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10144430311320 = 233359392991029
BaseRepresentation
bin1001001110011110111100…
…1010100100011110011000
31022220210112210100021012000
42103213233022210132120
52312201243124430240
633324141551521000
72064624303625164
oct223475712443630
938823483307160
1010144430311320
11326125749a678
12117a085229160
135878008340b6
14270dc8cc5ca4
15128d2ea89430
hex939ef2a4798

10144430311320 has 64 divisors (see below), whose sum is σ = 33814767708000. Its totient is φ = 2705181416064.

The previous prime is 10144430311231. The next prime is 10144430311343. The reversal of 10144430311320 is 2311303444101.

10144430311320 is a `hidden beast` number, since 10 + 14 + 4 + 4 + 3 + 0 + 311 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696494435 + ... + 4696496594.

Almost surely, 210144430311320 is an apocalyptic number.

10144430311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144430311320 is an abundant number, since it is smaller than the sum of its proper divisors (23670337396680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144430311320 is a wasteful number, since it uses less digits than its factorization.

10144430311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392991049 (or 9392991039 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10144430311320 its reverse (2311303444101), we get a palindrome (12455733755421).

The spelling of 10144430311320 in words is "ten trillion, one hundred forty-four billion, four hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9392991029 18785982058 28178973087 37571964116 46964955145 56357946174 75143928232 84536919261 93929910290 112715892348 140894865435 169073838522 187859820580 225431784696 253610757783 281789730870 338147677044 375719641160 422684596305 507221515566 563579461740 676295354088 845369192610 1014443031132 1127158923480 1268053788915 1690738385220 2028886062264 2536107577830 3381476770440 5072215155660 10144430311320