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44135345320 = 2351129794009
BaseRepresentation
bin101001000110101010…
…111110110010101000
311012220212102211211021
4221012222332302220
51210342122022240
632135301342224
73121500150103
oct510652766250
9135825384737
1044135345320
1117799285200
128678a07974
134214a41761
1421c98b373a
151234a9454a
hexa46abeca8

44135345320 has 96 divisors (see below), whose sum is σ = 110279370600. Its totient is φ = 15883591680.

The previous prime is 44135345291. The next prime is 44135345321. The reversal of 44135345320 is 2354353144.

It is a happy number.

44135345320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20154345156 + 23981000164 = 141966^2 + 154858^2 .

It is not an unprimeable number, because it can be changed into a prime (44135345321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422476 + ... + 516484.

Almost surely, 244135345320 is an apocalyptic number.

44135345320 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 44135345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55139685300).

44135345320 is an abundant number, since it is smaller than the sum of its proper divisors (66144025280).

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

44135345320 is a wasteful number, since it uses less digits than its factorization.

44135345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94139 (or 94124 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 44135345320 its reverse (2354353144), we get a palindrome (46489698464).

The spelling of 44135345320 in words is "forty-four billion, one hundred thirty-five million, three hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 121 194 220 242 388 440 484 485 605 776 968 970 1067 1210 1940 2134 2420 3880 4268 4840 5335 8536 10670 11737 21340 23474 42680 46948 58685 93896 94009 117370 188018 234740 376036 469480 470045 752072 940090 1034099 1880180 2068198 3760360 4136396 5170495 8272792 9118873 10340990 11375089 18237746 20681980 22750178 36475492 41363960 45500356 45594365 56875445 72950984 91000712 91188730 100307603 113750890 182377460 200615206 227501780 364754920 401230412 455003560 501538015 802460824 1003076030 1103383633 2006152060 2206767266 4012304120 4413534532 5516918165 8827069064 11033836330 22067672660 44135345320