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413014031020041 = 311315921499318287
BaseRepresentation
bin101110111101000100101001…
…0100110110011000000001001
32000011100202101221121022111020
41131322021102212303000021
5413113310213420120131
64022224005421023053
7152665164465260013
oct13572112246630011
92004322357538436
10413014031020041
1110a6652a3291420
123a3a4a773b4a89
131495c096086399
1473dbdb2cdd1b3
1532b36994c4996
hex177a2529b3009

413014031020041 has 64 divisors (see below), whose sum is σ = 630668574720000. Its totient is φ = 238119432494400.

The previous prime is 413014031020033. The next prime is 413014031020079. The reversal of 413014031020041 is 140020130410314.

It is not a de Polignac number, because 413014031020041 - 23 = 413014031020033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413014031019993 and 413014031020020.

It is not an unprimeable number, because it can be changed into a prime (413014031020091) 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, 1297456000 + ... + 1297774286.

It is an arithmetic number, because the mean of its divisors is an integer number (9854196480000).

Almost surely, 2413014031020041 is an apocalyptic number.

It is an amenable number.

413014031020041 is a deficient number, since it is larger than the sum of its proper divisors (217654543699959).

413014031020041 is a wasteful number, since it uses less digits than its factorization.

413014031020041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339890.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413014031020041 its reverse (140020130410314), we get a palindrome (553034161430355).

The spelling of 413014031020041 in words is "four hundred thirteen trillion, fourteen billion, thirty-one million, twenty thousand, forty-one".

Divisors: 1 3 11 31 33 59 93 177 341 649 1023 1829 1947 5487 20119 21499 60357 64497 236489 318287 666469 709467 954861 1268441 1999407 3501157 3805323 7331159 9866897 10503471 13952851 18778933 21993477 29600691 39321671 41858553 56336799 108535867 117965013 206568263 325607601 432538381 582146923 619704789 1297615143 1746440769 6403616153 6842852213 19210848459 20528556639 75271374343 212128418603 225814123029 403728280567 636385255809 1211184841701 2333412604633 4441011086237 7000237813899 12515576697577 13323033258711 37546730092731 137671343673347 413014031020041