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10444142324 = 2271133909553
BaseRepresentation
bin10011011101000010…
…01111011011110100
3222221212111101212002
421232201033123310
5132342200023244
64444210114432
7516546513350
oct115641173364
928855441762
1010444142324
11447a49a790
12203587ba18
13ca5a15b95
14711138460
15411d90a4e
hex26e84f6f4

10444142324 has 24 divisors (see below), whose sum is σ = 22787220288. Its totient is φ = 4069146240.

The previous prime is 10444142297. The next prime is 10444142369. The reversal of 10444142324 is 42324144401.

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 7 ways as a sum of consecutive naturals, for example, 16954469 + ... + 16955084.

It is an arithmetic number, because the mean of its divisors is an integer number (949467512).

Almost surely, 210444142324 is an apocalyptic number.

10444142324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10444142324 is an abundant number, since it is smaller than the sum of its proper divisors (12343077964).

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

10444142324 is a wasteful number, since it uses less digits than its factorization.

10444142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33909575 (or 33909573 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10444142324 its reverse (42324144401), we get a palindrome (52768286725).

The spelling of 10444142324 in words is "ten billion, four hundred forty-four million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 33909553 67819106 135638212 237366871 373005083 474733742 746010166 949467484 1492020332 2611035581 5222071162 10444142324