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34424343401241 = 3376125120255321
BaseRepresentation
bin1111101001111000010101…
…10000101001001100011001
311111212221020200100202001110
413310330022300221030121
514003002023402314431
6201114154113010533
710152035214655533
oct764741260511431
9144787220322043
1034424343401241
11aa72311455742
123a3b802b53a49
131629281057b41
1487020b958853
153ea6c98a2346
hex1f4f0ac29319

34424343401241 has 32 divisors (see below), whose sum is σ = 48103310941056. Its totient is φ = 21875745600000.

The previous prime is 34424343401233. The next prime is 34424343401257. The reversal of 34424343401241 is 14210434342443.

It is a happy number.

It is not a de Polignac number, because 34424343401241 - 23 = 34424343401233 is a prime.

It is a super-3 number, since 3×344243434012413 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34424343401241.

It is not an unprimeable number, because it can be changed into a prime (34424343401141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8428140 + ... + 11827181.

It is an arithmetic number, because the mean of its divisors is an integer number (1503228466908).

Almost surely, 234424343401241 is an apocalyptic number.

It is an amenable number.

34424343401241 is a deficient number, since it is larger than the sum of its proper divisors (13678967539815).

34424343401241 is a wasteful number, since it uses less digits than its factorization.

34424343401241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255673.

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

Adding to 34424343401241 its reverse (14210434342443), we get a palindrome (48634777743684).

The spelling of 34424343401241 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred forty-three million, four hundred one thousand, two hundred forty-one".

Divisors: 1 3 37 61 111 183 251 753 2257 6771 9287 15311 27861 45933 566507 1699521 20255321 60765963 749446877 1235574581 2248340631 3706723743 5084085571 15252256713 45716259497 137148778491 188111166127 310129219831 564333498381 930387659493 11474781133747 34424343401241