Search a number
-
+
422041180743 = 327131978273163
BaseRepresentation
bin1100010010000111001…
…11010101101001000111
31111100100202221100211100
412021003213111221013
523403320020240433
6521514423111143
742330400563120
oct6110347255107
91440322840740
10422041180743
11152a94275756
12699648a24b3
1330a4bb7b420
14165d95c3047
15aea195db13
hex62439d5a47

422041180743 has 96 divisors (see below), whose sum is σ = 755254596096. Its totient is φ = 221147345664.

The previous prime is 422041180663. The next prime is 422041180751. The reversal of 422041180743 is 347081140224.

It is not a de Polignac number, because 422041180743 - 210 = 422041179719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 422041180698 and 422041180707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422041130743) 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 95 ways as a sum of consecutive naturals, for example, 133429080 + ... + 133432242.

It is an arithmetic number, because the mean of its divisors is an integer number (7867235376).

Almost surely, 2422041180743 is an apocalyptic number.

422041180743 is a deficient number, since it is larger than the sum of its proper divisors (333213415353).

422041180743 is a wasteful number, since it uses less digits than its factorization.

422041180743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 422041180743 in words is "four hundred twenty-two billion, forty-one million, one hundred eighty thousand, seven hundred forty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 197 273 591 819 827 1379 1773 2481 2561 3163 4137 5789 7443 7683 9489 10751 12411 17367 17927 22141 23049 28467 32253 41119 52101 53781 66423 75257 96759 123357 161343 162919 199269 225771 287833 370071 488757 623111 677313 863499 1140433 1466271 1869333 2117947 2590497 2615801 3421299 4361777 5607999 6353841 7847403 8100443 10263897 13085331 14825629 18310607 19061523 23542209 24301329 34005413 39255993 44476887 54931821 56703101 72903987 102016239 133430661 164795463 170109303 238037891 306048717 510327909 515312797 714113673 1545938391 2142341019 3607189579 4637815173 6699066361 10821568737 20097199083 32464706211 46893464527 60291597249 140680393581 422041180743