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242543871360 = 27325735317041
BaseRepresentation
bin1110000111100010111…
…1011100010110000000
3212012001022002021110200
43201320233130112000
512433212212340420
6303231220525200
723344314614250
oct3417057342600
9765038067420
10242543871360
119395376846a
123b00b550800
1319b4442185b
14ba4c47d960
156498450b90
hex3878bdc580

242543871360 has 384 divisors, whose sum is σ = 959949956160. Its totient is φ = 55278305280.

The previous prime is 242543871331. The next prime is 242543871377. The reversal of 242543871360 is 63178345242.

242543871360 is a `hidden beast` number, since 2 + 4 + 2 + 543 + 8 + 71 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 14224440 + ... + 14241480.

Almost surely, 2242543871360 is an apocalyptic number.

242543871360 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 242543871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479974978080).

242543871360 is an abundant number, since it is smaller than the sum of its proper divisors (717406084800).

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

242543871360 is a wasteful number, since it uses less digits than its factorization.

242543871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17426 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 242543871360 in words is "two hundred forty-two billion, five hundred forty-three million, eight hundred seventy-one thousand, three hundred sixty".