Search a number
-
+
142344203922 = 23217252312
BaseRepresentation
bin1000010010010001100…
…0000010111010010010
3111121102012201202222200
42010210120002322102
54313010104011142
6145220402144030
713166264525034
oct2044430027222
9447365652880
10142344203922
1155405657258
1223706952016
13105664432cb
146c64ac5c54
153a8192564c
hex2124602e92

142344203922 has 54 divisors (see below), whose sum is σ = 327684163989. Its totient is φ = 44648468160.

The previous prime is 142344203917. The next prime is 142344203927. The reversal of 142344203922 is 229302443241.

142344203922 is a `hidden beast` number, since 1 + 423 + 4 + 4 + 203 + 9 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (142344203917) and next prime (142344203927).

It can be written as a sum of positive squares in 2 ways, for example, as 130276961721 + 12067242201 = 360939^2 + 109851^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266781.

It is not an unprimeable number, because it can be changed into a prime (142344203927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27209047 + ... + 27214277.

Almost surely, 2142344203922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142344203922

142344203922 is an abundant number, since it is smaller than the sum of its proper divisors (185339960067).

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

142344203922 is an frugal number, since it uses more digits than its factorization.

142344203922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 142344203922 in words is "one hundred forty-two billion, three hundred forty-four million, two hundred three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 5231 10462 15693 31386 47079 88927 94158 177854 266781 533562 800343 1511759 1600686 3023518 4535277 9070554 13605831 27211662 27363361 54726722 82090083 164180166 246270249 465177137 492540498 930354274 1395531411 2791062822 4186594233 7908011329 8373188466 15816022658 23724033987 47448067974 71172101961 142344203922