Search a number
-
+
142303121303241 = 33724111351468641
BaseRepresentation
bin100000010110110010000110…
…111111101110011011001001
3200122212001020012022001102010
4200112302012333232123021
5122122443243023200431
61222353052413330133
741655030001252113
oct4026620677563311
9618761205261363
10142303121303241
1141384462160688
1213b6336b496949
13615318564a062
14271d7176603b3
15116b96dbcd846
hex816c86fee6c9

142303121303241 has 32 divisors (see below), whose sum is σ = 195691762227456. Its totient is φ = 91913425920000.

The previous prime is 142303121303227. The next prime is 142303121303303.

142303121303241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142303121303241 - 234 = 142285941434057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142303121303199 and 142303121303208.

It is not an unprimeable number, because it can be changed into a prime (142303121303641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303416281 + ... + 303884921.

It is an arithmetic number, because the mean of its divisors is an integer number (6115367569608).

Almost surely, 2142303121303241 is an apocalyptic number.

It is an amenable number.

142303121303241 is a deficient number, since it is larger than the sum of its proper divisors (53388640924215).

142303121303241 is a wasteful number, since it uses less digits than its factorization.

142303121303241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480273.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 142303121303241 in words is "one hundred forty-two trillion, three hundred three billion, one hundred twenty-one million, three hundred three thousand, two hundred forty-one".

Divisors: 1 3 37 111 241 723 8917 11351 26751 34053 419987 468641 1259961 1405923 2735591 8206773 17339717 52019151 101216867 112942481 303650601 338827443 4178871797 5319543991 12536615391 15958631973 196823127667 590469383001 1282010101831 3846030305493 47434373767747 142303121303241