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114577456344 = 23313432198613
BaseRepresentation
bin110101010110101011…
…0010011110011011000
3101221202002200212000020
41222231112103303120
53334123312100334
6124345224310440
711164223211141
oct1525526236330
9357662625006
10114577456344
1144656a9488a
121a257912420
13aa5c953060
14578d0d2ac8
152ea8dd5e49
hex1aad593cd8

114577456344 has 96 divisors (see below), whose sum is σ = 315820093680. Its totient is φ = 34434554112.

The previous prime is 114577456339. The next prime is 114577456373. The reversal of 114577456344 is 443654775411.

It is a super-2 number, since 2×1145774563442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477582 + ... + 676194.

Almost surely, 2114577456344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114577456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157910046840).

114577456344 is an abundant number, since it is smaller than the sum of its proper divisors (201242637336).

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

114577456344 is a wasteful number, since it uses less digits than its factorization.

114577456344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198721 (or 198674 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The spelling of 114577456344 in words is "one hundred fourteen billion, five hundred seventy-seven million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 1849 2236 3354 3698 4472 5547 6708 7396 11094 13416 14792 22188 24037 44376 48074 72111 96148 144222 192296 198613 288444 397226 576888 595839 794452 1191678 1588904 2383356 2581969 4766712 5163938 7745907 8540359 10327876 15491814 17080718 20655752 25621077 30983628 34161436 51242154 61967256 68322872 102484308 111024667 204968616 222049334 333074001 367235437 444098668 666148002 734470874 888197336 1101706311 1332296004 1468941748 2203412622 2664592008 2937883496 4406825244 4774060681 8813650488 9548121362 14322182043 19096242724 28644364086 38192485448 57288728172 114577456344