Search a number
-
+
14904141120 = 26325112192251
BaseRepresentation
bin11011110000101101…
…10010010101000000
31102110200202211000200
431320112302111000
5221010430003440
610502531245200
71035224052321
oct157026622500
942420684020
1014904141120
116358aa9900
122a7b449800
131536a2541b
14a155d0448
155c36cbc30
hex3785b2540

14904141120 has 504 divisors, whose sum is σ = 59340109920. Its totient is φ = 3421440000.

The previous prime is 14904141113. The next prime is 14904141149. The reversal of 14904141120 is 2114140941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6619995 + ... + 6622245.

Almost surely, 214904141120 is an apocalyptic number.

14904141120 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 14904141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29670054960).

14904141120 is an abundant number, since it is smaller than the sum of its proper divisors (44435968800).

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

14904141120 is a wasteful number, since it uses less digits than its factorization.

14904141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14904141120 in words is "fourteen billion, nine hundred four million, one hundred forty-one thousand, one hundred twenty".