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13941093711888 = 243572272256559
BaseRepresentation
bin1100101011011110100111…
…1100000100000000010000
31211100202101210100110200000
43022313221330010000100
53311402324442240023
645352241112530000
72636132204226210
oct312675174040020
954322353313600
1013941093711888
114495425a58552
121691a640b0900
137a1840c85575
14362a76d5c240
1519298e6dd243
hexcade9f04010

13941093711888 has 240 divisors, whose sum is σ = 46444554024960. Its totient is φ = 3965620871808.

The previous prime is 13941093711659. The next prime is 13941093711931. The reversal of 13941093711888 is 88811739014931.

13941093711888 is a `hidden beast` number, since 1 + 3 + 9 + 410 + 9 + 37 + 1 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5049753 + ... + 7306311.

It is an arithmetic number, because the mean of its divisors is an integer number (193518975104).

Almost surely, 213941093711888 is an apocalyptic number.

13941093711888 is a gapful number since it is divisible by the number (18) 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 13941093711888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222277012480).

13941093711888 is an abundant number, since it is smaller than the sum of its proper divisors (32503460313072).

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

13941093711888 is a wasteful number, since it uses less digits than its factorization.

13941093711888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256816 (or 2256798 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 13941093711888 in words is "thirteen trillion, nine hundred forty-one billion, ninety-three million, seven hundred eleven thousand, eight hundred eighty-eight".