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233234440414041 = 311294634671127153
BaseRepresentation
bin110101000010000000011111…
…111110000110001101011001
31010120210222212011121002022110
4311002000133332012031121
5221032303113221222131
62144014231151542533
7100061426600633403
oct6502003776061531
91116728764532273
10233234440414041
1168352197228080
12221aa49222aa49
13a01abb48553c1
14418487002bb73
151be6e6a3c8646
hexd4201ff86359

233234440414041 has 64 divisors (see below), whose sum is σ = 352459793387520. Its totient is φ = 135893412695040.

The previous prime is 233234440414021. The next prime is 233234440414057. The reversal of 233234440414041 is 140414044432332.

It is a happy number.

It is not a de Polignac number, because 233234440414041 - 25 = 233234440414009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233234440414021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 206359921 + ... + 207487073.

It is an arithmetic number, because the mean of its divisors is an integer number (5507184271680).

Almost surely, 2233234440414041 is an apocalyptic number.

It is an amenable number.

233234440414041 is a deficient number, since it is larger than the sum of its proper divisors (119225352973479).

233234440414041 is a wasteful number, since it uses less digits than its factorization.

233234440414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128126.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 233234440414041 its reverse (140414044432332), we get a palindrome (373648484846373).

The spelling of 233234440414041 in words is "two hundred thirty-three trillion, two hundred thirty-four billion, four hundred forty million, four hundred fourteen thousand, forty-one".

Divisors: 1 3 11 29 33 87 319 463 467 957 1389 1401 5093 5137 13427 13543 15279 15411 40281 40629 147697 148973 216221 443091 446919 648663 1127153 2378431 3381459 6270409 7135293 12398683 18811227 32687437 37196049 68974499 98062311 206923497 359561807 521871839 526380451 1078685421 1565615517 1579141353 5740590229 5790184961 15134283331 15265033079 17221770687 17370554883 45402849993 45795099237 166477116641 167915363869 243714148813 499431349923 503746091607 731142446439 2680855636943 7067710315577 8042566910829 21203130946731 77744813471347 233234440414041