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13444413000001 = 281178597267893
BaseRepresentation
bin1100001110100100010101…
…1101100000100101000001
31202121021101020222001201021
43003221011131200211001
53230233124212000001
644332140021305441
72555220041644414
oct303510535404501
952537336861637
1013444413000001
11431381a709375
12161174a865281
13766a587111c9
143469da8d5b7b
15184ac01bcba1
hexc3a45760941

13444413000001 has 8 divisors (see below), whose sum is σ = 13492383796584. Its totient is φ = 13396443096960.

The previous prime is 13444412999989. The next prime is 13444413000017. The reversal of 13444413000001 is 10000031444431.

It can be written as a sum of positive squares in 4 ways, for example, as 3328508336400 + 10115904663601 = 1824420^2 + 3180551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13444413000001 - 233 = 13435823065409 is a prime.

It is a super-3 number, since 3×134444130000013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13444413000001.

It is not an unprimeable number, because it can be changed into a prime (13444413000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50051811 + ... + 50319703.

It is an arithmetic number, because the mean of its divisors is an integer number (1686547974573).

Almost surely, 213444413000001 is an apocalyptic number.

It is an amenable number.

13444413000001 is a deficient number, since it is larger than the sum of its proper divisors (47970796583).

13444413000001 is a wasteful number, since it uses less digits than its factorization.

13444413000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446771.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13444413000001 its reverse (10000031444431), we get a palindrome (23444444444432).

The spelling of 13444413000001 in words is "thirteen trillion, four hundred forty-four billion, four hundred thirteen million, one", and thus it is an aban number.

Divisors: 1 281 178597 267893 50185757 75277933 47844886121 13444413000001