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114136191904 = 2571037017057
BaseRepresentation
bin110101001001100001…
…1000001001110100000
3101220121100101021222211
41222103003001032200
53332222331120104
6124233342411504
711150254423660
oct1522303011640
9356540337884
10114136191904
114444a9a5329
121a153b90b94
13a9bc3c4537
14574a66a1a0
152e802c0e04
hex1a930c13a0

114136191904 has 96 divisors (see below), whose sum is σ = 259706393856. Its totient is φ = 48364646400.

The previous prime is 114136191889. The next prime is 114136191913. The reversal of 114136191904 is 409191631411.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 16169944 + ... + 16177000.

It is an arithmetic number, because the mean of its divisors is an integer number (2705274936).

Almost surely, 2114136191904 is an apocalyptic number.

114136191904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114136191904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129853196928).

114136191904 is an abundant number, since it is smaller than the sum of its proper divisors (145570201952).

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

114136191904 is a wasteful number, since it uses less digits than its factorization.

114136191904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 114136191904 in words is "one hundred fourteen billion, one hundred thirty-six million, one hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 701 721 824 1402 1442 1648 2804 2884 3296 4907 5608 5768 7057 9814 11216 11536 14114 19628 22432 23072 28228 39256 49399 56456 72203 78512 98798 112912 144406 157024 197596 225824 288812 395192 505421 577624 726871 790384 1010842 1155248 1453742 1580768 2021684 2310496 2907484 4043368 4946957 5088097 5814968 8086736 9893914 10176194 11629936 16173472 19787828 20352388 23259872 34628699 39575656 40704776 69257398 79151312 81409552 138514796 158302624 162819104 277029592 509536571 554059184 1019073142 1108118368 2038146284 3566755997 4076292568 7133511994 8152585136 14267023988 16305170272 28534047976 57068095952 114136191904