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10044130040 = 235735871893
BaseRepresentation
bin10010101101010110…
…10100001011111000
3221220222210200011022
421112223110023320
5131032244130130
64340400322012
7503621460650
oct112653241370
927828720138
1010044130040
11429471661a
121b43913308
13c40b9bb19
146b3d6d360
153dbbc87e5
hex256ad42f8

10044130040 has 32 divisors (see below), whose sum is σ = 25827763680. Its totient is φ = 3443701632.

The previous prime is 10044130003. The next prime is 10044130049. The reversal of 10044130040 is 4003144001.

10044130040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×100441300404 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044130049) by changing a digit.

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, 17935667 + ... + 17936226.

It is an arithmetic number, because the mean of its divisors is an integer number (807117615).

Almost surely, 210044130040 is an apocalyptic number.

10044130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044130040 is an abundant number, since it is smaller than the sum of its proper divisors (15783633640).

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

10044130040 is a wasteful number, since it uses less digits than its factorization.

10044130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871911 (or 35871907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10044130040 its reverse (4003144001), we get a palindrome (14047274041).

The spelling of 10044130040 in words is "ten billion, forty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 35871893 71743786 143487572 179359465 251103251 286975144 358718930 502206502 717437860 1004413004 1255516255 1434875720 2008826008 2511032510 5022065020 10044130040