Search a number
-
+
18144466444181 = 711713691989897
BaseRepresentation
bin1000010000000100101100…
…11110100001111110010101
32101020121001001201102000102
410020002112132201332111
54334234331402203211
6102331241450223445
73551615536025150
oct410022636417625
971217031642012
1018144466444181
115866030311a80
122050629124b85
13a18028a6983c
1446a2a828cc97
15216ea4c8aa3b
hex1080967a1f95

18144466444181 has 32 divisors (see below), whose sum is σ = 22941164113920. Its totient is φ = 13938878217600.

The previous prime is 18144466444127. The next prime is 18144466444189.

18144466444181 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18144466444181 - 210 = 18144466443157 is a prime.

It is a super-2 number, since 2×181444664441812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18144466444189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201791225 + ... + 201881121.

It is an arithmetic number, because the mean of its divisors is an integer number (716911378560).

Almost surely, 218144466444181 is an apocalyptic number.

18144466444181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18144466444181 is a deficient number, since it is larger than the sum of its proper divisors (4796697669739).

18144466444181 is a wasteful number, since it uses less digits than its factorization.

18144466444181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126905.

The product of its digits is 9437184, while the sum is 56.

The spelling of 18144466444181 in words is "eighteen trillion, one hundred forty-four billion, four hundred sixty-six million, four hundred forty-four thousand, one hundred eighty-one".

Divisors: 1 7 11 71 77 497 781 5467 36919 89897 258433 406109 629279 988867 2621249 2842763 6382687 6922069 18348743 28833739 44678809 70209557 201836173 491466899 3318907343 23232351401 36507980773 235642421353 255555865411 1649496949471 2592066634883 18144466444181