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445113331104 = 253131231289733
BaseRepresentation
bin1100111101000101101…
…00100110110110100000
31120112220201021001002210
412132202310212312200
524243043003043404
6540252055242120
744105215613451
oct6364264466640
91515821231083
10445113331104
11161853964812
1272323679340
1332c87b7cac0
14177878d3128
15b8a2271689
hex67a2d26da0

445113331104 has 96 divisors (see below), whose sum is σ = 1259327672064. Its totient is φ = 136846218240.

The previous prime is 445113331049. The next prime is 445113331139. The reversal of 445113331104 is 401133311544.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1391422 + ... + 1681154.

It is an arithmetic number, because the mean of its divisors is an integer number (13117996584).

Almost surely, 2445113331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445113331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629663836032).

445113331104 is an abundant number, since it is smaller than the sum of its proper divisors (814214340960).

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

445113331104 is a wasteful number, since it uses less digits than its factorization.

445113331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290990 (or 290982 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 445113331104 its reverse (401133311544), we get a palindrome (846246642648).

The spelling of 445113331104 in words is "four hundred forty-five billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1231 1248 2462 3693 4924 7386 9848 14772 16003 19696 29544 32006 39392 48009 59088 64012 96018 118176 128024 192036 256048 289733 384072 512096 579466 768144 869199 1158932 1536288 1738398 2317864 3476796 3766529 4635728 6953592 7533058 9271456 11299587 13907184 15066116 22599174 27814368 30132232 45198348 60264464 90396696 120528928 180793392 356661323 361586784 713322646 1069983969 1426645292 2139967938 2853290584 4279935876 4636597199 5706581168 8559871752 9273194398 11413162336 13909791597 17119743504 18546388796 27819583194 34239487008 37092777592 55639166388 74185555184 111278332776 148371110368 222556665552 445113331104