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10140752144 = 2417291712781
BaseRepresentation
bin10010111000110111…
…11001100100010000
3222011201121120202202
421130123321210100
5131232013032034
64354131302332
7506203654025
oct113433714420
928151546682
1010140752144
1143342101a6
121b7014a9a8
13c57bcbc73
146c2b2154c
153e541247e
hex25c6f9910

10140752144 has 40 divisors (see below), whose sum is σ = 20812214808. Its totient is φ = 4770109440.

The previous prime is 10140752131. The next prime is 10140752173. The reversal of 10140752144 is 44125704101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7530768400 + 2609983744 = 86780^2 + 51088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787034 + ... + 799814.

Almost surely, 210140752144 is an apocalyptic number.

It is an amenable number.

10140752144 is an abundant number, since it is smaller than the sum of its proper divisors (10671462664).

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

10140752144 is a wasteful number, since it uses less digits than its factorization.

10140752144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15717 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 10140752144 in words is "ten billion, one hundred forty million, seven hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 2917 5834 11668 12781 23336 25562 46672 49589 51124 99178 102248 198356 204496 217277 396712 434554 793424 869108 1738216 3476432 37282177 74564354 149128708 298257416 596514832 633797009 1267594018 2535188036 5070376072 10140752144