Search a number
-
+
10244032101414 = 2321192747716349
BaseRepresentation
bin1001010100010001111111…
…1001001111110000100110
31100021022122012200110010200
42111010133321033300212
52320314234204221124
633442013211531330
72105051444105646
oct225043771176046
940238565613120
1010244032101414
11329a519072781
121195441759b46
135940149aac77
14275b570ca526
1512b70dd65bc9
hex9511fe4fc26

10244032101414 has 24 divisors (see below), whose sum is σ = 22197264289200. Its totient is φ = 3414390997488.

The previous prime is 10244032101389. The next prime is 10244032101431. The reversal of 10244032101414 is 41410123044201.

10244032101414 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 403 + 210 + 1 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23643489 + ... + 24072860.

It is an arithmetic number, because the mean of its divisors is an integer number (924886012050).

Almost surely, 210244032101414 is an apocalyptic number.

10244032101414 is an abundant number, since it is smaller than the sum of its proper divisors (11953232187786).

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

10244032101414 is a wasteful number, since it uses less digits than its factorization.

10244032101414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47728284 (or 47728281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10244032101414 its reverse (41410123044201), we get a palindrome (51654155145615).

The spelling of 10244032101414 in words is "ten trillion, two hundred forty-four billion, thirty-two million, one hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 11927 23854 35781 71562 107343 214686 47716349 95432698 143149047 286298094 429447141 858894282 569112894523 1138225789046 1707338683569 3414677367138 5122016050707 10244032101414