Search a number
-
+
200412231412400 = 245271923163789009
BaseRepresentation
bin101101100100011000011011…
…110111001010101010110000
3222021121012222222202120001022
4231210120123313022222300
5202232023222220144100
61550124035203155012
760133206631440140
oct5544303367125260
9867535888676038
10200412231412400
1158948393994937
121a589296975a68
1387a9a3b996b47
14376c00a442920
1518282ae6b9e85
hexb6461bdcaab0

200412231412400 has 240 divisors, whose sum is σ = 604420756262400. Its totient is φ = 62266029281280.

The previous prime is 200412231412391. The next prime is 200412231412403. The reversal of 200412231412400 is 4214132214002.

200412231412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200412231412400.

It is not an unprimeable number, because it can be changed into a prime (200412231412403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80670905 + ... + 83118104.

It is an arithmetic number, because the mean of its divisors is an integer number (2518419817760).

Almost surely, 2200412231412400 is an apocalyptic number.

200412231412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200412231412400 is an abundant number, since it is smaller than the sum of its proper divisors (404008524850000).

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

200412231412400 is a wasteful number, since it uses less digits than its factorization.

200412231412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163789076 (or 163789065 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 200412231412400 its reverse (4214132214002), we get a palindrome (204626363626402).

The spelling of 200412231412400 in words is "two hundred trillion, four hundred twelve billion, two hundred thirty-one million, four hundred twelve thousand, four hundred".