Search a number
-
+
114282224010 = 23252535750077
BaseRepresentation
bin110101001101111000…
…0000101100110001010
3101220222112011111101100
41222123300011212022
53333022222132020
6124300040402230
711154006606363
oct1523360054612
9356875144340
10114282224010
1144515377419
121a194a76376
13aa13734376
145761c00b6a
152e8d019a90
hex1a9bc0598a

114282224010 has 48 divisors (see below), whose sum is σ = 297151434216. Its totient is φ = 30473449344.

The previous prime is 114282224003. The next prime is 114282224011. The reversal of 114282224010 is 10422282411.

114282224010 is a `hidden beast` number, since 1 + 1 + 428 + 2 + 224 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99446253201 + 14835970809 = 315351^2 + 121803^2 .

It is not an unprimeable number, because it can be changed into a prime (114282224011) 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, 2257092 + ... + 2307168.

Almost surely, 2114282224010 is an apocalyptic number.

114282224010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114282224010 is an abundant number, since it is smaller than the sum of its proper divisors (182869210206).

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

114282224010 is a wasteful number, since it uses less digits than its factorization.

114282224010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75447 (or 75444 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 114282224010 in words is "one hundred fourteen billion, two hundred eighty-two million, two hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25357 50077 50714 76071 100154 126785 150231 152142 228213 250385 253570 300462 380355 450693 456426 500770 751155 760710 901386 1141065 1502310 2253465 2282130 4506930 1269802489 2539604978 3809407467 6349012445 7618814934 11428222401 12698024890 19047037335 22856444802 38094074670 57141112005 114282224010