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13981943808000 = 214325372113137
BaseRepresentation
bin1100101101110110110011…
…0010110100000000000000
31211111122211201000100210200
43023131230302310000000
53313040010103324000
645423114420125200
72642106413301300
oct313355462640000
954448751010720
1013981943808000
114500788853363
121699964836800
137a56511aaa7c
14364a303b5600
15193a80b45500
hexcb76ccb4000

13981943808000 has 2160 divisors, whose sum is σ = 59588633364624. Its totient is φ = 3144469708800.

The previous prime is 13981943807977. The next prime is 13981943808013. The reversal of 13981943808000 is 80834918931.

13981943808000 is a `hidden beast` number, since 13 + 98 + 1 + 94 + 380 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8412041723904 + 5569902084096 = 2900352^2 + 2360064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102057983932 + ... + 102057984068.

Almost surely, 213981943808000 is an apocalyptic number.

13981943808000 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 13981943808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794316682312).

13981943808000 is an abundant number, since it is smaller than the sum of its proper divisors (45606689556624).

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

13981943808000 is a wasteful number, since it uses less digits than its factorization.

13981943808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 13981943808000 in words is "thirteen trillion, nine hundred eighty-one billion, nine hundred forty-three million, eight hundred eight thousand".