Search a number
-
+
210411043324432 = 241910332443207127
BaseRepresentation
bin101111110101111000100011…
…011111101000001000010000
31000121000002200101101200120121
4233311320203133220020100
5210034333304042340212
62023301255431320024
762214460542411226
oct5765704337501020
91017002611350517
10210411043324432
1161052905608875
121b7230a0820014
1390538a393bb22
1439d5d3d862b16
15194d41a176d07
hexbf5e237e8210

210411043324432 has 80 divisors (see below), whose sum is σ = 433309522447360. Its totient is φ = 98697215892096.

The previous prime is 210411043324379. The next prime is 210411043324439. The reversal of 210411043324432 is 234423340114012.

210411043324432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2104110433244322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210411043324439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015751653 + ... + 1015958779.

It is an arithmetic number, because the mean of its divisors is an integer number (5416369030592).

Almost surely, 2210411043324432 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 210411043324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654761223680).

210411043324432 is an abundant number, since it is smaller than the sum of its proper divisors (222898479122928).

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

210411043324432 is a wasteful number, since it uses less digits than its factorization.

210411043324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239700 (or 239694 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 210411043324432 its reverse (234423340114012), we get a palindrome (444834383438444).

The spelling of 210411043324432 in words is "two hundred ten trillion, four hundred eleven billion, forty-three million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 103 152 206 304 412 824 1648 1957 3914 7828 15656 31312 32443 64886 129772 207127 259544 414254 519088 616417 828508 1232834 1657016 2465668 3314032 3341629 3935413 4931336 6683258 7870826 9862672 13366516 15741652 21334081 26733032 31483304 42668162 53466064 62966608 63490951 85336324 126981902 170672648 253963804 341345296 405347539 507927608 810695078 1015855216 1621390156 3242780312 6485560624 6719821261 13439642522 26879285044 53758570088 107517140176 127676603959 255353207918 510706415836 692141589883 1021412831672 1384283179766 2042825663344 2768566359532 5537132719064 11074265438128 13150690207777 26301380415554 52602760831108 105205521662216 210411043324432