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44021114120 = 2354328390437
BaseRepresentation
bin101000111111110111…
…001110010100001000
311012121220111022002002
4220333313032110020
51210123401122440
632120101130132
73115612203404
oct507767162410
9135556438062
1044021114120
111773a853655
1286466b9948
1341c7187529
1421b865a104
151229a2d115
hexa3fdce508

44021114120 has 64 divisors (see below), whose sum is σ = 101710192320. Its totient is φ = 17137983744.

The previous prime is 44021114099. The next prime is 44021114141. The reversal of 44021114120 is 2141112044.

It is an interprime number because it is at equal distance from previous prime (44021114099) and next prime (44021114141).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44021114092 and 44021114101.

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 15 ways as a sum of consecutive naturals, for example, 441542 + ... + 531978.

It is an arithmetic number, because the mean of its divisors is an integer number (1589221755).

Almost surely, 244021114120 is an apocalyptic number.

44021114120 is a gapful number since it is divisible by the number (40) 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 44021114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50855096160).

44021114120 is an abundant number, since it is smaller than the sum of its proper divisors (57689078200).

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

44021114120 is a wasteful number, since it uses less digits than its factorization.

44021114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90774 (or 90770 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 44021114120 its reverse (2141112044), we get a palindrome (46162226164).

The spelling of 44021114120 in words is "forty-four billion, twenty-one million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 283 344 430 566 860 1132 1415 1720 2264 2830 5660 11320 12169 24338 48676 60845 90437 97352 121690 180874 243380 361748 452185 486760 723496 904370 1808740 3617480 3888791 7777582 15555164 19443955 25593671 31110328 38887910 51187342 77775820 102374684 127968355 155551640 204749368 255936710 511873420 1023746840 1100527853 2201055706 4402111412 5502639265 8804222824 11005278530 22010557060 44021114120