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114320313072 = 24327113413009
BaseRepresentation
bin110101001111000000…
…1011000101011110000
3101221002011211121202100
41222132001120223300
53333112000004242
6124303521020400
711154651425250
oct1523601305360
9357064747670
10114320313072
1144534922289
121a1a5784700
13aa1b5ac184
145766cb7960
152e9154054c
hex1a9e058af0

114320313072 has 60 divisors (see below), whose sum is σ = 365643544240. Its totient is φ = 32662946304.

The previous prime is 114320313071. The next prime is 114320313101. The reversal of 114320313072 is 270313023411.

It is a happy number.

114320313072 is a `hidden beast` number, since 1 + 1 + 4 + 320 + 31 + 307 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114320313071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56705497 + ... + 56707512.

Almost surely, 2114320313072 is an apocalyptic number.

114320313072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114320313072 is an abundant number, since it is smaller than the sum of its proper divisors (251323231168).

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

114320313072 is a wasteful number, since it uses less digits than its factorization.

114320313072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113413030 (or 113413021 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 114320313072 its reverse (270313023411), we get a palindrome (384633336483).

The spelling of 114320313072 in words is "one hundred fourteen billion, three hundred twenty million, three hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 113413009 226826018 340239027 453652036 680478054 793891063 907304072 1020717081 1360956108 1587782126 1814608144 2041434162 2381673189 2721912216 3175564252 4082868324 4763346378 5443824432 6351128504 7145019567 8165736648 9526692756 12702257008 14290039134 16331473296 19053385512 28580078268 38106771024 57160156536 114320313072