Search a number
-
+
232343525343232 = 214101931391261
BaseRepresentation
bin110100110101000010110001…
…010010110100000000000000
31010110122211020202201020001001
4310311002301102310000000
5220423204014441440412
62142053050402021344
766640160103530032
oct6465026122640000
91113584222636031
10232343525343232
1168039376967026
1222085894647854
139c84b92314454
1441536b5447c52
151bcdbc5752957
hexd350b14b4000

232343525343232 has 60 divisors (see below), whose sum is σ = 464718791039076. Its totient is φ = 116160281968640.

The previous prime is 232343525343079. The next prime is 232343525343263.

232343525343232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 101317591760896 + 131025933582336 = 10065664^2 + 11446656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166306482 + ... + 167697742.

Almost surely, 2232343525343232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232343525343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232359395519538).

232343525343232 is an abundant number, since it is smaller than the sum of its proper divisors (232375265695844).

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

232343525343232 is an equidigital number, since it uses as much as digits as its factorization.

232343525343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401482 (or 1401456 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 46.

The spelling of 232343525343232 in words is "two hundred thirty-two trillion, three hundred forty-three billion, five hundred twenty-five million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 10193 16384 20386 40772 81544 163088 326176 652352 1304704 1391261 2609408 2782522 5218816 5565044 10437632 11130088 20875264 22260176 41750528 44520352 83501056 89040704 167002112 178081408 356162816 712325632 1424651264 2849302528 5698605056 11397210112 14181123373 22794420224 28362246746 56724493492 113448986984 226897973968 453795947936 907591895872 1815183791744 3630367583488 7260735166976 14521470333952 29042940667904 58085881335808 116171762671616 232343525343232