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14038939680 = 2535233125527
BaseRepresentation
bin11010001001100100…
…10011100000100000
31100020101202000202220
431010302103200200
5212222432032210
610241023111040
71004620006203
oct150462234040
940211660686
1014038939680
115a54685197
122879742480
1314296c3bcc
1497273193a
15572775c70
hex344c93820

14038939680 has 96 divisors (see below), whose sum is σ = 44412810624. Its totient is φ = 3727620096.

The previous prime is 14038939639. The next prime is 14038939741. The reversal of 14038939680 is 8693983041.

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, 49077 + ... + 174603.

It is an arithmetic number, because the mean of its divisors is an integer number (462633444).

Almost surely, 214038939680 is an apocalyptic number.

14038939680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14038939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206405312).

14038939680 is an abundant number, since it is smaller than the sum of its proper divisors (30373870944).

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

14038939680 is a wasteful number, since it uses less digits than its factorization.

14038939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125778 (or 125770 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 14038939680 in words is "fourteen billion, thirty-eight million, nine hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 37280 55920 111840 125527 251054 376581 502108 627635 753162 1004216 1255270 1506324 1882905 2008432 2510540 3012648 3765810 4016864 5021080 6025296 7531620 10042160 12050592 15063240 20084320 29247791 30126480 58495582 60252960 87743373 116991164 146238955 175486746 233982328 292477910 350973492 438716865 467964656 584955820 701946984 877433730 935929312 1169911640 1403893968 1754867460 2339823280 2807787936 3509734920 4679646560 7019469840 14038939680