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34072214157 = 328834287431
BaseRepresentation
bin11111101110110111…
…001011101010001101
310020221112212211000200
4133232313023222031
51024234441323112
623352541444113
72314225020222
oct375667135215
9106845784020
1034072214157
11134a4970883
12672a870639
13329cc4c087
1419131d9949
15d463b5cdc
hex7eedcba8d

34072214157 has 12 divisors (see below), whose sum is σ = 49271168544. Its totient is φ = 22689079560.

The previous prime is 34072214117. The next prime is 34072214167. The reversal of 34072214157 is 75141227043.

34072214157 is a `hidden beast` number, since 340 + 7 + 221 + 41 + 57 = 666.

It is not a de Polignac number, because 34072214157 - 224 = 34055436941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34072214117) 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 11 ways as a sum of consecutive naturals, for example, 2135769 + ... + 2151662.

It is an arithmetic number, because the mean of its divisors is an integer number (4105930712).

Almost surely, 234072214157 is an apocalyptic number.

It is an amenable number.

34072214157 is a deficient number, since it is larger than the sum of its proper divisors (15198954387).

34072214157 is a wasteful number, since it uses less digits than its factorization.

34072214157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288320 (or 4288317 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 34072214157 in words is "thirty-four billion, seventy-two million, two hundred fourteen thousand, one hundred fifty-seven".

Divisors: 1 3 9 883 2649 7947 4287431 12862293 38586879 3785801573 11357404719 34072214157