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4860490441104 = 243241244812
BaseRepresentation
bin100011010111010101111…
…0011100110000110010000
3122012122202221021020101100
41012232223303212012100
51114113241023103404
614200513430304400
71011105325035234
oct106565363460620
918178687236340
104860490441104
111604360161051
12665bb44b8100
1329345acbb50c
1412b36b3425c4
1586674acad39
hex46babce6190

4860490441104 has 135 divisors (see below), whose sum is σ = 13945597980067. Its totient is φ = 1580294553600.

The previous prime is 4860490441097. The next prime is 4860490441109. The reversal of 4860490441104 is 4011440940684.

It is a happy number.

The square root of 4860490441104 is 2204652.

It is a perfect power (a square), and thus also a powerful number.

4860490441104 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 490 + 44 + 110 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324612783504 + 4535877657600 = 569748^2 + 2129760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4860490441104.

It is not an unprimeable number, because it can be changed into a prime (4860490441109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1084686544 + ... + 1084691024.

Almost surely, 24860490441104 is an apocalyptic number.

4860490441104 is the 2204652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4860490441104

4860490441104 is an abundant number, since it is smaller than the sum of its proper divisors (9085107538963).

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

4860490441104 is an frugal number, since it uses more digits than its factorization.

4860490441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4860490441104 in words is "four trillion, eight hundred sixty billion, four hundred ninety million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1681 1968 2952 3362 4481 5043 5904 6724 8962 10086 13443 13448 15129 17924 20172 26886 26896 30258 35848 40329 40344 53772 60516 71696 80658 80688 107544 121032 161316 183721 215088 242064 322632 367442 551163 645264 734884 1102326 1469768 1653489 2204652 2939536 3306978 4409304 6613956 7532561 8818608 13227912 15065122 20079361 22597683 26455824 30130244 40158722 45195366 60238083 60260488 67793049 80317444 90390732 120476166 120520976 135586098 160634888 180714249 180781464 240952332 271172196 321269776 361428498 361562928 481904664 542344392 722856996 823253801 963809328 1084688784 1445713992 1646507602 2469761403 2891427984 3293015204 4939522806 6586030408 7409284209 9879045612 13172060816 14818568418 19758091224 29637136836 33753405841 39516182448 59274273672 67506811682 101260217523 118548547344 135013623364 202520435046 270027246728 303780652569 405040870092 540054493456 607561305138 810081740184 1215122610276 1620163480368 2430245220552 4860490441104