Search a number
-
+
243041441232 = 24323491448363
BaseRepresentation
bin1110001001011001100…
…1100001010111010000
3212020022222100110000110
43202112121201113100
512440222102104412
6303352433321320
723362536110262
oct3422631412720
9766288313013
10243041441232
1194089615037
123b12a106240
1319bc35357b5
14ba985a1b32
1564c6e88d3c
hex38966615d0

243041441232 has 80 divisors (see below), whose sum is σ = 656490981888. Its totient is φ = 77333477760.

The previous prime is 243041441231. The next prime is 243041441267. The reversal of 243041441232 is 232144140342.

It is a super-2 number, since 2×2430414412322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243041441232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243041441231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317883 + ... + 766245.

Almost surely, 2243041441232 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 243041441232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328245490944).

243041441232 is an abundant number, since it is smaller than the sum of its proper divisors (413449540656).

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

243041441232 is a wasteful number, since it uses less digits than its factorization.

243041441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448888 (or 448882 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 243041441232 its reverse (232144140342), we get a palindrome (475185581574).

The spelling of 243041441232 in words is "two hundred forty-three billion, forty-one million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 491 552 982 1104 1473 1964 2946 3928 5892 7856 11293 11784 22586 23568 33879 45172 67758 90344 135516 180688 271032 448363 542064 896726 1345089 1793452 2690178 3586904 5380356 7173808 10312349 10760712 20624698 21521424 30937047 41249396 61874094 82498792 123748188 164997584 220146233 247496376 440292466 494992752 660438699 880584932 1320877398 1761169864 2641754796 3522339728 5063363359 5283509592 10126726718 10567019184 15190090077 20253453436 30380180154 40506906872 60760360308 81013813744 121520720616 243041441232