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244066070160 = 243551121943127
BaseRepresentation
bin1110001101001101111…
…0001010111010010000
3212022222101100222200000
43203103132022322100
512444321403221120
6304042234530000
723430120236523
oct3432336127220
9768871328600
10244066070160
1194564a2aa00
123b375296900
131a0278b6cc3
14bb546c0bba
156536dd2990
hex38d378ae90

244066070160 has 1440 divisors, whose sum is σ = 1014281748480. Its totient is φ = 54318781440.

The previous prime is 244066070153. The next prime is 244066070167. The reversal of 244066070160 is 61070660442.

244066070160 is a `hidden beast` number, since 2 + 4 + 40 + 6 + 607 + 0 + 1 + 6 + 0 = 666.

244066070160 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 (244066070153) and next prime (244066070167).

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 (244066070167) 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 287 ways as a sum of consecutive naturals, for example, 1921780017 + ... + 1921780143.

Almost surely, 2244066070160 is an apocalyptic number.

244066070160 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 244066070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507140874240).

244066070160 is an abundant number, since it is smaller than the sum of its proper divisors (770215678320).

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

244066070160 is a wasteful number, since it uses less digits than its factorization.

244066070160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 244066070160 in words is "two hundred forty-four billion, sixty-six million, seventy thousand, one hundred sixty".