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149,742

149,742 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.).

149,742 (one hundred forty-nine thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 47 × 59. Its proper divisors sum to 195,858, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x248EE.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
247,941
Square (n²)
22,422,666,564
Cube (n³)
3,357,614,936,626,488
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
48,024
Sum of prime factors
117

Primality

Prime factorization: 2 × 3 3 × 47 × 59

Nearest primes: 149,731 (−11) · 149,749 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 47 · 54 · 59 · 94 · 118 · 141 · 177 · 282 · 354 · 423 · 531 · 846 · 1062 · 1269 · 1593 · 2538 · 2773 · 3186 · 5546 · 8319 · 16638 · 24957 · 49914 · 74871 (half) · 149742
Aliquot sum (sum of proper divisors): 195,858
Factor pairs (a × b = 149,742)
1 × 149742
2 × 74871
3 × 49914
6 × 24957
9 × 16638
18 × 8319
27 × 5546
47 × 3186
54 × 2773
59 × 2538
94 × 1593
118 × 1269
141 × 1062
177 × 846
282 × 531
354 × 423
First multiples
149,742 · 299,484 (double) · 449,226 · 598,968 · 748,710 · 898,452 · 1,048,194 · 1,197,936 · 1,347,678 · 1,497,420

Sums & aliquot sequence

As consecutive integers: 49,913 + 49,914 + 49,915 37,434 + 37,435 + 37,436 + 37,437 16,634 + 16,635 + … + 16,642 12,473 + 12,474 + … + 12,484
Aliquot sequence: 149,742 195,858 293,358 338,658 338,670 571,122 666,348 888,492 1,433,940 2,581,260 5,305,332 7,725,868 5,814,092 4,434,748 3,340,964 3,037,324 2,378,660 — unresolved within range

Continued fraction of √n

√149,742 = [386; (1, 27, 1, 1, 1, 85, 3, 28, 3, 85, 1, 1, 1, 27, 1, 772)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-nine thousand seven hundred forty-two
Ordinal
149742nd
Binary
100100100011101110
Octal
444356
Hexadecimal
0x248EE
Base64
Akju
One's complement
4,294,817,553 (32-bit)
Scientific notation
1.49742 × 10⁵
As a duration
149,742 s = 1 day, 17 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 21121102000
quaternary (4) 210203232
quinary (5) 14242432
senary (6) 3113130
septenary (7) 1162365
nonary (9) 247360
undecimal (11) a255a
duodecimal (12) 727a6
tridecimal (13) 53208
tetradecimal (14) 3c7dc
pentadecimal (15) 2e57c

As an angle

149,742° = 415 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμθψμβʹ
Mayan (base 20)
𝋲·𝋮·𝋧·𝋢
Chinese
一十四萬九千七百四十二
Chinese (financial)
壹拾肆萬玖仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٤٩٧٤٢ Devanagari १४९७४२ Bengali ১৪৯৭৪২ Tamil ௧௪௯௭௪௨ Thai ๑๔๙๗๔๒ Tibetan ༡༤༩༧༤༢ Khmer ១៤៩៧៤២ Lao ໑໔໙໗໔໒ Burmese ၁၄၉၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149742, here are decompositions:

  • 11 + 149731 = 149742
  • 13 + 149729 = 149742
  • 29 + 149713 = 149742
  • 31 + 149711 = 149742
  • 53 + 149689 = 149742
  • 113 + 149629 = 149742
  • 139 + 149603 = 149742
  • 163 + 149579 = 149742

Showing the first eight; more decompositions exist.

Unicode codepoint
𤣮
CJK Unified Ideograph-248Ee
U+248EE
Other letter (Lo)

UTF-8 encoding: F0 A4 A3 AE (4 bytes).

Hex color
#0248EE
RGB(2, 72, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.72.238.

Address
0.2.72.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.72.238

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 149,742 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 149742 first appears in π at position 780,405 of the decimal expansion (the 780,405ordinal-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°.