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244275799040 = 2105713524287
BaseRepresentation
bin1110001101111111111…
…0001110010000000000
3212100112000000022121022
43203133332032100000
513000234101032130
6304115130045012
723435245014140
oct3433776162000
9770460008538
10244275799040
1194662358359
123b413579768
131a05c199630
14bb744b6920
15654a50e7e5
hex38dff8e400

244275799040 has 176 divisors, whose sum is σ = 721202184192. Its totient is φ = 77309116416.

The previous prime is 244275799037. The next prime is 244275799043. The reversal of 244275799040 is 40997572442.

244275799040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244275799037) and next prime (244275799043).

It is not an unprimeable number, because it can be changed into a prime (244275799043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203777 + ... + 728063.

Almost surely, 2244275799040 is an apocalyptic number.

244275799040 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 244275799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360601092096).

244275799040 is an abundant number, since it is smaller than the sum of its proper divisors (476926385152).

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

244275799040 is a wasteful number, since it uses less digits than its factorization.

244275799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524332 (or 524314 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 244275799040 in words is "two hundred forty-four billion, two hundred seventy-five million, seven hundred ninety-nine thousand, forty".