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149,940

149,940 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

149,940 (one hundred forty-nine thousand nine hundred forty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 5 × 7² × 17. Its proper divisors sum to 410,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x249B4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
49,941
Square (n²)
22,482,003,600
Cube (n³)
3,370,951,619,784,000
Divisor count
108
σ(n) — sum of divisors
560,196
φ(n) — Euler's totient
32,256
Sum of prime factors
46

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 2 × 17

Nearest primes: 149,939 (−1) · 149,953 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 17 · 18 · 20 · 21 · 28 · 30 · 34 · 35 · 36 · 42 · 45 · 49 · 51 · 60 · 63 · 68 · 70 · 84 · 85 · 90 · 98 · 102 · 105 · 119 · 126 · 140 · 147 · 153 · 170 · 180 · 196 · 204 · 210 · 238 · 245 · 252 · 255 · 294 · 306 · 315 · 340 · 357 · 420 · 441 · 476 · 490 · 510 · 588 · 595 · 612 · 630 · 714 · 735 · 765 · 833 · 882 · 980 · 1020 · 1071 · 1190 · 1260 · 1428 · 1470 · 1530 · 1666 · 1764 · 1785 · 2142 · 2205 · 2380 · 2499 · 2940 · 3060 · 3332 · 3570 · 4165 · 4284 · 4410 · 4998 · 5355 · 7140 · 7497 · 8330 · 8820 · 9996 · 10710 · 12495 · 14994 · 16660 · 21420 · 24990 · 29988 · 37485 · 49980 · 74970 (half) · 149940
Aliquot sum (sum of proper divisors): 410,256
Factor pairs (a × b = 149,940)
1 × 149940
2 × 74970
3 × 49980
4 × 37485
5 × 29988
6 × 24990
7 × 21420
9 × 16660
10 × 14994
12 × 12495
14 × 10710
15 × 9996
17 × 8820
18 × 8330
20 × 7497
21 × 7140
28 × 5355
30 × 4998
34 × 4410
35 × 4284
36 × 4165
42 × 3570
45 × 3332
49 × 3060
51 × 2940
60 × 2499
63 × 2380
68 × 2205
70 × 2142
84 × 1785
85 × 1764
90 × 1666
98 × 1530
102 × 1470
105 × 1428
119 × 1260
126 × 1190
140 × 1071
147 × 1020
153 × 980
170 × 882
180 × 833
196 × 765
204 × 735
210 × 714
238 × 630
245 × 612
252 × 595
255 × 588
294 × 510
306 × 490
315 × 476
340 × 441
357 × 420
First multiples
149,940 · 299,880 (double) · 449,820 · 599,760 · 749,700 · 899,640 · 1,049,580 · 1,199,520 · 1,349,460 · 1,499,400

Sums & aliquot sequence

As a sum of two squares: 84² + 378² = 252² + 294²
As consecutive integers: 49,979 + 49,980 + 49,981 29,986 + 29,987 + 29,988 + 29,989 + 29,990 21,417 + 21,418 + … + 21,423 18,739 + 18,740 + … + 18,746
Aliquot sequence: 149,940 410,256 1,059,888 1,725,648 2,732,400 8,338,320 20,513,256 31,539,384 53,879,976 92,972,184 153,131,736 230,331,624 354,812,376 532,218,624 1,086,629,376 2,221,801,728 3,691,433,040 — unresolved within range

Continued fraction of √n

√149,940 = [387; (4, 1, 1, 8, 1, 1, 4, 774)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-nine thousand nine hundred forty
Ordinal
149940th
Binary
100100100110110100
Octal
444664
Hexadecimal
0x249B4
Base64
Akm0
One's complement
4,294,817,355 (32-bit)
Scientific notation
1.4994 × 10⁵
As a duration
149,940 s = 1 day, 17 hours, 39 minutes
In other bases
ternary (3) 21121200100
quaternary (4) 210212310
quinary (5) 14244230
senary (6) 3114100
septenary (7) 1163100
nonary (9) 247610
undecimal (11) a271a
duodecimal (12) 72930
tridecimal (13) 5332b
tetradecimal (14) 3c900
pentadecimal (15) 2e660

As an angle

149,940° = 416 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμθϡμʹ
Mayan (base 20)
𝋲·𝋮·𝋱·𝋠
Chinese
一十四萬九千九百四十
Chinese (financial)
壹拾肆萬玖仟玖佰肆拾
In other modern scripts
Eastern Arabic ١٤٩٩٤٠ Devanagari १४९९४० Bengali ১৪৯৯৪০ Tamil ௧௪௯௯௪௦ Thai ๑๔๙๙๔๐ Tibetan ༡༤༩༩༤༠ Khmer ១៤៩៩៤០ Lao ໑໔໙໙໔໐ Burmese ၁၄၉၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149940, here are decompositions:

  • 19 + 149921 = 149940
  • 29 + 149911 = 149940
  • 31 + 149909 = 149940
  • 41 + 149899 = 149940
  • 47 + 149893 = 149940
  • 67 + 149873 = 149940
  • 73 + 149867 = 149940
  • 79 + 149861 = 149940

Showing the first eight; more decompositions exist.

Unicode codepoint
𤦴
CJK Unified Ideograph-249B4
U+249B4
Other letter (Lo)

UTF-8 encoding: F0 A4 A6 B4 (4 bytes).

Hex color
#0249B4
RGB(2, 73, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.73.180.

Address
0.2.73.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.73.180

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 149,940 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 149940 first appears in π at position 363,511 of the decimal expansion (the 363,511ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.