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10044222344 = 2313254937889
BaseRepresentation
bin10010101101010111…
…01010101110001000
3221220222222100202222
421112223222232020
5131032310103334
64340402313212
7503622324032
oct112653525610
927828870688
1010044222344
114294779a02
121b43958808
13c40c01b40
146b3d94c52
153dbbe5d2e
hex256aeab88

10044222344 has 32 divisors (see below), whose sum is σ = 20290095000. Its totient is φ = 4633853952.

The previous prime is 10044222317. The next prime is 10044222367. The reversal of 10044222344 is 44322244001.

It is a happy number.

10044222344 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 7892190244 + 2152032100 = 88838^2 + 46390^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 246152 + ... + 284040.

Almost surely, 210044222344 is an apocalyptic number.

It is an amenable number.

10044222344 is an abundant number, since it is smaller than the sum of its proper divisors (10245872656).

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

10044222344 is a wasteful number, since it uses less digits than its factorization.

10044222344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40457 (or 40453 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10044222344 its reverse (44322244001), we get a palindrome (54366466345).

The spelling of 10044222344 in words is "ten billion, forty-four million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 2549 5098 10196 20392 33137 37889 66274 75778 132548 151556 265096 303112 492557 985114 1970228 3940456 96579061 193158122 386316244 772632488 1255527793 2511055586 5022111172 10044222344