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114013000320 = 27353112715083
BaseRepresentation
bin110101000101110110…
…1000101001010000000
3101220021202120111220120
41222023231011022000
53331444312002240
6124213222140240
711144230340562
oct1521355051200
9356252514816
10114013000320
11443974036aa
121a11a881680
13a99ca209cb
14573815d332
152e74589ad0
hex1a8bb45280

114013000320 has 256 divisors, whose sum is σ = 378118471680. Its totient is φ = 29189099520.

The previous prime is 114013000307. The next prime is 114013000363. The reversal of 114013000320 is 23000310411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114013000320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7551499 + ... + 7566581.

It is an arithmetic number, because the mean of its divisors is an integer number (1477025280).

Almost surely, 2114013000320 is an apocalyptic number.

114013000320 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 114013000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189059235840).

114013000320 is an abundant number, since it is smaller than the sum of its proper divisors (264105471360).

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

114013000320 is a wasteful number, since it uses less digits than its factorization.

114013000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15263 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 114013000320 its reverse (23000310411), we get a palindrome (137013310731).

The spelling of 114013000320 in words is "one hundred fourteen billion, thirteen million, three hundred twenty", and thus it is an aban number.