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1313353855944 = 23321310911286119
BaseRepresentation
bin10011000111001001111…
…111010111001111001000
311122112222212222121210100
4103013021333113033020
5133004222041342234
62443202455045400
7163613063403114
oct23071177271710
94575885877710
101313353855944
11466a99015879
12192653670860
1396b058a2450
14477d0d06744
152426b473399
hex131c9fd73c8

1313353855944 has 96 divisors (see below), whose sum is σ = 3834129499200. Its totient is φ = 403738162560.

The previous prime is 1313353855921. The next prime is 1313353855967. The reversal of 1313353855944 is 4495583533131.

1313353855944 is a `hidden beast` number, since 1 + 3 + 1 + 33 + 53 + 8 + 559 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1313353855921) and next prime (1313353855967).

It is a super-2 number, since 2×13133538559442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378117 + ... + 1664235.

It is an arithmetic number, because the mean of its divisors is an integer number (39938848950).

Almost surely, 21313353855944 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 1313353855944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917064749600).

1313353855944 is an abundant number, since it is smaller than the sum of its proper divisors (2520775643256).

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

1313353855944 is a wasteful number, since it uses less digits than its factorization.

1313353855944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287235 (or 1287228 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 1313353855944 in words is "one trillion, three hundred thirteen billion, three hundred fifty-three million, eight hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1091 2182 3273 4364 6546 8728 9819 13092 14183 19638 26184 28366 39276 42549 56732 78552 85098 113464 127647 170196 255294 340392 510588 1021176 1286119 2572238 3858357 5144476 7716714 10288952 11575071 15433428 16719547 23150142 30866856 33439094 46300284 50158641 66878188 92600568 100317282 133756376 150475923 200634564 300951846 401269128 601903692 1203807384 1403155829 2806311658 4209467487 5612623316 8418934974 11225246632 12628402461 16837869948 18241025777 25256804922 33675739896 36482051554 50513609844 54723077331 72964103108 101027219688 109446154662 145928206216 164169231993 218892309324 328338463986 437784618648 656676927972 1313353855944