Search a number
-
+
14090681472 = 27374172931
BaseRepresentation
bin11010001111101111…
…01011110010000000
31100101000002210011120
431013313223302000
5212324203301342
610250112112240
71006115550000
oct150767536200
940330083146
1014090681472
115a809055aa
122892b35680
13143733c05a
14979560000
15577096aec
hex347debc80

14090681472 has 640 divisors, whose sum is σ = 49369305600. Its totient is φ = 3540418560.

The previous prime is 14090681461. The next prime is 14090681497. The reversal of 14090681472 is 27418609041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 454538097 + ... + 454538127.

It is an arithmetic number, because the mean of its divisors is an integer number (77139540).

Almost surely, 214090681472 is an apocalyptic number.

14090681472 is a gapful number since it is divisible by the number (12) 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 14090681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684652800).

14090681472 is an abundant number, since it is smaller than the sum of its proper divisors (35278624128).

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

14090681472 is an equidigital number, since it uses as much as digits as its factorization.

14090681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14090681472 in words is "fourteen billion, ninety million, six hundred eighty-one thousand, four hundred seventy-two".