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4119714225 = 32521123892
BaseRepresentation
bin1111010110001101…
…1101100110110001
3101122002222011111100
43311203131212301
531414121323400
61520443435013
7204042664434
oct36543354661
911562864440
104119714225
111824520300
1296b825a69
13508678533
142b11d781b
15191a21100
hexf58dd9b1

4119714225 has 81 divisors (see below), whose sum is σ = 8131557889. Its totient is φ = 1992302400.

The previous prime is 4119714223. The next prime is 4119714233. The reversal of 4119714225 is 5224179114.

The square root of 4119714225 is 64185.

It is a perfect power (a square), and thus also a powerful number.

4119714225 is a `hidden beast` number, since 41 + 197 + 1 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 684816561 + 3434897664 = 26169^2 + 58608^2 .

It is not a de Polignac number, because 4119714225 - 21 = 4119714223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4119714225.

It is not an unprimeable number, because it can be changed into a prime (4119714223) 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 80 ways as a sum of consecutive naturals, for example, 10590331 + ... + 10590719.

Almost surely, 24119714225 is an apocalyptic number.

4119714225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4119714225 is the 64185-th square number.

4119714225 is the 32093-rd centered octagonal number.

It is an amenable number.

4119714225 is a deficient number, since it is larger than the sum of its proper divisors (4011843664).

4119714225 is a wasteful number, since it uses less digits than its factorization.

4119714225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 4119714225 is about 1603.0818497785.

Multiplying 4119714225 by its sum of digits (36), we get a square (148309712100 = 3851102).

The spelling of 4119714225 in words is "four billion, one hundred nineteen million, seven hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 389 495 605 825 1089 1167 1815 1945 2475 3025 3501 4279 5445 5835 9075 9725 12837 17505 21395 27225 29175 38511 47069 64185 87525 106975 141207 151321 192555 235345 320925 423621 453963 706035 756605 962775 1176725 1361889 1664531 2118105 2269815 3530175 3783025 4993593 6809445 8322655 10590525 11349075 14980779 18309841 24967965 34047225 41613275 54929523 74903895 91549205 124839825 164788569 274647615 374519475 457746025 823942845 1373238075 4119714225