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114412465817 = 13431031987121
BaseRepresentation
bin110101010001110000…
…0111010111010011001
3101221022121020110112222
41222203200322322121
53333304042401232
6124321012113425
711160150625166
oct1524340727231
9357277213488
10114412465817
1144581943a81
121a210605875
13aa34705c20
14577522506d
152e99694d12
hex1aa383ae99

114412465817 has 16 divisors (see below), whose sum is σ = 127302983808. Its totient is φ = 102153864960.

The previous prime is 114412465787. The next prime is 114412465823. The reversal of 114412465817 is 718564214411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114412465817 - 26 = 114412465753 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (114412465877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 935984 + ... + 1051137.

It is an arithmetic number, because the mean of its divisors is an integer number (7956436488).

Almost surely, 2114412465817 is an apocalyptic number.

It is an amenable number.

114412465817 is a deficient number, since it is larger than the sum of its proper divisors (12890517991).

114412465817 is a wasteful number, since it uses less digits than its factorization.

114412465817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987280.

The product of its digits is 215040, while the sum is 44.

The spelling of 114412465817 in words is "one hundred fourteen billion, four hundred twelve million, four hundred sixty-five thousand, eight hundred seventeen".

Divisors: 1 13 43 103 559 1339 4429 57577 1987121 25832573 85446203 204673463 1110800639 2660755019 8800958909 114412465817