Search a number
-
+
244012664400 = 243524117772791
BaseRepresentation
bin1110001101000001001…
…0011100011001010000
3212022211122212200201220
43203100102130121100
512444214220230100
6304033050125040
723425601265561
oct3432022343120
9768748780656
10244012664400
119453787340a
123b35b420780
131a01980866b
14bb4b57c168
156532383aa0
hex38d049c650

244012664400 has 240 divisors, whose sum is σ = 801456286848. Its totient is φ = 63424512000.

The previous prime is 244012664387. The next prime is 244012664407. The reversal of 244012664400 is 4466210442.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244012664407) 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, 87427005 + ... + 87429795.

Almost surely, 2244012664400 is an apocalyptic number.

244012664400 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 244012664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400728143424).

244012664400 is an abundant number, since it is smaller than the sum of its proper divisors (557443622448).

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

244012664400 is a wasteful number, since it uses less digits than its factorization.

244012664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 244012664400 its reverse (4466210442), we get a palindrome (248478874842).

The spelling of 244012664400 in words is "two hundred forty-four billion, twelve million, six hundred sixty-four thousand, four hundred".