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232344311131104 = 25328511289365843
BaseRepresentation
bin110100110101000011100000…
…001000010110101111100000
31010110122220021112022101100120
4310311003200020112233200
5220423212122122143404
62142053300352120240
766640215424601544
oct6465034010265740
91113586245271316
10232344311131104
116803973a480097
1222085a73836080
139c84c8905c4a3
14415374b953a24
151bcdc1e71d9d9
hexd350e0216be0

232344311131104 has 96 divisors (see below), whose sum is σ = 610174331593344. Its totient is φ = 77413757836800.

The previous prime is 232344311131103. The next prime is 232344311131133. The reversal of 232344311131104 is 401131113443232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232344311131103) 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, 3528729607 + ... + 3528795449.

It is an arithmetic number, because the mean of its divisors is an integer number (6355982620764).

Almost surely, 2232344311131104 is an apocalyptic number.

232344311131104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232344311131104 is an abundant number, since it is smaller than the sum of its proper divisors (377830020462240).

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

232344311131104 is a wasteful number, since it uses less digits than its factorization.

232344311131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81600 (or 81592 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 232344311131104 its reverse (401131113443232), we get a palindrome (633475424574336).

The spelling of 232344311131104 in words is "two hundred thirty-two trillion, three hundred forty-four billion, three hundred eleven million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2851 5702 8553 11404 12893 17106 22808 25786 34212 38679 45616 51572 65843 68424 77358 91232 103144 131686 136848 154716 197529 206288 263372 273696 309432 395058 412576 526744 618864 790116 1053488 1237728 1580232 2106976 3160464 6320928 36757943 73515886 110273829 147031772 187718393 220547658 294063544 375436786 441095316 563155179 588127088 750873572 848913799 882190632 1126310358 1176254176 1501747144 1697827598 1764381264 2252620716 2546741397 3003494288 3395655196 3528762528 4505241432 5093482794 6006988576 6791310392 9010482864 10186965588 13582620784 18020965728 20373931176 27165241568 40747862352 81495724704 2420253240949 4840506481898 7260759722847 9681012963796 14521519445694 19362025927592 29043038891388 38724051855184 58086077782776 77448103710368 116172155565552 232344311131104