Search a number
-
+
42205133550411 = 32133167783171671
BaseRepresentation
bin10011001100010101001011…
…11111100011001101001011
312112102202211022201221001200
421212022211333203031023
521012442103142103121
6225432434245115243
711614135361002056
oct1146124577431513
9175382738657050
1042205133550411
11124a21076704a7
1248977799b8b23
131a71c088693a0
14a5ca4cb53a9d
154d2cbbba5a26
hex2662a5fe334b

42205133550411 has 48 divisors (see below), whose sum is σ = 67771644874752. Its totient is φ = 25134053630400.

The previous prime is 42205133550401. The next prime is 42205133550421. The reversal of 42205133550411 is 11405533150224.

42205133550411 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 5 + 133 + 5 + 504 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (42205133550401) and next prime (42205133550421).

It is not a de Polignac number, because 42205133550411 - 218 = 42205133288267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42205133550401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245763106 + ... + 245934776.

It is an arithmetic number, because the mean of its divisors is an integer number (1411909268224).

Almost surely, 242205133550411 is an apocalyptic number.

42205133550411 is a deficient number, since it is larger than the sum of its proper divisors (25566511324341).

42205133550411 is a wasteful number, since it uses less digits than its factorization.

42205133550411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239504 (or 239501 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42205133550411 in words is "forty-two trillion, two hundred five billion, one hundred thirty-three million, five hundred fifty thousand, four hundred eleven".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 67783 171671 203349 515013 610047 881179 1545039 2101273 2231723 2643537 5321801 6303819 6695169 7930611 15965403 18911457 20085507 27316549 47896209 69183413 81949647 207550239 245848941 622650717 11636375393 34909126179 104727378537 151272880109 360727637183 453818640327 1082182911549 1361455920981 3246548734647 4689459283379 14068377850137 42205133550411