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2262442142136 = 2331131127555809
BaseRepresentation
bin100000111011000100000…
…011110110100110111000
322000021202111001000102110
4200323010003312212320
5244031440142022021
64451203534532320
7322312265622501
oct40730403664670
98007674030373
102262442142136
117a2550675630
123065873670a0
13135469262c37
147b7078d3ba8
153dcb82a2476
hex20ec40f69b8

2262442142136 has 64 divisors (see below), whose sum is σ = 6190137158400. Its totient is φ = 683384038400.

The previous prime is 2262442142119. The next prime is 2262442142137. The reversal of 2262442142136 is 6312412442622.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2262442142094 and 2262442142103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262442142137) 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 15 ways as a sum of consecutive naturals, for example, 13695801 + ... + 13860008.

It is an arithmetic number, because the mean of its divisors is an integer number (96720893100).

Almost surely, 22262442142136 is an apocalyptic number.

It is an amenable number.

2262442142136 is an abundant number, since it is smaller than the sum of its proper divisors (3927695016264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2262442142136 is a wasteful number, since it uses less digits than its factorization.

2262442142136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27556140 (or 27556136 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 2262442142136 its reverse (6312412442622), we get a palindrome (8574854584758).

The spelling of 2262442142136 in words is "two trillion, two hundred sixty-two billion, four hundred forty-two million, one hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 622 933 1244 1866 2488 3421 3732 6842 7464 10263 13684 20526 27368 41052 82104 27555809 55111618 82667427 110223236 165334854 220446472 303113899 330669708 606227798 661339416 909341697 1212455596 1818683394 2424911192 3637366788 7274733576 8569856599 17139713198 25709569797 34279426396 51419139594 68558852792 94268422589 102838279188 188536845178 205676558376 282805267767 377073690356 565610535534 754147380712 1131221071068 2262442142136