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14130531214050 = 235223311121311783
BaseRepresentation
bin1100110110100000010101…
…0010110010001011100010
31212000212101000102200001210
43031220011102302023202
53323003311442322200
650015250524010550
72655616510354656
oct315500522621342
955025330380053
1014130531214050
1145587a7540799
121702712390a56
137b6670bbc304
1436bcc82d6a66
1519787a6e3650
hexcda054b22e2

14130531214050 has 192 divisors, whose sum is σ = 37753519620096. Its totient is φ = 3487434297600.

The previous prime is 14130531214031. The next prime is 14130531214067. The reversal of 14130531214050 is 5041213503141.

It is a super-3 number, since 3×141305312140503 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14130531213999 and 14130531214017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199224459 + ... + 1199236241.

It is an arithmetic number, because the mean of its divisors is an integer number (196632914688).

Almost surely, 214130531214050 is an apocalyptic number.

14130531214050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130531214050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876759810048).

14130531214050 is an abundant number, since it is smaller than the sum of its proper divisors (23622988406046).

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

14130531214050 is a wasteful number, since it uses less digits than its factorization.

14130531214050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23065 (or 23060 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 14130531214050 its reverse (5041213503141), we get a palindrome (19171744717191).

The spelling of 14130531214050 in words is "fourteen trillion, one hundred thirty billion, five hundred thirty-one million, two hundred fourteen thousand, fifty".