Search a number
-
+
3242435311452 = 22323293710948699
BaseRepresentation
bin101111001011110000001…
…101000111011101011100
3102110222021220002010201110
4233023300031013131130
5411111001414431302
610521315413342020
7453154366255221
oct57136015073534
912428256063643
103242435311452
111040122226507
124444a5037910
131a69b6601a0c
14b2d12b97948
155952339db6c
hex2f2f034775c

3242435311452 has 96 divisors (see below), whose sum is σ = 8387580096000. Its totient is φ = 971193307392.

The previous prime is 3242435311447. The next prime is 3242435311529. The reversal of 3242435311452 is 2541135342423.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3242435311452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5178202 + ... + 5770497.

It is an arithmetic number, because the mean of its divisors is an integer number (87370626000).

Almost surely, 23242435311452 is an apocalyptic number.

It is an amenable number.

3242435311452 is an abundant number, since it is smaller than the sum of its proper divisors (5145144784548).

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

3242435311452 is a wasteful number, since it uses less digits than its factorization.

3242435311452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948795 (or 10948793 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The spelling of 3242435311452 in words is "three trillion, two hundred forty-two billion, four hundred thirty-five million, three hundred eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 29 37 46 58 69 74 87 92 111 116 138 148 174 222 276 348 444 667 851 1073 1334 1702 2001 2146 2553 2668 3219 3404 4002 4292 5106 6438 8004 10212 12876 24679 49358 74037 98716 148074 296148 10948699 21897398 32846097 43794796 65692194 131384388 251820077 317512271 405101863 503640154 635024542 755460231 810203726 952536813 1007280308 1215305589 1270049084 1510920462 1620407452 1905073626 2430611178 3021840924 3810147252 4861222356 7302782233 9317342849 11747954027 14605564466 18634685698 21908346699 23495908054 27952028547 29211128932 35243862081 37269371396 43816693398 46991816108 55904057094 70487724162 87633386796 111808114188 140975448324 270202942621 540405885242 810608827863 1080811770484 1621217655726 3242435311452