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324142241423 = 711134310174561
BaseRepresentation
bin1001011011110000110…
…00100001011010001111
31010222200000210221222212
410231320120201122033
520302320403211143
6404524153101035
732263355410010
oct4557030413217
91128600727885
10324142241423
11115516932640
12529a26b777b
132474973b570
141198d607007
158671dea918
hex4b7862168f

324142241423 has 64 divisors (see below), whose sum is σ = 449748440064. Its totient is φ = 225469440000.

The previous prime is 324142241417. The next prime is 324142241429.

It is a happy number.

324142241423 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (324142241417) and next prime (324142241429).

It is not a de Polignac number, because 324142241423 - 216 = 324142175887 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 324142241423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324142241429) 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 63 ways as a sum of consecutive naturals, for example, 4310063 + ... + 4384623.

It is an arithmetic number, because the mean of its divisors is an integer number (7027319376).

Almost surely, 2324142241423 is an apocalyptic number.

324142241423 is a deficient number, since it is larger than the sum of its proper divisors (125606198641).

324142241423 is a wasteful number, since it uses less digits than its factorization.

324142241423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74736.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 324142 and 241423, that added together give a palindrome (565565).

The spelling of 324142241423 in words is "three hundred twenty-four billion, one hundred forty-two million, two hundred forty-one thousand, four hundred twenty-three".

Divisors: 1 7 11 13 43 77 91 101 143 301 473 559 707 1001 1111 1313 3311 3913 4343 6149 7777 9191 14443 30401 43043 47773 56459 74561 101101 334411 395213 521927 621049 820171 969293 3206123 4347343 5741197 6785051 7530661 10662223 22442861 35267353 41679599 52714627 74635561 82837271 97898593 246871471 291757193 323818423 458475589 579860897 685290151 1076884523 2266728961 3209329123 3562002653 4209639499 7538191661 24934018571 29467476493 46306034489 324142241423