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13114132400382 = 23131614711041239
BaseRepresentation
bin1011111011010101111100…
…1101000000100011111110
31201102200212102202012021120
42332311133031000203332
53204330220343303012
643520314350011410
72522315266114356
oct276653715004376
951380772665246
1013114132400382
1141a6743945432
1215797344a6b66
13741871352c40
14334a27d85b66
1517b1de45958c
hexbed5f3408fe

13114132400382 has 32 divisors (see below), whose sum is σ = 28246025687040. Its totient is φ = 4035088796640.

The previous prime is 13114132400381. The next prime is 13114132400419. The reversal of 13114132400382 is 28300423141131.

It is a super-2 number, since 2×131141324003822 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114132400381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12074119 + ... + 13115357.

It is an arithmetic number, because the mean of its divisors is an integer number (882688302720).

Almost surely, 213114132400382 is an apocalyptic number.

13114132400382 is an abundant number, since it is smaller than the sum of its proper divisors (15131893286658).

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

13114132400382 is a wasteful number, since it uses less digits than its factorization.

13114132400382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202728.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13114132400382 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-two million, four hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 161471 322942 484413 968826 1041239 2082478 2099123 3123717 4198246 6247434 6297369 12594738 13536107 27072214 40608321 81216642 168129902569 336259805138 504389707707 1008779415414 2185688733397 4371377466794 6557066200191 13114132400382