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540033022324 = 2217295343311933
BaseRepresentation
bin1111101101111000111…
…10011111100101110100
31220121220211101221212001
413312330132133211310
532321441423203244
61052030541505044
754005343644215
oct7667436374564
91817824357761
10540033022324
11199032620714
12887b3b72184
133bc03cc2b73
141c1cdd4940c
15e0aa48e5d4
hex7dbc79f974

540033022324 has 96 divisors (see below), whose sum is σ = 1057210146720. Its totient is φ = 240164241408.

The previous prime is 540033022313. The next prime is 540033022337. The reversal of 540033022324 is 423220330045.

It can be written as a sum of positive squares in 16 ways, for example, as 12129057424 + 527903964900 = 110132^2 + 726570^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540033022292 and 540033022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45249462 + ... + 45261394.

It is an arithmetic number, because the mean of its divisors is an integer number (11012605695).

Almost surely, 2540033022324 is an apocalyptic number.

It is an amenable number.

540033022324 is a deficient number, since it is larger than the sum of its proper divisors (517177124396).

540033022324 is a wasteful number, since it uses less digits than its factorization.

540033022324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 540033022324 its reverse (423220330045), we get a palindrome (963253352369).

The spelling of 540033022324 in words is "five hundred forty billion, thirty-three million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 17 29 34 53 58 68 106 116 212 433 493 866 901 986 1537 1732 1802 1972 3074 3604 6148 7361 11933 12557 14722 22949 23866 25114 26129 29444 45898 47732 50228 52258 91796 104516 202861 213469 346057 390133 405722 426938 632449 665521 692114 780266 811444 853876 1264898 1331042 1384228 1560532 2529796 2662084 5166989 5882969 10333978 10751633 11313857 11765938 18341021 20667956 21503266 22627714 23531876 36682042 43006532 45255428 73364084 87838813 149842681 175677626 273850417 299685362 311797357 351355252 547700834 599370724 623594714 1095401668 1247189428 2547325577 4655457089 5094651154 7941662093 9310914178 10189302308 15883324186 18621828356 31766648372 135008255581 270016511162 540033022324