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14197807104 = 2113131491193
BaseRepresentation
bin11010011100100000…
…10101100000000000
31100122110200022220120
431032100111200000
5213034114311404
610304500140240
71011556240425
oct151620254000
940573608816
1014197807104
116026323688
122902997680
1314535a8cc0
14989887d4c
155816a79d9
hex34e415800

14197807104 has 192 divisors, whose sum is σ = 41071212000. Its totient is φ = 4335599616.

The previous prime is 14197807097. The next prime is 14197807181. The reversal of 14197807104 is 40170879141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 11900332 + ... + 11901524.

Almost surely, 214197807104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14197807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20535606000).

14197807104 is an abundant number, since it is smaller than the sum of its proper divisors (26873404896).

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

14197807104 is a wasteful number, since it uses less digits than its factorization.

14197807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 14197807104 in words is "fourteen billion, one hundred ninety-seven million, eight hundred seven thousand, one hundred four".