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4222342421440 = 265111323311271019
BaseRepresentation
bin111101011100010111001…
…110000101101111000000
3112221122121022011222210221
4331130113032011233000
51023134324124441230
612551414535432424
7614024403260053
oct75342716055700
915848538158727
104222342421440
11138875a247780
12582399b25714
1324821bb9b410
14108510858a9a
1574c75b4b27a
hex3d717385bc0

4222342421440 has 896 divisors, whose sum is σ = 12836174561280. Its totient is φ = 1300329676800.

The previous prime is 4222342421413. The next prime is 4222342421449. The reversal of 4222342421440 is 441242432224.

It is a junction number, because it is equal to n+sod(n) for n = 4222342421396 and 4222342421405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222342421449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4143613251 + ... + 4143614269.

It is an arithmetic number, because the mean of its divisors is an integer number (14326087680).

Almost surely, 24222342421440 is an apocalyptic number.

4222342421440 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 4222342421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418087280640).

4222342421440 is an abundant number, since it is smaller than the sum of its proper divisors (8613832139840).

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

4222342421440 is a wasteful number, since it uses less digits than its factorization.

4222342421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 4222342421440 its reverse (441242432224), we get a palindrome (4663584853664).

The spelling of 4222342421440 in words is "four trillion, two hundred twenty-two billion, three hundred forty-two million, four hundred twenty-one thousand, four hundred forty".