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14090112000 = 2103653151
BaseRepresentation
bin11010001111101011…
…00000110000000000
31100100222000212000000
431013311200300000
5212324032041000
610250052000000
71006110655506
oct150765406000
940328025000
1014090112000
115a80556768
122892900000
13143719caa3
14979452676
15576ed3000
hex347d60c00

14090112000 has 616 divisors, whose sum is σ = 53052541152. Its totient is φ = 3732480000.

The previous prime is 14090111939. The next prime is 14090112011. The reversal of 14090112000 is 21109041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311925 + ... + 93312075.

Almost surely, 214090112000 is an apocalyptic number.

14090112000 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 14090112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526270576).

14090112000 is an abundant number, since it is smaller than the sum of its proper divisors (38962429152).

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

14090112000 is an frugal number, since it uses more digits than its factorization.

14090112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 14090112000 in words is "fourteen billion, ninety million, one hundred twelve thousand".