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2242810291041 = 32718493468401
BaseRepresentation
bin100000101000110001111…
…010010010001101100001
321221102002022020122112100
4200220301322102031201
5243221233413303131
64434155520121013
7321015633632145
oct40506172221541
97842068218470
102242810291041
11795196a37301
12302808766169
1313365ac271b8
147a7a4481225
153d519a077e6
hex20a31e92361

2242810291041 has 12 divisors (see below), whose sum is σ = 3239660888100. Its totient is φ = 1495185619200.

The previous prime is 2242810291039. The next prime is 2242810291093. The reversal of 2242810291041 is 1401920182422.

2242810291041 is a `hidden beast` number, since 2 + 2 + 428 + 102 + 91 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1182610575441 + 1060199715600 = 1087479^2 + 1029660^2 .

It is not a de Polignac number, because 2242810291041 - 21 = 2242810291039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242810290987 and 2242810291005.

It is not an unprimeable number, because it can be changed into a prime (2242810291541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087560 + ... + 2380841.

It is an arithmetic number, because the mean of its divisors is an integer number (269971740675).

Almost surely, 22242810291041 is an apocalyptic number.

It is an amenable number.

2242810291041 is a deficient number, since it is larger than the sum of its proper divisors (996850597059).

2242810291041 is a wasteful number, since it uses less digits than its factorization.

2242810291041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540256 (or 3540253 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2242810291041 in words is "two trillion, two hundred forty-two billion, eight hundred ten million, two hundred ninety-one thousand, forty-one".

Divisors: 1 3 9 71849 215547 646641 3468401 10405203 31215609 249201143449 747603430347 2242810291041