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1304433450225 = 3252172331463641
BaseRepresentation
bin10010111110110110010…
…010101101110011110001
311121200222012200001121100
4102332312102231303301
5132332434430401400
62435125355515013
7163146035245263
oct22766622556361
94550865601540
101304433450225
11463230748a44
12190984158a69
139601376c979
14471c62cdb33
1523de826a100
hex12fb64adcf1

1304433450225 has 72 divisors (see below), whose sum is σ = 2484438621912. Its totient is φ = 651963801600.

The previous prime is 1304433450209. The next prime is 1304433450241. The reversal of 1304433450225 is 5220543344031.

1304433450225 is a `hidden beast` number, since 1 + 304 + 4 + 3 + 345 + 0 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1304433450209) and next prime (1304433450241).

It can be written as a sum of positive squares in 12 ways, for example, as 599619471201 + 704813979024 = 774351^2 + 839532^2 .

It is not a de Polignac number, because 1304433450225 - 24 = 1304433450209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1304433450225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159405 + ... + 1623045.

It is an arithmetic number, because the mean of its divisors is an integer number (34506091971).

Almost surely, 21304433450225 is an apocalyptic number.

1304433450225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1304433450225 is a deficient number, since it is larger than the sum of its proper divisors (1180005171687).

1304433450225 is a wasteful number, since it uses less digits than its factorization.

1304433450225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463907 (or 1463899 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 1304433450225 its reverse (5220543344031), we get a palindrome (6524976794256).

The spelling of 1304433450225 in words is "one trillion, three hundred four billion, four hundred thirty-three million, four hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 233 255 425 699 765 1165 1275 2097 3495 3825 3961 5825 10485 11883 17475 19805 35649 52425 59415 99025 178245 297075 891225 1463641 4390923 7318205 13172769 21954615 24881897 36591025 65863845 74645691 109773075 124409485 223937073 329319225 341028353 373228455 622047425 1023085059 1119685365 1705141765 1866142275 3069255177 5115425295 5598426825 5797482001 8525708825 15346275885 17392446003 25577126475 28987410005 52177338009 76731379425 86962230015 144937050025 260886690045 434811150075 1304433450225