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44465313424 = 24721724432
BaseRepresentation
bin101001011010010101…
…101101011010010000
311020202212022221222011
4221122111231122100
51212031110012144
632232125552304
73132614633200
oct513225553220
9136685287864
1044465313424
1117948568114
12874b415694
134268202b5c
14221b648400
151253a22a34
hexa5a56d690

44465313424 has 135 divisors (see below), whose sum is σ = 106699855017. Its totient is φ = 17895101952.

The previous prime is 44465313397. The next prime is 44465313433. The reversal of 44465313424 is 42431356444.

The square root of 44465313424 is 210868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34618323600 + 9846989824 = 186060^2 + 99232^2 .

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 26 ways as a sum of consecutive naturals, for example, 100372947 + ... + 100373389.

Almost surely, 244465313424 is an apocalyptic number.

44465313424 is the 210868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44465313424

44465313424 is an abundant number, since it is smaller than the sum of its proper divisors (62234541593).

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

44465313424 is an equidigital number, since it uses as much as digits as its factorization.

44465313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 469 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

Adding to 44465313424 its reverse (42431356444), we get a palindrome (86896669868).

The spelling of 44465313424 in words is "forty-four billion, four hundred sixty-five million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 289 392 443 476 578 784 833 886 952 1156 1666 1772 1904 2023 2312 3101 3332 3544 4046 4624 6202 6664 7088 7531 8092 12404 13328 14161 15062 16184 21707 24808 28322 30124 32368 43414 49616 52717 56644 60248 86828 105434 113288 120496 128027 173656 196249 210868 226576 256054 347312 369019 392498 421736 512108 738038 784996 843472 896189 1024216 1373743 1476076 1569992 1792378 2048432 2747486 2952152 3139984 3336233 3584756 5494972 5904304 6273323 6672466 7169512 9616201 10989944 12546646 13344932 14339024 19232402 21979888 23353631 25093292 26689864 38464804 46707262 50186584 53379728 56715961 76929608 93414524 100373168 113431922 153859216 163475417 186829048 226863844 326950834 373658096 397011727 453727688 653901668 794023454 907455376 1307803336 1588046908 2615606672 2779082089 3176093816 5558164178 6352187632 11116328356 22232656712 44465313424