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1388605348881 = 32107236712
BaseRepresentation
bin10100001101001111010…
…101000001110000010001
311220202020021221112200100
4110031033111001300101
5140222330432131011
62541525543443013
7202215635500602
oct24151725016021
94822207845610
101388605348881
114959a4578253
121a5155156469
13a0c38cc176a
144b2cd167da9
15261c2b16d56
hex1434f541c11

1388605348881 has 27 divisors (see below), whose sum is σ = 2025235609033. Its totient is φ = 916835333640.

The previous prime is 1388605348811. The next prime is 1388605348937. The reversal of 1388605348881 is 1888435068831.

The square root of 1388605348881 is 1178391.

It is a perfect power (a square), and thus also a powerful number.

1388605348881 is a `hidden beast` number, since 1 + 38 + 8 + 60 + 534 + 8 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 1388605348881 - 217 = 1388605217809 is a prime.

It is a super-2 number, since 2×13886053488812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1388605348811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 378261676 + ... + 378265346.

Almost surely, 21388605348881 is an apocalyptic number.

1388605348881 is the 1178391-st square number.

1388605348881 is the 589196-th centered octagonal number.

It is an amenable number.

1388605348881 is a deficient number, since it is larger than the sum of its proper divisors (636630260152).

1388605348881 is an frugal number, since it uses more digits than its factorization.

1388605348881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 1388605348881 in words is "one trillion, three hundred eighty-eight billion, six hundred five million, three hundred forty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 107 321 963 3671 11013 11449 33039 34347 103041 392797 1178391 3535173 13476241 40428723 42029279 121286169 126087837 378263511 1441957787 4325873361 12977620083 154289483209 462868449627 1388605348881