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150,401

150,401 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.).

150,401 (one hundred fifty thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24B81.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
104,051
Square (n²)
22,620,460,801
Cube (n³)
3,402,139,924,931,201
Divisor count
2
σ(n) — sum of divisors
150,402
φ(n) — Euler's totient
150,400

Primality

150,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 150401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 150,401)
1 × 150401
First multiples
150,401 · 300,802 (double) · 451,203 · 601,604 · 752,005 · 902,406 · 1,052,807 · 1,203,208 · 1,353,609 · 1,504,010

Sums & aliquot sequence

As a sum of two squares: 95² + 376²
As consecutive integers: 75,200 + 75,201

Continued fraction of √n

√150,401 = [387; (1, 4, 2, 2, 1, 5, 2, 45, 6, 26, 1, 1, 2, 1, 1, 1, 2, 2, 3, 3, 2, 3, 2, 3, …)]

Representations

In words
one hundred fifty thousand four hundred one
Ordinal
150401st
Binary
100100101110000001
Octal
445601
Hexadecimal
0x24B81
Base64
AkuB
One's complement
4,294,816,894 (32-bit)
Scientific notation
1.50401 × 10⁵
As a duration
150,401 s = 1 day, 17 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 21122022102
quaternary (4) 210232001
quinary (5) 14303101
senary (6) 3120145
septenary (7) 1164326
nonary (9) 248272
undecimal (11) a2aa9
duodecimal (12) 73055
tridecimal (13) 535c4
tetradecimal (14) 3cb4d
pentadecimal (15) 2e86b

As an angle

150,401° = 417 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρνυαʹ
Mayan (base 20)
𝋲·𝋰·𝋠·𝋡
Chinese
一十五萬零四百零一
Chinese (financial)
壹拾伍萬零肆佰零壹
In other modern scripts
Eastern Arabic ١٥٠٤٠١ Devanagari १५०४०१ Bengali ১৫০৪০১ Tamil ௧௫௦௪௦௧ Thai ๑๕๐๔๐๑ Tibetan ༡༥༠༤༠༡ Khmer ១៥០៤០១ Lao ໑໕໐໔໐໑ Burmese ၁၅၀၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 150407.

Unicode codepoint
𤮁
CJK Unified Ideograph-24B81
U+24B81
Other letter (Lo)

UTF-8 encoding: F0 A4 AE 81 (4 bytes).

Hex color
#024B81
RGB(2, 75, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.75.129.

Address
0.2.75.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.75.129

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 150,401 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 150401 first appears in π at position 238,831 of the decimal expansion (the 238,831ordinal-suffix:st 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.