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44110301140 = 22523313738293
BaseRepresentation
bin101001000101001011…
…011100011111010100
311012212010022110200001
4221011023130133110
51210314214114030
632133004501044
73121044242023
oct510513343724
9135763273601
1044110301140
111778612a134
12867054a784
13420c7b3409
1421c64348ba
151232798cca
hexa452dc7d4

44110301140 has 96 divisors (see below), whose sum is σ = 100056692736. Its totient is φ = 16286814720.

The previous prime is 44110301107. The next prime is 44110301161. The reversal of 44110301140 is 4110301144.

44110301140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441103011402 (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 31 ways as a sum of consecutive naturals, for example, 5314834 + ... + 5323126.

It is an arithmetic number, because the mean of its divisors is an integer number (1042257216).

Almost surely, 244110301140 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 44110301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50028346368).

44110301140 is an abundant number, since it is smaller than the sum of its proper divisors (55946391596).

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

44110301140 is a wasteful number, since it uses less digits than its factorization.

44110301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 44110301140 its reverse (4110301144), we get a palindrome (48220602284).

The spelling of 44110301140 in words is "forty-four billion, one hundred ten million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 373 460 620 713 746 1426 1492 1865 2852 3565 3730 7130 7460 8293 8579 11563 14260 16586 17158 23126 33172 34316 41465 42895 46252 57815 82930 85790 115630 165860 171580 190739 231260 257083 265949 381478 514166 531898 762956 953695 1028332 1063796 1285415 1329745 1907390 2570830 2659490 3093289 3814780 5141660 5318980 5912909 6186578 11825818 12373156 15466445 23651636 29564545 30932890 59129090 61865780 71145647 95891959 118258180 142291294 191783918 284582588 355728235 383567836 479459795 711456470 958919590 1422912940 1917839180 2205515057 4411030114 8822060228 11027575285 22055150570 44110301140