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114313544136 = 23331148111761
BaseRepresentation
bin110101001110110011…
…1100100000111001000
3101221001201002201112000
41222131213210013020
53333103231403021
6124303115551000
711154540043611
oct1523547440710
9357051081460
10114313544136
1144531019720
121a1a345b460
13aa1a07c19c
145766034c08
152e90b54b26
hex1a9d9e41c8

114313544136 has 64 divisors (see below), whose sum is σ = 346404686400. Its totient is φ = 34640467200.

The previous prime is 114313544131. The next prime is 114313544161. The reversal of 114313544136 is 631445313411.

114313544136 is a `hidden beast` number, since 11 + 43 + 135 + 441 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114313544136.

It is not an unprimeable number, because it can be changed into a prime (114313544131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24053505 + ... + 24058256.

It is an arithmetic number, because the mean of its divisors is an integer number (5412573225).

Almost surely, 2114313544136 is an apocalyptic number.

It is an amenable number.

114313544136 is an abundant number, since it is smaller than the sum of its proper divisors (232091142264).

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

114313544136 is a wasteful number, since it uses less digits than its factorization.

114313544136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48111787 (or 48111777 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 114313544136 its reverse (631445313411), we get a palindrome (745758857547).

The spelling of 114313544136 in words is "one hundred fourteen billion, three hundred thirteen million, five hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 48111761 96223522 144335283 192447044 288670566 384894088 433005849 529229371 577341132 866011698 1058458742 1154682264 1299017547 1587688113 1732023396 2116917484 2598035094 3175376226 3464046792 4233834968 4763064339 5196070188 6350752452 9526128678 10392140376 12701504904 14289193017 19052257356 28578386034 38104514712 57156772068 114313544136