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42315405405 = 35713236720117
BaseRepresentation
bin100111011010001100…
…011101100001011101
311001020000220022121020
4213122030131201131
51143130220433110
631234525554353
73025421003610
oct473214354135
9131200808536
1042315405405
1116a44a41429
12824b4159b9
133cb498c730
142095cca177
151179decd70
hex9da31d85d

42315405405 has 128 divisors (see below), whose sum is σ = 88253964288. Its totient is φ = 16824056832.

The previous prime is 42315405389. The next prime is 42315405409. The reversal of 42315405405 is 50450451324.

It is not a de Polignac number, because 42315405405 - 24 = 42315405389 is a prime.

42315405405 is a modest number, since divided by 405405 gives 42315 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315405409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2093407 + ... + 2113523.

It is an arithmetic number, because the mean of its divisors is an integer number (689484096).

Almost surely, 242315405405 is an apocalyptic number.

It is an amenable number.

42315405405 is an abundant number, since it is smaller than the sum of its proper divisors (45938558883).

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

42315405405 is a wasteful number, since it uses less digits than its factorization.

42315405405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 42315405405 its reverse (50450451324), we get a palindrome (92765856729).

The spelling of 42315405405 in words is "forty-two billion, three hundred fifteen million, four hundred five thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 67 69 91 105 115 161 195 201 273 299 335 345 455 469 483 805 871 897 1005 1365 1407 1495 1541 2093 2345 2415 2613 4355 4485 4623 6097 6279 7035 7705 10465 10787 13065 18291 20033 20117 23115 30485 31395 32361 53935 60099 60351 91455 100165 100585 140231 140819 161805 261521 300495 301755 420693 422457 462691 701155 704095 784563 1307605 1347839 1388073 1830647 2103465 2112285 2313455 3238837 3922815 4043517 5491941 6014983 6739195 6940365 9153235 9434873 9716511 16194185 17521907 18044949 20217585 27459705 28304619 30074915 31000297 42104881 47174365 48582555 52565721 87609535 90224745 93000891 122653349 126314643 141523095 155001485 210524405 217002079 262828605 367960047 403003861 465004455 613266745 631573215 651006237 1085010395 1209011583 1839800235 2015019305 2821027027 3255031185 6045057915 8463081081 14105135135 42315405405