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102442440024 = 23321422811667
BaseRepresentation
bin101111101101000001…
…0111001010101011000
3100210102101112011002100
41133122002321111120
53134300231040044
6115021133003400
710254422241621
oct1373202712530
9323371464070
10102442440024
113a49a0a5481
1217a2b923560
139877837722
144d5b5aaa48
1529e8895869
hex17da0b9558

102442440024 has 24 divisors (see below), whose sum is σ = 277448275260. Its totient is φ = 34147479984.

The previous prime is 102442439989. The next prime is 102442440041. The reversal of 102442440024 is 420044244201.

102442440024 is a `hidden beast` number, since 10 + 244 + 2 + 4 + 400 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102442440024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 711405762 + ... + 711405905.

Almost surely, 2102442440024 is an apocalyptic number.

It is an amenable number.

102442440024 is an abundant number, since it is smaller than the sum of its proper divisors (175005835236).

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

102442440024 is a wasteful number, since it uses less digits than its factorization.

102442440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422811679 (or 1422811672 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 102442440024 its reverse (420044244201), we get a palindrome (522486684225).

The spelling of 102442440024 in words is "one hundred two billion, four hundred forty-two million, four hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1422811667 2845623334 4268435001 5691246668 8536870002 11382493336 12805305003 17073740004 25610610006 34147480008 51221220012 102442440024