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138825544725045 = 32523134130961087
BaseRepresentation
bin11111100100001011010111…
…010001110111001000110101
3200012112120222220102220201100
4133210023113101313020311
5121144004203422200140
61211131324054320313
741145546262126053
oct3744132721671065
9605476886386640
10138825544725045
1140263645906172
12136a13a2059099
135c60267473719
14263d2996251d3
15110b287223530
hex7e42d7477235

138825544725045 has 24 divisors (see below), whose sum is σ = 251093159156736. Its totient is φ = 70821147453408.

The previous prime is 138825544725017. The next prime is 138825544725059. The reversal of 138825544725045 is 540527445528831.

138825544725045 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 5 + 54 + 4 + 72 + 504 + 5 = 666.

It is not a de Polignac number, because 138825544725045 - 217 = 138825544593973 is a prime.

It is a super-3 number, since 3×1388255447250453 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67065479509 + ... + 67065481578.

It is an arithmetic number, because the mean of its divisors is an integer number (10462214964864).

Almost surely, 2138825544725045 is an apocalyptic number.

138825544725045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138825544725045 is a deficient number, since it is larger than the sum of its proper divisors (112267614431691).

138825544725045 is a wasteful number, since it uses less digits than its factorization.

138825544725045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134130961121 (or 134130961118 counting only the distinct ones).

The product of its (nonzero) digits is 215040000, while the sum is 63.

The spelling of 138825544725045 in words is "one hundred thirty-eight trillion, eight hundred twenty-five billion, five hundred forty-four million, seven hundred twenty-five thousand, forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 134130961087 402392883261 670654805435 1207178649783 2011964416305 3085012105001 6035893248915 9255036315003 15425060525005 27765108945009 46275181575015 138825544725045