Search a number
-
+
44540804544 = 2639715715233
BaseRepresentation
bin101001011110110101…
…101011110111000000
311020222010101022022120
4221132311223313000
51212204421221134
632243424004240
73134522410005
oct513665536700
9136863338276
1044540804544
1117987139775
128770760680
13427aa44b62
1422276998ac
15125a485649
hexa5ed6bdc0

44540804544 has 112 divisors (see below), whose sum is σ = 119828694048. Its totient is φ = 14599323648.

The previous prime is 44540804543. The next prime is 44540804579.

44540804544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445408045442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44540804496 and 44540804505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44540804543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2916352 + ... + 2931584.

It is an arithmetic number, because the mean of its divisors is an integer number (1069899054).

Almost surely, 244540804544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44540804544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59914347024).

44540804544 is an abundant number, since it is smaller than the sum of its proper divisors (75287889504).

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

44540804544 is a wasteful number, since it uses less digits than its factorization.

44540804544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15502 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

The spelling of 44540804544 in words is "forty-four billion, five hundred forty million, eight hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 157 192 194 291 314 388 471 582 628 776 942 1164 1256 1552 1884 2328 2512 3104 3768 4656 5024 6208 7536 9312 10048 15072 15229 15233 18624 30144 30458 30466 45687 45699 60916 60932 91374 91398 121832 121864 182748 182796 243664 243728 365496 365592 487328 487456 730992 731184 974656 974912 1461984 1462368 1477601 2391581 2923968 2924736 2955202 4432803 4783162 5910404 7174743 8865606 9566324 11820808 14349486 17731212 19132648 23641616 28698972 35462424 38265296 47283232 57397944 70924848 76530592 94566464 114795888 141849696 153061184 229591776 231983357 283699392 459183552 463966714 695950071 927933428 1391900142 1855866856 2783800284 3711733712 5567600568 7423467424 11135201136 14846934848 22270402272 44540804544