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4425112344416 = 254131118315923
BaseRepresentation
bin100000001100100110100…
…1111111101011101100000
3120200000222200120100022012
41000121031033331131200
51040000112230010131
613224511334532052
7634463260213211
oct100311517753540
916600880510265
104425112344416
111456752613015
125b5749207028
1326139501676a
14114268771408
157a19236852b
hex4064d3fd760

4425112344416 has 96 divisors (see below), whose sum is σ = 8959524327936. Its totient is φ = 2150112384000.

The previous prime is 4425112344391. The next prime is 4425112344421. The reversal of 4425112344416 is 6144432115244.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747103631 + ... + 747109553.

It is an arithmetic number, because the mean of its divisors is an integer number (93328378416).

Almost surely, 24425112344416 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 4425112344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479762163968).

4425112344416 is an abundant number, since it is smaller than the sum of its proper divisors (4534411983520).

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

4425112344416 is a wasteful number, since it uses less digits than its factorization.

4425112344416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8108 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The spelling of 4425112344416 in words is "four trillion, four hundred twenty-five billion, one hundred twelve million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 164 311 328 622 656 1244 1312 1831 2488 3662 4976 5923 7324 9952 11846 12751 14648 23692 25502 29296 47384 51004 58592 75071 94768 102008 150142 189536 204016 242843 300284 408032 485686 569441 600568 971372 1138882 1201136 1842053 1942744 2277764 2402272 3684106 3885488 4555528 7368212 7770976 9111056 10845013 14736424 18222112 21690026 23347081 29472848 43380052 46694162 58945696 75524173 86760104 93388324 151048346 173520208 186776648 302096692 347040416 373553296 444645533 604193384 747106592 889291066 1208386768 1778582132 2416773536 3372799043 3557164264 6745598086 7114328528 13491196172 14228657056 26982392344 53964784688 107929569376 138284760763 276569521526 553139043052 1106278086104 2212556172208 4425112344416