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104024013405 = 35132967733761
BaseRepresentation
bin110000011100001010…
…0000111101001011101
3100221111121112101220020
41200320110013221131
53201020121412110
6115442111342353
710341545345004
oct1407024075135
9327447471806
10104024013405
1140130930a14
12181b15219b9
139a6a3bb270
14506b665c3b
152a8c654d70
hex1838507a5d

104024013405 has 128 divisors (see below), whose sum is σ = 190818270720. Its totient is φ = 48027893760.

The previous prime is 104024013361. The next prime is 104024013413. The reversal of 104024013405 is 504310420401.

It is not a de Polignac number, because 104024013405 - 213 = 104024005213 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27656725 + ... + 27660485.

It is an arithmetic number, because the mean of its divisors is an integer number (1490767740).

Almost surely, 2104024013405 is an apocalyptic number.

104024013405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104024013405 is a deficient number, since it is larger than the sum of its proper divisors (86794257315).

104024013405 is a wasteful number, since it uses less digits than its factorization.

104024013405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 104024013405 its reverse (504310420401), we get a palindrome (608334433806).

The spelling of 104024013405 in words is "one hundred four billion, twenty-four million, thirteen thousand, four hundred five".

Divisors: 1 3 5 13 15 29 39 65 67 73 87 145 195 201 219 335 365 377 435 871 949 1005 1095 1131 1885 1943 2117 2613 2847 3761 4355 4745 4891 5655 5829 6351 9715 10585 11283 13065 14235 14673 18805 24455 25259 27521 29145 31755 48893 56415 63583 73365 75777 82563 109069 126295 137605 141839 146679 190749 244465 251987 274553 317915 327207 378885 412815 425517 545345 709195 733395 755961 823659 953745 1259935 1372765 1417897 1636035 1843907 2127585 3275831 3569189 3779805 4118295 4253691 5531721 7089485 7307623 7962037 9219535 9827493 10707567 16379155 17845945 18395051 21268455 21922869 23886111 27658605 36538115 39810185 49137465 53537835 55185153 91975255 94999099 103506481 109614345 119430555 239135663 275925765 284997297 310519443 474995495 517532405 533456479 717406989 1195678315 1424986485 1552597215 1600369437 2667282395 3587034945 6934934227 8001847185 20804802681 34674671135 104024013405