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200023201344340 = 2251119972393206153
BaseRepresentation
bin101101011110101110000111…
…110111001110101101010100
3222020020000211211001110200001
4231132232013313032231110
5202204140004021004330
61545225220134501044
760063125252431033
oct5536560767165524
9866200754043601
10200023201344340
11588083aa6237a0
121a525a05504784
13877c150c861ba
14375726316471a
15181d0e0dc19ca
hexb5eb87dceb54

200023201344340 has 192 divisors, whose sum is σ = 487531318659840. Its totient is φ = 68168298332160.

The previous prime is 200023201344313. The next prime is 200023201344347. The reversal of 200023201344340 is 43443102320002.

It is a junction number, because it is equal to n+sod(n) for n = 200023201344299 and 200023201344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200023201344347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970162704 + ... + 970368856.

It is an arithmetic number, because the mean of its divisors is an integer number (2539225618020).

Almost surely, 2200023201344340 is an apocalyptic number.

200023201344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200023201344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243765659329920).

200023201344340 is an abundant number, since it is smaller than the sum of its proper divisors (287508117315500).

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

200023201344340 is a wasteful number, since it uses less digits than its factorization.

200023201344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208682 (or 208680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 200023201344340 its reverse (43443102320002), we get a palindrome (243466303664342).

The spelling of 200023201344340 in words is "two hundred trillion, twenty-three billion, two hundred one million, three hundred forty-four thousand, three hundred forty".