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14418479904 = 2532333491847
BaseRepresentation
bin11010110110110100…
…01000101100100000
31101012211220200002020
431123122020230200
5214012112324104
610342422021440
71020206025363
oct153332105440
941184820066
1014418479904
1161299463a4
122964877880
13148a220a1a
149aaccc0da
15595c472d9
hex35b688b20

14418479904 has 96 divisors (see below), whose sum is σ = 38140502400. Its totient is φ = 4769236992.

The previous prime is 14418479899. The next prime is 14418479917. The reversal of 14418479904 is 40997481441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7805509 + ... + 7807355.

It is an arithmetic number, because the mean of its divisors is an integer number (397296900).

Almost surely, 214418479904 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 14418479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070251200).

14418479904 is an abundant number, since it is smaller than the sum of its proper divisors (23722022496).

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

14418479904 is a wasteful number, since it uses less digits than its factorization.

14418479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 14418479904 in words is "fourteen billion, four hundred eighteen million, four hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 349 466 698 699 932 1047 1396 1398 1847 1864 2094 2792 2796 3694 3728 4188 5541 5584 5592 7388 7456 8376 11082 11168 11184 14776 16752 22164 22368 29552 33504 44328 59104 81317 88656 162634 177312 243951 325268 430351 487902 644603 650536 860702 975804 1289206 1291053 1301072 1721404 1933809 1951608 2578412 2582106 2602144 3442808 3867618 3903216 5156824 5164212 6885616 7735236 7806432 10313648 10328424 13771232 15470472 20627296 20656848 30940944 41313696 61881888 150192499 300384998 450577497 600769996 901154994 1201539992 1802309988 2403079984 3604619976 4806159968 7209239952 14418479904