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104312304144 = 2434109738421
BaseRepresentation
bin110000100100101111…
…1110111001000010000
3100222020201000002110000
41201021133313020100
53202112422213034
6115530450410000
710351645645536
oct1411137671020
9328221002400
10104312304144
1140269638024
1218271b90900
139ab50494b9
145097a6c156
152aa7aee599
hex18497f7210

104312304144 has 100 divisors (see below), whose sum is σ = 304680301420. Its totient is φ = 34451723520.

The previous prime is 104312304137. The next prime is 104312304227. The reversal of 104312304144 is 441403213401.

104312304144 is a `hidden beast` number, since 1 + 0 + 4 + 312 + 304 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89109414144 + 15202890000 = 298512^2 + 123300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 227947 + ... + 510474.

Almost surely, 2104312304144 is an apocalyptic number.

It is an amenable number.

104312304144 is an abundant number, since it is smaller than the sum of its proper divisors (200367997276).

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

104312304144 is a wasteful number, since it uses less digits than its factorization.

104312304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738550 (or 738535 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104312304144 its reverse (441403213401), we get a palindrome (545715517545).

The spelling of 104312304144 in words is "one hundred four billion, three hundred twelve million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 141264 738421 1476842 2215263 2953684 4430526 5907368 6645789 8861052 11814736 13291578 17722104 19937367 26583156 35444208 39874734 53166312 59812101 79749468 80487889 106332624 119624202 159498936 160975778 239248404 241463667 318997872 321951556 478496808 482927334 643903112 724391001 956993616 965854668 1287806224 1448782002 1931709336 2173173003 2897564004 3863418672 4346346006 5795128008 6519519009 8692692012 11590256016 13039038018 17385384024 26078076036 34770768048 52156152072 104312304144