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4424053544340 = 22356110113019199
BaseRepresentation
bin100000001100000111000…
…1000111101010110010100
3120122221020220020201122120
41000120032020331112110
51034440430201404330
613224214313055540
7634425112443423
oct100301610752624
916587226221576
104424053544340
111456259988931
125b54b26b75b0
1326125685c841
141141a7cb92ba
157a12e41ec10
hex4060e23d594

4424053544340 has 192 divisors, whose sum is σ = 12726235468800. Its totient is φ = 1147910400000.

The previous prime is 4424053544329. The next prime is 4424053544347. The reversal of 4424053544340 is 434453504244.

It is a junction number, because it is equal to n+sod(n) for n = 4424053544292 and 4424053544301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424053544347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480923061 + ... + 480932259.

It is an arithmetic number, because the mean of its divisors is an integer number (66282476400).

Almost surely, 24424053544340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424053544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363117734400).

4424053544340 is an abundant number, since it is smaller than the sum of its proper divisors (8302181924460).

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

4424053544340 is a wasteful number, since it uses less digits than its factorization.

4424053544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

The spelling of 4424053544340 in words is "four trillion, four hundred twenty-four billion, fifty-three million, five hundred forty-four thousand, three hundred forty".