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13301440103440 = 245166268001293
BaseRepresentation
bin1100000110001111101110…
…0111001100010000010000
31202002121100020020101120001
43001203323213030100100
53220412322131302230
644142333000055344
72541666041245246
oct301437347142020
952077306211501
1013301440103440
114269122197025
1215a9aa9464554
13756421c67428
1433db16518796
151810034ad0ca
hexc18fb9cc410

13301440103440 has 20 divisors (see below), whose sum is σ = 30925848240684. Its totient is φ = 5320576041344.

The previous prime is 13301440103387. The next prime is 13301440103443. The reversal of 13301440103440 is 4430104410331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4106572555024 + 9194867548416 = 2026468^2 + 3032304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13301440103399 and 13301440103408.

It is not an unprimeable number, because it can be changed into a prime (13301440103443) 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 3 ways as a sum of consecutive naturals, for example, 83134000567 + ... + 83134000726.

Almost surely, 213301440103440 is an apocalyptic number.

13301440103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301440103440 is an abundant number, since it is smaller than the sum of its proper divisors (17624408137244).

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

13301440103440 is a wasteful number, since it uses less digits than its factorization.

13301440103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166268001306 (or 166268001300 counting only the distinct ones).

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

Adding to 13301440103440 its reverse (4430104410331), we get a palindrome (17731544513771).

The spelling of 13301440103440 in words is "thirteen trillion, three hundred one billion, four hundred forty million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 166268001293 332536002586 665072005172 831340006465 1330144010344 1662680012930 2660288020688 3325360025860 6650720051720 13301440103440