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114720423114 = 2311196110913759
BaseRepresentation
bin110101011010111011…
…1101011110011001010
3101222010001201022112210
41222311313223303022
53334421412014424
6124411332445550
711200610335653
oct1526567536312
9358101638483
10114720423114
114471a762940
121a2977798b6
13aa8345b88b
1457a40aa52a
152eb6726729
hex1ab5debcca

114720423114 has 128 divisors (see below), whose sum is σ = 270268416000. Its totient is φ = 32094662400.

The previous prime is 114720423113. The next prime is 114720423119. The reversal of 114720423114 is 411324027411.

114720423114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114720423113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8330967 + ... + 8344725.

It is an arithmetic number, because the mean of its divisors is an integer number (2111472000).

Almost surely, 2114720423114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114720423114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135134208000).

114720423114 is an abundant number, since it is smaller than the sum of its proper divisors (155547992886).

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

114720423114 is a wasteful number, since it uses less digits than its factorization.

114720423114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13964.

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 114720423114 in words is "one hundred fourteen billion, seven hundred twenty million, four hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 109 114 122 183 209 218 327 366 418 627 654 671 1159 1199 1254 1342 2013 2071 2318 2398 3477 3597 4026 4142 6213 6649 6954 7194 12426 12749 13298 13759 19947 22781 25498 27518 38247 39894 41277 45562 68343 73139 76494 82554 126331 136686 146278 151349 219417 252662 261421 302698 378993 438834 454047 522842 757986 784263 839299 908094 1389641 1499731 1568526 1678598 2517897 2779282 2875631 2999462 4168923 4499193 5035794 5751262 8337846 8626893 8998386 9232289 15946681 16497041 17253786 18464578 27696867 28494889 31893362 32994082 47840043 49491123 55393734 56989778 85484667 91483591 95680086 98982246 170969334 175413491 182967182 274450773 313443779 350826982 526240473 548901546 626887558 940331337 1006319501 1052480946 1738188229 1880662674 2012639002 3018958503 3476376458 5214564687 6037917006 10429129374 19120070519 38240141038 57360211557 114720423114