Search a number
-
+
43231444413234 = 23711307633041789
BaseRepresentation
bin10011101010001100110101…
…11000110010101100110010
312200001212220200200200002120
421311012122320302230302
521131300444232210414
6231540130144455110
712051240331255020
oct1165063270625462
9180055820620076
1043231444413234
111285839736a020
124a2266331a496
131b17927b0a8bc
14a965ad691710
154ee8382282a9
hex27519ae32b32

43231444413234 has 64 divisors (see below), whose sum is σ = 107801426949120. Its totient is φ = 11228577894720.

The previous prime is 43231444413203. The next prime is 43231444413239.

43231444413234 is nontrivially palindromic in base 10.

43231444413234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (43231444413239) by changing a digit.

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, 12691612 + ... + 15733400.

It is an arithmetic number, because the mean of its divisors is an integer number (1684397296080).

Almost surely, 243231444413234 is an apocalyptic number.

43231444413234 is an abundant number, since it is smaller than the sum of its proper divisors (64569982535886).

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

43231444413234 is a wasteful number, since it uses less digits than its factorization.

43231444413234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072575.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4323144 and 4413234, that added together give a palindrome (8736378).

The spelling of 43231444413234 in words is "forty-three trillion, two hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 30763 61526 92289 184578 215341 338393 430682 646023 676786 1015179 1292046 2030358 2368751 3041789 4737502 6083578 7106253 9125367 14212506 18250734 21292523 33459679 42585046 63877569 66919358 100379037 127755138 200758074 234217753 468435506 702653259 1405306518 93574555007 187149110014 280723665021 561447330042 655021885049 1029320105077 1310043770098 1965065655147 2058640210154 3087960315231 3930131310294 6175920630462 7205240735539 14410481471078 21615722206617 43231444413234