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44081461720 = 23517731098147
BaseRepresentation
bin101001000011011101…
…011011100111011000
311012210010001021102101
4221003131123213120
51210234323233340
632130054413144
73120244146052
oct510335334730
9135703037371
1044081461720
11177709216aa
1286629611b4
13420682677a
1421c26888d2
15122ee9dc9a
hexa4375b9d8

44081461720 has 128 divisors (see below), whose sum is σ = 107446046400. Its totient is φ = 16215883776.

The previous prime is 44081461691. The next prime is 44081461777. The reversal of 44081461720 is 2716418044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 44081461720.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5406687 + ... + 5414833.

Almost surely, 244081461720 is an apocalyptic number.

44081461720 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 44081461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53723023200).

44081461720 is an abundant number, since it is smaller than the sum of its proper divisors (63364584680).

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

44081461720 is a wasteful number, since it uses less digits than its factorization.

44081461720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

Adding to 44081461720 its reverse (2716418044), we get a palindrome (46797879764).

The spelling of 44081461720 in words is "forty-four billion, eighty-one million, four hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 109 136 146 170 218 292 340 365 436 545 584 680 730 872 1090 1241 1460 1853 2180 2482 2920 3706 4360 4964 6205 7412 7957 8147 9265 9928 12410 14824 15914 16294 18530 24820 31828 32588 37060 39785 40735 49640 63656 65176 74120 79570 81470 135269 138499 159140 162940 270538 276998 318280 325880 541076 553996 594731 676345 692495 888023 1082152 1107992 1189462 1352690 1384990 1776046 2378924 2705380 2769980 2973655 3552092 4440115 4757848 5410760 5539960 5947310 7104184 8880230 10110427 11894620 15096391 17760460 20220854 23789240 30192782 35520920 40441708 50552135 60385564 64825679 75481955 80883416 101104270 120771128 129651358 150963910 202208540 259302716 301927820 324128395 404417080 518605432 603855640 648256790 1102036543 1296513580 2204073086 2593027160 4408146172 5510182715 8816292344 11020365430 22040730860 44081461720