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149,988

149,988 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.).

149,988 (one hundred forty-nine thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 431. Its proper divisors sum to 212,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x249E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
20,736
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
889,941
Square (n²)
22,496,400,144
Cube (n³)
3,374,190,064,798,272
Divisor count
24
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
48,160
Sum of prime factors
467

Primality

Prime factorization: 2 2 × 3 × 29 × 431

Nearest primes: 149,971 (−17) · 149,993 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 431 · 862 · 1293 · 1724 · 2586 · 5172 · 12499 · 24998 · 37497 · 49996 · 74994 (half) · 149988
Aliquot sum (sum of proper divisors): 212,892
Factor pairs (a × b = 149,988)
1 × 149988
2 × 74994
3 × 49996
4 × 37497
6 × 24998
12 × 12499
29 × 5172
58 × 2586
87 × 1724
116 × 1293
174 × 862
348 × 431
First multiples
149,988 · 299,976 (double) · 449,964 · 599,952 · 749,940 · 899,928 · 1,049,916 · 1,199,904 · 1,349,892 · 1,499,880

Sums & aliquot sequence

As consecutive integers: 49,995 + 49,996 + 49,997 18,745 + 18,746 + … + 18,752 6,238 + 6,239 + … + 6,261 5,158 + 5,159 + … + 5,186
Aliquot sequence: 149,988 212,892 291,444 397,356 529,836 726,804 1,252,992 2,345,568 3,941,328 6,324,880 8,497,832 10,140,568 10,154,792 9,198,508 9,288,212 7,009,888 6,790,892 — unresolved within range

Continued fraction of √n

√149,988 = [387; (3, 1, 1, 6, 1, 1, 6, 1, 2, 2, 1, 2, 10, 1, 1, 5, 1, 7, 4, 1, 1, 22, 1, 11, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-nine thousand nine hundred eighty-eight
Ordinal
149988th
Binary
100100100111100100
Octal
444744
Hexadecimal
0x249E4
Base64
Aknk
One's complement
4,294,817,307 (32-bit)
Scientific notation
1.49988 × 10⁵
As a duration
149,988 s = 1 day, 17 hours, 39 minutes, 48 seconds
In other bases
ternary (3) 21121202010
quaternary (4) 210213210
quinary (5) 14244423
senary (6) 3114220
septenary (7) 1163166
nonary (9) 247663
undecimal (11) a2763
duodecimal (12) 72970
tridecimal (13) 53367
tetradecimal (14) 3c936
pentadecimal (15) 2e693

As an angle

149,988° = 416 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμθϡπηʹ
Mayan (base 20)
𝋲·𝋮·𝋳·𝋨
Chinese
一十四萬九千九百八十八
Chinese (financial)
壹拾肆萬玖仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٤٩٩٨٨ Devanagari १४९९८८ Bengali ১৪৯৯৮৮ Tamil ௧௪௯௯௮௮ Thai ๑๔๙๙๘๘ Tibetan ༡༤༩༩༨༨ Khmer ១៤៩៩៨៨ Lao ໑໔໙໙໘໘ Burmese ၁၄၉၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149988, here are decompositions:

  • 17 + 149971 = 149988
  • 19 + 149969 = 149988
  • 67 + 149921 = 149988
  • 79 + 149909 = 149988
  • 89 + 149899 = 149988
  • 127 + 149861 = 149988
  • 149 + 149839 = 149988
  • 151 + 149837 = 149988

Showing the first eight; more decompositions exist.

Unicode codepoint
𤧤
CJK Unified Ideograph-249E4
U+249E4
Other letter (Lo)

UTF-8 encoding: F0 A4 A7 A4 (4 bytes).

Hex color
#0249E4
RGB(2, 73, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.73.228.

Address
0.2.73.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.73.228

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 149,988 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 149988 first appears in π at position 448,398 of the decimal expansion (the 448,398ordinal-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°.