Search a number
-
+
142142201310123 = 347217891011311789
BaseRepresentation
bin100000010100011100001111…
…011010101010101110101011
3200122021122212101221102010000
4200110130033122222232223
5122112324212013410443
61222151120435354043
741640302154010200
oct4024341732525653
9618248771842100
10142142201310123
1141322195000033
1213b3813b752923
136140c4b906811
142715a0d8a7ca7
1511676a15b58d3
hex81470f6aabab

142142201310123 has 480 divisors, whose sum is σ = 269278930958400. Its totient is φ = 74226087936000.

The previous prime is 142142201310121. The next prime is 142142201310149. The reversal of 142142201310123 is 321013102241241.

142142201310123 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 4 + 220 + 1 + 310 + 123 = 666.

142142201310123 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 142142201310123 - 21 = 142142201310121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (142142201310121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 79453437513 + ... + 79453439301.

It is an arithmetic number, because the mean of its divisors is an integer number (560997772830).

Almost surely, 2142142201310123 is an apocalyptic number.

142142201310123 is a deficient number, since it is larger than the sum of its proper divisors (127136729648277).

142142201310123 is a wasteful number, since it uses less digits than its factorization.

142142201310123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142142201310123 its reverse (321013102241241), we get a palindrome (463155303551364).

The spelling of 142142201310123 in words is "one hundred forty-two trillion, one hundred forty-two billion, two hundred one million, three hundred ten thousand, one hundred twenty-three".