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542105464241 = 1119103136118503
BaseRepresentation
bin1111110001110000000…
…00001110110110110001
31220211021021001220201002
413320320000032312301
532340212444323431
61053012333251345
754110610263015
oct7707000166661
91824237056632
10542105464241
111999a6446a30
1289092033b55
133c174482363
141c3492a0545
15e17c3b13cb
hex7e3800edb1

542105464241 has 32 divisors (see below), whose sum is σ = 629053102080. Its totient is φ = 461987539200.

The previous prime is 542105464237. The next prime is 542105464247. The reversal of 542105464241 is 142464501245.

It is not a de Polignac number, because 542105464241 - 22 = 542105464237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542105464195 and 542105464204.

It is not an unprimeable number, because it can be changed into a prime (542105464247) 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, 29288996 + ... + 29307498.

It is an arithmetic number, because the mean of its divisors is an integer number (19657909440).

Almost surely, 2542105464241 is an apocalyptic number.

It is an amenable number.

542105464241 is a deficient number, since it is larger than the sum of its proper divisors (86947637839).

542105464241 is a wasteful number, since it uses less digits than its factorization.

542105464241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19997.

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 542105464241 its reverse (142464501245), we get a palindrome (684569965486).

The spelling of 542105464241 in words is "five hundred forty-two billion, one hundred five million, four hundred sixty-four thousand, two hundred forty-one".

Divisors: 1 11 19 103 209 1133 1361 1957 14971 18503 21527 25859 140183 203533 284449 351557 1542013 1905809 2663477 3867127 20963899 25182583 29298247 36210371 277008413 398314081 478469077 2593806049 5263159847 28531866539 49282314931 542105464241