| Base | Representation |
|---|---|
| bin | 1100101101011001100111… |
| … | …0100101010101110010000 |
| 3 | 1211110220121201001212110101 |
| 4 | 3023112121310222232100 |
| 5 | 3312422433442200131 |
| 6 | 45415341152142144 |
| 7 | 2641411312335400 |
| oct | 313263164525620 |
| 9 | 54426551055411 |
| 10 | 13974109334416 |
| 11 | 44a8428462400 |
| 12 | 1698338b37954 |
| 13 | 7a49a304199a |
| 14 | 3644c9ab8800 |
| 15 | 193772e44c61 |
| hex | cb599d2ab90 |
13974109334416 has 405 divisors, whose sum is σ = 35438970922803. Its totient is φ = 5318406213120.
The previous prime is 13974109334411. The next prime is 13974109334431. The reversal of 13974109334416 is 61443390147931.
The square root of 13974109334416 is 3738196.
It is a perfect power (a square), and thus also a powerful number.
13974109334416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 6480181184400 + 7493928150016 = 2545620^2 + 2737504^2 .
It is a super-3 number, since 3×139741093344163 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (13974109334411) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61022311390 + ... + 61022311618.
Almost surely, 213974109334416 is an apocalyptic number.
13974109334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
13974109334416 is the 3738196-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13974109334416
13974109334416 is an abundant number, since it is smaller than the sum of its proper divisors (21464861588387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13974109334416 is an equidigital number, since it uses as much as digits as its factorization.
13974109334416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 608 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 5878656, while the sum is 55.
The spelling of 13974109334416 in words is "thirteen trillion, nine hundred seventy-four billion, one hundred nine million, three hundred thirty-four thousand, four hundred sixteen".
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