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140004021313013 = 11132170145115391
BaseRepresentation
bin11111110101010100111001…
…111101010001110111110101
3200100201020211222001102000012
4133311110321331101313311
5121322311213424004023
61213432543125430005
741326646106630524
oct3765247175216765
9610636758042005
10140004021313013
1140678410152230
121385187356b305
136017426885060
1426803333cc4bb
15112bc5c571978
hex7f5539f51df5

140004021313013 has 16 divisors (see below), whose sum is σ = 164487831846912. Its totient is φ = 117480475560000.

The previous prime is 140004021312971. The next prime is 140004021313031. The reversal of 140004021313013 is 310313120400041.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140004021313013 is a prime.

It is a super-2 number, since 2×1400040213130132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 140004021313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140004021313063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19454453 + ... + 25660938.

It is an arithmetic number, because the mean of its divisors is an integer number (10280489490432).

Almost surely, 2140004021313013 is an apocalyptic number.

140004021313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140004021313013 is a deficient number, since it is larger than the sum of its proper divisors (24483810533899).

140004021313013 is a wasteful number, since it uses less digits than its factorization.

140004021313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45137116.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 140004021313013 its reverse (310313120400041), we get a palindrome (450317141713054).

The spelling of 140004021313013 in words is "one hundred forty trillion, four billion, twenty-one million, three hundred thirteen thousand, thirteen".

Divisors: 1 11 13 143 21701 238711 282113 3103243 45115391 496269301 586500083 6451500913 979049100091 10769540101001 12727638301183 140004021313013