Search a number
-
+
14080265100 = 223352113141373
BaseRepresentation
bin11010001110011111…
…11100101110001100
31100100021111120121000
431013033330232030
5212314021440400
610245100540300
71005631164366
oct150717745614
940307446530
1014080265100
115a75a40630
12288b551690
131435132b15
1497800bd36
155761da600
hex3473fcb8c

14080265100 has 576 divisors, whose sum is σ = 52356648960. Its totient is φ = 3214080000.

The previous prime is 14080265093. The next prime is 14080265149. The reversal of 14080265100 is 156208041.

14080265100 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 0 + 2 + 651 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37748514 + ... + 37748886.

It is an arithmetic number, because the mean of its divisors is an integer number (90896960).

Almost surely, 214080265100 is an apocalyptic number.

14080265100 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 14080265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178324480).

14080265100 is an abundant number, since it is smaller than the sum of its proper divisors (38276383860).

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

14080265100 is a wasteful number, since it uses less digits than its factorization.

14080265100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14080265100 in words is "fourteen billion, eighty million, two hundred sixty-five thousand, one hundred".