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13144131343 = 747611076121
BaseRepresentation
bin11000011110111001…
…11000011100001111
31020221001000001111101
430033130320130033
5203404344200333
610012140203531
7643503162430
oct141734703417
936831001441
1013144131343
115635579472
122669b395a7
1313161c7615
148c9967487
1551de2267d
hex30f73870f

13144131343 has 32 divisors (see below), whose sum is σ = 15741278208. Its totient is φ = 10742803200.

The previous prime is 13144131337. The next prime is 13144131367. The reversal of 13144131343 is 34313144131.

It is a cyclic number.

It is not a de Polignac number, because 13144131343 - 213 = 13144123151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144131323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2144323 + ... + 2150443.

It is an arithmetic number, because the mean of its divisors is an integer number (491914944).

Almost surely, 213144131343 is an apocalyptic number.

13144131343 is a deficient number, since it is larger than the sum of its proper divisors (2597146865).

13144131343 is a wasteful number, since it uses less digits than its factorization.

13144131343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343.

The product of its digits is 5184, while the sum is 28.

Adding to 13144131343 its reverse (34313144131), we get a palindrome (47457275474).

The spelling of 13144131343 in words is "thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred forty-three".

Divisors: 1 7 47 61 107 329 427 749 2867 5029 6121 6527 20069 35203 42847 45689 287687 306769 373381 654947 2013809 2147383 2613667 4584629 17548907 30782509 39951767 122842349 215477563 279662369 1877733049 13144131343