Search a number
-
+
43230003234 = 231122310125633
BaseRepresentation
bin101000010000101101…
…011000000000100010
311010120202212200221220
4220100231120000202
51202013340100414
631505400555510
73060164651565
oct502055300042
9133522780856
1043230003234
1117374234300
128465782b96
1340cc2c7692
1421415664dc
1511d035eca9
hexa10b58022

43230003234 has 96 divisors (see below), whose sum is σ = 100152243072. Its totient is φ = 12405888000.

The previous prime is 43230003233. The next prime is 43230003247.

43230003234 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×432300032342 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43230003233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673682 + ... + 1699314.

It is an arithmetic number, because the mean of its divisors is an integer number (1043252532).

Almost surely, 243230003234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43230003234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50076121536).

43230003234 is an abundant number, since it is smaller than the sum of its proper divisors (56922239838).

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

43230003234 is a wasteful number, since it uses less digits than its factorization.

43230003234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784 (or 25773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 4323000 and 3234, that added together give a palindrome (4326234).

The spelling of 43230003234 in words is "forty-three billion, two hundred thirty million, three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 121 138 202 242 253 303 363 506 606 726 759 1111 1518 2222 2323 2783 3333 4646 5566 6666 6969 8349 12221 13938 16698 24442 25553 25633 36663 51106 51266 73326 76659 76899 153318 153798 281083 281963 562166 563926 589559 843249 845889 1179118 1686498 1691778 1768677 2588933 3101593 3537354 5177866 6203186 6485149 7766799 9304779 12970298 15533598 18609558 19455447 28478263 38910894 56956526 59545459 71336639 85434789 119090918 142673278 170869578 178636377 214009917 313260893 357272754 428019834 626521786 655000049 939782679 1310000098 1879565358 1965000147 3930000294 7205000539 14410001078 21615001617 43230003234