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232444414234432 = 26113215314928517
BaseRepresentation
bin110100110110100000101110…
…101111011000111101000000
31010111000110122212221220210001
4310312200232233120331000
5220431332130021000212
62142211253441045344
766650361163126051
oct6466405657307500
91114013585856701
10232444414234432
1168078139027254
12220a1350026854
139c9155002b0ca
144158526572728
151bd162ca22657
hexd3682ebd8f40

232444414234432 has 56 divisors (see below), whose sum is σ = 465554970083016. Its totient is φ = 115140180492288.

The previous prime is 232444414234421. The next prime is 232444414234451. The reversal of 232444414234432 is 234432414444232.

232444414234432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46081071196416 + 186363343038016 = 6788304^2 + 13651496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8106238 + ... + 23034754.

Almost surely, 2232444414234432 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 232444414234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232777485041508).

232444414234432 is an abundant number, since it is smaller than the sum of its proper divisors (233110555848584).

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

232444414234432 is a wasteful number, since it uses less digits than its factorization.

232444414234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14930795 (or 14930785 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 46.

Adding to 232444414234432 its reverse (234432414444232), we get a palindrome (466876828678664).

The spelling of 232444414234432 in words is "two hundred thirty-two trillion, four hundred forty-four billion, four hundred fourteen million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 2153 3616 4306 7232 8612 17224 34448 68896 137792 243289 486578 973156 1946312 3892624 7785248 14928517 15570496 29857034 59714068 119428136 238856272 477712544 955425088 1686922421 3373844842 6747689684 13495379368 26990758736 32141097101 53981517472 64282194202 107963034944 128564388404 257128776808 514257553616 1028515107232 2057030214464 3631943972413 7263887944826 14527775889652 29055551779304 58111103558608 116222207117216 232444414234432