Search a number
-
+
1325405043225 = 34523753333769
BaseRepresentation
bin10011010010011000010…
…010111111101000011001
311200201002202102100220000
4103102120102333220121
5133203412142340400
62452514353523213
7164520525660654
oct23223022775031
94621082370800
101325405043225
1147111265918a
12194a57573509
1397ca65198b3
144821564a89b
1524724455600
hex134984bfa19

1325405043225 has 120 divisors (see below), whose sum is σ = 2569045046040. Its totient is φ = 674798791680.

The previous prime is 1325405043217. The next prime is 1325405043227. The reversal of 1325405043225 is 5223405045231.

1325405043225 is a `hidden beast` number, since 1 + 3 + 2 + 540 + 50 + 43 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 394149162969 + 931255880256 = 627813^2 + 965016^2 .

It is not a de Polignac number, because 1325405043225 - 23 = 1325405043217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1325405043225.

It is not an unprimeable number, because it can be changed into a prime (1325405043227) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3804141 + ... + 4137909.

It is an arithmetic number, because the mean of its divisors is an integer number (21408708717).

Almost surely, 21325405043225 is an apocalyptic number.

1325405043225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1325405043225 is a deficient number, since it is larger than the sum of its proper divisors (1243640002815).

1325405043225 is a wasteful number, since it uses less digits than its factorization.

1325405043225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333881 (or 333867 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 1325405043225 in words is "one trillion, three hundred twenty-five billion, four hundred five million, forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 53 75 81 111 135 159 185 225 265 333 405 477 555 675 795 925 999 1325 1431 1665 1961 2025 2385 2775 2997 3975 4293 4995 5883 7155 8325 9805 11925 14985 17649 21465 24975 29415 35775 49025 52947 74925 88245 107325 147075 158841 264735 333769 441225 794205 1001307 1323675 1668845 3003921 3971025 5006535 8344225 9011763 12349453 15019605 17689757 25032675 27035289 37048359 45058815 53069271 61747265 75098025 88448785 111145077 135176445 159207813 185241795 225294075 265346355 308736325 333435231 442243925 477623439 555725385 654521009 675882225 796039065 926208975 1000305693 1326731775 1432870317 1667176155 1963563027 2388117195 2778626925 3272605045 3980195325 5001528465 5890689081 7164351585 8335880775 9817815135 11940585975 16363025225 17672067243 25007642325 29453445405 35821757925 49089075675 53016201729 88360336215 147267227025 265081008645 441801681075 1325405043225