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332333242241 = 7112132101127181
BaseRepresentation
bin1001101011000001001…
…10101101011110000001
31011202210212121220202112
410311200212231132001
520421104302222431
6412401034425105
733003345643610
oct4654046553601
91152725556675
10332333242241
11118a3a4a6800
12544a9892195
1325453707800
14121293cd877
1589a1073c2b
hex4d609ad781

332333242241 has 144 divisors (see below), whose sum is σ = 462673096704. Its totient is φ = 233513280000.

The previous prime is 332333242231. The next prime is 332333242327. The reversal of 332333242241 is 142242333233.

It is a happy number.

It is not a de Polignac number, because 332333242241 - 210 = 332333241217 is a prime.

It is a super-2 number, since 2×3323332422412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332333242198 and 332333242207.

It is not an unprimeable number, because it can be changed into a prime (332333242201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1836095171 + ... + 1836095351.

It is an arithmetic number, because the mean of its divisors is an integer number (3213007616).

Almost surely, 2332333242241 is an apocalyptic number.

It is an amenable number.

332333242241 is a deficient number, since it is larger than the sum of its proper divisors (130339854463).

332333242241 is a wasteful number, since it uses less digits than its factorization.

332333242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 332333242241 its reverse (142242333233), we get a palindrome (474575575474).

The spelling of 332333242241 in words is "three hundred thirty-two billion, three hundred thirty-three million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 11 13 77 91 101 121 127 143 169 181 707 847 889 1001 1111 1183 1267 1313 1397 1573 1651 1859 1991 2353 7777 9191 9779 11011 11557 12221 12827 13013 13937 14443 15367 16471 17069 18161 18281 20449 21463 21901 22987 25883 30589 85547 89789 101101 107569 119483 127127 127967 141097 143143 150241 153307 158873 160909 166751 181181 187759 199771 201091 214123 236093 237653 252857 284713 298831 336479 987679 1112111 1167257 1314313 1398397 1407637 1552067 1652651 1663571 1769999 1834261 1992991 2065349 2091817 2167763 2212001 2321687 2355353 2597023 2614183 2781427 3089489 3287141 3701269 3884803 10864469 12839827 14457443 15174341 15484007 16251809 18179161 18299281 19469989 20176871 21626423 23009987 23845393 25538557 25908883 27193621 28756013 30181931 33984379 36158551 42732833 141238097 166917751 178769899 201292091 211273517 237890653 253109857 262299323 280924127 299129831 332001241 373828169 392365103 470061163 1836095261 1966468889 2324008687 2616797183 2746555721 3290428141 3652013651 4316016133 25564095557 30212112931 47476177463 332333242241