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35140130521405 = 57213109283335729
BaseRepresentation
bin1111111110101101100101…
…11111110100000100111101
311121102100211010002221100121
413333112302333310010331
514101213441403141110
6202423053023054541
710254535123052500
oct777266277640475
9147370733087317
1035140130521405
111021893363a388
123b36486741451
13167b9141343b0
14896b11819137
1540e11e8eecda
hex1ff5b2ff413d

35140130521405 has 96 divisors (see below), whose sum is σ = 53330995317600. Its totient is φ = 22030088306688.

The previous prime is 35140130521381. The next prime is 35140130521417. The reversal of 35140130521405 is 50412503104153.

It can be written as a sum of positive squares in 16 ways, for example, as 23446097041689 + 11694033479716 = 4842117^2 + 3419654^2 .

It is not a de Polignac number, because 35140130521405 - 215 = 35140130488637 is a prime.

It is a super-2 number, since 2×351401305214052 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983500581 + ... + 983536309.

It is an arithmetic number, because the mean of its divisors is an integer number (555531201225).

Almost surely, 235140130521405 is an apocalyptic number.

35140130521405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35140130521405 is a deficient number, since it is larger than the sum of its proper divisors (18190864796195).

35140130521405 is a wasteful number, since it uses less digits than its factorization.

35140130521405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38703 (or 38696 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 35140130521405 its reverse (50412503104153), we get a palindrome (85552633625558).

The spelling of 35140130521405 in words is "thirty-five trillion, one hundred forty billion, one hundred thirty million, five hundred twenty-one thousand, four hundred five".

Divisors: 1 5 7 13 35 49 65 91 109 245 455 545 637 763 1417 2833 3185 3815 5341 7085 9919 14165 19831 26705 35729 36829 49595 69433 99155 138817 178645 184145 250103 257803 308797 347165 464477 694085 1250515 1289015 1543985 1750721 1804621 2161579 2322385 3251339 3894461 4014361 8753605 9023105 10807895 15131053 16256695 19472305 20071805 22759373 27261227 28100527 50627993 75655265 101220257 113796865 136306135 140502635 190828589 196703689 253139965 354395951 506101285 708541799 954142945 983518445 1315863341 1771979755 2480771657 3542708995 4959792593 6579316705 9211043387 11033008013 12403858285 24798962965 46055216935 55165040065 64477303709 77231056091 143429104169 322386518545 386155280455 540617392637 717145520845 1004003729183 2703086963185 5020018645915 7028026104281 35140130521405