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14412554226500 = 225329712269733
BaseRepresentation
bin1101000110111010111100…
…1011001100101101000100
31220000211022200111002221012
43101232233023030231010
53342113402340222000
650353011435541352
73015162346412033
oct321565713145504
956024280432835
1014412554226500
11465736a143191
1217492bb2ba858
138071374b6c81
1437b7ddabc71a
1519ed84a42735
hexd1baf2ccb44

14412554226500 has 288 divisors, whose sum is σ = 33195522578400. Its totient is φ = 5459970432000.

The previous prime is 14412554226487. The next prime is 14412554226547. The reversal of 14412554226500 is 562245521441.

It can be written as a sum of positive squares in 16 ways, for example, as 9265400263744 + 5147153962756 = 3043912^2 + 2268734^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19662420134 + ... + 19662420866.

It is an arithmetic number, because the mean of its divisors is an integer number (115262231175).

Almost surely, 214412554226500 is an apocalyptic number.

14412554226500 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 14412554226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597761289200).

14412554226500 is an abundant number, since it is smaller than the sum of its proper divisors (18782968351900).

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

14412554226500 is a wasteful number, since it uses less digits than its factorization.

14412554226500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 14412554226500 its reverse (562245521441), we get a palindrome (14974799747941).

The spelling of 14412554226500 in words is "fourteen trillion, four hundred twelve billion, five hundred fifty-four million, two hundred twenty-six thousand, five hundred".