Search a number
-
+
213541435144144 = 24171495268985273
BaseRepresentation
bin110000100011011011111101…
…011000101111011111010000
31001000002100202202212201020201
4300203123331120233133100
5210442130324344103034
62034055325300144544
762656600555014232
oct6043337530573720
91030070682781221
10213541435144144
116204a461141618
121bb49916698154
13921cb4257c623
143aa3663c9a252
1519a4a81d29014
hexc236fd62f7d0

213541435144144 has 40 divisors (see below), whose sum is σ = 441014067433800. Its totient is φ = 99815656992768.

The previous prime is 213541435144133. The next prime is 213541435144181. The reversal of 213541435144144 is 441441534145312.

It can be written as a sum of positive squares in 4 ways, for example, as 3287375124544 + 210254060019600 = 1813112^2 + 14500140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213541435144094 and 213541435144103.

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, 2634452109 + ... + 2634533164.

It is an arithmetic number, because the mean of its divisors is an integer number (11025351685845).

Almost surely, 2213541435144144 is an apocalyptic number.

It is an amenable number.

213541435144144 is an abundant number, since it is smaller than the sum of its proper divisors (227472632289656).

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

213541435144144 is a wasteful number, since it uses less digits than its factorization.

213541435144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268985447 (or 5268985441 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

Adding to 213541435144144 its reverse (441441534145312), we get a palindrome (654982969289456).

The spelling of 213541435144144 in words is "two hundred thirteen trillion, five hundred forty-one billion, four hundred thirty-five million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 149 272 298 596 1192 2384 2533 5066 10132 20264 40528 5268985273 10537970546 21075941092 42151882184 84303764368 89572749641 179145499282 358290998564 716581997128 785078805677 1433163994256 1570157611354 3140315222708 6280630445416 12561260890832 13346339696509 26692679393018 53385358786036 106770717572072 213541435144144