Search a number
-
+
243104440320 = 2133357311013
BaseRepresentation
bin1110001001101000100…
…1110110000000000000
3212020111100220010112000
43202122021312000000
512440334214042240
6303403003504000
723364232435140
oct3423211660000
9766440803460
10243104440320
11941111341a5
123b147228000
1319c035c2871
14baa2ac0920
1564cc780430
hex389a276000

243104440320 has 896 divisors, whose sum is σ = 1020663521280. Its totient is φ = 53721169920.

The previous prime is 243104440297. The next prime is 243104440333. The reversal of 243104440320 is 23044401342.

It is a happy number.

243104440320 is a `hidden beast` number, since 24 + 310 + 4 + 4 + 4 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239984134 + ... + 239985146.

Almost surely, 2243104440320 is an apocalyptic number.

243104440320 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 243104440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510331760640).

243104440320 is an abundant number, since it is smaller than the sum of its proper divisors (777559080960).

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

243104440320 is a wasteful number, since it uses less digits than its factorization.

243104440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 243104440320 its reverse (23044401342), we get a palindrome (266148841662).

The spelling of 243104440320 in words is "two hundred forty-three billion, one hundred four million, four hundred forty thousand, three hundred twenty".