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540223211313 = 322947107411577
BaseRepresentation
bin1111101110001111101…
…00000000011100110001
31220122102002021120002200
413313013310000130301
532322334120230223
61052101454133413
754013143350112
oct7670764003461
91818362246080
10540223211313
1119911aa124a5
12888477b1269
133bc34523626
141c20b2d6209
15e0bc00ba43
hex7dc7d00731

540223211313 has 48 divisors (see below), whose sum is σ = 832111937280. Its totient is φ = 337149888768.

The previous prime is 540223211291. The next prime is 540223211323. The reversal of 540223211313 is 313112322045.

540223211313 is a `hidden beast` number, since 5 + 4 + 0 + 22 + 321 + 1 + 313 = 666.

It is not a de Polignac number, because 540223211313 - 218 = 540222949169 is a prime.

It is a super-2 number, since 2×5402232113132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540223211323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106781 + ... + 1518357.

It is an arithmetic number, because the mean of its divisors is an integer number (17335665360).

Almost surely, 2540223211313 is an apocalyptic number.

It is an amenable number.

540223211313 is a deficient number, since it is larger than the sum of its proper divisors (291888725967).

540223211313 is a wasteful number, since it uses less digits than its factorization.

540223211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411766 (or 411763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 540223211313 its reverse (313112322045), we get a palindrome (853335533358).

The spelling of 540223211313 in words is "five hundred forty billion, two hundred twenty-three million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 29 47 87 107 141 261 321 423 963 1363 3103 4089 5029 9309 12267 15087 27927 45261 145841 411577 437523 1234731 1312569 3704193 11935733 19344119 35807199 44038739 58032357 107421597 132116217 174097071 396348651 560979451 1277123431 1682938353 2069820733 3831370293 5048815059 6209462199 11494110879 18628386597 60024801257 180074403771 540223211313