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142004321343 = 33131184721737
BaseRepresentation
bin1000010001000000011…
…1011111110000111111
3111120112112011221202000
42010100013133300333
54311311101240333
6145122541233343
713154666546523
oct2042007376077
9446475157660
10142004321343
1155250812465
1223630b62853
1310510bc0261
146c318cdd83
153a61b89713
hex21101dfc3f

142004321343 has 32 divisors (see below), whose sum is σ = 212107230720. Its totient is φ = 93891695040.

The previous prime is 142004321339. The next prime is 142004321363. The reversal of 142004321343 is 343123400241.

142004321343 is a `hidden beast` number, since 14 + 200 + 432 + 13 + 4 + 3 = 666.

142004321343 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 142004321343 - 22 = 142004321339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142004321363) 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 31 ways as a sum of consecutive naturals, for example, 6521971 + ... + 6543707.

It is an arithmetic number, because the mean of its divisors is an integer number (6628350960).

Almost surely, 2142004321343 is an apocalyptic number.

142004321343 is a deficient number, since it is larger than the sum of its proper divisors (70102909377).

142004321343 is a wasteful number, since it uses less digits than its factorization.

142004321343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724 (or 23718 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142004321343 its reverse (343123400241), we get a palindrome (485127721584).

The spelling of 142004321343 in words is "one hundred forty-two billion, four million, three hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 3 9 27 131 393 1179 1847 3537 5541 16623 21737 49869 65211 195633 241957 586899 725871 2177613 2847547 6532839 8542641 25627923 40148239 76883769 120444717 361334151 1084002453 5259419309 15778257927 47334773781 142004321343