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242316383232 = 21037111760259
BaseRepresentation
bin1110000110101100101…
…1101001010000000000
3212011110110000200102110
43201223023221100000
512432230443230412
6303152453015320
723335553162460
oct3415313512000
9764413020373
10242316383232
1193847310250
123ab67324540
1319b092619b1
14ba2a183ba0
1564834b6d3c
hex386b2e9400

242316383232 has 352 divisors, whose sum is σ = 852610544640. Its totient is φ = 59236024320.

The previous prime is 242316383227. The next prime is 242316383273. The reversal of 242316383232 is 232383613242.

It is a tau number, because it is divible by the number of its divisors (352).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3991119 + ... + 4051377.

Almost surely, 2242316383232 is an apocalyptic number.

242316383232 is a gapful number since it is divisible by the number (22) 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 242316383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426305272320).

242316383232 is an abundant number, since it is smaller than the sum of its proper divisors (610294161408).

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

242316383232 is a wasteful number, since it uses less digits than its factorization.

242316383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60317 (or 60299 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

Adding to 242316383232 its reverse (232383613242), we get a palindrome (474699996474).

The spelling of 242316383232 in words is "two hundred forty-two billion, three hundred sixteen million, three hundred eighty-three thousand, two hundred thirty-two".