Search a number
-
+
114510321200424 = 233197193911249013
BaseRepresentation
bin11010000010010110000011…
…000001001010110100101000
3120000110002011011121111120010
4122002112003001022310220
5110002114114211403144
61043313152040131520
733056045336252562
oct3202260301126450
9500402134544503
10114510321200424
1133539611048966
1210a14a4aa66ba0
134bb837a616836
14203c487158332
15d38a224a95b9
hex68258304ad28

114510321200424 has 64 divisors (see below), whose sum is σ = 287744048317440. Its totient is φ = 37974361322240.

The previous prime is 114510321200417. The next prime is 114510321200491. The reversal of 114510321200424 is 424002123015411.

It is a super-2 number, since 2×1145103212004242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114510321200391 and 114510321200400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91056142 + ... + 92305154.

It is an arithmetic number, because the mean of its divisors is an integer number (4496000754960).

Almost surely, 2114510321200424 is an apocalyptic number.

It is an amenable number.

114510321200424 is an abundant number, since it is smaller than the sum of its proper divisors (173233727117016).

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

114510321200424 is a wasteful number, since it uses less digits than its factorization.

114510321200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268610 (or 1268606 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114510321200424 its reverse (424002123015411), we get a palindrome (538512444215835).

The spelling of 114510321200424 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred twenty-one million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 19391 38782 58173 77564 116346 155128 232692 465384 1249013 2498026 3747039 3820027 4996052 7494078 7640054 9992104 11460081 14988156 15280108 22920162 29976312 30560216 45840324 91680648 246055561 492111122 738166683 984222244 1476333366 1968444488 2952666732 5905333464 24219611083 48439222166 72658833249 96878444332 145317666498 193756888664 290635332996 581270665992 4771263383351 9542526766702 14313790150053 19085053533404 28627580300106 38170107066808 57255160600212 114510321200424