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114476938432 = 2612719517219
BaseRepresentation
bin110101010011101011…
…0110111010011000000
3101221111002120000100121
41222213112313103000
53333422044012212
6124331234030024
711161562631043
oct1524726672300
9357432500317
10114476938432
114460527a22a
121a22a118314
13aa44b8a8bc
14577da08c5a
152ea017cd07
hex1aa75b74c0

114476938432 has 56 divisors (see below), whose sum is σ = 229102960640. Its totient is φ = 56750803200.

The previous prime is 114476938397. The next prime is 114476938493. The reversal of 114476938432 is 234839674411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114476938432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15854119 + ... + 15861337.

Almost surely, 2114476938432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114476938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114551480320).

114476938432 is an abundant number, since it is smaller than the sum of its proper divisors (114626022208).

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

114476938432 is a wasteful number, since it uses less digits than its factorization.

114476938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9299 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 114476938432 in words is "one hundred fourteen billion, four hundred seventy-six million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1951 2032 3902 4064 7219 7804 8128 14438 15608 28876 31216 57752 62432 115504 124864 231008 247777 462016 495554 916813 991108 1833626 1982216 3667252 3964432 7334504 7928864 14084269 14669008 15857728 28168538 29338016 56337076 58676032 112674152 225348304 450696608 901393216 1788702163 3577404326 7154808652 14309617304 28619234608 57238469216 114476938432