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14407137478104 = 2337569150714887
BaseRepresentation
bin1101000110100110110001…
…0011111100010111011000
31220000022100011220210001020
43101221230103330113120
53342021304143244404
650350314140122440
73014611203665460
oct321515423742730
956008304823036
1014407137478104
11465503a570a18
121748249236420
138067832016c7
1437b448536ba0
1519eb69219ed9
hexd1a6c4fc5d8

14407137478104 has 64 divisors (see below), whose sum is σ = 41235593356800. Its totient is φ = 4109090651904.

The previous prime is 14407137478087. The next prime is 14407137478121. The reversal of 14407137478104 is 40187473170441.

It is an interprime number because it is at equal distance from previous prime (14407137478087) and next prime (14407137478121).

It is a super-2 number, since 2×144071374781042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75261852 + ... + 75453035.

It is an arithmetic number, because the mean of its divisors is an integer number (644306146200).

Almost surely, 214407137478104 is an apocalyptic number.

14407137478104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14407137478104 is an abundant number, since it is smaller than the sum of its proper divisors (26828455878696).

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

14407137478104 is a wasteful number, since it uses less digits than its factorization.

14407137478104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150715472 (or 150715468 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 14407137478104 in words is "fourteen trillion, four hundred seven billion, one hundred thirty-seven million, four hundred seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 569 1138 1707 2276 3414 3983 4552 6828 7966 11949 13656 15932 23898 31864 47796 95592 150714887 301429774 452144661 602859548 904289322 1055004209 1205719096 1808578644 2110008418 3165012627 3617157288 4220016836 6330025254 8440033672 12660050508 25320101016 85756770703 171513541406 257270312109 343027082812 514540624218 600297394921 686054165624 1029081248436 1200594789842 1800892184763 2058162496872 2401189579684 3601784369526 4802379159368 7203568739052 14407137478104