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243403431040 = 2757211292839
BaseRepresentation
bin1110001010101111111…
…0011001110010000000
3212021021012111102200101
43202223332121302000
512441442234243130
6303452404132144
723404523012200
oct3425376316200
9767235442611
10243403431040
1194254989370
123b20b397054
1319c50529153
14bad06b0400
1564e8b401ca
hex38abf99c80

243403431040 has 576 divisors, whose sum is σ = 765675892800. Its totient is φ = 73162629120.

The previous prime is 243403430969. The next prime is 243403431059. The reversal of 243403431040 is 40134304342.

243403431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290110941 + ... + 290111779.

It is an arithmetic number, because the mean of its divisors is an integer number (1329298425).

Almost surely, 2243403431040 is an apocalyptic number.

243403431040 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 243403431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382837946400).

243403431040 is an abundant number, since it is smaller than the sum of its proper divisors (522272461760).

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

243403431040 is a wasteful number, since it uses less digits than its factorization.

243403431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 243403431040 its reverse (40134304342), we get a palindrome (283537735382).

The spelling of 243403431040 in words is "two hundred forty-three billion, four hundred three million, four hundred thirty-one thousand, forty".