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13441122420 = 2235111729101409
BaseRepresentation
bin11001000010010011…
…10100000001110100
31021200201211202122220
430201021310001310
5210011411404140
610101425522340
7654040440555
oct144111640164
937621752586
1013441122420
115778188240
1227314a33b0
1313628b099b
1491719632c
1553a039bd0
hex321274074

13441122420 has 384 divisors, whose sum is σ = 45526924800. Its totient is φ = 2924544000.

The previous prime is 13441122413. The next prime is 13441122451. The reversal of 13441122420 is 2422114431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32863176 + ... + 32863584.

It is an arithmetic number, because the mean of its divisors is an integer number (118559700).

Almost surely, 213441122420 is an apocalyptic number.

13441122420 is a gapful number since it is divisible by the number (10) 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 13441122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763462400).

13441122420 is an abundant number, since it is smaller than the sum of its proper divisors (32085802380).

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

13441122420 is a wasteful number, since it uses less digits than its factorization.

13441122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13441122420 its reverse (2422114431), we get a palindrome (15863236851).

The spelling of 13441122420 in words is "thirteen billion, four hundred forty-one million, one hundred twenty-two thousand, four hundred twenty".