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13141244440 = 2352911328659
BaseRepresentation
bin11000011110100011…
…10111101000011000
31020220211120101102001
430033101313220120
5203403124310230
610011554250344
7643436510002
oct141721675030
936824511361
1013141244440
1156339874a5
122668b869b4
1313157265ac
148c9415372
1551da520ca
hex30f477a18

13141244440 has 32 divisors (see below), whose sum is σ = 30587382000. Its totient is φ = 5075238784.

The previous prime is 13141244429. The next prime is 13141244449. The reversal of 13141244440 is 4444214131.

13141244440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13141244399 and 13141244408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141244449) 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, 5663170 + ... + 5665489.

Almost surely, 213141244440 is an apocalyptic number.

13141244440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141244440 is an abundant number, since it is smaller than the sum of its proper divisors (17446137560).

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

13141244440 is a wasteful number, since it uses less digits than its factorization.

13141244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328699 (or 11328695 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 13141244440 its reverse (4444214131), we get a palindrome (17585458571).

The spelling of 13141244440 in words is "thirteen billion, one hundred forty-one million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 11328659 22657318 45314636 56643295 90629272 113286590 226573180 328531111 453146360 657062222 1314124444 1642655555 2628248888 3285311110 6570622220 13141244440