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102432244101444 = 22338091172369227
BaseRepresentation
bin10111010010100101011101…
…100001011111000101000100
3111102200102112012200211002000
4113102211131201133011010
5101411222213442221234
61001504420122545300
730401325332656065
oct2722453541370504
9442612465624060
10102432244101444
112a7022a8434a84
12b5a407b368230
13452041c2b36ca
141b41a65d4a56c
15bc976eced899
hex5d295d85f144

102432244101444 has 48 divisors (see below), whose sum is σ = 265893340910400. Its totient is φ = 34101876045888.

The previous prime is 102432244101443. The next prime is 102432244101487. The reversal of 102432244101444 is 444101442234201.

102432244101444 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 224 + 410 + 14 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102432244101399 and 102432244101408.

It is not an unprimeable number, because it can be changed into a prime (102432244101443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586097242 + ... + 586271985.

It is an arithmetic number, because the mean of its divisors is an integer number (5539444602300).

Almost surely, 2102432244101444 is an apocalyptic number.

It is an amenable number.

102432244101444 is an abundant number, since it is smaller than the sum of its proper divisors (163461096808956).

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

102432244101444 is a wasteful number, since it uses less digits than its factorization.

102432244101444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172370049 (or 1172370041 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 102432244101444 its reverse (444101442234201), we get a palindrome (546533686335645).

The spelling of 102432244101444 in words is "one hundred two trillion, four hundred thirty-two billion, two hundred forty-four million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 809 1618 2427 3236 4854 7281 9708 14562 21843 29124 43686 87372 1172369227 2344738454 3517107681 4689476908 7034215362 10551323043 14068430724 21102646086 31653969129 42205292172 63307938258 126615876516 948446704643 1896893409286 2845340113929 3793786818572 5690680227858 8536020341787 11381360455716 17072040683574 25608061025361 34144081367148 51216122050722 102432244101444