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540316350033 = 329197263119869
BaseRepresentation
bin1111101110011010101…
…11010011011001010001
31220122122120112111101220
413313031113103121101
532323031441200113
61052115022315253
754015354124425
oct7671527233121
91818576474356
10540316350033
11199168547a49
1288872a28b29
133bc4a9040b5
141c21981cb85
15e0c52a8523
hex7dcd5d3651

540316350033 has 32 divisors (see below), whose sum is σ = 751901356800. Its totient is φ = 344705846016.

The previous prime is 540316350029. The next prime is 540316350043. The reversal of 540316350033 is 330053613045.

It is a happy number.

It is not a de Polignac number, because 540316350033 - 22 = 540316350029 is a prime.

It is a super-2 number, since 2×5403163500332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540316349976 and 540316350003.

It is not an unprimeable number, because it can be changed into a prime (540316350043) 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, 4447623 + ... + 4567491.

It is an arithmetic number, because the mean of its divisors is an integer number (23496917400).

Almost surely, 2540316350033 is an apocalyptic number.

It is an amenable number.

540316350033 is a deficient number, since it is larger than the sum of its proper divisors (211585006767).

540316350033 is a wasteful number, since it uses less digits than its factorization.

540316350033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120361.

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 540316350033 its reverse (330053613045), we get a palindrome (870369963078).

The spelling of 540316350033 in words is "five hundred forty billion, three hundred sixteen million, three hundred fifty thousand, thirty-three".

Divisors: 1 3 29 87 197 263 591 789 5713 7627 17139 22881 51811 119869 155433 359607 1502519 3476201 4507557 10428603 23614193 31525547 70842579 94576641 684811597 914240863 2054434791 2742722589 6210532759 18631598277 180105450011 540316350033