Search a number
-
+
231614071950208 = 2747311931234241
BaseRepresentation
bin110100101010011011011010…
…011110111100101110000000
31010101002002101220110102201211
4310222123122132330232000
5220324231104404401313
62140334011420135504
766533364422145013
oct6452333236745600
91111062356412654
10231614071950208
1167887a814a4302
1221b88438097594
139c31161b053cc
14412a27654337a
151bb9c30a43e3d
hexd2a6da7bcb80

231614071950208 has 64 divisors (see below), whose sum is σ = 471251566163520. Its totient is φ = 113339331051520.

The previous prime is 231614071950181. The next prime is 231614071950229. The reversal of 231614071950208 is 802059170416132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2316140719502082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187039968 + ... + 188274208.

It is an arithmetic number, because the mean of its divisors is an integer number (7363305721305).

It is a 1-persistent number, because it is pandigital, but 2⋅231614071950208 = 463228143900416 is not.

Almost surely, 2231614071950208 is an apocalyptic number.

It is an amenable number.

231614071950208 is an abundant number, since it is smaller than the sum of its proper divisors (239637494213312).

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

231614071950208 is a wasteful number, since it uses less digits than its factorization.

231614071950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265495 (or 1265483 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 231614071950208 in words is "two hundred thirty-one trillion, six hundred fourteen billion, seventy-one million, nine hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 31193 62386 124772 249544 499088 998176 1234241 1466071 1996352 2468482 2932142 3992704 4936964 5864284 9873928 11728568 19747856 23457136 39495712 46914272 58009327 78991424 93828544 116018654 157982848 187657088 232037308 464074616 928149232 1856298464 3712596928 7425193856 38499679513 76999359026 153998718052 307997436104 615994872208 1231989744416 1809484937111 2463979488832 3618969874222 4927958977664 7237939748444 14475879496888 28951758993776 57903517987552 115807035975104 231614071950208