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13144405443201 = 327173281784583
BaseRepresentation
bin1011111101000110101110…
…0111100000001010000001
31201112121000012211002222200
42333101223213200022001
53210324220243140301
643542242334223413
72524436422536414
oct277215347401201
951477005732880
1013144405443201
11420856922058a
121583582954b69
13744687167b26
1433629a787b7b
1517bdb2019c86
hexbf46b9e0281

13144405443201 has 24 divisors (see below), whose sum is σ = 19517527426176. Its totient is φ = 8521165759680.

The previous prime is 13144405443199. The next prime is 13144405443227. The reversal of 13144405443201 is 10234450444131.

It is a happy number.

13144405443201 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 4 + 0 + 5 + 443 + 201 = 666.

It is not a de Polignac number, because 13144405443201 - 21 = 13144405443199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13144405443271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140845645 + ... + 140938938.

It is an arithmetic number, because the mean of its divisors is an integer number (813230309424).

Almost surely, 213144405443201 is an apocalyptic number.

It is an amenable number.

13144405443201 is a deficient number, since it is larger than the sum of its proper divisors (6373121982975).

13144405443201 is a wasteful number, since it uses less digits than its factorization.

13144405443201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281784733 (or 281784730 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13144405443201 its reverse (10234450444131), we get a palindrome (23378855887332).

The spelling of 13144405443201 in words is "thirteen trillion, one hundred forty-four billion, four hundred five million, four hundred forty-three thousand, two hundred one".

Divisors: 1 3 9 71 73 213 219 639 657 5183 15549 46647 281784583 845353749 2536061247 20006705393 20570274559 60020116179 61710823677 180060348537 185132471031 1460489493689 4381468481067 13144405443201