| Base | Representation |
|---|---|
| bin | 1100000011001100101… |
| … | …11101001110100000001 |
| 3 | 1110120200202122120010000 |
| 4 | 12001212113221310001 |
| 5 | 23240420242241100 |
| 6 | 514112120430213 |
| 7 | 41625104540331 |
| oct | 6014627516401 |
| 9 | 1416622576100 |
| 10 | 414034337025 |
| 11 | 14a655653541 |
| 12 | 682ab318369 |
| 13 | 300740b028a |
| 14 | 1607a0570c1 |
| 15 | ab83a60900 |
| hex | 60665e9d01 |
414034337025 has 135 divisors (see below), whose sum is σ = 781080868953. Its totient is φ = 216818596800.
The previous prime is 414034336997. The next prime is 414034337053. The reversal of 414034337025 is 520733430414.
The square root of 414034337025 is 643455.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (414034336997) and next prime (414034337053).
It can be written as a sum of positive squares in 4 ways, for example, as 222211360449 + 191822976576 = 471393^2 + 437976^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 414034337025 - 25 = 414034336993 is a prime.
It is an unprimeable number.
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 134 ways as a sum of consecutive naturals, for example, 2287482435 + ... + 2287482615.
Almost surely, 2414034337025 is an apocalyptic number.
414034337025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
414034337025 is the 643455-th square number.
414034337025 is the 321728-th centered octagonal number.
It is an amenable number.
414034337025 is a deficient number, since it is larger than the sum of its proper divisors (367046531928).
414034337025 is an frugal number, since it uses more digits than its factorization.
414034337025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 542 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 120960, while the sum is 36.
Multiplying 414034337025 by its sum of digits (36), we get a square (14905236132900 = 38607302).
Adding to 414034337025 its reverse (520733430414), we get a palindrome (934767767439).
The spelling of 414034337025 in words is "four hundred fourteen billion, thirty-four million, three hundred thirty-seven thousand, twenty-five".
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