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114311434032 = 24369800363
BaseRepresentation
bin110101001110101111…
…1100000111100110000
3101221001120010112000000
41222131133200330300
53333102211342112
6124303002430000
711154513104655
oct1523537407460
9357046115000
10114311434032
114452a908334
121a1a2802300
13aa197c08c3
145765a45c2c
152e908897dc
hex1a9d7e0f30

114311434032 has 70 divisors (see below), whose sum is σ = 332065733412. Its totient is φ = 38103807456.

The previous prime is 114311434007. The next prime is 114311434063. The reversal of 114311434032 is 230434113411.

114311434032 is a `hidden beast` number, since 1 + 1 + 4 + 311 + 4 + 340 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114311433987 and 114311434005.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4888518 + ... + 4911845.

Almost surely, 2114311434032 is an apocalyptic number.

114311434032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114311434032 is an abundant number, since it is smaller than the sum of its proper divisors (217754299380).

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

114311434032 is an frugal number, since it uses more digits than its factorization.

114311434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800389 (or 9800368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114311434032 its reverse (230434113411), we get a palindrome (344745547443).

The spelling of 114311434032 in words is "one hundred fourteen billion, three hundred eleven million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 9800363 19600726 29401089 39201452 58802178 78402904 88203267 117604356 156805808 176406534 235208712 264609801 352813068 470417424 529219602 705626136 793829403 1058439204 1411252272 1587658806 2116878408 2381488209 3175317612 4233756816 4762976418 6350635224 7144464627 9525952836 12701270448 14288929254 19051905672 28577858508 38103811344 57155717016 114311434032