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4233131034 = 231133117099
BaseRepresentation
bin1111110001010000…
…0111010000011010
3101221000101100002220
43330110013100122
532132140143114
61540014404510
7206621006616
oct37424072032
911830340086
104233131034
111882546000
129a1800736
13526008b82
142c22bc346
1519b9760a9
hexfc50741a

4233131034 has 64 divisors (see below), whose sum is σ = 9613209600. Its totient is φ = 1241314800.

The previous prime is 4233131009. The next prime is 4233131047. The reversal of 4233131034 is 4301313324.

It is a junction number, because it is equal to n+sod(n) for n = 4233130995 and 4233131013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239017 + ... + 256115.

It is an arithmetic number, because the mean of its divisors is an integer number (150206400).

Almost surely, 24233131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806604800).

4233131034 is an abundant number, since it is smaller than the sum of its proper divisors (5380078566).

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

4233131034 is a wasteful number, since it uses less digits than its factorization.

4233131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 4233131034 is about 65062.5163515830. The cubic root of 4233131034 is about 1617.6599647661.

Adding to 4233131034 its reverse (4301313324), we get a palindrome (8534444358).

The spelling of 4233131034 in words is "four billion, two hundred thirty-three million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 1331 2046 2662 3751 3993 7502 7986 11253 17099 22506 34198 41261 51297 82522 102594 123783 188089 247566 376178 530069 564267 1060138 1128534 1590207 2068979 3180414 4137958 5830759 6206937 11661518 12413874 17492277 22758769 34984554 45517538 64138349 68276307 128276698 136552614 192415047 384830094 705521839 1411043678 2116565517 4233131034