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13144400340 = 22351712886667
BaseRepresentation
bin11000011110111011…
…11010000111010100
31020221001111201111020
430033131322013110
5203404431302330
610012150041140
7643505362611
oct141735720724
936831451436
1013144400340
115635742585
12266a0491b0
13131628cba6
148c99d7508
1551de77210
hex30f77a1d4

13144400340 has 48 divisors (see below), whose sum is σ = 38969284032. Its totient is φ = 3298986496.

The previous prime is 13144400333. The next prime is 13144400363. The reversal of 13144400340 is 4300444131.

It is a self number, because there is not a number n which added to its sum of digits gives 13144400340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6442314 + ... + 6444353.

It is an arithmetic number, because the mean of its divisors is an integer number (811860084).

Almost surely, 213144400340 is an apocalyptic number.

13144400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144400340 is an abundant number, since it is smaller than the sum of its proper divisors (25824883692).

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

13144400340 is a wasteful number, since it uses less digits than its factorization.

13144400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886696 (or 12886694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13144400340 its reverse (4300444131), we get a palindrome (17444844471).

The spelling of 13144400340 in words is "thirteen billion, one hundred forty-four million, four hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 12886667 25773334 38660001 51546668 64433335 77320002 128866670 154640004 193300005 219073339 257733340 386600010 438146678 657220017 773200020 876293356 1095366695 1314440034 2190733390 2628880068 3286100085 4381466780 6572200170 13144400340