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243032202144 = 253353107193257
BaseRepresentation
bin1110001001010111011…
…0010001101110100000
3212020022022222001101000
43202111312101232200
512440212220432034
6303351503312000
723362364430204
oct3422566215640
9766268861330
10243032202144
1194084384626
123b126bab600
1319bc164c394
14ba97278b04
1564c6261599
hex3895d91ba0

243032202144 has 384 divisors, whose sum is σ = 735596225280. Its totient is φ = 78026637312.

The previous prime is 243032202139. The next prime is 243032202163. The reversal of 243032202144 is 441202230342.

243032202144 is a `hidden beast` number, since 2 + 430 + 3 + 220 + 2 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 945650464 + ... + 945650720.

It is an arithmetic number, because the mean of its divisors is an integer number (1915615170).

Almost surely, 2243032202144 is an apocalyptic number.

243032202144 is a gapful number since it is divisible by the number (24) 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 243032202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367798112640).

243032202144 is an abundant number, since it is smaller than the sum of its proper divisors (492564023136).

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

243032202144 is a wasteful number, since it uses less digits than its factorization.

243032202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 243032202144 its reverse (441202230342), we get a palindrome (684234432486).

The spelling of 243032202144 in words is "two hundred forty-three billion, thirty-two million, two hundred two thousand, one hundred forty-four".