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220542240024414 = 232711223713548813
BaseRepresentation
bin110010001001010011111101…
…110111111110011101011110
31001220212122001220100211210100
4302021103331313332131132
5212401331001421240124
62101015412325121530
764311436205445240
oct6211237567763536
91056778056324710
10220542240024414
11642a9490a73370
122089a691b592a6
13960a075879269
143c66430d6c090
151a76c230161c9
hexc894fddfe75e

220542240024414 has 96 divisors (see below), whose sum is σ = 598421994153984. Its totient is φ = 57026821055040.

The previous prime is 220542240024377. The next prime is 220542240024517. The reversal of 220542240024414 is 414420042245022.

220542240024414 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 4 + 2 + 2 + 400 + 244 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356465329 + ... + 357083484.

It is an arithmetic number, because the mean of its divisors is an integer number (6233562439104).

Almost surely, 2220542240024414 is an apocalyptic number.

220542240024414 is an abundant number, since it is smaller than the sum of its proper divisors (377879754129570).

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

220542240024414 is a wasteful number, since it uses less digits than its factorization.

220542240024414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713549062 (or 713549059 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 220542240024414 its reverse (414420042245022), we get a palindrome (634962282269436).

The spelling of 220542240024414 in words is "two hundred twenty trillion, five hundred forty-two billion, two hundred forty million, twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 223 231 446 462 669 693 1338 1386 1561 2007 2453 3122 4014 4683 4906 7359 9366 14049 14718 17171 22077 28098 34342 44154 51513 103026 154539 309078 713548813 1427097626 2140646439 4281292878 4994841691 6421939317 7849036943 9989683382 12843878634 14984525073 15698073886 23547110829 29969050146 44953575219 47094221658 54943258601 70641332487 89907150438 109886517202 141282664974 159121385299 164829775803 318242770598 329659551606 477364155897 494489327409 954728311794 988978654818 1113849697093 1432092467691 1750335238289 2227699394186 2864184935382 3341549091279 3500670476578 5251005714867 6683098182558 10024647273837 10502011429734 12252346668023 15753017144601 20049294547674 24504693336046 31506034289202 36757040004069 73514080008138 110271120012207 220542240024414