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44355544640 = 2651127745491
BaseRepresentation
bin101001010011110010…
…111110011001000000
311020111012210010111122
4221103302332121000
51211320004412030
632213205131412
73130112623451
oct512362763100
9136435703448
1044355544640
11178a1604210
12871a6b9b68
13424b54bb04
14220ac33128
15124908d8e5
hexa53cbe640

44355544640 has 112 divisors (see below), whose sum is σ = 115642119744. Its totient is φ = 16070707200.

The previous prime is 44355544603. The next prime is 44355544661. The reversal of 44355544640 is 4644555344.

It is a super-2 number, since 2×443555446402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44355544591 and 44355544600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952295 + ... + 997785.

Almost surely, 244355544640 is an apocalyptic number.

44355544640 is a gapful number since it is divisible by the number (40) 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 44355544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57821059872).

44355544640 is an abundant number, since it is smaller than the sum of its proper divisors (71286575104).

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

44355544640 is a wasteful number, since it uses less digits than its factorization.

44355544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45796 (or 45786 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

The spelling of 44355544640 in words is "forty-four billion, three hundred fifty-five million, five hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 277 320 352 440 554 704 880 1108 1385 1760 2216 2770 3047 3520 4432 5540 6094 8864 11080 12188 15235 17728 22160 24376 30470 44320 45491 48752 60940 88640 90982 97504 121880 181964 195008 227455 243760 363928 454910 487520 500401 727856 909820 975040 1000802 1455712 1819640 2001604 2502005 2911424 3639280 4003208 5004010 7278560 8006416 10008020 12601007 14557120 16012832 20016040 25202014 32025664 40032080 50404028 63005035 80064160 100808056 126010070 138611077 160128320 201616112 252020140 277222154 403232224 504040280 554444308 693055385 806464448 1008080560 1108888616 1386110770 2016161120 2217777232 2772221540 4032322240 4435554464 5544443080 8871108928 11088886160 22177772320 44355544640