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140253463656 = 23334724375669
BaseRepresentation
bin1000001010011111000…
…0100000010001101000
3111102000111122011112000
42002213300200101220
54244214341314111
6144233114251000
713063416525255
oct2024760402150
9442014564460
10140253463656
1154532473139
1223222726a60
13102c22480a7
146b0716a42c
1539ad0dbc56
hex20a7c20468

140253463656 has 128 divisors (see below), whose sum is σ = 398115648000. Its totient is φ = 45729605376.

The previous prime is 140253463643. The next prime is 140253463673. The reversal of 140253463656 is 656364352041.

140253463656 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 5 + 3 + 4 + 636 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24737590 + ... + 24743258.

It is an arithmetic number, because the mean of its divisors is an integer number (3110278500).

Almost surely, 2140253463656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140253463656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199057824000).

140253463656 is an abundant number, since it is smaller than the sum of its proper divisors (257862184344).

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

140253463656 is a wasteful number, since it uses less digits than its factorization.

140253463656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 140253463656 in words is "one hundred forty billion, two hundred fifty-three million, four hundred sixty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2437 2538 3384 4874 5076 5669 7311 9748 10152 11338 14622 17007 19496 21933 22676 29244 34014 43866 45352 51021 58488 65799 68028 87732 102042 114539 131598 136056 153063 175464 204084 229078 263196 266443 306126 343617 408168 458156 526392 532886 612252 687234 799329 916312 1030851 1065772 1224504 1374468 1598658 2061702 2131544 2397987 2748936 3092553 3197316 4123404 4795974 6185106 6394632 7193961 8246808 9591948 12370212 13815353 14387922 19183896 24740424 27630706 28775844 41446059 55261412 57551688 82892118 110522824 124338177 165784236 248676354 331568472 373014531 497352708 649321591 746029062 994705416 1298643182 1492058124 1947964773 2597286364 2984116248 3895929546 5194572728 5843894319 7791859092 11687788638 15583718184 17531682957 23375577276 35063365914 46751154552 70126731828 140253463656