Search a number
-
+
441166744765604 = 22111317145139312589
BaseRepresentation
bin110010001001111010010001…
…1000110111100010010100100
32010212001010110222022021221202
41210103310203012330102210
5430311033443124444404
64202141112112502032
7161632150125615104
oct14423644306742244
92125033428267852
10441166744765604
11118629847254a70
12415910a224a918
1315c21acb7ca810
147ad282775b204
153600b5d24d21e
hex1913d231bc4a4

441166744765604 has 96 divisors (see below), whose sum is σ = 960377609116800. Its totient is φ = 174214645032960.

The previous prime is 441166744765567. The next prime is 441166744765613. The reversal of 441166744765604 is 406567447661144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411175342 + ... + 1411487930.

It is an arithmetic number, because the mean of its divisors is an integer number (10003933428300).

Almost surely, 2441166744765604 is an apocalyptic number.

441166744765604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441166744765604 is an abundant number, since it is smaller than the sum of its proper divisors (519210864351196).

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

441166744765604 is a wasteful number, since it uses less digits than its factorization.

441166744765604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457773 (or 457771 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 65.

The spelling of 441166744765604 in words is "four hundred forty-one trillion, one hundred sixty-six billion, seven hundred forty-four million, seven hundred sixty-five thousand, six hundred four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 884 2431 4862 9724 145139 290278 312589 580556 625178 1250356 1596529 1886807 2467363 3193058 3438479 3773614 4063657 4934726 5314013 6386116 6876958 7547228 8127314 9869452 10628026 13753916 16254628 20754877 21256052 27140993 32075719 41509754 44700227 54281986 58454143 64151438 69082169 83019508 89400454 108563972 116908286 128302876 138164338 178800908 233816572 276328676 352832909 705665818 759903859 1411331636 1519807718 3039615436 45368854871 90737709742 181475419484 499057403581 589795113323 771270532807 998114807162 1179590226646 1542541065614 1996229614324 2359180453292 3085082131228 6487746246553 8483975860877 10026516926491 12975492493106 16967951721754 20053033852982 25950984986212 33935903443508 40106067705964 110291686191401 220583372382802 441166744765604