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44106313741744 = 2417198995893297
BaseRepresentation
bin10100000011101010011010…
…01010011011010110110000
312210011112002211200100221011
422001311031022123112300
521240114212304213434
6233450054422440304
712201401366665522
oct1201651512332660
9183145084610834
1044106313741744
1113065423292421
124b44123293094
131b7c290c6b197
14ac6a851d7a12
1551748e36ee64
hex281d4d29b5b0

44106313741744 has 80 divisors (see below), whose sum is σ = 96315228511200. Its totient is φ = 19442557550592.

The previous prime is 44106313741741. The next prime is 44106313741793. The reversal of 44106313741744 is 44714731360144.

It is not an unprimeable number, because it can be changed into a prime (44106313741741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47486697 + ... + 48406600.

It is an arithmetic number, because the mean of its divisors is an integer number (1203940356390).

Almost surely, 244106313741744 is an apocalyptic number.

It is an amenable number.

44106313741744 is an abundant number, since it is smaller than the sum of its proper divisors (52208914769456).

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

44106313741744 is a wasteful number, since it uses less digits than its factorization.

44106313741744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95893430 (or 95893424 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 44106313741744 in words is "forty-four trillion, one hundred six billion, three hundred thirteen million, seven hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 89 136 152 178 272 304 323 356 646 712 1292 1424 1513 1691 2584 3026 3382 5168 6052 6764 12104 13528 24208 27056 28747 57494 114988 229976 459952 95893297 191786594 383573188 767146376 1534292752 1630186049 1821972643 3260372098 3643945286 6520744196 7287890572 8534503433 13041488392 14575781144 17069006866 26082976784 29151562288 30973534931 34138013732 61947069862 68276027464 123894139724 136552054928 145086558361 162155565227 247788279448 290173116722 324311130454 495576558896 580346233444 648622260908 1160692466888 1297244521816 2321384933776 2594489043632 2756644608859 5513289217718 11026578435436 22053156870872 44106313741744