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540413430312 = 233780915712531
BaseRepresentation
bin1111101110100110010…
…01101000101000101000
31220122220100012200111210
413313103021220220220
532323231314232222
61052132411153120
754020643236340
oct7672311505050
91818810180453
10540413430312
11199208324888
128889b4457a0
133bc64a64952
141c22868dd20
15e0cda82d0c
hex7dd3268a28

540413430312 has 128 divisors (see below), whose sum is σ = 1547542195200. Its totient is φ = 154053926400.

The previous prime is 540413430283. The next prime is 540413430313. The reversal of 540413430312 is 213034314045.

It is a self number, because there is not a number n which added to its sum of digits gives 540413430312.

It is not an unprimeable number, because it can be changed into a prime (540413430313) 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, 213516487 + ... + 213519017.

It is an arithmetic number, because the mean of its divisors is an integer number (12090173400).

Almost surely, 2540413430312 is an apocalyptic number.

It is an amenable number.

540413430312 is an abundant number, since it is smaller than the sum of its proper divisors (1007128764888).

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

540413430312 is a wasteful number, since it uses less digits than its factorization.

540413430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 540413430312 its reverse (213034314045), we get a palindrome (753447744357).

The spelling of 540413430312 in words is "five hundred forty billion, four hundred thirteen million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 809 1571 1618 2427 2531 3142 3236 4713 4854 5062 5663 6284 6472 7593 9426 9708 10124 10997 11326 12568 15186 16989 17717 18852 19416 20248 21994 22652 30372 32991 33978 35434 37704 43988 45304 53151 60744 65982 67956 70868 87976 106302 131964 135912 141736 212604 263928 425208 1270939 2047579 2541878 3812817 3976201 4095158 5083756 6142737 7625634 7952402 8190316 8896573 10167512 11928603 12285474 14333053 15251268 15904804 16380632 17793146 23857206 24570948 26689719 27833407 28666106 30502536 31809608 35586292 42999159 47714412 49141896 53379438 55666814 57332212 71172584 83500221 85998318 95428824 106758876 111333628 114664424 167000442 171996636 213517752 222667256 334000884 343993272 668001768 3216746609 6433493218 9650239827 12866986436 19300479654 22517226263 25733972872 38600959308 45034452526 67551678789 77201918616 90068905052 135103357578 180137810104 270206715156 540413430312