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13312322041040 = 24511172338689613
BaseRepresentation
bin1100000110111000010000…
…1110011111010011010000
31202010122102121112002121222
43001232010032133103100
53221102113420303130
644151332445504212
72542532515216661
oct301560416372320
952118377462558
1013312322041040
1142727a6816890
1215b0025872068
13757467595a69
14340469855368
1518143d9cace5
hexc1b8439f4d0

13312322041040 has 160 divisors (see below), whose sum is σ = 37305454369536. Its totient is φ = 4357997895680.

The previous prime is 13312322041037. The next prime is 13312322041093. The reversal of 13312322041040 is 4014022321331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19000727 + ... + 19688886.

Almost surely, 213312322041040 is an apocalyptic number.

13312322041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312322041040 is an abundant number, since it is smaller than the sum of its proper divisors (23993132328496).

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

13312322041040 is a wasteful number, since it uses less digits than its factorization.

13312322041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38689677 (or 38689671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13312322041040 its reverse (4014022321331), we get a palindrome (17326344362371).

The spelling of 13312322041040 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-two million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 23 34 40 44 46 55 68 80 85 88 92 110 115 136 170 176 184 187 220 230 253 272 340 368 374 391 440 460 506 680 748 782 880 920 935 1012 1265 1360 1496 1564 1840 1870 1955 2024 2530 2992 3128 3740 3910 4048 4301 5060 6256 7480 7820 8602 10120 14960 15640 17204 20240 21505 31280 34408 43010 68816 86020 172040 344080 38689613 77379226 154758452 193448065 309516904 386896130 425585743 619033808 657723421 773792260 851171486 889861099 1315446842 1547584520 1702342972 1779722198 2127928715 2630893684 3095169040 3288617105 3404685944 3559444396 4255857430 4449305495 5261787368 6577234210 6809371888 7118888792 7234957631 8511714860 8898610990 9788472089 10523574736 13154468420 14237777584 14469915262 15127638683 17023429720 17797221980 19576944178 26308936840 28939830524 30255277366 34046859440 35594443960 36174788155 39153888356 48942360445 52617873680 57879661048 60510554732 71188887920 72349576310 75638193415 78307776712 97884720890 115759322096 121021109464 144699152620 151276386830 156615553424 166404025513 195769441780 242042218928 289398305240 302552773660 332808051026 391538883560 578796610480 605105547320 665616102052 783077767120 832020127565 1210211094640 1331232204104 1664040255130 2662464408208 3328080510260 6656161020520 13312322041040