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4504440213252 = 22327431759236323
BaseRepresentation
bin100000110001100010110…
…0011110000111100000100
3120221121202011221121200100
41001203011203300330010
51042300043143311002
613325151122244100
7643302141034560
oct101430543607404
916847664847610
104504440213252
111487360084aa1
12608ba7ab6630
132689c7b19115
141180321486a0
157c28681c11c
hex418c58f0f04

4504440213252 has 144 divisors (see below), whose sum is σ = 13323077447680. Its totient is φ = 1256333125824.

The previous prime is 4504440213199. The next prime is 4504440213257. The reversal of 4504440213252 is 2523120444054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4504440213257) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18942363 + ... + 19178685.

Almost surely, 24504440213252 is an apocalyptic number.

4504440213252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4504440213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661538723840).

4504440213252 is an abundant number, since it is smaller than the sum of its proper divisors (8818637234428).

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

4504440213252 is a wasteful number, since it uses less digits than its factorization.

4504440213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238142 (or 238137 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4504440213252 in words is "four trillion, five hundred four billion, four hundred forty million, two hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1759 1806 2709 3518 3612 5277 5418 7036 10554 10836 12313 15831 21108 24626 31662 36939 49252 63324 73878 75637 110817 147756 151274 221634 226911 236323 302548 443268 453822 472646 529459 680733 708969 907644 945292 1058918 1361466 1417938 1588377 1654261 2117836 2126907 2722932 2835876 3176754 3308522 4253814 4765131 4962783 6353508 6617044 8507628 9530262 9925566 10161889 14888349 19060524 19851132 20323778 29776698 30485667 40647556 59553396 60971334 71133223 91457001 121942668 142266446 182914002 213399669 284532892 365828004 415692157 426799338 640199007 831384314 853598676 1247076471 1280398014 1662768628 2494152942 2560796028 2909845099 3741229413 4988305884 5819690198 7482458826 8729535297 11639380396 14964917652 17459070594 17874762751 26188605891 34918141188 35749525502 52377211782 53624288253 71499051004 104754423564 107248576506 125123339257 160872864759 214497153012 250246678514 321745729518 375370017771 500493357028 643491459036 750740035542 1126110053313 1501480071084 2252220106626 4504440213252