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14242923264 = 28337501229
BaseRepresentation
bin11010100001111000…
…11100001100000000
31100202121120110122110
431100330130030000
5213132142021024
610313151135320
71012644564423
oct152074341400
940677513573
1014242923264
116049839069
122915b14540
13145ca4445b
1499186d9ba
1558561a629
hex350f1c300

14242923264 has 72 divisors (see below), whose sum is σ = 38931536560. Its totient is φ = 4619317248.

The previous prime is 14242923229. The next prime is 14242923271. The reversal of 14242923264 is 46232924241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222199 + ... + 279030.

Almost surely, 214242923264 is an apocalyptic number.

It is an amenable number.

14242923264 is an abundant number, since it is smaller than the sum of its proper divisors (24688613296).

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

14242923264 is an equidigital number, since it uses as much as digits as its factorization.

14242923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501285 (or 501271 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 14242923264 in words is "fourteen billion, two hundred forty-two million, nine hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 28416 501229 1002458 1503687 2004916 3007374 4009832 6014748 8019664 12029496 16039328 18545473 24058992 32078656 37090946 48117984 55636419 64157312 74181892 96235968 111272838 128314624 148363784 192471936 222545676 296727568 384943872 445091352 593455136 890182704 1186910272 1780365408 2373820544 3560730816 4747641088 7121461632 14242923264