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10142542432 = 2511109264349
BaseRepresentation
bin10010111001000101…
…01110101001100000
3222011211222112120201
421130202232221200
5131232442324212
64354233514544
7506225121361
oct113442565140
928154875521
1010142542432
114335223280
121b70872a54
13c583a7ac9
146c3069b68
153e5667b57
hex25c8aea60

10142542432 has 48 divisors (see below), whose sum is σ = 21983346000. Its totient is φ = 4567933440.

The previous prime is 10142542393. The next prime is 10142542433. The reversal of 10142542432 is 23424524101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142542432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142542433) 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, 93807 + ... + 170542.

It is an arithmetic number, because the mean of its divisors is an integer number (457986375).

Almost surely, 210142542432 is an apocalyptic number.

It is an amenable number.

10142542432 is an abundant number, since it is smaller than the sum of its proper divisors (11840803568).

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

10142542432 is a wasteful number, since it uses less digits than its factorization.

10142542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264479 (or 264471 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 10142542432 in words is "ten billion, one hundred forty-two million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 2398 3488 4796 9592 19184 38368 264349 528698 1057396 2114792 2907839 4229584 5815678 8459168 11631356 23262712 28814041 46525424 57628082 93050848 115256164 230512328 316954451 461024656 633908902 922049312 1267817804 2535635608 5071271216 10142542432