Base | Representation |
---|---|
bin | 1101001001010111101001… |
… | …1010010100010000000000 |
3 | 1220011211220020011020122000 |
4 | 3102111322122110100000 |
5 | 3343311024334420310 |
6 | 50424205442544000 |
7 | 3021211632316551 |
oct | 322257232242000 |
9 | 56154806136560 |
10 | 14454618670080 |
11 | 4673195454246 |
12 | 175549a668000 |
13 | 80b0ac188284 |
14 | 37d87051c328 |
15 | 1a0ee78bb4c0 |
hex | d257a694400 |
14454618670080 has 1408 divisors, whose sum is σ = 54385969397760. Its totient is φ = 3636371128320.
The previous prime is 14454618670073. The next prime is 14454618670081. The reversal of 14454618670080 is 8007681645441.
14454618670080 is a `hidden beast` number, since 1 + 4 + 4 + 546 + 18 + 6 + 7 + 0 + 0 + 80 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 14454618669999 and 14454618670026.
It is not an unprimeable number, because it can be changed into a prime (14454618670081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30952074007 + ... + 30952074473.
It is an arithmetic number, because the mean of its divisors is an integer number (38626398720).
Almost surely, 214454618670080 is an apocalyptic number.
14454618670080 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 14454618670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27192984698880).
14454618670080 is an abundant number, since it is smaller than the sum of its proper divisors (39931350727680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14454618670080 is a wasteful number, since it uses less digits than its factorization.
14454618670080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712 (or 688 counting only the distinct ones).
The product of its (nonzero) digits is 5160960, while the sum is 54.
The spelling of 14454618670080 in words is "fourteen trillion, four hundred fifty-four billion, six hundred eighteen million, six hundred seventy thousand, eighty".
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