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41430641126305 = 5411673793193097
BaseRepresentation
bin10010110101110010100101…
…01001011010101110100001
312102200201201121121022010011
421122321102221122232201
520412244423112020210
6224040550200404521
711504156624010364
oct1132712251325641
9172621647538104
1041430641126305
11122236aa904042
124791651a76741
131a16b7b3316b2
14a3337a3400db
154bca8cde8d8a
hex25ae52a5aba1

41430641126305 has 32 divisors (see below), whose sum is σ = 51369538832640. Its totient is φ = 32057662049280.

The previous prime is 41430641126257. The next prime is 41430641126317. The reversal of 41430641126305 is 50362114603414.

41430641126305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-41430641126305 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 11378517 + ... + 14571613.

It is an arithmetic number, because the mean of its divisors is an integer number (1605298088520).

Almost surely, 241430641126305 is an apocalyptic number.

It is an amenable number.

41430641126305 is a deficient number, since it is larger than the sum of its proper divisors (9938897706335).

41430641126305 is a wasteful number, since it uses less digits than its factorization.

41430641126305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193689.

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 41430641126305 its reverse (50362114603414), we get a palindrome (91792755729719).

The spelling of 41430641126305 in words is "forty-one trillion, four hundred thirty billion, six hundred forty-one million, one hundred twenty-six thousand, three hundred five".

Divisors: 1 5 41 167 205 379 835 1895 6847 15539 34235 63293 77695 316465 2595013 3193097 12975065 15965485 130916977 533247199 654584885 1210183763 2666235995 6050918815 21863135159 49617534283 109315675795 202100688421 248087671415 1010503442105 8286128225261 41430641126305