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144,701

144,701 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.).

144,701 (one hundred forty-four thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2353D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
107,441
Recamán's sequence
a(219,014) = 144,701
Square (n²)
20,938,379,401
Cube (n³)
3,029,804,437,704,101
Divisor count
2
σ(n) — sum of divisors
144,702
φ(n) — Euler's totient
144,700

Primality

144,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 144701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 144,701)
1 × 144701
First multiples
144,701 · 289,402 (double) · 434,103 · 578,804 · 723,505 · 868,206 · 1,012,907 · 1,157,608 · 1,302,309 · 1,447,010

Sums & aliquot sequence

As a sum of two squares: 149² + 350²
As consecutive integers: 72,350 + 72,351

Continued fraction of √n

√144,701 = [380; (2, 1, 1, 9, 32, 1, 37, 14, 3, 21, 2, 2, 3, 7, 3, 5, 2, 2, 26, 1, 3, 4, 5, 1, …)]

Representations

In words
one hundred forty-four thousand seven hundred one
Ordinal
144701st
Binary
100011010100111101
Octal
432475
Hexadecimal
0x2353D
Base64
AjU9
One's complement
4,294,822,594 (32-bit)
Scientific notation
1.44701 × 10⁵
As a duration
144,701 s = 1 day, 16 hours, 11 minutes, 41 seconds
In other bases
ternary (3) 21100111022
quaternary (4) 203110331
quinary (5) 14112301
senary (6) 3033525
septenary (7) 1141604
nonary (9) 240438
undecimal (11) 99797
duodecimal (12) 6b8a5
tridecimal (13) 50b2b
tetradecimal (14) 3aa3b
pentadecimal (15) 2cd1b

As an angle

144,701° = 401 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμδψαʹ
Mayan (base 20)
𝋲·𝋡·𝋯·𝋡
Chinese
一十四萬四千七百零一
Chinese (financial)
壹拾肆萬肆仟柒佰零壹
In other modern scripts
Eastern Arabic ١٤٤٧٠١ Devanagari १४४७०१ Bengali ১৪৪৭০১ Tamil ௧௪௪௭௦௧ Thai ๑๔๔๗๐๑ Tibetan ༡༤༤༧༠༡ Khmer ១៤៤៧០១ Lao ໑໔໔໗໐໑ Burmese ၁၄၄၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣔽
CJK Unified Ideograph-2353D
U+2353D
Other letter (Lo)

UTF-8 encoding: F0 A3 94 BD (4 bytes).

Hex color
#02353D
RGB(2, 53, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.53.61.

Address
0.2.53.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.53.61

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 144,701 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.