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114031890540 = 22325683927541
BaseRepresentation
bin110101000110011010…
…1001001000001101100
3101220100002010020102100
41222030311021001230
53332014130444130
6124215135055100
711144550035241
oct1521465110154
9356302106370
10114031890540
11443a7036157
121a125071490
13a9a3905c59
14573a8795c8
152e7606bc60
hex1a8cd4906c

114031890540 has 72 divisors (see below), whose sum is σ = 346403545488. Its totient is φ = 30363949440.

The previous prime is 114031890481. The next prime is 114031890563. The reversal of 114031890540 is 45098130411.

114031890540 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 31 + 89 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114031890495 and 114031890504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340831 + ... + 586710.

It is an arithmetic number, because the mean of its divisors is an integer number (4811160354).

Almost surely, 2114031890540 is an apocalyptic number.

114031890540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114031890540 is an abundant number, since it is smaller than the sum of its proper divisors (232371654948).

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

114031890540 is a wasteful number, since it uses less digits than its factorization.

114031890540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928239 (or 928234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 114031890540 in words is "one hundred fourteen billion, thirty-one million, eight hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 683 1366 2049 2732 3415 4098 6147 6830 8196 10245 12294 13660 20490 24588 30735 40980 61470 122940 927541 1855082 2782623 3710164 4637705 5565246 8347869 9275410 11130492 13913115 16695738 18550820 27826230 33391476 41739345 55652460 83478690 166957380 633510503 1267021006 1900531509 2534042012 3167552515 3801063018 5701594527 6335105030 7602126036 9502657545 11403189054 12670210060 19005315090 22806378108 28507972635 38010630180 57015945270 114031890540