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14413023410368 = 2611145333134253
BaseRepresentation
bin1101000110111100101100…
…1000111111100011000000
31220000212112101100010012111
43101233023020333203000
53342120332443112433
650353130200105104
73015210104411032
oct321571310774300
956025471303174
1014413023410368
11465758aa71a50
121749410465194
138071b076c76b
1437b846131c52
1519edb0d1edcd
hexd1bcb23f8c0

14413023410368 has 112 divisors (see below), whose sum is σ = 31239161129376. Its totient is φ = 6543350415360.

The previous prime is 14413023410363. The next prime is 14413023410371. The reversal of 14413023410368 is 86301432031441.

14413023410368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14413023410368.

It is not an unprimeable number, because it can be changed into a prime (14413023410363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388905330 + ... + 3388909582.

Almost surely, 214413023410368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14413023410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619580564688).

14413023410368 is an abundant number, since it is smaller than the sum of its proper divisors (16826137719008).

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

14413023410368 is a wasteful number, since it uses less digits than its factorization.

14413023410368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 14413023410368 in words is "fourteen trillion, four hundred thirteen billion, twenty-three million, four hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1453 2906 3313 4253 5812 6626 8506 11624 13252 15983 17012 23248 26504 31966 34024 36443 46496 46783 53008 63932 68048 72886 92992 93566 106016 127864 136096 145772 187132 212032 255728 272192 291544 374264 511456 583088 748528 1022912 1166176 1497056 2332352 2994112 4813789 6179609 9627578 12359218 14090189 19255156 24718436 28180378 38510312 49436872 52951679 56360756 67975699 77020624 98873744 105903358 112721512 135951398 154041248 154992079 197747488 211806716 225443024 271902796 308082496 309984158 395494976 423613432 450886048 543805592 619968316 847226864 901772096 1087611184 1239936632 1694453728 2175222368 2479873264 3388907456 4350444736 4959746528 9919493056 20473044617 40946089234 81892178468 163784356936 225203490787 327568713872 450406981574 655137427744 900813963148 1310274855488 1801627926296 3603255852592 7206511705184 14413023410368