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114432170450 = 25213821214433
BaseRepresentation
bin110101010010010110…
…0000101100111010010
3101221100222022120020012
41222210230011213102
53333324113423300
6124322554314522
711160510254123
oct1524454054722
9357328276205
10114432170450
1144591a823a4
121a217128a42
13aa38814a80
145777ab404a
152e9b288435
hex1aa4b059d2

114432170450 has 48 divisors (see below), whose sum is σ = 229496701896. Its totient is φ = 42200217600.

The previous prime is 114432170449. The next prime is 114432170453. The reversal of 114432170450 is 54071234411.

It can be written as a sum of positive squares in 12 ways, for example, as 10858265209 + 103573905241 = 104203^2 + 321829^2 .

It is not an unprimeable number, because it can be changed into a prime (114432170453) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 426434 + ... + 640866.

Almost surely, 2114432170450 is an apocalyptic number.

114432170450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114432170450 is an abundant number, since it is smaller than the sum of its proper divisors (115064531446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114432170450 is a wasteful number, since it uses less digits than its factorization.

114432170450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215279 (or 215274 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 114432170450 in words is "one hundred fourteen billion, four hundred thirty-two million, one hundred seventy thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 821 1642 4105 8210 10673 20525 21346 41050 53365 106730 214433 266825 428866 533650 1072165 2144330 2787629 5360825 5575258 10721650 13938145 27876290 69690725 139381450 176049493 352098986 880247465 1760494930 2288643409 4401237325 4577286818 8802474650 11443217045 22886434090 57216085225 114432170450