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102414436640 = 255640090229
BaseRepresentation
bin101111101100001100…
…0000100100100100000
3100210100102211102122222
41133120120010210200
53134221043433030
6115014252450212
710253632230245
oct1373030044440
9323312742588
10102414436640
113a48530908a
1217a22479968
139871ab1489
144d5799b5cc
1529e61b33e5
hex17d8604920

102414436640 has 24 divisors (see below), whose sum is σ = 241954106940. Its totient is φ = 40965774592.

The previous prime is 102414436637. The next prime is 102414436643. The reversal of 102414436640 is 46634414201.

It is an interprime number because it is at equal distance from previous prime (102414436637) and next prime (102414436643).

It can be written as a sum of positive squares in 2 ways, for example, as 99813028624 + 2601408016 = 315932^2 + 51004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102414436640.

It is not an unprimeable number, because it can be changed into a prime (102414436643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320044955 + ... + 320045274.

Almost surely, 2102414436640 is an apocalyptic number.

102414436640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414436640 is an abundant number, since it is smaller than the sum of its proper divisors (139539670300).

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

102414436640 is an equidigital number, since it uses as much as digits as its factorization.

102414436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640090244 (or 640090236 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 102414436640 in words is "one hundred two billion, four hundred fourteen million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 640090229 1280180458 2560360916 3200451145 5120721832 6400902290 10241443664 12801804580 20482887328 25603609160 51207218320 102414436640