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149,040

149,040 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.).

149,040 (one hundred forty-nine thousand forty) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5 × 23. Its proper divisors sum to 391,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24630.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
40,941
Recamán's sequence
a(211,052) = 149,040
Square (n²)
22,212,921,600
Cube (n³)
3,310,613,835,264,000
Divisor count
100
σ(n) — sum of divisors
540,144
φ(n) — Euler's totient
38,016
Sum of prime factors
48

Primality

Prime factorization: 2 4 × 3 4 × 5 × 23

Nearest primes: 149,033 (−7) · 149,053 (+13)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 23 · 24 · 27 · 30 · 36 · 40 · 45 · 46 · 48 · 54 · 60 · 69 · 72 · 80 · 81 · 90 · 92 · 108 · 115 · 120 · 135 · 138 · 144 · 162 · 180 · 184 · 207 · 216 · 230 · 240 · 270 · 276 · 324 · 345 · 360 · 368 · 405 · 414 · 432 · 460 · 540 · 552 · 621 · 648 · 690 · 720 · 810 · 828 · 920 · 1035 · 1080 · 1104 · 1242 · 1296 · 1380 · 1620 · 1656 · 1840 · 1863 · 2070 · 2160 · 2484 · 2760 · 3105 · 3240 · 3312 · 3726 · 4140 · 4968 · 5520 · 6210 · 6480 · 7452 · 8280 · 9315 · 9936 · 12420 · 14904 · 16560 · 18630 · 24840 · 29808 · 37260 · 49680 · 74520 (half) · 149040
Aliquot sum (sum of proper divisors): 391,104
Factor pairs (a × b = 149,040)
1 × 149040
2 × 74520
3 × 49680
4 × 37260
5 × 29808
6 × 24840
8 × 18630
9 × 16560
10 × 14904
12 × 12420
15 × 9936
16 × 9315
18 × 8280
20 × 7452
23 × 6480
24 × 6210
27 × 5520
30 × 4968
36 × 4140
40 × 3726
45 × 3312
46 × 3240
48 × 3105
54 × 2760
60 × 2484
69 × 2160
72 × 2070
80 × 1863
81 × 1840
90 × 1656
92 × 1620
108 × 1380
115 × 1296
120 × 1242
135 × 1104
138 × 1080
144 × 1035
162 × 920
180 × 828
184 × 810
207 × 720
216 × 690
230 × 648
240 × 621
270 × 552
276 × 540
324 × 460
345 × 432
360 × 414
368 × 405
First multiples
149,040 · 298,080 (double) · 447,120 · 596,160 · 745,200 · 894,240 · 1,043,280 · 1,192,320 · 1,341,360 · 1,490,400

Sums & aliquot sequence

As consecutive integers: 49,679 + 49,680 + 49,681 29,806 + 29,807 + 29,808 + 29,809 + 29,810 16,556 + 16,557 + … + 16,564 9,929 + 9,930 + … + 9,943
Aliquot sequence: 149,040 391,104 903,280 1,498,352 1,484,344 1,298,816 1,342,984 1,175,126 587,566 419,714 209,860 294,140 480,004 541,436 562,660 788,060 1,253,476 — unresolved within range

Continued fraction of √n

√149,040 = [386; (17, 1, 1, 4, 1, 5, 1, 1, 3, 1, 1, 85, 4, 2, 1, 1, 1, 47, 1, 1, 1, 2, 4, 85, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-nine thousand forty
Ordinal
149040th
Binary
100100011000110000
Octal
443060
Hexadecimal
0x24630
Base64
AkYw
One's complement
4,294,818,255 (32-bit)
Scientific notation
1.4904 × 10⁵
As a duration
149,040 s = 1 day, 17 hours, 24 minutes
In other bases
ternary (3) 21120110000
quaternary (4) 210120300
quinary (5) 14232130
senary (6) 3110000
septenary (7) 1160343
nonary (9) 246400
undecimal (11) a1a81
duodecimal (12) 72300
tridecimal (13) 52ab8
tetradecimal (14) 3c45a
pentadecimal (15) 2e260

As an angle

149,040° = 414 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμθμʹ
Mayan (base 20)
𝋲·𝋬·𝋬·𝋠
Chinese
一十四萬九千零四十
Chinese (financial)
壹拾肆萬玖仟零肆拾
In other modern scripts
Eastern Arabic ١٤٩٠٤٠ Devanagari १४९०४० Bengali ১৪৯০৪০ Tamil ௧௪௯௦௪௦ Thai ๑๔๙๐๔๐ Tibetan ༡༤༩༠༤༠ Khmer ១៤៩០៤០ Lao ໑໔໙໐໔໐ Burmese ၁၄၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149040, here are decompositions:

  • 7 + 149033 = 149040
  • 13 + 149027 = 149040
  • 19 + 149021 = 149040
  • 29 + 149011 = 149040
  • 43 + 148997 = 149040
  • 79 + 148961 = 149040
  • 83 + 148957 = 149040
  • 107 + 148933 = 149040

Showing the first eight; more decompositions exist.

Unicode codepoint
𤘰
CJK Unified Ideograph-24630
U+24630
Other letter (Lo)

UTF-8 encoding: F0 A4 98 B0 (4 bytes).

Hex color
#024630
RGB(2, 70, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.70.48.

Address
0.2.70.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.70.48

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 149,040 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 149040 first appears in π at position 90,018 of the decimal expansion (the 90,018ordinal-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°.