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243001400320 = 2105747144259
BaseRepresentation
bin1110001001010000000…
…0110001110000000000
3212020020012000011012201
43202110000301300000
512440131324302240
6303344443202544
723361541552030
oct3422400616000
9766205004181
10243001400320
1194068a56778
123b118816454
1319bb8156453
14ba9313b8c0
1564c36c9d9a
hex3894031c00

243001400320 has 176 divisors, whose sum is σ = 680371706880. Its totient is φ = 81541545984.

The previous prime is 243001400267. The next prime is 243001400363. The reversal of 243001400320 is 23004100342.

It is a super-2 number, since 2×2430014003202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612351 + ... + 1756609.

Almost surely, 2243001400320 is an apocalyptic number.

243001400320 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 243001400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340185853440).

243001400320 is an abundant number, since it is smaller than the sum of its proper divisors (437370306560).

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

243001400320 is a wasteful number, since it uses less digits than its factorization.

243001400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144338 (or 144320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 243001400320 its reverse (23004100342), we get a palindrome (266005500662).

The spelling of 243001400320 in words is "two hundred forty-three billion, one million, four hundred thousand, three hundred twenty".