Search a number
-
+
14490140625 = 34561072
BaseRepresentation
bin11010111111010110…
…11111111111010001
31101101211202102010000
431133223133333101
5214133434000000
610353502000213
71022036106642
oct153753377721
941354672100
1014490140625
116166341134
122984876069
13149c02140c
149b66236c9
1559c1a0000
hex35fadffd1

14490140625 has 105 divisors (see below), whose sum is σ = 27312091807. Its totient is φ = 7655850000.

The previous prime is 14490140597. The next prime is 14490140633. The reversal of 14490140625 is 52604109441.

The square root of 14490140625 is 120375.

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

14490140625 is a `hidden beast` number, since 1 + 4 + 490 + 140 + 6 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12694754241 + 1795386384 = 112671^2 + 42372^2 .

It is not a de Polignac number, because 14490140625 - 25 = 14490140593 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 14490140625.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 135421822 + ... + 135421928.

Almost surely, 214490140625 is an apocalyptic number.

14490140625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14490140625 is the 120375-th square number.

14490140625 is the 60188-th centered octagonal number.

It is an amenable number.

14490140625 is a deficient number, since it is larger than the sum of its proper divisors (12821951182).

14490140625 is an frugal number, since it uses more digits than its factorization.

14490140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 14490140625 by its sum of digits (36), we get a square (521645062500 = 7222502).

The spelling of 14490140625 in words is "fourteen billion, four hundred ninety million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 107 125 135 225 321 375 405 535 625 675 963 1125 1605 1875 2025 2675 2889 3125 3375 4815 5625 8025 8667 9375 10125 11449 13375 14445 15625 16875 24075 28125 34347 40125 43335 46875 50625 57245 66875 72225 84375 103041 120375 140625 171735 200625 216675 253125 286225 309123 334375 361125 421875 515205 601875 858675 927369 1003125 1083375 1265625 1431125 1545615 1671875 1805625 2576025 3009375 4293375 4636845 5015625 5416875 7155625 7728075 9028125 12880125 15046875 21466875 23184225 27084375 35778125 38640375 45140625 64400625 107334375 115921125 135421875 178890625 193201875 322003125 536671875 579605625 966009375 1610015625 2898028125 4830046875 14490140625