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14699142311424 = 29329719458959
BaseRepresentation
bin1101010111100110100100…
…1001111110111000000000
31221001020001111112020221220
43111321221021332320000
53411312320412431144
651132405345115040
73044656310061234
oct325715111767000
957036044466856
1014699142311424
1147579646a114a
121794961028a80
1382817a7c014c
1438b6298ac5c4
151a7559a35919
hexd5e6927ee00

14699142311424 has 160 divisors (see below), whose sum is σ = 40566189312000. Its totient is φ = 4724168515584.

The previous prime is 14699142311419. The next prime is 14699142311431. The reversal of 14699142311424 is 42411324199641.

14699142311424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 31797657 + ... + 32256615.

It is an arithmetic number, because the mean of its divisors is an integer number (253538683200).

Almost surely, 214699142311424 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 14699142311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283094656000).

14699142311424 is an abundant number, since it is smaller than the sum of its proper divisors (25867047000576).

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

14699142311424 is an equidigital number, since it uses as much as digits as its factorization.

14699142311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459728 (or 459712 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 14699142311424 in words is "fourteen trillion, six hundred ninety-nine billion, one hundred forty-two million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 719 768 928 1392 1438 1536 1856 2157 2784 2876 3712 4314 5568 5752 7424 8628 11136 11504 14848 17256 20851 22272 23008 34512 41702 44544 46016 62553 69024 83404 92032 125106 138048 166808 184064 250212 276096 333616 368128 458959 500424 552192 667232 917918 1000848 1104384 1334464 1376877 1835836 2001696 2668928 2753754 3671672 4003392 5337856 5507508 7343344 8006784 10675712 11015016 13309811 14686688 16013568 22030032 26619622 29373376 32027136 39929433 44060064 53239244 58746752 79858866 88120128 106478488 117493504 159717732 176240256 212956976 234987008 319435464 329991521 352480512 425913952 638870928 659983042 704961024 851827904 989974563 1277741856 1319966084 1703655808 1979949126 2555483712 2639932168 3407311616 3959898252 5110967424 5279864336 6814623232 7919796504 9569754109 10221934848 10559728672 15839593008 19139508218 20443869696 21119457344 28709262327 31679186016 38279016436 42238914688 57418524654 63358372032 76558032872 84477829376 114837049308 126716744064 153116065744 168955658752 229674098616 253433488128 306232131488 459348197232 506866976256 612464262976 918696394464 1224928525952 1837392788928 2449857051904 3674785577856 4899714103808 7349571155712 14699142311424