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114233132232 = 233211291405289
BaseRepresentation
bin110101001100011010…
…0110100010011001000
3101220212002210101010100
41222120310310103020
53332422140212412
6124251124245400
711152542413562
oct1523064642310
9356762711110
10114233132232
114449a696aaa
121a180540860
13aa0650648b
1457594a2332
152e88a6dedc
hex1a98d344c8

114233132232 has 48 divisors (see below), whose sum is σ = 309655651500. Its totient is φ = 38043956736.

The previous prime is 114233132231. The next prime is 114233132287. The reversal of 114233132232 is 232231332411.

114233132232 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 331 + 322 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92643531876 + 21589600356 = 304374^2 + 146934^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114233132196 and 114233132205.

It is not an unprimeable number, because it can be changed into a prime (114233132231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621357 + ... + 783932.

Almost surely, 2114233132232 is an apocalyptic number.

114233132232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114233132232 is an abundant number, since it is smaller than the sum of its proper divisors (195422519268).

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

114233132232 is a wasteful number, since it uses less digits than its factorization.

114233132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406430 (or 1406423 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 114233132232 its reverse (232231332411), we get a palindrome (346464464643).

The spelling of 114233132232 in words is "one hundred fourteen billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1129 2258 3387 4516 6774 9032 10161 13548 20322 27096 40644 81288 1405289 2810578 4215867 5621156 8431734 11242312 12647601 16863468 25295202 33726936 50590404 101180808 1586571281 3173142562 4759713843 6346285124 9519427686 12692570248 14279141529 19038855372 28558283058 38077710744 57116566116 114233132232