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149,729

149,729 is a prime, odd.

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.).

149,729 (one hundred forty-nine thousand seven hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x248E1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
4,536
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
927,941
Square (n²)
22,418,773,441
Cube (n³)
3,356,740,528,547,489
Divisor count
2
σ(n) — sum of divisors
149,730
φ(n) — Euler's totient
149,728

Primality

149,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 149729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 149,729)
1 × 149729
First multiples
149,729 · 299,458 (double) · 449,187 · 598,916 · 748,645 · 898,374 · 1,048,103 · 1,197,832 · 1,347,561 · 1,497,290

Sums & aliquot sequence

As a sum of two squares: 73² + 380²
As consecutive integers: 74,864 + 74,865

Continued fraction of √n

√149,729 = [386; (1, 18, 2, 1, 6, 1, 1, 3, 1, 1, 1, 5, 2, 2, 6, 2, 3, 1, 4, 3, 5, 1, 7, 3, …)]

Representations

In words
one hundred forty-nine thousand seven hundred twenty-nine
Ordinal
149729th
Binary
100100100011100001
Octal
444341
Hexadecimal
0x248E1
Base64
Akjh
One's complement
4,294,817,566 (32-bit)
Scientific notation
1.49729 × 10⁵
As a duration
149,729 s = 1 day, 17 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 21121101112
quaternary (4) 210203201
quinary (5) 14242404
senary (6) 3113105
septenary (7) 1162346
nonary (9) 247345
undecimal (11) a2548
duodecimal (12) 72795
tridecimal (13) 531c8
tetradecimal (14) 3c7cd
pentadecimal (15) 2e56e

As an angle

149,729° = 415 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμθψκθʹ
Mayan (base 20)
𝋲·𝋮·𝋦·𝋩
Chinese
一十四萬九千七百二十九
Chinese (financial)
壹拾肆萬玖仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٤٩٧٢٩ Devanagari १४९७२९ Bengali ১৪৯৭২৯ Tamil ௧௪௯௭௨௯ Thai ๑๔๙๗๒๙ Tibetan ༡༤༩༧༢༩ Khmer ១៤៩៧២៩ Lao ໑໔໙໗໒໙ Burmese ၁၄၉၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 149731.

Unicode codepoint
𤣡
CJK Unified Ideograph-248E1
U+248E1
Other letter (Lo)

UTF-8 encoding: F0 A4 A3 A1 (4 bytes).

Hex color
#0248E1
RGB(2, 72, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.72.225.

Address
0.2.72.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.72.225

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 149,729 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 149729 first appears in π at position 86,180 of the decimal expansion (the 86,180ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.