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44011241244 = 22332330757713
BaseRepresentation
bin101000111111010001…
…100011111100011100
311012121012220201001000
4220333101203330130
51210113334204434
632115105350300
73115432243455
oct507721437434
9135535821030
1044011241244
111773521aa53
128643338390
1341c510b7a9
1421b720a12c
151228c2cb99
hexa3f463f1c

44011241244 has 96 divisors (see below), whose sum is σ = 119454128640. Its totient is φ = 13986618624.

The previous prime is 44011241237. The next prime is 44011241297. The reversal of 44011241244 is 44214211044.

It is a happy number.

44011241244 is a `hidden beast` number, since 4 + 401 + 12 + 4 + 1 + 244 = 666.

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

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, 733732 + ... + 791444.

It is an arithmetic number, because the mean of its divisors is an integer number (1244313840).

Almost surely, 244011241244 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 44011241244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59727064320).

44011241244 is an abundant number, since it is smaller than the sum of its proper divisors (75442887396).

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

44011241244 is a wasteful number, since it uses less digits than its factorization.

44011241244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58056 (or 58048 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44011241244 its reverse (44214211044), we get a palindrome (88225452288).

The spelling of 44011241244 in words is "forty-four billion, eleven million, two hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 307 414 614 621 828 921 1228 1242 1842 2484 2763 3684 5526 7061 8289 11052 14122 16578 21183 28244 33156 42366 57713 63549 84732 115426 127098 173139 190647 230852 254196 346278 381294 519417 692556 762588 1038834 1327399 1558251 2077668 2654798 3116502 3982197 5309596 6233004 7964394 11946591 15928788 17717891 23893182 35435782 35839773 47786364 53153673 70871564 71679546 106307346 143359092 159461019 212614692 318922038 407511493 478383057 637844076 815022986 956766114 1222534479 1630045972 1913532228 2445068958 3667603437 4890137916 7335206874 11002810311 14670413748 22005620622 44011241244