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10144142232 = 2337292082131
BaseRepresentation
bin10010111001010001…
…10101001110011000
3222011221222211002120
421130220311032120
5131233400022412
64354332101240
7506244533460
oct113450651630
928157884076
1010144142232
114336116224
121b71304820
13c58818033
146c3364ba0
153e5881b8c
hex25ca35398

10144142232 has 64 divisors (see below), whose sum is σ = 29982700800. Its totient is φ = 2798382720.

The previous prime is 10144142201. The next prime is 10144142257. The reversal of 10144142232 is 23224144101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036194 + ... + 1045937.

It is an arithmetic number, because the mean of its divisors is an integer number (468479700).

Almost surely, 210144142232 is an apocalyptic number.

10144142232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10144142232 is an abundant number, since it is smaller than the sum of its proper divisors (19838558568).

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

10144142232 is a wasteful number, since it uses less digits than its factorization.

10144142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082176 (or 2082172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10144142232 its reverse (23224144101), we get a palindrome (33368286333).

The spelling of 10144142232 in words is "ten billion, one hundred forty-four million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 2082131 4164262 6246393 8328524 12492786 14574917 16657048 24985572 29149834 43724751 49971144 58299668 60381799 87449502 116599336 120763598 174899004 181145397 241527196 349798008 362290794 422672593 483054392 724581588 845345186 1268017779 1449163176 1690690372 2536035558 3381380744 5072071116 10144142232