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10142141114112 = 28371886558987
BaseRepresentation
bin1001001110010110011010…
…1101111110011100000000
31022220120122020210222222020
42103211212231332130000
52312132101111122422
633323122454241440
72064513466025640
oct223454655763400
938816566728866
1010142141114112
113260292287957
121179746656280
135875274a2037
14270c4cc6a520
15128c48aed95c
hex93966b7e700

10142141114112 has 72 divisors (see below), whose sum is σ = 30849012571776. Its totient is φ = 2897754602496.

The previous prime is 10142141114107. The next prime is 10142141114113. The reversal of 10142141114112 is 21141114124101.

10142141114112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101421411141122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142141114113) 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, 943274118 + ... + 943284869.

Almost surely, 210142141114112 is an apocalyptic number.

10142141114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142141114112 is an abundant number, since it is smaller than the sum of its proper divisors (20706871457664).

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

10142141114112 is an equidigital number, since it uses as much as digits as its factorization.

10142141114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886559013 (or 1886558999 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 10142141114112 its reverse (21141114124101), we get a palindrome (31283255238213).

The spelling of 10142141114112 in words is "ten trillion, one hundred forty-two billion, one hundred forty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 1886558987 3773117974 5659676961 7546235948 11319353922 13205912909 15092471896 22638707844 26411825818 30184943792 39617738727 45277415688 52823651636 60369887584 79235477454 90554831376 105647303272 120739775168 158470954908 181109662752 211294606544 241479550336 316941909816 362219325504 422589213088 482959100672 633883819632 724438651008 845178426176 1267767639264 1448877302016 1690356852352 2535535278528 3380713704704 5071070557056 10142141114112