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14441233331220 = 223561179199911027
BaseRepresentation
bin1101001000100101110010…
…0101010011010000010100
31220010120100101021120121220
43102021130211103100110
53343101121213044340
650414113324410340
73020226136652163
oct322113445232024
956116311246556
1014441233331220
114668546808023
1217529839a69b0
13809a58009317
1437cd609273da
151a09b26eeed0
hexd225c953414

14441233331220 has 192 divisors, whose sum is σ = 41352353280000. Its totient is φ = 3764477514240.

The previous prime is 14441233331123. The next prime is 14441233331279. The reversal of 14441233331220 is 2213333214441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309619347 + ... + 1309630373.

It is an arithmetic number, because the mean of its divisors is an integer number (215376840000).

Almost surely, 214441233331220 is an apocalyptic number.

14441233331220 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 14441233331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676176640000).

14441233331220 is an abundant number, since it is smaller than the sum of its proper divisors (26911119948780).

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

14441233331220 is a wasteful number, since it uses less digits than its factorization.

14441233331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 14441233331220 its reverse (2213333214441), we get a palindrome (16654566545661).

The spelling of 14441233331220 in words is "fourteen trillion, four hundred forty-one billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty".