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114557299974 = 23513211812
BaseRepresentation
bin110101010110000100…
…1011010110100000110
3101221200200202210200000
41222230021122310012
53334103132044344
6124343224302130
711163556661205
oct1525411326406
9357620683600
10114557299974
1144646678027
121a251011946
13aa58716700
14578a56723c
152ea7253a69
hex1aac25ad06

114557299974 has 108 divisors (see below), whose sum is σ = 278959665348. Its totient is φ = 35218553760.

The previous prime is 114557299973. The next prime is 114557299999. The reversal of 114557299974 is 479992755411.

114557299974 is a `hidden beast` number, since 1 + 1 + 4 + 557 + 2 + 9 + 9 + 9 + 74 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114557299973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 96999664 + ... + 97000844.

Almost surely, 2114557299974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114557299974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139479832674).

114557299974 is an abundant number, since it is smaller than the sum of its proper divisors (164402365374).

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

114557299974 is an frugal number, since it uses more digits than its factorization.

114557299974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 1199 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 114557299974 in words is "one hundred fourteen billion, five hundred fifty-seven million, two hundred ninety-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1014 1053 1181 1521 2106 2362 3042 3159 3543 4563 6318 7086 9126 10629 13689 15353 21258 27378 30706 31887 41067 46059 63774 82134 92118 95661 138177 191322 199589 276354 286983 399178 414531 573966 598767 829062 1197534 1243593 1394761 1796301 2487186 2789522 3592602 3730779 4184283 5388903 7461558 8368566 10777806 12552849 16166709 18131893 25105698 32333418 36263786 37658547 48500127 54395679 75317094 97000254 108791358 112975641 163187037 225951282 235714609 326374074 338926923 471429218 489561111 677853846 707143827 979122222 1414287654 1468683333 2121431481 2937366666 4242862962 4406049999 6364294443 8812099998 12728588886 19092883329 38185766658 57278649987 114557299974