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232041433312 = 251319722312697
BaseRepresentation
bin1101100000011010111…
…1110100100011100000
3211011221100220010220201
43120012233310203200
512300210101331222
6254333125114544
722523126432323
oct3300657644340
9734840803821
10232041433312
118a4543812a7
1238b7a258a54
1318b5c607680
14b3336cc7ba
1560813e7427
hex3606bf48e0

232041433312 has 96 divisors (see below), whose sum is σ = 496726255872. Its totient is φ = 106066243584.

The previous prime is 232041433279. The next prime is 232041433357. The reversal of 232041433312 is 213334140232.

It is a happy number.

232041433312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18268948 + ... + 18281644.

It is an arithmetic number, because the mean of its divisors is an integer number (5174231832).

Almost surely, 2232041433312 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 232041433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248363127936).

232041433312 is an abundant number, since it is smaller than the sum of its proper divisors (264684822560).

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

232041433312 is a wasteful number, since it uses less digits than its factorization.

232041433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 232041433312 its reverse (213334140232), we get a palindrome (445375573544).

The spelling of 232041433312 in words is "two hundred thirty-two billion, forty-one million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 223 394 416 446 788 892 1576 1784 2561 2899 3152 3568 5122 5798 6304 7136 10244 11596 12697 20488 23192 25394 40976 43931 46384 50788 81952 87862 92768 101576 165061 175724 203152 330122 351448 406304 571103 660244 702896 1142206 1320488 1405792 2284412 2501309 2640976 2831431 4568824 5002618 5281952 5662862 9137648 10005236 11325724 18275296 20010472 22651448 32517017 36808603 40020944 45302896 65034034 73617206 80041888 90605792 130068068 147234412 260136136 294468824 520272272 557791907 588937648 1040544544 1115583814 1177875296 2231167628 4462335256 7251294791 8924670512 14502589582 17849341024 29005179164 58010358328 116020716656 232041433312