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14317406336 = 27375951239
BaseRepresentation
bin11010101010110001…
…00100100010000000
31100221210201121012202
431111120210202000
5213310224000321
610324411412332
71014540642302
oct152530444200
940853647182
1014317406336
116087891322
122936a540a8
1314722c268c
1499b6db972
1558be2e70b
hex355624880

14317406336 has 64 divisors (see below), whose sum is σ = 29790936000. Its totient is φ = 6847036416.

The previous prime is 14317406333. The next prime is 14317406351. The reversal of 14317406336 is 63360471341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14317406336.

It is not an unprimeable number, because it can be changed into a prime (14317406333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253805 + ... + 305043.

It is an arithmetic number, because the mean of its divisors is an integer number (465483375).

Almost surely, 214317406336 is an apocalyptic number.

14317406336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14317406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895468000).

14317406336 is an abundant number, since it is smaller than the sum of its proper divisors (15473529664).

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

14317406336 is an equidigital number, since it uses as much as digits as its factorization.

14317406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51349 (or 51337 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

Adding to 14317406336 its reverse (63360471341), we get a palindrome (77677877677).

The spelling of 14317406336 in words is "fourteen billion, three hundred seventeen million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 59 64 74 118 128 148 236 296 472 592 944 1184 1888 2183 2368 3776 4366 4736 7552 8732 17464 34928 51239 69856 102478 139712 204956 279424 409912 819824 1639648 1895843 3023101 3279296 3791686 6046202 6558592 7583372 12092404 15166744 24184808 30333488 48369616 60666976 96739232 111854737 121333952 193478464 223709474 242667904 386956928 447418948 894837896 1789675792 3579351584 7158703168 14317406336