Search a number
-
+
138444946953 = 31716691626487
BaseRepresentation
bin1000000011101111110…
…1100011111000001001
3111020100110120222222220
42000323331203320021
54232013401300303
6143333431404253
713000536426645
oct2007375437011
9436313528886
10138444946953
1153794621835
12229b8b23689
1310094665671
1469b4cb7c25
153904450053
hex203bf63e09

138444946953 has 16 divisors (see below), whose sum is σ = 195568917120. Its totient is φ = 86815316736.

The previous prime is 138444946909. The next prime is 138444947041. The reversal of 138444946953 is 359649444831.

138444946953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138444946953 - 213 = 138444938761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138444942953) 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, 728125 + ... + 898362.

It is an arithmetic number, because the mean of its divisors is an integer number (12223057320).

Almost surely, 2138444946953 is an apocalyptic number.

It is an amenable number.

138444946953 is a deficient number, since it is larger than the sum of its proper divisors (57123970167).

138444946953 is a wasteful number, since it uses less digits than its factorization.

138444946953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628176.

The product of its digits is 44789760, while the sum is 60.

The spelling of 138444946953 in words is "one hundred thirty-eight billion, four hundred forty-four million, nine hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 3 17 51 1669 5007 28373 85119 1626487 4879461 27650279 82950837 2714606803 8143820409 46148315651 138444946953