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10444114013112 = 23321311158241467
BaseRepresentation
bin1001011111111011010110…
…1101001010101110111000
31100222110002021002200100200
42113332311231022232320
52332104021141404422
634113543145402200
72125363611230403
oct227766555125670
940873067080320
1010444114013112
1133673620a039a
121208180799360
135a9b4cc796b0
142816d8010d3a
15131a1e5ba2ac
hex97fb5b4abb8

10444114013112 has 48 divisors (see below), whose sum is σ = 30461999207640. Its totient is φ = 3213573542208.

The previous prime is 10444114013041. The next prime is 10444114013141. The reversal of 10444114013112 is 21131041144401.

10444114013112 is a `hidden beast` number, since 104 + 4 + 41 + 1 + 401 + 3 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5579119798 + ... + 5579121669.

Almost surely, 210444114013112 is an apocalyptic number.

10444114013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10444114013112 is an abundant number, since it is smaller than the sum of its proper divisors (20017885194528).

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

10444114013112 is a wasteful number, since it uses less digits than its factorization.

10444114013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158241492 (or 11158241485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10444114013112 its reverse (21131041144401), we get a palindrome (31575155157513).

The spelling of 10444114013112 in words is "ten trillion, four hundred forty-four billion, one hundred fourteen million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11158241467 22316482934 33474724401 44632965868 66949448802 89265931736 100424173203 133898897604 145057139071 200848346406 267797795208 290114278142 401696692812 435171417213 580228556284 803393385624 870342834426 1160457112568 1305514251639 1740685668852 2611028503278 3481371337704 5222057006556 10444114013112