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243411100124040 = 233352027376929501
BaseRepresentation
bin110111010110000110010000…
…001010000100001110001000
31011220211212121002020102221000
4313112012100022010032020
5223401021413112432130
62221405303215415000
7102161604655132212
oct6726062012041610
91156755532212830
10243411100124040
117061608233aa22
1223372850b24460
13a5a87505a72b4
14441723548d5b2
151d21a34664260
hexdd6190284388

243411100124040 has 256 divisors, whose sum is σ = 812013520032000. Its totient is φ = 64858192128000.

The previous prime is 243411100124011. The next prime is 243411100124051. The reversal of 243411100124040 is 40421001114342.

243411100124040 is a `hidden beast` number, since 2 + 4 + 3 + 411 + 1 + 0 + 0 + 1 + 240 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 243411100123995 and 243411100124013.

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, 8250929290 + ... + 8250958790.

It is an arithmetic number, because the mean of its divisors is an integer number (3171927812625).

Almost surely, 2243411100124040 is an apocalyptic number.

243411100124040 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 243411100124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406006760016000).

243411100124040 is an abundant number, since it is smaller than the sum of its proper divisors (568602419907960).

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

243411100124040 is a wasteful number, since it uses less digits than its factorization.

243411100124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35317 (or 35307 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 243411100124040 its reverse (40421001114342), we get a palindrome (283832101238382).

The spelling of 243411100124040 in words is "two hundred forty-three trillion, four hundred eleven billion, one hundred million, one hundred twenty-four thousand, forty".