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114054071067 = 3218913670051
BaseRepresentation
bin110101000111000100…
…1110000001100011011
3101220101121212010101100
41222032021300030123
53332040320233232
6124221250322443
711145236415426
oct1521611601433
9356347763340
10114054071067
1144408605772
121a130589423
13a9a83a0a21
14573d7b09bd
152e77e9dc7c
hex1a8e27031b

114054071067 has 12 divisors (see below), whose sum is σ = 164753725864. Its totient is φ = 76031913600.

The previous prime is 114054071063. The next prime is 114054071071. The reversal of 114054071067 is 760170450411.

114054071067 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 540 + 7 + 106 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (114054071063) and next prime (114054071071).

It is not a de Polignac number, because 114054071067 - 22 = 114054071063 is a prime.

It is a super-2 number, since 2×1140540710672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114054071063) 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, 164809 + ... + 505242.

Almost surely, 2114054071067 is an apocalyptic number.

114054071067 is a deficient number, since it is larger than the sum of its proper divisors (50699654797).

114054071067 is a wasteful number, since it uses less digits than its factorization.

114054071067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688970 (or 688967 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 114054071067 in words is "one hundred fourteen billion, fifty-four million, seventy-one thousand, sixty-seven".

Divisors: 1 3 9 18913 56739 170217 670051 2010153 6030459 12672674563 38018023689 114054071067