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10142111190760 = 23523106310370681
BaseRepresentation
bin1001001110010110010011…
…1011110100111011101000
31022220120120011111201211221
42103211210323310323220
52312132020431101020
633323115505031424
72064512653466563
oct223454473647350
938816504451757
1010142111190760
1132602773aa00a
121179738625574
13587521225c03
14270c48cbb4da
15128c4618c6aa
hex93964ef4ee8

10142111190760 has 64 divisors (see below), whose sum is σ = 23834316199680. Its totient is φ = 3876809080320.

The previous prime is 10142111190749. The next prime is 10142111190787. The reversal of 10142111190760 is 6709111124101.

It is a happy 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, 4207381 + ... + 6163300.

It is an arithmetic number, because the mean of its divisors is an integer number (372411190620).

Almost surely, 210142111190760 is an apocalyptic number.

10142111190760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142111190760 is an abundant number, since it is smaller than the sum of its proper divisors (13692205008920).

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

10142111190760 is a wasteful number, since it uses less digits than its factorization.

10142111190760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371778 (or 10371774 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

The spelling of 10142111190760 in words is "ten trillion, one hundred forty-two billion, one hundred eleven million, one hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1063 2126 4252 5315 8504 10630 21260 24449 42520 48898 97796 122245 195592 244490 488980 977960 10370681 20741362 41482724 51853405 82965448 103706810 207413620 238525663 414827240 477051326 954102652 1192628315 1908205304 2385256630 4770513260 9541026520 11024033903 22048067806 44096135612 55120169515 88192271224 110240339030 220480678060 253552779769 440961356120 507105559538 1014211119076 1267763898845 2028422238152 2535527797690 5071055595380 10142111190760