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44455855444 = 22731121320599
BaseRepresentation
bin101001011001110001…
…101000010101010100
311020202012112110001121
4221121301220111110
51212021144333234
632231151133324
73132441352000
oct513161502524
9136665473047
1044455855444
1117943198200
128748214244
134266270c10
14221a2a5700
151252ca54b4
hexa59c68554

44455855444 has 144 divisors (see below), whose sum is σ = 107400160000. Its totient is φ = 15987343680.

The previous prime is 44455855421. The next prime is 44455855447.

44455855444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 44455855391 and 44455855400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44455855447) 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, 2147857 + ... + 2168455.

Almost surely, 244455855444 is an apocalyptic number.

44455855444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44455855444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53700080000).

44455855444 is an abundant number, since it is smaller than the sum of its proper divisors (62944304556).

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

44455855444 is a wasteful number, since it uses less digits than its factorization.

44455855444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20659 (or 20632 counting only the distinct ones).

The product of its digits is 20480000, while the sum is 52.

The spelling of 44455855444 in words is "forty-four billion, four hundred fifty-five million, eight hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 343 364 484 539 572 637 686 847 1001 1078 1274 1372 1573 1694 2002 2156 2548 3146 3388 3773 4004 4459 5929 6292 7007 7546 8918 11011 11858 14014 15092 17836 20599 22022 23716 28028 41198 41503 44044 49049 77077 82396 83006 98098 144193 154154 166012 196196 226589 267787 288386 308308 453178 535574 539539 576772 906356 1009351 1071148 1079078 1586123 1874509 2018702 2158156 2492479 2945657 3172246 3749018 4037404 4984958 5891314 6344492 7065457 7498036 9969916 11102861 11782628 13121563 14130914 17447353 20619599 22205722 26243126 28261828 32402227 34894706 41239198 44411444 52486252 64804454 69789412 77720027 82478396 91850941 122131471 129608908 144337193 155440054 183701882 226815589 244262942 288674386 310880108 367403764 453631178 488525884 577348772 854920297 907262356 1010360351 1587709123 1709840594 2020720702 3175418246 3419681188 4041441404 6350836492 11113963861 22227927722 44455855444