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14327197440 = 2835174153101
BaseRepresentation
bin11010101011111011…
…11010111100000000
31100222111011001002020
431111331322330000
5213320230304230
610325401321440
71015020111633
oct152575727400
940874131066
1014327197440
116092369546
12293a196280
13147434012a
1499cb29c1a
1558cc15810
hex355f7af00

14327197440 has 576 divisors, whose sum is σ = 51067884672. Its totient is φ = 3407872000.

The previous prime is 14327197403. The next prime is 14327197459. The reversal of 14327197440 is 4479172341.

It is a junction number, because it is equal to n+sod(n) for n = 14327197392 and 14327197401.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 141853390 + ... + 141853490.

It is an arithmetic number, because the mean of its divisors is an integer number (88659522).

Almost surely, 214327197440 is an apocalyptic number.

14327197440 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 14327197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25533942336).

14327197440 is an abundant number, since it is smaller than the sum of its proper divisors (36740687232).

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

14327197440 is a wasteful number, since it uses less digits than its factorization.

14327197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 14327197440 in words is "fourteen billion, three hundred twenty-seven million, one hundred ninety-seven thousand, four hundred forty".