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10041344540 = 2252931558473
BaseRepresentation
bin10010101101000001…
…01100001000011100
3221220210120011011122
421112200230020130
5131031041011130
64340220510112
7503556006653
oct112640541034
927823504148
1010041344540
114293093857
121b429ab338
13c40434cb6
146b384619a
153db8282e5
hex25682c21c

10041344540 has 48 divisors (see below), whose sum is σ = 22517671680. Its totient is φ = 3752931840.

The previous prime is 10041344527. The next prime is 10041344591. The reversal of 10041344540 is 4544314001.

10041344540 = T325 + T326 + ... + T3920.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261257 + ... + 297216.

It is an arithmetic number, because the mean of its divisors is an integer number (469118160).

Almost surely, 210041344540 is an apocalyptic number.

10041344540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041344540 is an abundant number, since it is smaller than the sum of its proper divisors (12476327140).

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

10041344540 is a wasteful number, since it uses less digits than its factorization.

10041344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558542 (or 558540 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10041344540 its reverse (4544314001), we get a palindrome (14585658541).

The spelling of 10041344540 in words is "ten billion, forty-one million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4495 8990 17980 558473 1116946 2233892 2792365 5584730 11169460 16195717 17312663 32391434 34625326 64782868 69250652 80978585 86563315 161957170 173126630 323914340 346253260 502067227 1004134454 2008268908 2510336135 5020672270 10041344540