Search a number
-
+
421024412044440 = 233251789653724011
BaseRepresentation
bin101111110111010110110001…
…0100001011000110010011000
32001012201112121011201101200200
41133232231202201120302120
5420141030443440410230
64051235540022302200
7154453003263451431
oct13756554241306230
92035645534641620
10421024412044440
111121734a5573966
123b279427887960
13150c057c594219
1475d7994166488
1533a1c279ae160
hex17eeb62858c98

421024412044440 has 96 divisors (see below), whose sum is σ = 1369094198331600. Its totient is φ = 112210418868480.

The previous prime is 421024412044433. The next prime is 421024412044531. The reversal of 421024412044440 is 44440214420124.

421024412044440 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 2 + 4 + 4 + 1 + 204 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421024412044395 and 421024412044404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326217966 + ... + 327506045.

Almost surely, 2421024412044440 is an apocalyptic number.

421024412044440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421024412044440 is an abundant number, since it is smaller than the sum of its proper divisors (948069786287160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421024412044440 is a wasteful number, since it uses less digits than its factorization.

421024412044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653725817 (or 653725810 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 421024412044440 its reverse (44440214420124), we get a palindrome (465464626464564).

The spelling of 421024412044440 in words is "four hundred twenty-one trillion, twenty-four billion, four hundred twelve million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1789 3578 5367 7156 8945 10734 14312 16101 17890 21468 26835 32202 35780 42936 53670 64404 71560 80505 107340 128808 161010 214680 322020 644040 653724011 1307448022 1961172033 2614896044 3268620055 3922344066 5229792088 5883516099 6537240110 7844688132 9805860165 11767032198 13074480220 15689376264 19611720330 23534064396 26148960440 29417580495 39223440660 47068128792 58835160990 78446881320 117670321980 235340643960 1169512255679 2339024511358 3508536767037 4678049022716 5847561278395 7017073534074 9356098045432 10525610301111 11695122556790 14034147068148 17542683835185 21051220602222 23390245113580 28068294136296 35085367670370 42102441204444 46780490227160 52628051505555 70170735340740 84204882408888 105256103011110 140341470681480 210512206022220 421024412044440