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44240302441000 = 2353617127756149
BaseRepresentation
bin10100000111100011111111…
…00000110000001000101000
312210122022221202001112022001
422003301333200300020220
521244313114411103000
6234031414145340344
712214153636101631
oct1203617740601050
9183568852045261
1044240302441000
1113107230427316
124b660979376b4
131b8bac5308793
14acd356314888
1551abd247546a
hex283c7f830228

44240302441000 has 128 divisors (see below), whose sum is σ = 103773137364000. Its totient is φ = 17653290547200.

The previous prime is 44240302440953. The next prime is 44240302441003. The reversal of 44240302441000 is 14420304244.

It can be written as a sum of positive squares in 16 ways, for example, as 3628971660196 + 40611330780804 = 1904986^2 + 6372702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44240302441000.

It is not an unprimeable number, because it can be changed into a prime (44240302441003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787880926 + ... + 787937074.

Almost surely, 244240302441000 is an apocalyptic number.

44240302441000 is a gapful number since it is divisible by the number (40) 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 44240302441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51886568682000).

44240302441000 is an abundant number, since it is smaller than the sum of its proper divisors (59532834923000).

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

44240302441000 is a wasteful number, since it uses less digits than its factorization.

44240302441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58064 (or 58050 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44240302441000 its reverse (14420304244), we get a palindrome (44254722745244).

The spelling of 44240302441000 in words is "forty-four trillion, two hundred forty billion, three hundred two million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 617 1000 1234 1277 2468 2554 3085 4936 5108 6170 6385 10216 12340 12770 15425 24680 25540 30850 31925 51080 56149 61700 63850 77125 112298 123400 127700 154250 159625 224596 255400 280745 308500 319250 449192 561490 617000 638500 787909 1122980 1277000 1403725 1575818 2245960 2807450 3151636 3939545 5614900 6303272 7018625 7879090 11229800 14037250 15758180 19697725 28074500 31516360 34643933 39395450 56149000 69287866 71702273 78790900 98488625 138575732 143404546 157581800 173219665 196977250 277151464 286809092 346439330 358511365 393954500 573618184 692878660 717022730 787909000 866098325 1385757320 1434045460 1732196650 1792556825 2868090920 3464393300 3585113650 4330491625 6928786600 7170227300 8660983250 8962784125 14340454600 17321966500 17925568250 34643933000 35851136500 44240302441 71702273000 88480604882 176961209764 221201512205 353922419528 442403024410 884806048820 1106007561025 1769612097640 2212015122050 4424030244100 5530037805125 8848060488200 11060075610250 22120151220500 44240302441000