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540822880242 = 23419230412
BaseRepresentation
bin1111101111010111000…
…11100011111111110010
31220200221212122220020000
413313223203203333302
532330101124131432
61052241155130430
754034044430041
oct7675343437762
91820855586200
10540822880242
111993a8464657
12889945a3a16
133bccb834608
141c266bd4558
15e1049b157c
hex7deb8e3ff2

540822880242 has 90 divisors (see below), whose sum is σ = 1279402743069. Its totient is φ = 170730011520.

The previous prime is 540822880231. The next prime is 540822880313. The reversal of 540822880242 is 242088228045.

540822880242 is a `hidden beast` number, since 54 + 0 + 82 + 288 + 0 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 347839268841 + 192983611401 = 589779^2 + 439299^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=520011.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177842242 + ... + 177845282.

Almost surely, 2540822880242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540822880242

540822880242 is an abundant number, since it is smaller than the sum of its proper divisors (738579862827).

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

540822880242 is an frugal number, since it uses more digits than its factorization.

540822880242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 540822880242 in words is "five hundred forty billion, eight hundred twenty-two million, eight hundred eighty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3041 3078 3249 6082 6498 9123 9747 18246 19494 27369 29241 54738 57779 58482 82107 115558 164214 173337 246321 346674 492642 520011 1040022 1097801 1560033 2195602 3120066 3293403 4680099 6586806 9247681 9360198 9880209 18495362 19760418 27743043 29640627 55486086 59281254 83229129 88921881 166458258 175705939 177843762 249687387 351411878 499374774 527117817 749062161 1054235634 1498124322 1581353451 3162706902 3338412841 4744060353 6676825682 9488120706 10015238523 14232181059 20030477046 28464362118 30045715569 60091431138 90137146707 180274293414 270411440121 540822880242