Base | Representation |
---|---|
bin | 1101000110101111000010… |
… | …1010110011110000000000 |
3 | 1220000112001221100021010000 |
4 | 3101223300222303300000 |
5 | 3342040331131032030 |
6 | 50351322343040000 |
7 | 3015020216445630 |
oct | 321536052636000 |
9 | 56015057307100 |
10 | 14409358064640 |
11 | 4655a79a81500 |
12 | 1748768a40000 |
13 | 806a48290436 |
14 | 37b5b94126c0 |
15 | 19ec49151860 |
hex | d1af0ab3c00 |
14409358064640 has 5280 divisors, whose sum is σ = 72863253872640. Its totient is φ = 2648687247360.
The previous prime is 14409358064611. The next prime is 14409358064641. The reversal of 14409358064640 is 4646085390441.
14409358064640 is a `hidden beast` number, since 1 + 4 + 40 + 93 + 58 + 0 + 6 + 464 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5280).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14409358064641) by changing a digit.
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 479 ways as a sum of consecutive naturals, for example, 113459512257 + ... + 113459512383.
It is an arithmetic number, because the mean of its divisors is an integer number (13799858688).
Almost surely, 214409358064640 is an apocalyptic number.
14409358064640 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 14409358064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36431626936320).
14409358064640 is an abundant number, since it is smaller than the sum of its proper divisors (58453895808000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14409358064640 is a wasteful number, since it uses less digits than its factorization.
14409358064640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 9953280, while the sum is 54.
The spelling of 14409358064640 in words is "fourteen trillion, four hundred nine billion, three hundred fifty-eight million, sixty-four thousand, six hundred forty".
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