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102414001424 = 247914410727
BaseRepresentation
bin101111101100001011…
…0011010010100010000
3100210100102000022122212
41133120112122110100
53134220441021144
6115014235251252
710253625435350
oct1373026322420
9323312008585
10102414001424
113a4850410a9
1217a222a9b28
13987198b357
144d578c6b60
1529e612949e
hex17d859a510

102414001424 has 20 divisors (see below), whose sum is σ = 226773860544. Its totient is φ = 43891714848.

The previous prime is 102414001423. The next prime is 102414001441. The reversal of 102414001424 is 424100414201.

It is a self number, because there is not a number n which added to its sum of digits gives 102414001424.

It is not an unprimeable number, because it can be changed into a prime (102414001421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457205252 + ... + 457205475.

Almost surely, 2102414001424 is an apocalyptic number.

102414001424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102414001424 is an abundant number, since it is smaller than the sum of its proper divisors (124359859120).

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

102414001424 is an equidigital number, since it uses as much as digits as its factorization.

102414001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914410742 (or 914410736 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102414001424 its reverse (424100414201), we get a palindrome (526514415625).

The spelling of 102414001424 in words is "one hundred two billion, four hundred fourteen million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 914410727 1828821454 3657642908 6400875089 7315285816 12801750178 14630571632 25603500356 51207000712 102414001424