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1338437318281 = 74143310770311
BaseRepresentation
bin10011011110100001000…
…101001011011010001001
311201221201222221112101221
4103132201011023122021
5133412104423141111
62502511500442041
7165461503330660
oct23364105133211
94657658845357
101338437318281
1147669aa78338
12197493b49321
13992a24abc5b
1448ad03b7dd7
1524c38630371
hex137a114b689

1338437318281 has 16 divisors (see below), whose sum is σ = 1570569977088. Its totient is φ = 1116665740800.

The previous prime is 1338437318221. The next prime is 1338437318311. The reversal of 1338437318281 is 1828137348331.

It is a cyclic number.

It is not a de Polignac number, because 1338437318281 - 29 = 1338437317769 is a prime.

It is a super-2 number, since 2×13384373182812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1338437318221) 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 15 ways as a sum of consecutive naturals, for example, 5260885 + ... + 5509426.

It is an arithmetic number, because the mean of its divisors is an integer number (98160623568).

Almost surely, 21338437318281 is an apocalyptic number.

It is an amenable number.

1338437318281 is a deficient number, since it is larger than the sum of its proper divisors (232132658807).

1338437318281 is a wasteful number, since it uses less digits than its factorization.

1338437318281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770792.

The product of its digits is 2322432, while the sum is 52.

The spelling of 1338437318281 in words is "one trillion, three hundred thirty-eight billion, four hundred thirty-seven million, three hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 7 41 287 433 3031 17753 124271 10770311 75392177 441582751 3091079257 4663544663 32644812641 191205331183 1338437318281