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114133020204 = 22374775738189
BaseRepresentation
bin110101001001011011…
…0111010111000101100
3101220121010102011020110
41222102312322320230
53332221023121304
6124233150420020
711150215444020
oct1522266727054
9356533364213
10114133020204
1144449129395
121a152b01610
13a9bb8539a8
14574a082380
152e7ed96289
hex1a92dbae2c

114133020204 has 96 divisors (see below), whose sum is σ = 311249111040. Its totient is φ = 31872621312.

The previous prime is 114133020193. The next prime is 114133020247. The reversal of 114133020204 is 402020331411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2969542 + ... + 3007730.

It is an arithmetic number, because the mean of its divisors is an integer number (3242178240).

Almost surely, 2114133020204 is an apocalyptic number.

114133020204 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 114133020204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155624555520).

114133020204 is an abundant number, since it is smaller than the sum of its proper divisors (197116090836).

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

114133020204 is a wasteful number, since it uses less digits than its factorization.

114133020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39007 (or 39005 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114133020204 its reverse (402020331411), we get a palindrome (516153351615).

The spelling of 114133020204 in words is "one hundred fourteen billion, one hundred thirty-three million, twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 757 987 1316 1514 1974 2271 3028 3948 4542 5299 9084 10598 15897 21196 31794 35579 38189 63588 71158 76378 106737 114567 142316 152756 213474 229134 249053 267323 426948 458268 498106 534646 747159 801969 996212 1069292 1494318 1603938 1794883 2988636 3207876 3589766 5384649 7179532 10769298 12564181 21538596 25128362 28909073 37692543 50256724 57818146 75385086 86727219 115636292 150770172 173454438 202363511 346908876 404727022 607090533 809454044 1214181066 1358726431 2428362132 2717452862 4076179293 5434905724 8152358586 9511085017 16304717172 19022170034 28533255051 38044340068 57066510102 114133020204