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1313425104040 = 23572673995713
BaseRepresentation
bin10011000111001110001…
…111001001110010101000
311122120011212001101210201
4103013032033021302220
5133004343311312130
62443213522121544
7163614620115400
oct23071617116250
94576155041721
101313425104040
114670252595a5
121926734b02b4
1396b1758a09a
14477da571800
1524272848bca
hex131ce3c9ca8

1313425104040 has 96 divisors (see below), whose sum is σ = 3442800640680. Its totient is φ = 449647607808.

The previous prime is 1313425104037. The next prime is 1313425104053. The reversal of 1313425104040 is 404015243131.

It can be written as a sum of positive squares in 4 ways, for example, as 620398823716 + 693026280324 = 787654^2 + 832482^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821224 + ... + 1816936.

Almost surely, 21313425104040 is an apocalyptic number.

1313425104040 is a gapful number since it is divisible by the number (10) 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 1313425104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721400320340).

1313425104040 is an abundant number, since it is smaller than the sum of its proper divisors (2129375536640).

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

1313425104040 is a wasteful number, since it uses less digits than its factorization.

1313425104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996411 (or 996400 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 1313425104040 in words is "one trillion, three hundred thirteen billion, four hundred twenty-five million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 673 980 1346 1960 2692 3365 4711 5384 6730 9422 13460 18844 23555 26920 32977 37688 47110 65954 94220 131908 164885 188440 263816 329770 659540 995713 1319080 1991426 3982852 4978565 6969991 7965704 9957130 13939982 19914260 27879964 34849955 39828520 48789937 55759928 69699910 97579874 139399820 195159748 243949685 278799640 390319496 487899370 670114849 975798740 1340229698 1951597480 2680459396 3350574245 4690803943 5360918792 6701148490 9381607886 13402296980 18763215772 23454019715 26804593960 32835627601 37526431544 46908039430 65671255202 93816078860 131342510404 164178138005 187632157720 262685020808 328356276010 656712552020 1313425104040