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114610307490 = 232571279142237
BaseRepresentation
bin110101010111101001…
…1101000000110100010
3101221211101111212022100
41222233103220012202
53334210214314430
6124352400351230
711165102353110
oct1525723500642
9357741455270
10114610307490
1144673592398
121a266915516
13aa666b59c3
145793604ab0
152eabc24960
hex1aaf4e81a2

114610307490 has 96 divisors (see below), whose sum is σ = 340825006080. Its totient is φ = 26175975552.

The previous prime is 114610307477. The next prime is 114610307533. The reversal of 114610307490 is 94703016411.

114610307490 is a `hidden beast` number, since 1 + 1 + 4 + 610 + 30 + 7 + 4 + 9 + 0 = 666.

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, 734652 + ... + 876888.

It is an arithmetic number, because the mean of its divisors is an integer number (3550260480).

Almost surely, 2114610307490 is an apocalyptic number.

114610307490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114610307490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170412503040).

114610307490 is an abundant number, since it is smaller than the sum of its proper divisors (226214698590).

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

114610307490 is a wasteful number, since it uses less digits than its factorization.

114610307490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143536 (or 143533 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 114610307490 in words is "one hundred fourteen billion, six hundred ten million, three hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1279 2558 3837 6395 7674 8953 11511 12790 17906 19185 23022 26859 38370 44765 53718 57555 80577 89530 115110 134295 142237 161154 268590 284474 402885 426711 711185 805770 853422 995659 1280133 1422370 1991318 2133555 2560266 2986977 4267110 4978295 5973954 6400665 8960931 9956590 12801330 14934885 17921862 29869770 44804655 89609310 181921123 363842246 545763369 909605615 1091526738 1273447861 1637290107 1819211230 2546895722 2728816845 3274580214 3820343583 5457633690 6367239305 7640687166 8186450535 11461030749 12734478610 16372901070 19101717915 22922061498 38203435830 57305153745 114610307490