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14101203320320 = 29547331523677
BaseRepresentation
bin1100110100110011000100…
…1101101111111000000000
31211221001200002211022011111
43031030301031233320000
53322013231022222240
645554000421253104
72653530651363424
oct315146115577000
954831602738144
1014101203320320
114547317725096
1216b8aa8564194
137b3978b4b23c
1436a705244b84
15196c10acc1ea
hexcd33136fe00

14101203320320 has 320 divisors, whose sum is σ = 34750990365696. Its totient is φ = 5485155287040.

The previous prime is 14101203320297. The next prime is 14101203320329. The reversal of 14101203320320 is 2302330210141.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 14101203320291 and 14101203320300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101203320329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20828955822 + ... + 20828956498.

Almost surely, 214101203320320 is an apocalyptic number.

14101203320320 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 14101203320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375495182848).

14101203320320 is an abundant number, since it is smaller than the sum of its proper divisors (20649787045376).

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

14101203320320 is an equidigital number, since it uses as much as digits as its factorization.

14101203320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 14101203320320 its reverse (2302330210141), we get a palindrome (16403533530461).

The spelling of 14101203320320 in words is "fourteen trillion, one hundred one billion, two hundred three million, three hundred twenty thousand, three hundred twenty".