Search a number
-
+
641217144 = 2332931113263
BaseRepresentation
bin100110001110000…
…011001001111000
31122200120012120010
4212032003021320
52303122422034
6143343301520
721614153511
oct4616031170
91580505503
10641217144
112a9a4aa27
1215a8aa8a0
13a2aca439
1461235a08
153b4603e9
hex26383278

641217144 has 128 divisors (see below), whose sum is σ = 1733529600. Its totient is φ = 197191680.

The previous prime is 641217107. The next prime is 641217151. The reversal of 641217144 is 441712146.

It is a super-2 number, since 2×6412171442 = 822318851519033472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437957 + ... + 2438219.

It is an arithmetic number, because the mean of its divisors is an integer number (13543200).

Almost surely, 2641217144 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 641217144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866764800).

641217144 is an abundant number, since it is smaller than the sum of its proper divisors (1092312456).

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

641217144 is a wasteful number, since it uses less digits than its factorization.

641217144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 641217144 is about 25322.2657754001. The cubic root of 641217144 is about 862.3198336555.

The spelling of 641217144 in words is "six hundred forty-one million, two hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 113 116 124 174 186 226 232 248 263 339 348 372 452 526 678 696 744 789 899 904 1052 1356 1578 1798 2104 2697 2712 3156 3277 3503 3596 5394 6312 6554 7006 7192 7627 8153 9831 10509 10788 13108 14012 15254 16306 19662 21018 21576 22881 24459 26216 28024 29719 30508 32612 39324 42036 45762 48918 59438 61016 65224 78648 84072 89157 91524 97836 101587 118876 178314 183048 195672 203174 236437 237752 304761 356628 406348 472874 609522 709311 713256 812696 861851 921289 945748 1219044 1418622 1723702 1842578 1891496 2438088 2585553 2763867 2837244 3447404 3685156 5171106 5527734 5674488 6894808 7370312 10342212 11055468 20684424 22110936 26717381 53434762 80152143 106869524 160304286 213739048 320608572 641217144