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44411050000 = 24556114561
BaseRepresentation
bin101001010111000110…
…101101100000010000
311020122002020002112201
4221113012231200100
51211423212100000
632222510532544
73131355460612
oct512706554020
9136562202481
1044411050000
111791a975209
128735207154
134259bb4015
142214360db2
15124dda496a
hexa571ad810

44411050000 has 120 divisors (see below), whose sum is σ = 109321768584. Its totient is φ = 17472000000.

The previous prime is 44411049971. The next prime is 44411050007. The reversal of 44411050000 is 5011444.

It can be written as a sum of positive squares in 12 ways, for example, as 44347305744 + 63744256 = 210588^2 + 7984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44411050000.

It is not an unprimeable number, because it can be changed into a prime (44411050007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3042720 + ... + 3057280.

Almost surely, 244411050000 is an apocalyptic number.

44411050000 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 44411050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54660884292).

44411050000 is an abundant number, since it is smaller than the sum of its proper divisors (64910718584).

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

44411050000 is an equidigital number, since it uses as much as digits as its factorization.

44411050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 44411050000 its reverse (5011444), we get a palindrome (44416061444).

The spelling of 44411050000 in words is "forty-four billion, four hundred eleven million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 3125 4880 5000 6100 6250 7625 10000 12200 12500 14561 15250 24400 25000 29122 30500 38125 50000 58244 61000 72805 76250 116488 122000 145610 152500 190625 232976 291220 305000 364025 381250 582440 610000 728050 762500 888221 1164880 1456100 1525000 1776442 1820125 2912200 3050000 3552884 3640250 4441105 5824400 7105768 7280500 8882210 9100625 14211536 14561000 17764420 18201250 22205525 29122000 35528840 36402500 44411050 45503125 71057680 72805000 88822100 91006250 111027625 145610000 177644200 182012500 222055250 355288400 364025000 444110500 555138125 728050000 888221000 1110276250 1776442000 2220552500 2775690625 4441105000 5551381250 8882210000 11102762500 22205525000 44411050000