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142322323223241 = 32717132887323271
BaseRepresentation
bin100000010111000011111111…
…100001001111001011001001
3200122220212210102002122201100
4200113003333201033023021
5122123302104221120431
61222405550033212013
741656306563010140
oct4027037741171311
9618825712078640
10142322323223241
1141391616140357
1213b6702a101009
136154c258949b5
14272061995a757
15116c1e48514e6
hex8170ff84f2c9

142322323223241 has 24 divisors (see below), whose sum is σ = 248765069165184. Its totient is φ = 76543098203520.

The previous prime is 142322323223233. The next prime is 142322323223263.

142322323223241 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 2 + 3 + 2 + 322 + 324 + 1 = 666.

142322323223241 is nontrivially palindromic in base 10.

142322323223241 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 142322323223241 - 23 = 142322323223233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142322323223196 and 142322323223205.

It is not an unprimeable number, because it can be changed into a prime (142322323223231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66443660565 + ... + 66443662706.

It is an arithmetic number, because the mean of its divisors is an integer number (10365211215216).

Almost surely, 2142322323223241 is an apocalyptic number.

It is an amenable number.

142322323223241 is a deficient number, since it is larger than the sum of its proper divisors (106442745941943).

142322323223241 is a wasteful number, since it uses less digits than its factorization.

142322323223241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132887323301 (or 132887323298 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 142322323223241 in words is "one hundred forty-two trillion, three hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 132887323271 398661969813 930211262897 1195985909439 2259084495607 2790633788691 6777253486821 8371901366073 15813591469249 20331760460463 47440774407747 142322323223241