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5040235305315 = 3257193821220399
BaseRepresentation
bin100100101011000010101…
…1011110101100101100011
3122211211201122221102010100
41021112011123311211203
51130034400214232230
614415241354433443
71030100505133230
oct111260533654543
918754648842110
105040235305315
111673608481a01
126949b8732883
132a73a4b12832
14135d3d2c6787
158b194bd8660
hex495856f5963

5040235305315 has 96 divisors (see below), whose sum is σ = 10512762624000. Its totient is φ = 2182257573120.

The previous prime is 5040235305289. The next prime is 5040235305317. The reversal of 5040235305315 is 5135035320405.

5040235305315 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 2 + 35 + 305 + 315 = 666.

It is not a de Polignac number, because 5040235305315 - 25 = 5040235305283 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5040235305315.

It is not an unprimeable number, because it can be changed into a prime (5040235305317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22758486 + ... + 22978884.

It is an arithmetic number, because the mean of its divisors is an integer number (109507944000).

Almost surely, 25040235305315 is an apocalyptic number.

5040235305315 is an abundant number, since it is smaller than the sum of its proper divisors (5472527318685).

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

5040235305315 is a wasteful number, since it uses less digits than its factorization.

5040235305315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224257 (or 224254 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 5040235305315 in words is "five trillion, forty billion, two hundred thirty-five million, three hundred five thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 3821 5985 11463 19105 26747 34389 57315 72599 80241 133735 171945 217797 220399 240723 362995 401205 508193 653391 661197 1088985 1101995 1203615 1524579 1542793 1983591 2540965 3266955 3305985 4187581 4573737 4628379 7622895 7713965 9917955 12562743 13885137 20937905 22868685 23141895 29313067 37688229 62813715 69425685 87939201 146565335 188441145 263817603 439696005 842144579 1319088015 2526433737 4210722895 5895012053 7579301211 12632168685 16000747001 17685036159 29475060265 37896506055 48002241003 53055108477 80003735005 88425180795 112005229007 144006723009 240011205015 265275542385 336015687021 560026145035 720033615045 1008047061063 1680078435105 5040235305315