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140527788831 = 32107581145139
BaseRepresentation
bin1000001011100000011…
…0111110001100011111
3111102201121211022220200
42002320012332030133
54300300103220311
6144320234114543
713103260332153
oct2027006761437
9442647738820
10140527788831
1154663300761
122329a57ba53
1310337026791
146b31779063
1539c7228556
hex20b81be31f

140527788831 has 12 divisors (see below), whose sum is σ = 202987869240. Its totient is φ = 93683676240.

The previous prime is 140527788829. The next prime is 140527788889. The reversal of 140527788831 is 138887725041.

140527788831 is a `hidden beast` number, since 1 + 4 + 0 + 527 + 7 + 8 + 88 + 31 = 666.

140527788831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140527788831 - 21 = 140527788829 is a prime.

It is a super-2 number, since 2×1405277888312 (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 (140527788031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 895660 + ... + 1040798.

It is an arithmetic number, because the mean of its divisors is an integer number (16915655770).

Almost surely, 2140527788831 is an apocalyptic number.

140527788831 is a deficient number, since it is larger than the sum of its proper divisors (62460080409).

140527788831 is a wasteful number, since it uses less digits than its factorization.

140527788831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252726 (or 252723 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 140527788831 in words is "one hundred forty billion, five hundred twenty-seven million, seven hundred eighty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 9 107581 145139 322743 435417 968229 1306251 15614198759 46842596277 140527788831