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243141046686720 = 21035572132971149
BaseRepresentation
bin110111010010001010101111…
…101101111101010000000000
31011212220001112121001102100000
4313102022233231331100000
5223332110330422433340
62221041242125200000
7102133234540603500
oct6722125755752000
91155801477042300
10243141046686720
11705215a21a9486
122332a444700000
13a589143a50980
144408137645a00
151d199cb075d30
hexdd22afb7d400

243141046686720 has 6336 divisors, whose sum is σ = 1155894981696000. Its totient is φ = 48505757368320.

The previous prime is 243141046686679. The next prime is 243141046686721. The reversal of 243141046686720 is 27686640141342.

243141046686720 is a `hidden beast` number, since 2 + 4 + 31 + 4 + 1 + 0 + 466 + 86 + 72 + 0 = 666.

243141046686720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243141046686721) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1631819105206 + ... + 1631819105354.

Almost surely, 2243141046686720 is an apocalyptic number.

243141046686720 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 243141046686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577947490848000).

243141046686720 is an abundant number, since it is smaller than the sum of its proper divisors (912753935009280).

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

243141046686720 is a wasteful number, since it uses less digits than its factorization.

243141046686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 243141046686720 in words is "two hundred forty-three trillion, one hundred forty-one billion, forty-six million, six hundred eighty-six thousand, seven hundred twenty".