Search a number
-
+
200144032404024 = 23317946588461919
BaseRepresentation
bin101101100000011110101001…
…111101001001001000111000
3222020122120201202000021201210
4231200132221331021020320
5202213124434243412044
61545400522115443120
760104633462461002
oct5540365175111070
9866576652007653
10200144032404024
11588546756032a5
121a5453075b64a0
13878a6693a9857
14375d0469dd372
151821313cd71b9
hexb607a9f49238

200144032404024 has 32 divisors (see below), whose sum is σ = 503155388736000. Its totient is φ = 66341969771232.

The previous prime is 200144032403983. The next prime is 200144032404101. The reversal of 200144032404024 is 420404230441002.

It is a junction number, because it is equal to n+sod(n) for n = 200144032403982 and 200144032404000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23294226664 + ... + 23294235255.

It is an arithmetic number, because the mean of its divisors is an integer number (15723605898000).

Almost surely, 2200144032404024 is an apocalyptic number.

200144032404024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200144032404024 is an abundant number, since it is smaller than the sum of its proper divisors (303011356331976).

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

200144032404024 is a wasteful number, since it uses less digits than its factorization.

200144032404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46588462107 (or 46588462103 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 200144032404024 its reverse (420404230441002), we get a palindrome (620548262845026).

The spelling of 200144032404024 in words is "two hundred trillion, one hundred forty-four billion, thirty-two million, four hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 4296 46588461919 93176923838 139765385757 186353847676 279530771514 372707695352 559061543028 1118123086056 8339334683501 16678669367002 25018004050503 33357338734004 50036008101006 66714677468008 100072016202012 200144032404024