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4241223241440 = 2535173297117191
BaseRepresentation
bin111101101101111100100…
…110101100111011100000
3120000110100010210000201120
4331231330212230323200
51023442011122211230
613004220245132240
7615263315505363
oct75557446547340
916013303700646
104241223241440
111395768a51249
12585b890ba080
13249c3a73b263
141093c224c0da
15754cd4e3310
hex3db7c9acee0

4241223241440 has 192 divisors, whose sum is σ = 13442382438912. Its totient is φ = 1124011468800.

The previous prime is 4241223241393. The next prime is 4241223241441. The reversal of 4241223241440 is 441423221424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241223241441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246703245 + ... + 246720435.

It is an arithmetic number, because the mean of its divisors is an integer number (70012408536).

Almost surely, 24241223241440 is an apocalyptic number.

4241223241440 is a gapful number since it is divisible by the number (40) 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 4241223241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721191219456).

4241223241440 is an abundant number, since it is smaller than the sum of its proper divisors (9201159197472).

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

4241223241440 is a wasteful number, since it uses less digits than its factorization.

4241223241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20353 (or 20345 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4241223241440 its reverse (441423221424), we get a palindrome (4682646462864).

The spelling of 4241223241440 in words is "four trillion, two hundred forty-one billion, two hundred twenty-three million, two hundred forty-one thousand, four hundred forty".