Search a number
-
+
44411611444 = 221722361139197
BaseRepresentation
bin101001010111001000…
…110110100100110100
311020122010021121200221
4221113020312210310
51211423333031234
632222530544124
73131363316514
oct512710664464
9136563247627
1044411611444
1117920219012
128735438044
13425a04c735
142214469844
15124de65eb4
hexa57236934

44411611444 has 144 divisors (see below), whose sum is σ = 88640576640. Its totient is φ = 19422627840.

The previous prime is 44411611411. The next prime is 44411611459.

44411611444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 225439554 + ... + 225439750.

It is an arithmetic number, because the mean of its divisors is an integer number (615559560).

Almost surely, 244411611444 is an apocalyptic number.

It is an amenable number.

44411611444 is a deficient number, since it is larger than the sum of its proper divisors (44228965196).

44411611444 is a wasteful number, since it uses less digits than its factorization.

44411611444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The spelling of 44411611444 in words is "forty-four billion, four hundred eleven million, six hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 17 23 34 46 61 68 92 122 139 197 244 278 289 391 394 556 578 782 788 1037 1156 1403 1564 2074 2363 2806 3197 3349 4148 4531 4726 5612 6394 6647 6698 8479 9062 9452 12017 12788 13294 13396 16958 17629 18124 23851 24034 26588 27383 33916 35258 40171 47702 48068 54349 54766 56933 70516 77027 80342 95404 108698 109532 113866 144143 154054 160684 195017 204289 217396 227732 276391 288286 308108 390034 405467 408578 465511 552782 576572 629809 780068 810934 817156 923933 931022 1105564 1259618 1309459 1621868 1670363 1847866 1862044 2450431 2519236 2618918 3315289 3340726 3472913 3695732 4698647 4900862 5237836 6630578 6681452 6945826 7913687 9397294 9801724 10706753 13261156 13891652 15827374 18794588 21413506 28396171 31654748 38418349 42827012 56359913 56792342 76836698 79876999 112719826 113584684 153673396 159753998 182014801 225439652 319507996 364029602 482734907 653111933 728059204 965469814 1306223866 1930939628 2612447732 11102902861 22205805722 44411611444