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4444444370704 = 2413353574910529
BaseRepresentation
bin100000010101100110110…
…0001110010011100010000
3120201212212222012000212211
41000223031201302130100
51040304210224330304
613241425523201504
7636046321553662
oct100531541623420
916655788160784
104444444370704
111463972a87548
125b9443516294
132631561b6380
14115180058532
157a92463b204
hex40acd872710

4444444370704 has 80 divisors (see below), whose sum is σ = 9302275710000. Its totient is φ = 2044920987648.

The previous prime is 4444444370701. The next prime is 4444444370749. The reversal of 4444444370704 is 4070734444444.

It can be written as a sum of positive squares in 8 ways, for example, as 684180431104 + 3760263939600 = 827152^2 + 1939140^2 .

It is not an unprimeable number, because it can be changed into a prime (4444444370701) by changing a digit.

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, 422109312 + ... + 422119840.

It is an arithmetic number, because the mean of its divisors is an integer number (116278446375).

Almost surely, 24444444370704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444444370704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651137855000).

4444444370704 is an abundant number, since it is smaller than the sum of its proper divisors (4857831339296).

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

4444444370704 is a wasteful number, since it uses less digits than its factorization.

4444444370704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652 (or 16646 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 49.

The spelling of 4444444370704 in words is "four trillion, four hundred forty-four billion, four hundred forty-four million, three hundred seventy thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1412 2824 4589 5648 5749 9178 10529 11498 18356 21058 22996 36712 42116 45992 73424 74737 84232 91984 136877 149474 168464 273754 298948 547508 597896 1095016 1195792 2029397 2190032 3716737 4058794 7433474 8117588 14866948 16235176 26382161 29733896 32470352 48317581 52764322 59467792 60531221 96635162 105528644 121062442 193270324 211057288 242124884 386540648 422114576 484249768 773081296 786905873 968499536 1573811746 3147623492 6295246984 12590493968 21367521013 42735042026 85470084052 170940168104 277777773169 341880336208 555555546338 1111111092676 2222222185352 4444444370704