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134140110413001 = 37116532213401839
BaseRepresentation
bin11110011111111111101101…
…101000011001110011001001
3122120221200001221011102121120
4132133333231220121303021
5120040222421231204001
61153143041020225453
740153205661445650
oct3637775550316311
9576850057142546
10134140110413001
1139817557336950
121306530369b289
1359b0486a90c34
14251a5b766c197
15107945acd5236
hex79ffeda19cc9

134140110413001 has 64 divisors (see below), whose sum is σ = 223429109391360. Its totient is φ = 69544848925440.

The previous prime is 134140110412999. The next prime is 134140110413233. The reversal of 134140110413001 is 100314011041431.

It is not a de Polignac number, because 134140110413001 - 21 = 134140110412999 is a prime.

It is a super-3 number, since 3×1341401104130013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (134140110413501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333614640 + ... + 334016478.

It is an arithmetic number, because the mean of its divisors is an integer number (3491079834240).

Almost surely, 2134140110413001 is an apocalyptic number.

134140110413001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134140110413001 is a deficient number, since it is larger than the sum of its proper divisors (89288998978359).

134140110413001 is a wasteful number, since it uses less digits than its factorization.

134140110413001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404726.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 134140110413001 its reverse (100314011041431), we get a palindrome (234454121454432).

The spelling of 134140110413001 in words is "one hundred thirty-four trillion, one hundred forty billion, one hundred ten million, four hundred thirteen thousand, one".

Divisors: 1 3 7 11 21 33 77 231 653 1959 2213 4571 6639 7183 13713 15491 21549 24343 46473 50281 73029 150843 170401 401839 511203 1205517 1445089 2812873 4335267 4420229 8438619 10115623 13260687 15895979 30346869 30941603 47687937 92824809 111271853 262400867 333815559 787202601 889269707 1836806069 2667809121 2886409537 5510418207 6224887949 8659228611 9781966777 18674663847 20204866759 29345900331 60614600277 68473767439 205421302317 580693118671 1742079356013 4064851830697 6387624305381 12194555492091 19162872916143 44713370137667 134140110413001