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10010443440 = 2435385110831
BaseRepresentation
bin10010101001010101…
…10011111010110000
3221211122102012211110
421110222303322300
5131000133142230
64333154313320
7503032236204
oct112452637260
927748365743
1010010443440
1142776a8358
121b34588840
13c36c05b1a
146ad6c0b04
153d8c724b0
hex254ab3eb0

10010443440 has 80 divisors (see below), whose sum is σ = 31043298816. Its totient is φ = 2668512000.

The previous prime is 10010443427. The next prime is 10010443459. The reversal of 10010443440 is 4434401001.

10010443440 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 (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918825 + ... + 929655.

Almost surely, 210010443440 is an apocalyptic number.

10010443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010443440 is an abundant number, since it is smaller than the sum of its proper divisors (21032855376).

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

10010443440 is a wasteful number, since it uses less digits than its factorization.

10010443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14692 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10010443440 its reverse (4434401001), we get a palindrome (14444844441).

The spelling of 10010443440 in words is "ten billion, ten million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3851 7702 10831 11553 15404 19255 21662 23106 30808 32493 38510 43324 46212 54155 57765 61616 64986 77020 86648 92424 108310 115530 129972 154040 162465 173296 184848 216620 231060 259944 308080 324930 433240 462120 519888 649860 866480 924240 1299720 2599440 41710181 83420362 125130543 166840724 208550905 250261086 333681448 417101810 500522172 625652715 667362896 834203620 1001044344 1251305430 1668407240 2002088688 2502610860 3336814480 5005221720 10010443440