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13368141040 = 245167101763
BaseRepresentation
bin11000111001100110…
…11010010011110000
31021111122111221000211
430130303122103300
5204334221003130
610050301353504
7652163216062
oct143463322360
937448457024
1013368141040
11573aa70251
122710b68894
13135073a137
1490b5d9732
15533920a2a
hex31ccda4f0

13368141040 has 20 divisors (see below), whose sum is σ = 31080928104. Its totient is φ = 5347256384.

The previous prime is 13368141019. The next prime is 13368141047. The reversal of 13368141040 is 4014186331.

13368141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13368140993 and 13368141011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368141047) 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 3 ways as a sum of consecutive naturals, for example, 83550802 + ... + 83550961.

Almost surely, 213368141040 is an apocalyptic number.

13368141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13368141040 is an abundant number, since it is smaller than the sum of its proper divisors (17712787064).

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

13368141040 is a wasteful number, since it uses less digits than its factorization.

13368141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167101776 (or 167101770 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 13368141040 in words is "thirteen billion, three hundred sixty-eight million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167101763 334203526 668407052 835508815 1336814104 1671017630 2673628208 3342035260 6684070520 13368141040