Search a number
-
+
244800009216 = 2103472931439
BaseRepresentation
bin1110001111111100110…
…1111011010000000000
3212101212112101221210000
43203333031323100000
513002322300243331
6304243133440000
723454241513530
oct3437715732000
9771775357700
10244800009216
1194901250204
123b53b040000
131a11397a279
14bbc3d714c0
15657b55b0e6
hex38ff37b400

244800009216 has 440 divisors, whose sum is σ = 838886146560. Its totient is φ = 69655707648.

The previous prime is 244800009211. The next prime is 244800009229. The reversal of 244800009216 is 612900008442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244800009211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170117425 + ... + 170118863.

It is an arithmetic number, because the mean of its divisors is an integer number (1906559424).

Almost surely, 2244800009216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244800009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419443073280).

244800009216 is an abundant number, since it is smaller than the sum of its proper divisors (594086137344).

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

244800009216 is a wasteful number, since it uses less digits than its factorization.

244800009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 244800009216 in words is "two hundred forty-four billion, eight hundred million, nine thousand, two hundred sixteen".