Search a number
-
+
45220263240 = 23352714792903
BaseRepresentation
bin101010000111010101…
…100111010101001000
311022201110220101102110
4222013111213111020
51220102341410430
632435055102320
73160412616105
oct520725472510
9138643811373
1045220263240
11181a5729089
1289202119a0
134358741619
14228da07aac
151299e4b7b0
hexa87567548

45220263240 has 128 divisors (see below), whose sum is σ = 136492646400. Its totient is φ = 11985027840.

The previous prime is 45220263229. The next prime is 45220263259. The reversal of 45220263240 is 4236202254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45220263198 and 45220263207.

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 31 ways as a sum of consecutive naturals, for example, 15575629 + ... + 15578531.

It is an arithmetic number, because the mean of its divisors is an integer number (1066348800).

Almost surely, 245220263240 is an apocalyptic number.

45220263240 is a gapful number since it is divisible by the number (40) 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 45220263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68246323200).

45220263240 is an abundant number, since it is smaller than the sum of its proper divisors (91272383160).

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

45220263240 is a wasteful number, since it uses less digits than its factorization.

45220263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45220263240 its reverse (4236202254), we get a palindrome (49456465494).

The spelling of 45220263240 in words is "forty-five billion, two hundred twenty million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 479 542 813 958 1084 1355 1437 1626 1916 2168 2395 2710 2874 2903 3252 3832 4065 4790 5420 5748 5806 6504 7185 8130 8709 9580 10840 11496 11612 14370 14515 16260 17418 19160 23224 28740 29030 32520 34836 43545 57480 58060 69672 87090 116120 129809 174180 259618 348360 389427 519236 649045 778854 786713 1038472 1298090 1390537 1557708 1573426 1947135 2360139 2596180 2781074 3115416 3146852 3894270 3933565 4171611 4720278 5192360 5562148 6293704 6952685 7788540 7867130 8343222 9440556 11124296 11800695 13905370 15577080 15734260 16686444 18881112 20858055 23601390 27810740 31468520 33372888 41716110 47202780 55621480 83432220 94405560 166864440 376835527 753671054 1130506581 1507342108 1884177635 2261013162 3014684216 3768355270 4522026324 5652532905 7536710540 9044052648 11305065810 15073421080 22610131620 45220263240