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232132434403104 = 25327611059152953
BaseRepresentation
bin110100110001111110001011…
…010010110001111100100000
31010102220122101110212101220100
4310301332023102301330200
5220411224211201344404
62141412100154342400
766616005060250434
oct6461761322617440
91112818343771810
10232132434403104
1167a678a35a4404
12220509a272aa00
139c6acc12a9b11
1441473ac3829c4
151bc846d778d39
hexd31f8b4b1f20

232132434403104 has 72 divisors (see below), whose sum is σ = 660994057226412. Its totient is φ = 77275799377920.

The previous prime is 232132434403073. The next prime is 232132434403109. The reversal of 232132434403104 is 401304434231232.

232132434403104 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 243 + 4 + 403 + 1 + 0 + 4 = 666.

232132434403104 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 2 ways, for example, as 134378637152400 + 97753797250704 = 11592180^2 + 9887052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2321324344031042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (232132434403109) 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, 529357309 + ... + 529795644.

Almost surely, 2232132434403104 is an apocalyptic number.

232132434403104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232132434403104 is an abundant number, since it is smaller than the sum of its proper divisors (428861622823308).

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

232132434403104 is a wasteful number, since it uses less digits than its factorization.

232132434403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059153730 (or 1059153719 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 232132434403104 its reverse (401304434231232), we get a palindrome (633436868634336).

The spelling of 232132434403104 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, four hundred thirty-four million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 761 1522 2283 3044 4566 6088 6849 9132 12176 13698 18264 24352 27396 36528 54792 73056 109584 219168 1059152953 2118305906 3177458859 4236611812 6354917718 8473223624 9532376577 12709835436 16946447248 19064753154 25419670872 33892894496 38129506308 50839341744 76259012616 101678683488 152518025232 305036050464 806015397233 1612030794466 2418046191699 3224061588932 4836092383398 6448123177864 7254138575097 9672184766796 12896246355728 14508277150194 19344369533592 25792492711456 29016554300388 38688739067184 58033108600776 77377478134368 116066217201552 232132434403104