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243420201024 = 263711133734231
BaseRepresentation
bin1110001010110011111…
…0011000000001000000
3212021022101001102202220
43202230332120001000
512442011032413044
6303454203411040
723405115366240
oct3425476300100
9767271042686
10243420201024
11942633a2960
123b214b23a80
1319c53b4b310
14bad29d7b20
1564ea354019
hex38acf98040

243420201024 has 448 divisors, whose sum is σ = 888134725632. Its totient is φ = 56783462400.

The previous prime is 243420200971. The next prime is 243420201041. The reversal of 243420201024 is 420102024342.

243420201024 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 243420200985 and 243420201003.

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, 7093989 + ... + 7128219.

It is an arithmetic number, because the mean of its divisors is an integer number (1982443584).

Almost surely, 2243420201024 is an apocalyptic number.

243420201024 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 243420201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444067362816).

243420201024 is an abundant number, since it is smaller than the sum of its proper divisors (644714524608).

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

243420201024 is a wasteful number, since it uses less digits than its factorization.

243420201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314 (or 34304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 243420201024 its reverse (420102024342), we get a palindrome (663522225366).

It can be divided in two parts, 243420 and 201024, that added together give a palindrome (444444).

The spelling of 243420201024 in words is "two hundred forty-three billion, four hundred twenty million, two hundred one thousand, twenty-four".