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44838110416 = 2411316312917
BaseRepresentation
bin101001110000100011…
…110100010011010000
311021201211211000022011
4221300203310103100
51213312024013131
632333124152304
73145062435661
oct516043642320
9137654730264
1044838110416
1118019a43000
128834238694
1342c750b5a8
142254d6b368
1512766110b1
hexa708f44d0

44838110416 has 80 divisors (see below), whose sum is σ = 96148363968. Its totient is φ = 20254354560.

The previous prime is 44838110363. The next prime is 44838110459. The reversal of 44838110416 is 61401183844.

It is a super-2 number, since 2×448381104162 (a number of 22 digits) contains 22 as substring.

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, 3464790 + ... + 3477706.

Almost surely, 244838110416 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 44838110416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074181984).

44838110416 is an abundant number, since it is smaller than the sum of its proper divisors (51310253552).

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

44838110416 is a wasteful number, since it uses less digits than its factorization.

44838110416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 44838110416 in words is "forty-four billion, eight hundred thirty-eight million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 163 176 242 326 484 652 968 1304 1331 1793 1936 2608 2662 3586 5324 7172 10648 12917 14344 19723 21296 25834 28688 39446 51668 78892 103336 142087 157784 206672 216953 284174 315568 433906 568348 867812 1136696 1562957 1735624 2105471 2273392 3125914 3471248 4210942 6251828 8421884 12503656 16843768 17192527 23160181 25007312 33687536 34385054 46320362 68770108 92640724 137540216 185281448 254761991 275080432 370562896 509523982 1019047964 2038095928 2802381901 4076191856 5604763802 11209527604 22419055208 44838110416