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114525134015334 = 23721971288762989
BaseRepresentation
bin11010000010100011110101…
…111011100100101101100110
3120000111111101111112110120120
4122002203311323210231212
5110002334433301442314
61043324041550142410
733060111404150100
oct3202436573445546
9500444344473516
10114525134015334
113354492253aa59
1210a178a37b1a06
134bb989b444483
14203d090574570
15d390dcb468a9
hex6828f5ee4b66

114525134015334 has 96 divisors (see below), whose sum is σ = 284419994630400. Its totient is φ = 30562674649920.

The previous prime is 114525134015267. The next prime is 114525134015371. The reversal of 114525134015334 is 433510431525411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143984889 + ... + 144778100.

It is an arithmetic number, because the mean of its divisors is an integer number (2962708277400).

Almost surely, 2114525134015334 is an apocalyptic number.

114525134015334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114525134015334 is an abundant number, since it is smaller than the sum of its proper divisors (169894860615066).

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

114525134015334 is a wasteful number, since it uses less digits than its factorization.

114525134015334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288763098 (or 288763091 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 114525134015334 in words is "one hundred fourteen trillion, five hundred twenty-five billion, one hundred thirty-four million, fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 71 98 114 133 142 147 213 266 294 399 426 497 798 931 994 1349 1491 1862 2698 2793 2982 3479 4047 5586 6958 8094 9443 10437 18886 20874 28329 56658 66101 132202 198303 396606 288762989 577525978 866288967 1732577934 2021340923 4042681846 5486496791 6064022769 10972993582 12128045538 14149386461 16459490373 20502172219 28298772922 32918980746 38405477537 41004344438 42448159383 61506516657 76810955074 84896318766 115216432611 123013033314 143515205533 230432865222 268838342759 287030411066 389541272161 430545616599 537676685518 779082544322 806515028277 861091233198 1004606438731 1168623816483 1613030056554 2009212877462 2337247632966 2726788905127 3013819316193 5453577810254 6027638632386 8180366715381 16360733430762 19087522335889 38175044671778 57262567007667 114525134015334