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140624835125 = 5317219732
BaseRepresentation
bin1000001011110111100…
…1001011001000110101
3111102222101102210101212
42002331321023020311
54300444424211000
6144334022131205
713105546243025
oct2027571131065
9442871383355
10140624835125
1154703065005
1223306b80b05
1310351174a18
146b405dba85
1539d09e7c35
hex20bde4b235

140624835125 has 36 divisors (see below), whose sum is σ = 186525116076. Its totient is φ = 105828563200.

The previous prime is 140624835119. The next prime is 140624835133. The reversal of 140624835125 is 521538426041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140624835125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 136499213764 + 4125621361 = 369458^2 + 64231^2 .

It is not a de Polignac number, because 140624835125 - 212 = 140624831029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71273639 + ... + 71275611.

Almost surely, 2140624835125 is an apocalyptic number.

It is an amenable number.

140624835125 is a deficient number, since it is larger than the sum of its proper divisors (45900280951).

140624835125 is an frugal number, since it uses more digits than its factorization.

140624835125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 140624835125 in words is "one hundred forty billion, six hundred twenty-four million, eight hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 1445 1973 2125 7225 9865 33541 36125 49325 167705 246625 570197 838525 2850985 3892729 4192625 14254925 19463645 66176393 71274625 97318225 330881965 486591125 1124998681 1654409825 5624993405 8272049125 28124967025 140624835125