Search a number
-
+
142326334240240 = 24513912799130777
BaseRepresentation
bin100000010111000111101110…
…100110000011010111110000
3200122221021010221112102122111
4200113013232212003113300
5122123333313031141430
61222411452035215104
741656511146050223
oct4027075646032760
9618837127472574
10142326334240240
1141393294269837
1213b67969447494
136155414872b37
1427208ba53b5ba
15116c37ba50c2a
hex8171ee9835f0

142326334240240 has 40 divisors (see below), whose sum is σ = 333289365459120. Its totient is φ = 56520961506816.

The previous prime is 142326334240231. The next prime is 142326334240243. The reversal of 142326334240240 is 42042433623241.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 142326334240193 and 142326334240202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142326334240243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6399554269 + ... + 6399576508.

It is an arithmetic number, because the mean of its divisors is an integer number (8332234136478).

Almost surely, 2142326334240240 is an apocalyptic number.

142326334240240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142326334240240 is an abundant number, since it is smaller than the sum of its proper divisors (190963031218880).

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

142326334240240 is a wasteful number, since it uses less digits than its factorization.

142326334240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12799130929 (or 12799130923 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 142326334240240 its reverse (42042433623241), we get a palindrome (184368767863481).

The spelling of 142326334240240 in words is "one hundred forty-two trillion, three hundred twenty-six billion, three hundred thirty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 12799130777 25598261554 51196523108 63995653885 102393046216 127991307770 204786092432 255982615540 511965231080 1023930462160 1779079178003 3558158356006 7116316712012 8895395890015 14232633424024 17790791780030 28465266848048 35581583560060 71163167120120 142326334240240