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243368543040 = 2635735912527
BaseRepresentation
bin1110001010100111100…
…1010100001101000000
3212021011202211221100020
43202221321110031000
512441404321334130
6303445120253440
723403620325000
oct3425171241500
9767152757306
10243368543040
119423721a507
123b1bb771280
1319c4623236c
14bac9bcc000
1564e5a4ce10
hex38a9e54340

243368543040 has 448 divisors, whose sum is σ = 916448256000. Its totient is φ = 54679898112.

The previous prime is 243368542973. The next prime is 243368543071. The reversal of 243368543040 is 40345863342.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 243368542983 and 243368543001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19421257 + ... + 19433783.

Almost surely, 2243368543040 is an apocalyptic number.

243368543040 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 243368543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458224128000).

243368543040 is an abundant number, since it is smaller than the sum of its proper divisors (673079712960).

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

243368543040 is a wasteful number, since it uses less digits than its factorization.

243368543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 243368543040 in words is "two hundred forty-three billion, three hundred sixty-eight million, five hundred forty-three thousand, forty".