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243485424000 = 273253713171093
BaseRepresentation
bin1110001011000011011…
…1001011100110000000
3212021110220210002212200
43202300313023212000
512442124232032000
6303504453353200
723406536645550
oct3426067134600
9767426702780
10243485424000
11942971a0945
123b232938800
1319c645066b0
14badb535160
156500e39500
hex38b0dcb980

243485424000 has 1536 divisors, whose sum is σ = 1140554338560. Its totient is φ = 48306585600.

The previous prime is 243485423927. The next prime is 243485424019. The reversal of 243485424000 is 424584342.

243485424000 is a `hidden beast` number, since 24 + 348 + 54 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222767454 + ... + 222768546.

Almost surely, 2243485424000 is an apocalyptic number.

243485424000 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 243485424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570277169280).

243485424000 is an abundant number, since it is smaller than the sum of its proper divisors (897068914560).

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

243485424000 is a wasteful number, since it uses less digits than its factorization.

243485424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 243485424000 in words is "two hundred forty-three billion, four hundred eighty-five million, four hundred twenty-four thousand".