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44812840400 = 2452846113241
BaseRepresentation
bin101001101111000011…
…011010110111010000
311021200002021011100122
4221233003122313100
51213234041343100
632330422405412
73144334600316
oct515703326720
9137602234318
1044812840400
1118006753299
128827890868
1342c2201513
1422518700b6
1512742bd985
hexa6f0dadd0

44812840400 has 60 divisors (see below), whose sum is σ = 107683705644. Its totient is φ = 17921664000.

The previous prime is 44812840379. The next prime is 44812840427. The reversal of 44812840400 is 404821844.

It can be written as a sum of positive squares in 6 ways, for example, as 6817474624 + 37995365776 = 82568^2 + 194924^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3377780 + ... + 3391020.

Almost surely, 244812840400 is an apocalyptic number.

44812840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44812840400 is an abundant number, since it is smaller than the sum of its proper divisors (62870865244).

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

44812840400 is a wasteful number, since it uses less digits than its factorization.

44812840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21720 (or 21709 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The spelling of 44812840400 in words is "forty-four billion, eight hundred twelve million, eight hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8461 13241 16922 26482 33844 42305 52964 66205 67688 84610 105928 132410 135376 169220 211525 211856 264820 331025 338440 423050 529640 662050 676880 846100 1059280 1324100 1692200 2648200 3384400 5296400 112032101 224064202 448128404 560160505 896256808 1120321010 1792513616 2240642020 2800802525 4481284040 5601605050 8962568080 11203210100 22406420200 44812840400