Search a number
-
+
256231288380834 = 232131606368169427
BaseRepresentation
bin111010010000101001111110…
…111011001001110110100010
31020121020110202001012222201200
4322100221332323021312202
5232041043134311141314
62304543010122342030
7104654046122251254
oct7220517673116642
91217213661188650
10256231288380834
117470909639a668
12248a341005a916
13acc8678623310
14473b9366c1cd4
151e9526cdcc709
hexe90a7eec9da2

256231288380834 has 48 divisors (see below), whose sum is σ = 597910235500032. Its totient is φ = 78835487069664.

The previous prime is 256231288380817. The next prime is 256231288380919. The reversal of 256231288380834 is 438083882132652.

256231288380834 is a `hidden beast` number, since 2 + 56 + 2 + 3 + 128 + 8 + 380 + 83 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30325972 + ... + 37843455.

It is an arithmetic number, because the mean of its divisors is an integer number (12456463239584).

Almost surely, 2256231288380834 is an apocalyptic number.

256231288380834 is an abundant number, since it is smaller than the sum of its proper divisors (341678947119198).

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

256231288380834 is a wasteful number, since it uses less digits than its factorization.

256231288380834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68185511 (or 68185508 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 256231288380834 in words is "two hundred fifty-six trillion, two hundred thirty-one billion, two hundred eighty-eight million, three hundred eighty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 16063 32126 48189 96378 144567 208819 289134 417638 626457 1252914 1879371 3758742 68169427 136338854 204508281 409016562 613524843 886202551 1227049686 1772405102 2658607653 5317215306 7975822959 15951645918 1095005505901 2190011011802 3285016517703 6570033035406 9855049553109 14235071576713 19710099106218 28470143153426 42705214730139 85410429460278 128115644190417 256231288380834