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44202416104 = 23711252312473
BaseRepresentation
bin101001001010101010…
…110101011111101000
311020002112122101122101
4221022222311133220
51211011304303404
632150055103144
73123243223540
oct511252653750
9136075571571
1044202416104
1117823125500
128697371ab4
1342258c5c02
1421d4772320
15123a8e22a4
hexa4aab57e8

44202416104 has 96 divisors (see below), whose sum is σ = 104320560960. Its totient is φ = 17187413760.

The previous prime is 44202416081. The next prime is 44202416119. The reversal of 44202416104 is 40161420244.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 3537612 + ... + 3550084.

It is an arithmetic number, because the mean of its divisors is an integer number (1086672510).

Almost surely, 244202416104 is an apocalyptic number.

44202416104 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 44202416104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52160280480).

44202416104 is an abundant number, since it is smaller than the sum of its proper divisors (60118144856).

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

44202416104 is a wasteful number, since it uses less digits than its factorization.

44202416104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13016 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 44202416104 its reverse (40161420244), we get a palindrome (84363836348).

The spelling of 44202416104 in words is "forty-four billion, two hundred two million, four hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 523 616 847 968 1046 1694 2092 3388 3661 4184 5753 6776 7322 11506 12473 14644 23012 24946 29288 40271 46024 49892 63283 80542 87311 99784 126566 137203 161084 174622 253132 274406 322168 349244 442981 506264 548812 698488 885962 960421 1097624 1509233 1771924 1920842 3018466 3543848 3841684 6036932 6523379 7683368 10564631 12073864 13046758 21129262 26093516 42258524 45663653 52187032 71757169 84517048 91327306 143514338 182654612 287028676 365309224 502300183 574057352 789328859 1004600366 1578657718 2009200732 3157315436 4018401464 5525302013 6314630872 11050604026 22101208052 44202416104