Search a number
-
+
1023410434014 = 232293719527173
BaseRepresentation
bin11101110010010000000…
…00111110111111011110
310121211121020021200200200
432321020000332333132
5113231421032342024
62102052005204330
7133640031105153
oct16711000767736
93554536250620
101023410434014
11365031567521
121464161006a6
13756793b0567
143776765422a
151b94baeb2c9
hexee4803efde

1023410434014 has 48 divisors (see below), whose sum is σ = 2294472117600. Its totient is φ = 329284283328.

The previous prime is 1023410434009. The next prime is 1023410434031. The reversal of 1023410434014 is 4104340143201.

1023410434014 is a `hidden beast` number, since 10 + 234 + 10 + 4 + 3 + 401 + 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 23 ways as a sum of consecutive naturals, for example, 1677732 + ... + 2204904.

It is an arithmetic number, because the mean of its divisors is an integer number (47801502450).

Almost surely, 21023410434014 is an apocalyptic number.

1023410434014 is an abundant number, since it is smaller than the sum of its proper divisors (1271061683586).

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

1023410434014 is a wasteful number, since it uses less digits than its factorization.

1023410434014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530929 (or 530926 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1023410434014 its reverse (4104340143201), we get a palindrome (5127750577215).

The spelling of 1023410434014 in words is "one trillion, twenty-three billion, four hundred ten million, four hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 3719 7438 11157 22314 33471 66942 107851 215702 323553 527173 647106 970659 1054346 1581519 1941318 3163038 4744557 9489114 15288017 30576034 45864051 91728102 137592153 275184306 1960556387 3921112774 5881669161 11763338322 17645007483 35290014966 56856135223 113712270446 170568405669 341136811338 511705217007 1023410434014