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13144343140 = 2252383344273
BaseRepresentation
bin11000011110111011…
…01100001001100100
31020221001101211000201
430033131230021210
5203404422440030
610012144520244
7643505034055
oct141735541144
936831354021
1013144343140
115635703605
12266a020084
13131626cb46
148c99c072c
1551de652ca
hex30f76c264

13144343140 has 48 divisors (see below), whose sum is σ = 29150368128. Its totient is φ = 4968533504.

The previous prime is 13144343123. The next prime is 13144343141. The reversal of 13144343140 is 4134344131.

It is a happy number.

13144343140 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 = 13144343099 and 13144343108.

It is not an unprimeable number, because it can be changed into a prime (13144343141) 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 15 ways as a sum of consecutive naturals, for example, 133957 + ... + 210316.

It is an arithmetic number, because the mean of its divisors is an integer number (607299336).

Almost surely, 213144343140 is an apocalyptic number.

13144343140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144343140 is an abundant number, since it is smaller than the sum of its proper divisors (16006024988).

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

13144343140 is a wasteful number, since it uses less digits than its factorization.

13144343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344388 (or 344386 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13144343140 its reverse (4134344131), we get a palindrome (17278687271).

Subtracting from 13144343140 its reverse (4134344131), we obtain a palindrome (9009999009).

The spelling of 13144343140 in words is "thirteen billion, one hundred forty-four million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1660 1909 3818 7636 9545 19090 38180 344273 688546 1377092 1721365 3442730 6885460 7918279 15836558 28574659 31673116 39591395 57149318 79182790 114298636 142873295 158365580 285746590 571493180 657217157 1314434314 2628868628 3286085785 6572171570 13144343140