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104014131232 = 2511378396221
BaseRepresentation
bin110000011011110111…
…0011011000000100000
3100221110220221100002211
41200313232123000200
53201010104144412
6115441115451504
710341365346004
oct1406756330040
9327426840084
10104014131232
11401262a1330
12181aa156b94
139a6833b21b
14506a212704
152a8b851ca7
hex1837b9b020

104014131232 has 96 divisors (see below), whose sum is σ = 232198311744. Its totient is φ = 45446630400.

The previous prime is 104014131161. The next prime is 104014131233. The reversal of 104014131232 is 232131410401.

104014131232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (104014131233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032882 + ... + 1129102.

It is an arithmetic number, because the mean of its divisors is an integer number (2418732414).

Almost surely, 2104014131232 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 104014131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116099155872).

104014131232 is an abundant number, since it is smaller than the sum of its proper divisors (128184180512).

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

104014131232 is a wasteful number, since it uses less digits than its factorization.

104014131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96362 (or 96354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 104014131232 its reverse (232131410401), we get a palindrome (336145541633).

The spelling of 104014131232 in words is "one hundred four billion, fourteen million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 83 88 148 166 176 296 332 352 407 592 664 814 913 1184 1328 1628 1826 2656 3071 3256 3652 6142 6512 7304 12284 13024 14608 24568 29216 33781 49136 67562 96221 98272 135124 192442 270248 384884 540496 769768 1058431 1080992 1539536 2116862 3079072 3560177 4233724 7120354 7986343 8467448 14240708 15972686 16934896 28481416 31945372 33869792 39161947 56962832 63890744 78323894 87849773 113925664 127781488 156647788 175699546 255562976 295494691 313295576 351399092 590989382 626591152 702798184 1181978764 1253182304 1405596368 2363957528 2811192736 3250441601 4727915056 6500883202 9455830112 13001766404 26003532808 52007065616 104014131232