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413015245555410 = 2325188921121115021
BaseRepresentation
bin101110111101000101001101…
…0111111111000011011010010
32000011100212112120222002210200
41131322022122333320123102
5413113320210330233120
64022224330124440030
7152665236543534321
oct13572123277703322
92004325476862720
10413015245555410
1110a665866915863
123a3a51560a9016
131495c22a899874
1473dc08a3340b8
1532b371ae31e90
hex177a29aff86d2

413015245555410 has 96 divisors (see below), whose sum is σ = 1074468318945840. Its totient is φ = 110072925388800.

The previous prime is 413015245555267. The next prime is 413015245555447. The reversal of 413015245555410 is 14555542510314.

413015245555410 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 1 + 52 + 4 + 5 + 55 + 541 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 355823219178729 + 57192026376681 = 18863277^2 + 7562541^2 .

It is a super-2 number, since 2×4130152455554102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590723700 + ... + 3590838720.

Almost surely, 2413015245555410 is an apocalyptic number.

413015245555410 is an abundant number, since it is smaller than the sum of its proper divisors (661453073390430).

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

413015245555410 is a wasteful number, since it uses less digits than its factorization.

413015245555410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138044 (or 138041 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 413015245555410 in words is "four hundred thirteen trillion, fifteen billion, two hundred forty-five million, five hundred fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1889 3778 5667 9445 11334 17001 18890 21121 28335 34002 42242 56670 63363 85005 105605 115021 126726 170010 190089 211210 230042 316815 345063 380178 575105 633630 690126 950445 1035189 1150210 1725315 1900890 2070378 3450630 5175945 10351890 39897569 79795138 119692707 199487845 217274669 239385414 359078121 398975690 434549338 598463535 651824007 718156242 1086373345 1196927070 1303648014 1795390605 1955472021 2172746690 2429358541 3259120035 3590781210 3910944042 4858717082 6518240070 7288075623 9777360105 12146792705 14576151246 19554720210 21864226869 24293585410 36440378115 43728453738 72880756230 109321134345 218642268690 4589058283949 9178116567898 13767174851847 22945291419745 27534349703694 41301524555541 45890582839490 68835874259235 82603049111082 137671748518470 206507622777705 413015245555410