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44413341642 = 23223793793583
BaseRepresentation
bin101001010111001111…
…011100111111001010
311020122020112112002100
4221113033130333022
51211424303413032
632223032014230
73131414114025
oct512717347712
9136566475070
1044413341642
111792119aa2a
128735b31376
13425a507117
14221479a1bc
15124e1a897c
hexa573dcfca

44413341642 has 96 divisors (see below), whose sum is σ = 101980569600. Its totient is φ = 13940742816.

The previous prime is 44413341629. The next prime is 44413341647. The reversal of 44413341642 is 24614331444.

44413341642 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 3 + 3 + 4 + 1 + 642 = 666.

It is a super-2 number, since 2×444133416422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44413341597 and 44413341606.

It is not an unprimeable number, because it can be changed into a prime (44413341647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12393783 + ... + 12397365.

It is an arithmetic number, because the mean of its divisors is an integer number (1062297600).

Almost surely, 244413341642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44413341642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50990284800).

44413341642 is an abundant number, since it is smaller than the sum of its proper divisors (57567227958).

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

44413341642 is a wasteful number, since it uses less digits than its factorization.

44413341642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4069 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 44413341642 in words is "forty-four billion, four hundred thirteen million, three hundred forty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 79 138 158 207 237 379 414 474 711 758 1137 1422 1817 2274 3411 3583 3634 5451 6822 7166 8717 10749 10902 16353 17434 21498 26151 29941 32247 32706 52302 59882 64494 78453 82409 89823 156906 164818 179646 247227 269469 283057 494454 538938 566114 688643 741681 849171 1357957 1377286 1483362 1698342 2065929 2547513 2715914 4073871 4131858 5095026 6197787 6510311 8147742 12221613 12395574 13020622 19530933 24443226 31233011 39061866 58592799 62466022 93699033 107278603 117185598 187398066 214557206 281097099 321835809 562194198 643671618 965507427 1931014854 2467407869 4934815738 7402223607 14804447214 22206670821 44413341642