Search a number
-
+
5140572234714 = 23271719373413789
BaseRepresentation
bin100101011001110000111…
…1110110110001111011010
3200012102201022120112121200
41022303201332312033122
51133210342443002324
614533313555215030
71040252113020210
oct112634176661732
920172638515550
105140572234714
111702117015054
126b033b2a7476
132b39a5380087
1413ab3adb0cb0
158dab87c8ec9
hex4ace1fb63da

5140572234714 has 192 divisors, whose sum is σ = 14570601926400. Its totient is φ = 1274189543424.

The previous prime is 5140572234703. The next prime is 5140572234737. The reversal of 5140572234714 is 4174322750415.

5140572234714 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 572 + 2 + 3 + 4 + 71 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5140572234714.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201069 + ... + 3212720.

It is an arithmetic number, because the mean of its divisors is an integer number (75888551700).

Almost surely, 25140572234714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140572234714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285300963200).

5140572234714 is an abundant number, since it is smaller than the sum of its proper divisors (9430029691686).

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

5140572234714 is a wasteful number, since it uses less digits than its factorization.

5140572234714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413877 (or 3413874 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 5140572234714 in words is "five trillion, one hundred forty billion, five hundred seventy-two million, two hundred thirty-four thousand, seven hundred fourteen".