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44240433424 = 24111092399649
BaseRepresentation
bin101001001100111011…
…110111000100010000
311020012012011212121021
4221030323313010100
51211101022332144
632153534005224
73124214323315
oct511473670420
9136165155537
1044240433424
1117842631480
1286a8046814
134230747175
1421d982ad0c
15123de01884
hexa4cef7110

44240433424 has 80 divisors (see below), whose sum is σ = 94770720000. Its totient is φ = 19839375360.

The previous prime is 44240433421. The next prime is 44240433439. The reversal of 44240433424 is 42433404244.

It is a self number, because there is not a number n which added to its sum of digits gives 44240433424.

It is not an unprimeable number, because it can be changed into a prime (44240433421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4580152 + ... + 4589800.

It is an arithmetic number, because the mean of its divisors is an integer number (1184634000).

Almost surely, 244240433424 is an apocalyptic number.

44240433424 is a gapful number since it is divisible by the number (44) 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 44240433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47385360000).

44240433424 is an abundant number, since it is smaller than the sum of its proper divisors (50530286576).

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

44240433424 is a wasteful number, since it uses less digits than its factorization.

44240433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 44240433424 its reverse (42433404244), we get a palindrome (86673837668).

The spelling of 44240433424 in words is "forty-four billion, two hundred forty million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 239 436 478 872 956 1199 1744 1912 2398 2629 3824 4796 5258 9592 9649 10516 19184 19298 21032 26051 38596 42064 52102 77192 104204 106139 154384 208408 212278 286561 416816 424556 573122 849112 1051741 1146244 1698224 2103482 2292488 2306111 4206964 4584976 4612222 8413928 9224444 11569151 16827856 18448888 23138302 25367221 36897776 46276604 50734442 92553208 101468884 185106416 202937768 251366099 405875536 502732198 1005464396 2010928792 2765027089 4021857584 5530054178 11060108356 22120216712 44240433424