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114072043167 = 3221167788729
BaseRepresentation
bin110101000111100111…
…0010011111010011111
3101220102212200012110200
41222033032103322133
53332104420340132
6124223131434543
711145545240265
oct1521716237237
9356385605420
10114072043167
1144417770445
121a1365b5a53
13a9ac0240c4
145741d2c435
152e7984dd7c
hex1a8f393e9f

114072043167 has 24 divisors (see below), whose sum is σ = 165798038640. Its totient is φ = 75574961280.

The previous prime is 114072043123. The next prime is 114072043177. The reversal of 114072043167 is 761340270411.

114072043167 is a `hidden beast` number, since 1 + 140 + 7 + 20 + 431 + 67 = 666.

It is not a de Polignac number, because 114072043167 - 26 = 114072043103 is a prime.

It is a super-2 number, since 2×1140720431672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114072043177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241259 + ... + 1329987.

It is an arithmetic number, because the mean of its divisors is an integer number (6908251610).

Almost surely, 2114072043167 is an apocalyptic number.

114072043167 is a deficient number, since it is larger than the sum of its proper divisors (51725995473).

114072043167 is a wasteful number, since it uses less digits than its factorization.

114072043167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89623 (or 89620 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 114072043167 in words is "one hundred fourteen billion, seventy-two million, forty-three thousand, one hundred sixty-seven".

Divisors: 1 3 9 211 633 677 1899 2031 6093 88729 142847 266187 428541 798561 1285623 18721819 56165457 60069533 168496371 180208599 540625797 12674671463 38024014389 114072043167