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114115624014 = 2372388148381
BaseRepresentation
bin110101001000111010…
…0100011110001001110
3101220112220200100011010
41222101310203301032
53332202044432024
6124231325510050
711146614541200
oct1522164436116
9356486610133
10114115624014
114443a327377
121a149112326
13a9b80727a2
145747a34770
152e7d5abb29
hex1a91d23c4e

114115624014 has 24 divisors (see below), whose sum is σ = 265493493288. Its totient is φ = 32604463920.

The previous prime is 114115624001. The next prime is 114115624031. The reversal of 114115624014 is 410426511411.

It is a super-3 number, since 3×1141156240143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194073897 + ... + 194074484.

It is an arithmetic number, because the mean of its divisors is an integer number (11062228887).

Almost surely, 2114115624014 is an apocalyptic number.

114115624014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114115624014 is an abundant number, since it is smaller than the sum of its proper divisors (151377869274).

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

114115624014 is a wasteful number, since it uses less digits than its factorization.

114115624014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388148400 (or 388148393 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 114115624014 in words is "one hundred fourteen billion, one hundred fifteen million, six hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 388148381 776296762 1164445143 2328890286 2717038667 5434077334 8151116001 16302232002 19019270669 38038541338 57057812007 114115624014