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444107000711 = 11219316231419
BaseRepresentation
bin1100111011001101101…
…01110000101110000111
31120110022120200011022202
412131212311300232013
524234012343010321
6540004150145115
744041246135553
oct6354665605607
91513276604282
10444107000711
11161387907900
12720a265219b
1332b5753742a
14176cddb8863
15b843c3e70b
hex6766d70b87

444107000711 has 24 divisors (see below), whose sum is σ = 530418470400. Its totient is φ = 370146229200.

The previous prime is 444107000681. The next prime is 444107000731. The reversal of 444107000711 is 117000701444.

It is not a de Polignac number, because 444107000711 - 218 = 444106738567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444107000731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3044441 + ... + 3186978.

It is an arithmetic number, because the mean of its divisors is an integer number (22100769600).

Almost surely, 2444107000711 is an apocalyptic number.

444107000711 is a deficient number, since it is larger than the sum of its proper divisors (86311469689).

444107000711 is a wasteful number, since it uses less digits than its factorization.

444107000711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231491 (or 6231480 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 444107000711 in words is "four hundred forty-four billion, one hundred seven million, seven hundred eleven", and thus it is an aban number.

Divisors: 1 11 19 31 121 209 341 589 2299 3751 6479 71269 6231419 68545609 118396961 193173989 754001699 1302366571 2124913879 3670305791 14326032281 23374052669 40373363701 444107000711