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244293621840 = 24345372334373
BaseRepresentation
bin1110001110000100001…
…0001101100001010000
3212100120020112210220000
43203201002031201100
513000303131344330
6304121004050000
723435552344512
oct3434102154120
9770506483800
10244293621840
1194671420944
123b419533900
131a062a99a78
14bb769d5bb2
15654bd80560
hex38e108d850

244293621840 has 400 divisors, whose sum is σ = 875339541648. Its totient is φ = 63097823232.

The previous prime is 244293621839. The next prime is 244293621889. The reversal of 244293621840 is 48126392442.

244293621840 is a `hidden beast` number, since 2 + 4 + 429 + 3 + 6 + 218 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 301091904 + 243992529936 = 17352^2 + 493956^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55861894 + ... + 55866266.

Almost surely, 2244293621840 is an apocalyptic number.

244293621840 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 244293621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437669770824).

244293621840 is an abundant number, since it is smaller than the sum of its proper divisors (631045919808).

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

244293621840 is a wasteful number, since it uses less digits than its factorization.

244293621840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 244293621840 in words is "two hundred forty-four billion, two hundred ninety-three million, six hundred twenty-one thousand, eight hundred forty".