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14301132210420 = 223511101709302593
BaseRepresentation
bin1101000000011011110111…
…1001111100000011110100
31212122011201111022020012220
43100012331321330003310
53333302204321213140
650225503251242340
73004136250042066
oct320067571740364
955564644266186
1014301132210420
114614092337380
12172b7a42a93b0
137c978b500643
1437626dad5736
1519c012ba6bd0
hexd01bde7c0f4

14301132210420 has 192 divisors, whose sum is σ = 44178336679680. Its totient is φ = 3427762176000.

The previous prime is 14301132210419. The next prime is 14301132210427. The reversal of 14301132210420 is 2401223110341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301132210427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47110644 + ... + 47413236.

It is an arithmetic number, because the mean of its divisors is an integer number (230095503540).

Almost surely, 214301132210420 is an apocalyptic number.

14301132210420 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 14301132210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089168339840).

14301132210420 is an abundant number, since it is smaller than the sum of its proper divisors (29877204469260).

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

14301132210420 is a wasteful number, since it uses less digits than its factorization.

14301132210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303426 (or 303424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14301132210420 its reverse (2401223110341), we get a palindrome (16702355320761).

The spelling of 14301132210420 in words is "fourteen trillion, three hundred one billion, one hundred thirty-two million, two hundred ten thousand, four hundred twenty".