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14001331322440 = 235721129167134093
BaseRepresentation
bin1100101110111111000001…
…1000010011111001001000
31211120111212212001010211001
43023233300120103321020
53313344211304304230
645440042305544344
72643364020405100
oct313576030237110
954514785033731
1014001331322440
114508a27576970
1216a16756450b4
137a7420a07ac7
1436594d1c4200
15194317c290ca
hexcbbf0613e48

14001331322440 has 384 divisors, whose sum is σ = 41604326265600. Its totient is φ = 4188304619520.

The previous prime is 14001331322393. The next prime is 14001331322449. The reversal of 14001331322440 is 4422313310041.

It is a happy number.

14001331322440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14001331322399 and 14001331322408.

It is not an unprimeable number, because it can be changed into a prime (14001331322449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104348034 + ... + 104482126.

It is an arithmetic number, because the mean of its divisors is an integer number (108344599650).

Almost surely, 214001331322440 is an apocalyptic number.

14001331322440 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 14001331322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802163132800).

14001331322440 is an abundant number, since it is smaller than the sum of its proper divisors (27602994943160).

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

14001331322440 is a wasteful number, since it uses less digits than its factorization.

14001331322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134325 (or 134314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14001331322440 its reverse (4422313310041), we get a palindrome (18423644632481).

The spelling of 14001331322440 in words is "fourteen trillion, one billion, three hundred thirty-one million, three hundred twenty-two thousand, four hundred forty".