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542614031103045 = 351167163301123513
BaseRepresentation
bin111101101100000010010110…
…0100100101111010001000101
32122011020101122210012110010110
41323120010230210233101011
51032110142013430244140
65202013240012343233
7222202366346004456
oct17330045444572105
92564211583173113
10542614031103045
11147991355703650
1250a36299174b19
131a3a038c02bc45
1497dc932d1b12d
1542ae98218e380
hex1ed812c92f445

542614031103045 has 64 divisors (see below), whose sum is σ = 967141275300864. Its totient is φ = 257569007224320.

The previous prime is 542614031102951. The next prime is 542614031103047. The reversal of 542614031103045 is 540301130416245.

It is not a de Polignac number, because 542614031103045 - 210 = 542614031102021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542614031102994 and 542614031103012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542614031103047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148759792 + ... + 152363721.

It is an arithmetic number, because the mean of its divisors is an integer number (15111582426576).

Almost surely, 2542614031103045 is an apocalyptic number.

542614031103045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542614031103045 is a deficient number, since it is larger than the sum of its proper divisors (424527244197819).

542614031103045 is a wasteful number, since it uses less digits than its factorization.

542614031103045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301123762.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 542614031103045 in words is "five hundred forty-two trillion, six hundred fourteen billion, thirty-one million, one hundred three thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 67 163 165 201 335 489 737 815 1005 1793 2211 2445 3685 5379 8965 10921 11055 26895 32763 54605 120131 163815 360393 600655 1801965 301123513 903370539 1505617565 3312358643 4516852695 9937075929 16561793215 20175275371 49083132619 49685379645 60525826113 100876376855 147249397857 221928029081 245415663095 302629130565 539914458809 665784087243 736246989285 1109640145405 1619743376427 2699572294045 3288569885473 3328920436215 8098716882135 9865709656419 16442849427365 36174268740203 49328548282095 108522806220609 180871343701015 542614031103045