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241332041430 = 23259730119181
BaseRepresentation
bin1110000011000010000…
…0101011011011010110
3212001220211210221022200
43200300200223123112
512423222000311210
6302511051105330
723302301335344
oct3406040533326
9761824727280
10241332041430
1193391711727
123a931742246
13199b034791c
14b975550994
156426d7a0c0
hex383082b6d6

241332041430 has 96 divisors (see below), whose sum is σ = 634211611488. Its totient is φ = 63663667200.

The previous prime is 241332041417. The next prime is 241332041441. The reversal of 241332041430 is 34140233142.

241332041430 is a `hidden beast` number, since 2 + 413 + 3 + 204 + 1 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241332041394 and 241332041403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26281440 + ... + 26290620.

It is an arithmetic number, because the mean of its divisors is an integer number (6606370953).

Almost surely, 2241332041430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241332041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317105805744).

241332041430 is an abundant number, since it is smaller than the sum of its proper divisors (392879570058).

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

241332041430 is a wasteful number, since it uses less digits than its factorization.

241332041430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 241332041430 its reverse (34140233142), we get a palindrome (275472274572).

The spelling of 241332041430 in words is "two hundred forty-one billion, three hundred thirty-two million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 3011 4365 6022 8730 9033 9181 15055 18066 18362 27099 27543 30110 45165 45905 54198 55086 82629 90330 91810 135495 137715 165258 270990 275430 292067 413145 584134 826290 876201 890557 1460335 1752402 1781114 2628603 2671671 2920670 4381005 4452785 5257206 5343342 8015013 8762010 8905570 13143015 13358355 16030026 26286030 26716710 27643991 40075065 55287982 80150130 82931973 138219955 165863946 248795919 276439910 414659865 497591838 829319730 1243979595 2487959190 2681467127 5362934254 8044401381 13407335635 16088802762 24133204143 26814671270 40222006905 48266408286 80444013810 120666020715 241332041430