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14680744440 = 2335196438923
BaseRepresentation
bin11011010110000101…
…00110000111111000
31101220010102002101120
431223002212013320
5220031232310230
610424431145240
71026542161125
oct155302460770
941803362346
1014680744440
11625399664a
122a18675220
1314cc66893b
149d3a7b74c
155adca0310
hex36b0a61f8

14680744440 has 64 divisors (see below), whose sum is σ = 46360252800. Its totient is φ = 3708819072.

The previous prime is 14680744399. The next prime is 14680744447. The reversal of 14680744440 is 4444708641.

It is a happy number.

14680744440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14680744392 and 14680744401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14680744447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3217182 + ... + 3221741.

It is an arithmetic number, because the mean of its divisors is an integer number (724378950).

Almost surely, 214680744440 is an apocalyptic number.

14680744440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14680744440 is an abundant number, since it is smaller than the sum of its proper divisors (31679508360).

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

14680744440 is a wasteful number, since it uses less digits than its factorization.

14680744440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438956 (or 6438952 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 14680744440 in words is "fourteen billion, six hundred eighty million, seven hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6438923 12877846 19316769 25755692 32194615 38633538 51511384 64389230 77267076 96583845 122339537 128778460 154534152 193167690 244679074 257556920 367018611 386335380 489358148 611697685 734037222 772670760 978716296 1223395370 1468074444 1835093055 2446790740 2936148888 3670186110 4893581480 7340372220 14680744440