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44404918355712 = 283313299565361
BaseRepresentation
bin10100001100010110100110…
…11000101000011100000000
312211020001212002221102220010
422012023103120220130000
521310012233044340322
6234235200551544520
712232102162223265
oct1206132330503400
9184201762842803
1044404918355712
1113170024861522
124b91b7938b140
131ba149a975485
14ad72d0ca926c
1552011929b20c
hex2862d3628700

44404918355712 has 144 divisors (see below), whose sum is σ = 122031352396800. Its totient is φ = 14319799910400.

The previous prime is 44404918355671. The next prime is 44404918355719. The reversal of 44404918355712 is 21755381940444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404918355719) 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, 78259912 + ... + 78825272.

It is an arithmetic number, because the mean of its divisors is an integer number (847439947200).

Almost surely, 244404918355712 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 44404918355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61015676198400).

44404918355712 is an abundant number, since it is smaller than the sum of its proper divisors (77626434041088).

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

44404918355712 is a wasteful number, since it uses less digits than its factorization.

44404918355712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568710 (or 568696 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 44404918355712 in words is "forty-four trillion, four hundred four billion, nine hundred eighteen million, three hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3299 3968 5952 6598 7936 9897 11904 13196 19794 23808 26392 39588 52784 79176 102269 105568 158352 204538 211136 306807 316704 409076 422272 565361 613614 633408 818152 844544 1130722 1227228 1266816 1636304 1696083 2261444 2454456 2533632 3272608 3392166 4522888 4908912 6545216 6784332 9045776 9817824 13090432 13568664 17526191 18091552 19635648 26180864 27137328 35052382 36183104 39271296 52578573 54274656 70104764 72366208 78542592 105157146 108549312 140209528 144732416 210314292 217098624 280419056 420628584 434197248 560838112 841257168 1121676224 1682514336 1865125939 2243352448 3365028672 3730251878 4486704896 5595377817 6730057344 7460503756 11190755634 13460114688 14921007512 22381511268 29842015024 44763022536 57818904109 59684030048 89526045072 115637808218 119368060096 173456712327 179052090144 231275616436 238736120192 346913424654 358104180288 462551232872 477472240384 693826849308 716208360576 925102465744 1387653698616 1432416721152 1850204931488 2775307397232 3700409862976 5550614794464 7400819725952 11101229588928 14801639451904 22202459177856 44404918355712