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44114122314 = 2352333111923
BaseRepresentation
bin101001000101011010…
…000001011001001010
311012212101111121100000
4221011122001121022
51210321203403224
632133222423430
73121121565333
oct510532013112
9135771447300
1044114122314
11177882aa029
128671891b76
134210520772
1421c6b4b28a
151232ca10c9
hexa4568164a

44114122314 has 96 divisors (see below), whose sum is σ = 103751391744. Its totient is φ = 14021702640.

The previous prime is 44114122277. The next prime is 44114122331. The reversal of 44114122314 is 41322141144.

44114122314 is a `hidden beast` number, since 4 + 4 + 11 + 412 + 231 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3693957 + ... + 3705879.

It is an arithmetic number, because the mean of its divisors is an integer number (1080743664).

Almost surely, 244114122314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44114122314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51875695872).

44114122314 is an abundant number, since it is smaller than the sum of its proper divisors (59637269430).

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

44114122314 is a wasteful number, since it uses less digits than its factorization.

44114122314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 12282 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 44114122314 its reverse (41322141144), we get a palindrome (85436263458).

The spelling of 44114122314 in words is "forty-four billion, one hundred fourteen million, one hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 331 414 486 621 662 993 1242 1863 1986 2979 3726 5589 5958 7613 8937 11178 11923 15226 17874 22839 23846 26811 35769 45678 53622 68517 71538 80433 107307 137034 160866 205551 214614 274229 321921 411102 548458 616653 643842 822687 965763 1233306 1645374 1849959 1931526 2468061 2897289 3699918 3946513 4936122 5794578 7404183 7893026 11839539 14808366 22212549 23679078 35518617 44425098 66637647 71037234 90769799 106555851 133275294 181539598 213111702 272309397 319667553 544618794 639335106 816928191 959002659 1633856382 1918005318 2450784573 4901569146 7352353719 14704707438 22057061157 44114122314