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140056432632 = 233241191248401
BaseRepresentation
bin1000001001110000000…
…0111000111111111000
3111101111202212221202200
42002130000320333320
54243313421321012
6144201355230200
713055505014634
oct2023400707770
9441452787680
10140056432632
1154441228886
1223188748360
131029049029c
146ac8d1bdc4
15399ab6c3dc
hex209c038ff8

140056432632 has 96 divisors (see below), whose sum is σ = 390607176960. Its totient is φ = 45308160000.

The previous prime is 140056432613. The next prime is 140056432643. The reversal of 140056432632 is 236234650041.

140056432632 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 643 + 2 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 439632 + ... + 688032.

It is an arithmetic number, because the mean of its divisors is an integer number (4068824760).

Almost surely, 2140056432632 is an apocalyptic number.

140056432632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140056432632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195303588480).

140056432632 is an abundant number, since it is smaller than the sum of its proper divisors (250550744328).

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

140056432632 is a wasteful number, since it uses less digits than its factorization.

140056432632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248645 (or 248638 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 140056432632 in words is "one hundred forty billion, fifty-six million, four hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 191 246 328 369 382 492 573 738 764 984 1146 1476 1528 1719 2292 2952 3438 4584 6876 7831 13752 15662 23493 31324 46986 62648 70479 93972 140958 187944 248401 281916 496802 563832 745203 993604 1490406 1987208 2235609 2980812 4471218 5961624 8942436 10184441 17884872 20368882 30553323 40737764 47444591 61106646 81475528 91659969 94889182 122213292 142333773 183319938 189778364 244426584 284667546 366639876 379556728 427001319 569335092 733279752 854002638 1138670184 1708005276 1945228231 3416010552 3890456462 5835684693 7780912924 11671369386 15561825848 17507054079 23342738772 35014108158 46685477544 70028216316 140056432632