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44006132640 = 2535439208837
BaseRepresentation
bin101000111110111110…
…000100101110100000
311012120212022011100110
4220332332010232200
51210111032221030
632114404051320
73115340645541
oct507676045640
9135525264313
1044006132640
1117732350868
128641693b40
1341c4040452
1421b667a4c8
15122856e1b0
hexa3ef84ba0

44006132640 has 96 divisors (see below), whose sum is σ = 138935744640. Its totient is φ = 11708181504.

The previous prime is 44006132623. The next prime is 44006132641. The reversal of 44006132640 is 4623160044.

44006132640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44006132598 and 44006132607.

It is not an unprimeable number, because it can be changed into a prime (44006132641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106302 + ... + 315138.

It is an arithmetic number, because the mean of its divisors is an integer number (1447247340).

Almost surely, 244006132640 is an apocalyptic number.

44006132640 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 44006132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69467872320).

44006132640 is an abundant number, since it is smaller than the sum of its proper divisors (94929612000).

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

44006132640 is a wasteful number, since it uses less digits than its factorization.

44006132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209294 (or 209286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 44006132640 its reverse (4623160044), we get a palindrome (48629292684).

The spelling of 44006132640 in words is "forty-four billion, six million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 439 480 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 14048 17560 21072 26340 35120 42144 52680 70240 105360 208837 210720 417674 626511 835348 1044185 1253022 1670696 2088370 2506044 3132555 3341392 4176740 5012088 6265110 6682784 8353480 10024176 12530220 16706960 20048352 25060440 33413920 50120880 91679443 100241760 183358886 275038329 366717772 458397215 550076658 733435544 916794430 1100153316 1375191645 1466871088 1833588860 2200306632 2750383290 2933742176 3667177720 4400613264 5500766580 7334355440 8801226528 11001533160 14668710880 22003066320 44006132640