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44444300352 = 2631391918719
BaseRepresentation
bin101001011001000101…
…100011010001000000
311020201101210101110020
4221121011203101000
51212010220102402
632230055333440
73132241214454
oct513105432100
9136641711406
1044444300352
1117937715741
128744381280
134263a5659a
142218938664
151251c718bc
hexa59163440

44444300352 has 112 divisors (see below), whose sum is σ = 119071948800. Its totient is φ = 14629501440.

The previous prime is 44444300347. The next prime is 44444300363. The reversal of 44444300352 is 25300344444.

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 15 ways as a sum of consecutive naturals, for example, 5093049 + ... + 5101767.

It is an arithmetic number, because the mean of its divisors is an integer number (1063142400).

Almost surely, 244444300352 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 44444300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535974400).

44444300352 is an abundant number, since it is smaller than the sum of its proper divisors (74627648448).

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

44444300352 is a wasteful number, since it uses less digits than its factorization.

44444300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 44444300352 its reverse (25300344444), we get a palindrome (69744644796).

The spelling of 44444300352 in words is "forty-four billion, four hundred forty-four million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 191 192 278 382 417 556 573 764 834 1112 1146 1528 1668 2224 2292 3056 3336 4448 4584 6112 6672 8719 8896 9168 12224 13344 17438 18336 26157 26549 26688 34876 36672 52314 53098 69752 79647 104628 106196 139504 159294 209256 212392 279008 318588 418512 424784 558016 637176 837024 849568 1211941 1274352 1665329 1674048 1699136 2423882 2548704 3330658 3635823 4847764 4995987 5097408 6661316 7271646 9695528 9991974 13322632 14543292 19391056 19983948 26645264 29086584 38782112 39967896 53290528 58173168 77564224 79935792 106581056 116346336 159871584 231480731 232692672 319743168 462961462 694442193 925922924 1388884386 1851845848 2777768772 3703691696 5555537544 7407383392 11111075088 14814766784 22222150176 44444300352