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44106517412804 = 22711314619450923
BaseRepresentation
bin10100000011101010110010…
…10011010111101111000100
312210011112122000220221002202
422001311121103113233010
521240120121424202204
6233450130540054032
712201406422112640
oct1201653123275704
9183145560827082
1044106517412804
1113065518252510
124b4417b534318
131b7c2c420c3c2
14ac6aa4293c20
155174a21a1e1e
hex281d594d7bc4

44106517412804 has 48 divisors (see below), whose sum is σ = 99336672669696. Its totient is φ = 16630023319200.

The previous prime is 44106517412779. The next prime is 44106517412819. The reversal of 44106517412804 is 40821471560144.

44106517412804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2309715914 + ... + 2309735009.

It is an arithmetic number, because the mean of its divisors is an integer number (2069514013952).

Almost surely, 244106517412804 is an apocalyptic number.

44106517412804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44106517412804 is an abundant number, since it is smaller than the sum of its proper divisors (55230155256892).

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

44106517412804 is a wasteful number, since it uses less digits than its factorization.

44106517412804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619450976 (or 4619450974 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

Adding to 44106517412804 its reverse (40821471560144), we get a palindrome (84927988972948).

The spelling of 44106517412804 in words is "forty-four trillion, one hundred six billion, five hundred seventeen million, four hundred twelve thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 4619450923 9238901846 18477803692 32336156461 50813960153 64672312922 101627920306 129344625844 143202978613 203255840612 286405957226 355697721071 572811914452 711395442142 1002420850291 1422790884284 1575232764743 2004841700582 3150465529486 4009683401164 6300931058972 11026629353201 22053258706402 44106517412804