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14044243432340 = 22511237414322069
BaseRepresentation
bin1100110001011110111000…
…1001000001001110010100
31211201121122110202012002202
43030113232021001032110
53320100102304313330
645511500353224032
72646443305334162
oct314275611011624
954647573665082
1014044243432340
114525148315200
1216a9a50862018
137ab49c1ab104
14367a6043a232
151954ca1e3445
hexcc5ee241394

14044243432340 has 432 divisors, whose sum is σ = 34934519788560. Its totient is φ = 4732748697600.

The previous prime is 14044243432321. The next prime is 14044243432363. The reversal of 14044243432340 is 4323434244041.

It can be written as a sum of positive squares in 8 ways, for example, as 1345126761616 + 12699116670724 = 1159796^2 + 3563582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14044243432294 and 14044243432303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6787936826 + ... + 6787938894.

It is an arithmetic number, because the mean of its divisors is an integer number (80866943955).

Almost surely, 214044243432340 is an apocalyptic number.

14044243432340 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 14044243432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467259894280).

14044243432340 is an abundant number, since it is smaller than the sum of its proper divisors (20890276356220).

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

14044243432340 is a wasteful number, since it uses less digits than its factorization.

14044243432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 14044243432340 its reverse (4323434244041), we get a palindrome (18367677676381).

The spelling of 14044243432340 in words is "fourteen trillion, forty-four billion, two hundred forty-three million, four hundred thirty-two thousand, three hundred forty".