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44407402368 = 273737446503
BaseRepresentation
bin101001010110111000…
…110010111110000000
311020121211100202221020
4221112320302332000
51211421243333433
632222300425440
73131312456250
oct512670627600
9136554322836
1044407402368
111791890373a
128733b48280
134259207964
142213a91960
15124d8d3cb3
hexa56e32f80

44407402368 has 128 divisors (see below), whose sum is σ = 138451960320. Its totient is φ = 12344887296.

The previous prime is 44407402279. The next prime is 44407402379. The reversal of 44407402368 is 86320470444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 123796 + ... + 322707.

It is an arithmetic number, because the mean of its divisors is an integer number (1081655940).

Almost surely, 244407402368 is an apocalyptic number.

44407402368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44407402368 is an abundant number, since it is smaller than the sum of its proper divisors (94044557952).

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

44407402368 is a wasteful number, since it uses less digits than its factorization.

44407402368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446564 (or 446552 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 44407402368 in words is "forty-four billion, four hundred seven million, four hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 259 296 336 384 444 448 518 592 672 777 888 896 1036 1184 1344 1554 1776 2072 2368 2688 3108 3552 4144 4736 6216 7104 8288 12432 14208 16576 24864 33152 49728 99456 446503 893006 1339509 1786012 2679018 3125521 3572024 5358036 6251042 7144048 9376563 10716072 12502084 14288096 16520611 18753126 21432144 25004168 28576192 33041222 37506252 42864288 49561833 50008336 57152384 66082444 75012504 85728576 99123666 100016672 115644277 132164888 150025008 171457152 198247332 200033344 231288554 264329776 300050016 346932831 396494664 400066688 462577108 528659552 600100032 693865662 792989328 925154216 1057319104 1200200064 1387731324 1585978656 1850308432 2114638208 2775462648 3171957312 3700616864 5550925296 6343914624 7401233728 11101850592 14802467456 22203701184 44407402368