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14105978376 = 2337487172411
BaseRepresentation
bin11010010001100100…
…00010011000001000
31100102001212221120120
431020302002120020
5212342112302001
610251420023240
71006362560250
oct151062023010
940361787516
1014105978376
115a89503376
122898091b20
13143a566889
1497b5c2960
155785b9236
hex348c82608

14105978376 has 64 divisors (see below), whose sum is σ = 40385786880. Its totient is φ = 4021980480.

The previous prime is 14105978357. The next prime is 14105978389. The reversal of 14105978376 is 67387950141.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390 + ... + 168021.

It is an arithmetic number, because the mean of its divisors is an integer number (631027920).

Almost surely, 214105978376 is an apocalyptic number.

It is an amenable number.

14105978376 is an abundant number, since it is smaller than the sum of its proper divisors (26279808504).

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

14105978376 is a wasteful number, since it uses less digits than its factorization.

14105978376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172914 (or 172910 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 14105978376 in words is "fourteen billion, one hundred five million, nine hundred seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 487 974 1461 1948 2922 3409 3896 5844 6818 10227 11688 13636 20454 27272 40908 81816 172411 344822 517233 689644 1034466 1206877 1379288 2068932 2413754 3620631 4137864 4827508 7241262 9655016 14482524 28965048 83964157 167928314 251892471 335856628 503784942 587749099 671713256 1007569884 1175498198 1763247297 2015139768 2350996396 3526494594 4701992792 7052989188 14105978376