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10142544144 = 2431571345879
BaseRepresentation
bin10010111001000101…
…01111000100010000
3222011211222121221010
421130202233010100
5131232442403034
64354233530520
7506225126355
oct113442570420
928154877833
1010142544144
114335224597
121b70873a40
13c583a8815
146c306a62c
153e56683e9
hex25c8af110

10142544144 has 40 divisors (see below), whose sum is σ = 26368480960. Its totient is φ = 3359311488.

The previous prime is 10142544143. The next prime is 10142544161. The reversal of 10142544144 is 44144524101.

It is not an unprimeable number, because it can be changed into a prime (10142544143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665404 + ... + 680475.

It is an arithmetic number, because the mean of its divisors is an integer number (659212024).

Almost surely, 210142544144 is an apocalyptic number.

It is an amenable number.

10142544144 is an abundant number, since it is smaller than the sum of its proper divisors (16225936816).

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

10142544144 is a wasteful number, since it uses less digits than its factorization.

10142544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346047 (or 1346041 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 10142544144 in words is "ten billion, one hundred forty-two million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 1345879 2691758 4037637 5383516 8075274 10767032 16150548 21534064 32301096 64602192 211303003 422606006 633909009 845212012 1267818018 1690424024 2535636036 3380848048 5071272072 10142544144