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243045547421040 = 243457131725371379
BaseRepresentation
bin110111010000110001110011…
…100001001010110101110000
31011212112221001002100001220000
4313100301303201022311300
5223324024240114433130
62220525325540350000
7102123314144334420
oct6720616341126560
91155487032301800
10243045547421040
1170495046375721
1223313a320a5300
13a580134814040
144403678242480
151d1728c022260
hexdd0c7384ad70

243045547421040 has 4800 divisors, whose sum is σ = 1143311483381760. Its totient is φ = 46562717859840.

The previous prime is 243045547420981. The next prime is 243045547421143. The reversal of 243045547421040 is 40124745540342.

243045547421040 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 4 + 554 + 7 + 42 + 10 + 40 = 666.

It is a super-2 number, since 2×2430455474210402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 641281127571 + ... + 641281127949.

Almost surely, 2243045547421040 is an apocalyptic number.

243045547421040 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 243045547421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571655741690880).

243045547421040 is an abundant number, since it is smaller than the sum of its proper divisors (900265935960720).

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

243045547421040 is a wasteful number, since it uses less digits than its factorization.

243045547421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 243045547421040 in words is "two hundred forty-three trillion, forty-five billion, five hundred forty-seven million, four hundred twenty-one thousand, forty".