Search a number
-
+
242124301041 = 37291492668301
BaseRepresentation
bin1110000101111110111…
…0111010001011110001
3212010222001120220012020
43201133232322023301
512431332310113131
6303121432022053
723331031413210
oct3413756721361
9763861526166
10242124301041
1193758946037
123ab12b31929
1319aa851a5ac
14ba0c863077
1564716c3996
hex385fbba2f1

242124301041 has 32 divisors (see below), whose sum is σ = 384235488000. Its totient is φ = 132689222400.

The previous prime is 242124301021. The next prime is 242124301051. The reversal of 242124301041 is 140103421242.

It is not a de Polignac number, because 242124301041 - 229 = 241587430129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242124301021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243410 + ... + 1424891.

It is an arithmetic number, because the mean of its divisors is an integer number (12007359000).

Almost surely, 2242124301041 is an apocalyptic number.

242124301041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242124301041 is a deficient number, since it is larger than the sum of its proper divisors (142111186959).

242124301041 is a wasteful number, since it uses less digits than its factorization.

242124301041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668489.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242124301041 its reverse (140103421242), we get a palindrome (382227722283).

The spelling of 242124301041 in words is "two hundred forty-two billion, one hundred twenty-four million, three hundred one thousand, forty-one".

Divisors: 1 3 7 21 29 87 149 203 447 609 1043 3129 4321 12963 30247 90741 2668301 8004903 18678107 56034321 77380729 232142187 397576849 541665103 1192730547 1624995309 2783037943 8349113829 11529728621 34589185863 80708100347 242124301041