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44742224744 = 2372927550631
BaseRepresentation
bin101001101010110110…
…000010101101101000
311021111011101111212222
4221222312002231220
51213113002142434
632315421053212
73142516430630
oct515266025550
9137434344788
1044742224744
1117a7a901748
1288080b7208
1342b06a86c9
14224632b6c0
15126cec072e
hexa6ad82b68

44742224744 has 32 divisors (see below), whose sum is σ = 99182275200. Its totient is φ = 18514023360.

The previous prime is 44742224713. The next prime is 44742224771.

44742224744 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44742224695 and 44742224704.

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 7 ways as a sum of consecutive naturals, for example, 13773692 + ... + 13776939.

It is an arithmetic number, because the mean of its divisors is an integer number (3099446100).

Almost surely, 244742224744 is an apocalyptic number.

It is an amenable number.

44742224744 is an abundant number, since it is smaller than the sum of its proper divisors (54440050456).

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

44742224744 is a wasteful number, since it uses less digits than its factorization.

44742224744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27550673 (or 27550669 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 44.

The spelling of 44742224744 in words is "forty-four billion, seven hundred forty-two million, two hundred twenty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 27550631 55101262 110202524 192854417 220405048 385708834 771417668 798968299 1542835336 1597936598 3195873196 5592778093 6391746392 11185556186 22371112372 44742224744