Base | Representation |
---|---|
bin | 1100110100101000100011… |
… | …0000001000000000000000 |
3 | 1211220210101010120110121000 |
4 | 3031022020300020000000 |
5 | 3321441434001420103 |
6 | 45552412135132000 |
7 | 2653400632041516 |
oct | 315121060100000 |
9 | 54823333513530 |
10 | 14098376982528 |
11 | 45460a7298733 |
12 | 16b8439b14000 |
13 | 7b361842bc07 |
14 | 36a517b264b6 |
15 | 196ae78ddaa3 |
hex | cd288c08000 |
14098376982528 has 512 divisors, whose sum is σ = 44383657392000. Its totient is φ = 4414478745600.
The previous prime is 14098376982523. The next prime is 14098376982589. The reversal of 14098376982528 is 82528967389041.
14098376982528 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 3 + 7 + 6 + 98 + 2 + 528 = 666.
It is a tau number, because it is divible by the number of its divisors (512).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (14098376982523) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949314303 + ... + 949329153.
It is a 1-persistent number, because it is pandigital, but 2⋅14098376982528 = 28196753965056 is not.
Almost surely, 214098376982528 is an apocalyptic number.
14098376982528 is a gapful number since it is divisible by the number (18) 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 14098376982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191828696000).
14098376982528 is an abundant number, since it is smaller than the sum of its proper divisors (30285280409472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14098376982528 is an equidigital number, since it uses as much as digits as its factorization.
14098376982528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14956 (or 14922 counting only the distinct ones).
The product of its (nonzero) digits is 418037760, while the sum is 72.
The spelling of 14098376982528 in words is "fourteen trillion, ninety-eight billion, three hundred seventy-six million, nine hundred eighty-two thousand, five hundred twenty-eight".
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