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913934317140 = 2232513735350277
BaseRepresentation
bin11010100110010101011…
…10101111011001010100
310020101000122122201212100
431103022232233121110
5104433214141122030
61535504452122100
7123013100342565
oct15231256573124
93211018581770
10913934317140
11322663106579
12129162906330
13682505ab490
143233dc8216c
1518b909d8360
hexd4cabaf654

913934317140 has 144 divisors (see below), whose sum is σ = 3026416852368. Its totient is φ = 221886646272.

The previous prime is 913934317117. The next prime is 913934317151. The reversal of 913934317140 is 41713439319.

913934317140 is a `hidden beast` number, since 9 + 139 + 343 + 171 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17981200836 + 895953116304 = 134094^2 + 946548^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2504319 + ... + 2845958.

It is an arithmetic number, because the mean of its divisors is an integer number (21016783697).

Almost surely, 2913934317140 is an apocalyptic number.

913934317140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

913934317140 is an abundant number, since it is smaller than the sum of its proper divisors (2112482535228).

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

913934317140 is a wasteful number, since it uses less digits than its factorization.

913934317140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350378 (or 5350373 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 913934317140 in words is "nine hundred thirteen billion, nine hundred thirty-four million, three hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1314 1460 1898 2190 2340 2628 2847 3285 3796 4380 4745 5694 6570 8541 9490 11388 13140 14235 17082 18980 28470 34164 42705 56940 85410 170820 5350277 10700554 16050831 21401108 26751385 32101662 48152493 53502770 64203324 69553601 80254155 96304986 107005540 139107202 160508310 192609972 208660803 240762465 278214404 321016620 347768005 390570221 417321606 481524930 625982409 695536010 781140442 834643212 963049860 1043304015 1171710663 1251964818 1391072020 1562280884 1952851105 2086608030 2343421326 2503929636 3129912045 3515131989 3905702210 4173216060 4686842652 5077412873 5858553315 6259824090 7030263978 7811404420 10154825746 11717106630 12519648180 14060527956 15232238619 17575659945 20309651492 23434213260 25387064365 30464477238 35151319890 45696715857 50774128730 60928954476 70302639780 76161193095 91393431714 101548257460 152322386190 182786863428 228483579285 304644772380 456967158570 913934317140