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232110424400144 = 2429896955774109
BaseRepresentation
bin110100110001101001101011…
…011001010010000100010000
31010102211112120120011101221112
4310301221223121102010100
5220410344122121301034
62141354020143512452
766614265460310543
oct6461515331220420
91112745516141845
10232110424400144
1167a59529516414
122204867b5b8728
139c68bc4364b24
1441462c115a85a
151bc7ad13217ce
hexd31a6b652110

232110424400144 has 40 divisors (see below), whose sum is σ = 465273203031000. Its totient is φ = 112040812921856.

The previous prime is 232110424400131. The next prime is 232110424400167. The reversal of 232110424400144 is 441004424011232.

It can be written as a sum of positive squares in 4 ways, for example, as 726776710144 + 231383647690000 = 852512^2 + 15211300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232110424400144.

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, 23725439 + ... + 32048670.

It is an arithmetic number, because the mean of its divisors is an integer number (11631830075775).

Almost surely, 2232110424400144 is an apocalyptic number.

It is an amenable number.

232110424400144 is an abundant number, since it is smaller than the sum of its proper divisors (233162778630856).

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

232110424400144 is a wasteful number, since it uses less digits than its factorization.

232110424400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55783115 (or 55783109 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 232110424400144 its reverse (441004424011232), we get a palindrome (673114848411376).

The spelling of 232110424400144 in words is "two hundred thirty-two trillion, one hundred ten billion, four hundred twenty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 8969 17938 35876 71752 143504 260101 520202 1040404 2080808 4161616 55774109 111548218 223096436 446192872 892385744 1617449161 3234898322 6469796644 12939593288 25879186576 500237983621 1000475967242 2000951934484 4001903868968 8003807737936 14506901525009 29013803050018 58027606100036 116055212200072 232110424400144