Search a number
-
+
438268808862834 = 231729494914567783
BaseRepresentation
bin110001110100110100110100…
…0101010110001110001110010
32010110210002101211122100211220
41203221221220222301301302
5424421044010032102314
64152041524501045510
7161212606435101465
oct14351515052616162
92113702354570756
10438268808862834
11117711837a60174
12411a35213b6896
1315a71757307571
147a32475aa72dc
1535a059e0683a9
hex18e9a68ab1c72

438268808862834 has 32 divisors (see below), whose sum is σ = 928101864412800. Its totient is φ = 137495621290752.

The previous prime is 438268808862811. The next prime is 438268808862881.

438268808862834 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 438268808862834.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22800907 + ... + 37368689.

It is an arithmetic number, because the mean of its divisors is an integer number (29003183262900).

Almost surely, 2438268808862834 is an apocalyptic number.

438268808862834 is an abundant number, since it is smaller than the sum of its proper divisors (489833055549966).

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

438268808862834 is a wasteful number, since it uses less digits than its factorization.

438268808862834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862754.

The product of its (nonzero) digits is 5435817984, while the sum is 78.

The spelling of 438268808862834 in words is "four hundred thirty-eight trillion, two hundred sixty-eight billion, eight hundred eight million, eight hundred sixty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 294949 589898 884847 1769694 5014133 10028266 14567783 15042399 29135566 30084798 43703349 87406698 247652311 495304622 742956933 1485913866 4296753028067 8593506056134 12890259084201 25780518168402 73044801477139 146089602954278 219134404431417 438268808862834