Search a number
-
+
2430214120342 = 2311971994672141
BaseRepresentation
bin100011010111010100000…
…011001010001110010110
322121022210210121120020001
4203113110003022032112
5304304034303322332
65100231442401514
7340401654122341
oct43272403121626
98538723546201
102430214120342
11857714573a78
12332ba996029a
13148225726c18
14858a16b7458
15433371e80e7
hex235d40ca396

2430214120342 has 64 divisors (see below), whose sum is σ = 3810936729600. Its totient is φ = 1161026697600.

The previous prime is 2430214120331. The next prime is 2430214120349.

2430214120342 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2430214120342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430214120349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135082592 + ... + 1135084732.

It is an arithmetic number, because the mean of its divisors is an integer number (59545886400).

Almost surely, 22430214120342 is an apocalyptic number.

2430214120342 is a deficient number, since it is larger than the sum of its proper divisors (1380722609258).

2430214120342 is a wasteful number, since it uses less digits than its factorization.

2430214120342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 2430214120342 in words is "two trillion, four hundred thirty billion, two hundred fourteen million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 31 62 197 199 394 398 467 934 2141 4282 6107 6169 12214 12338 14477 28954 39203 66371 78406 91999 92933 132742 183998 185866 421777 426059 843554 852118 999847 1215293 1999694 2430586 2851969 2880923 5703938 5761846 13075087 13207829 18307801 26150174 26415658 30995257 36615602 61990514 83933623 167867246 196969859 198969553 393939718 397939106 567541831 1135083662 2601942313 5203884626 6106065629 6168056143 12212131258 12336112286 39197001941 78394003882 1215107060171 2430214120342