Search a number
-
+
138318784309 = 1738974328151
BaseRepresentation
bin1000000011010001110…
…0010010011100110101
3111020000200012021101101
42000310130102130311
54231234102044214
6143313123330101
712664445160556
oct2006434223465
9436020167341
10138318784309
115372a390992
1222982820931
1310074491704
1469a223632d
1538e832d774
hex2034712735

138318784309 has 16 divisors (see below), whose sum is σ = 147034517760. Its totient is φ = 129668358400.

The previous prime is 138318784271. The next prime is 138318784319. The reversal of 138318784309 is 903487813831.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 138318784309 - 29 = 138318783797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138318784309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138318784319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4899384 + ... + 4927534.

It is an arithmetic number, because the mean of its divisors is an integer number (9189657360).

Almost surely, 2138318784309 is an apocalyptic number.

It is an amenable number.

138318784309 is a deficient number, since it is larger than the sum of its proper divisors (8715733451).

138318784309 is a wasteful number, since it uses less digits than its factorization.

138318784309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29300.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 138318784309 in words is "one hundred thirty-eight billion, three hundred eighteen million, seven hundred eighty-four thousand, three hundred nine".

Divisors: 1 17 389 743 6613 12631 28151 289027 478567 4913459 10950739 20916193 186162563 355575281 8136399077 138318784309