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114257265528 = 2337680102771
BaseRepresentation
bin110101001101001000…
…0111000001101111000
3101220220210012110210010
41222122100320031320
53332444324444103
6124253345421520
711153254506210
oct1523220701570
9356823173703
10114257265528
114450227a77a
121a18863a8a0
13aa0b506033
14575c785240
152e8ac39903
hex1a9a438378

114257265528 has 32 divisors (see below), whose sum is σ = 326449330560. Its totient is φ = 32644932960.

The previous prime is 114257265527. The next prime is 114257265541. The reversal of 114257265528 is 825562752411.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114257265527) 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 7 ways as a sum of consecutive naturals, for example, 340051218 + ... + 340051553.

It is an arithmetic number, because the mean of its divisors is an integer number (10201541580).

Almost surely, 2114257265528 is an apocalyptic number.

It is an amenable number.

114257265528 is an abundant number, since it is smaller than the sum of its proper divisors (212192065032).

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

114257265528 is a wasteful number, since it uses less digits than its factorization.

114257265528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680102787 (or 680102783 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The spelling of 114257265528 in words is "one hundred fourteen billion, two hundred fifty-seven million, two hundred sixty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 680102771 1360205542 2040308313 2720411084 4080616626 4760719397 5440822168 8161233252 9521438794 14282158191 16322466504 19042877588 28564316382 38085755176 57128632764 114257265528