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13411444331313 = 337346110333041
BaseRepresentation
bin1100001100101001100001…
…1000000001001100110001
31202111010021121121011111000
43003022120120001030301
53224213114222100223
644305044340312213
72552642043615000
oct303123030011461
952433247534430
1013411444331313
114300841764646
1216072896a2669
137639032b4822
143451900bcc37
15183ce0b3d543
hexc3298601331

13411444331313 has 128 divisors (see below), whose sum is σ = 23251003776000. Its totient is φ = 7637143449600.

The previous prime is 13411444331267. The next prime is 13411444331317. The reversal of 13411444331313 is 31313344411431.

13411444331313 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 4 + 4 + 4 + 331 + 313 = 666.

It is not a de Polignac number, because 13411444331313 - 217 = 13411444200241 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13411444331317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4410207073 + ... + 4410210113.

It is an arithmetic number, because the mean of its divisors is an integer number (181648467000).

Almost surely, 213411444331313 is an apocalyptic number.

It is an amenable number.

13411444331313 is a deficient number, since it is larger than the sum of its proper divisors (9839559444687).

13411444331313 is a wasteful number, since it uses less digits than its factorization.

13411444331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4545 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 13411444331313 its reverse (31313344411431), we get a palindrome (44724788742744).

The spelling of 13411444331313 in words is "thirteen trillion, four hundred eleven billion, four hundred forty-four million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 461 1029 1033 1323 1383 3041 3087 3099 3227 4149 7231 9123 9261 9297 9681 12447 21287 21693 22589 27369 27891 29043 50617 63861 65079 67767 82107 87129 149009 151851 158123 191583 195237 203301 354319 447027 455553 474369 476213 574749 609903 1043063 1062957 1341081 1366659 1401901 1423107 1428639 3129189 3141353 3188871 3333491 4023243 4205703 4269321 4285917 9387567 9424059 9566613 9813307 10000473 12617109 12857751 21989471 23334437 28162701 28272177 29439921 30001419 37851327 65968413 68693149 70003311 84816531 88319763 90004257 153926297 163341059 197905239 206079447 210009933 264959289 461778891 480852043 490023177 593715717 618238341 630029799 1077484079 1385336673 1442556129 1448163733 1470069531 1854715023 3232452237 4156010019 4327668387 4344491199 4410208593 9697356711 10137146131 12983005161 13033473597 29092070133 30411438393 39100420791 70960022917 91234315179 212880068751 273702945537 496720160419 638640206253 1490160481257 1915920618759 4470481443771 13411444331313