Search a number
-
+
433241142334 = 2721113191627099
BaseRepresentation
bin1100100110111110010…
…11110011010000111110
31112102021022122100210121
412103133023303100332
524044234213023314
6531010033125154
743205055643300
oct6233713632076
91472238570717
10433241142334
1115781136a660
126bb6b6b97ba
1331b15348730
1416d7cc65970
15b409d4ad24
hex64df2f343e

433241142334 has 96 divisors (see below), whose sum is σ = 934866576000. Its totient is φ = 147610330560.

The previous prime is 433241142307. The next prime is 433241142403.

433241142334 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 433241142334.

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 47 ways as a sum of consecutive naturals, for example, 547284 + ... + 1079815.

It is an arithmetic number, because the mean of its divisors is an integer number (9738193500).

Almost surely, 2433241142334 is an apocalyptic number.

433241142334 is an abundant number, since it is smaller than the sum of its proper divisors (501625433666).

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

433241142334 is a wasteful number, since it uses less digits than its factorization.

433241142334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627158 (or 1627151 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 433241 and 142334, that added together give a palindrome (575575).

The spelling of 433241142334 in words is "four hundred thirty-three billion, two hundred forty-one million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 7 11 13 14 19 22 26 38 49 77 91 98 133 143 154 182 209 247 266 286 418 494 539 637 931 1001 1078 1274 1463 1729 1862 2002 2717 2926 3458 5434 7007 10241 12103 14014 19019 20482 24206 38038 133133 266266 1627099 3254198 11389693 17898089 21152287 22779386 30914881 35796178 42304574 61829762 79727851 125286623 148066009 159455702 216404167 232675157 250573246 296132018 340063691 401893453 432808334 465350314 680127382 803786906 877006361 1036462063 1514829169 1628726099 1754012722 2072924126 2380445837 2813254171 3029658338 3257452198 4420827983 4760891674 5626508342 8841655966 11401082693 16663120859 19692779197 22802165386 30945795881 33326241718 39385558394 61891591762 216620571167 433241142334