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131455353114 = 23410764111831
BaseRepresentation
bin111101001101101011…
…0011000000100011010
3110120022100102211210000
41322123112120010122
54123210032244424
6140220104233430
712332405031231
oct1723326300432
9416270384700
10131455353114
11508281354a8
122158816b876
13c51c564117
1465108a9b18
1536459de3c9
hex1e9b59811a

131455353114 has 80 divisors (see below), whose sum is σ = 297799229376. Its totient is φ = 43337548800.

The previous prime is 131455353103. The next prime is 131455353121. The reversal of 131455353114 is 411353554131.

131455353114 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 535 + 3 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11105179 + ... + 11117009.

Almost surely, 2131455353114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131455353114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148899614688).

131455353114 is an abundant number, since it is smaller than the sum of its proper divisors (166343876262).

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

131455353114 is a wasteful number, since it uses less digits than its factorization.

131455353114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12593 (or 12584 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 131455353114 in words is "one hundred thirty-one billion, four hundred fifty-five million, three hundred fifty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 641 642 963 1282 1923 1926 2889 3846 5769 5778 8667 11538 11831 17307 17334 23662 34614 35493 51921 68587 70986 103842 106479 137174 205761 212958 319437 411522 617283 638874 958311 1234566 1265917 1851849 1916622 2531834 3703698 3797751 5555547 7583671 7595502 11111094 11393253 15167342 22751013 22786506 34179759 45502026 68253039 68359518 102539277 136506078 204759117 205078554 409518234 614277351 811452797 1228554702 1622905594 2434358391 4868716782 7303075173 14606150346 21909225519 43818451038 65727676557 131455353114