Search a number
-
+
424530464035424 = 25293157972866267
BaseRepresentation
bin110000010000110111011001…
…1100000010101001001100000
32001200010201022222002101021112
41200201232303200111021200
5421121001342243113144
64102522334112242452
7155264212440612605
oct14041566340251140
92050121288071245
10424530464035424
111132a53a450947a
123b744a21540428
13152b6088012336
1476b9553d466ac
1534130292dd99e
hex1821bb3815260

424530464035424 has 48 divisors (see below), whose sum is σ = 838700273125008. Its totient is φ = 211527312302592.

The previous prime is 424530464035373. The next prime is 424530464035429.

It is a happy number.

424530464035424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4245304640354242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424530464035429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146679539 + ... + 149545805.

It is an arithmetic number, because the mean of its divisors is an integer number (17472922356771).

Almost surely, 2424530464035424 is an apocalyptic number.

It is an amenable number.

424530464035424 is a deficient number, since it is larger than the sum of its proper divisors (414169809089584).

424530464035424 is a wasteful number, since it uses less digits than its factorization.

424530464035424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882367 (or 2882359 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 50.

The spelling of 424530464035424 in words is "four hundred twenty-four trillion, five hundred thirty billion, four hundred sixty-four million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 293 586 1172 2344 4688 9376 15797 31594 63188 126376 252752 505504 2866267 4628521 5732534 9257042 11465068 18514084 22930136 37028168 45860272 74056336 91720544 148112672 839816231 1679632462 3359264924 6718529848 13437059696 26874119392 45278419799 90556839598 181113679196 362227358392 724454716784 1448909433568 13266577001107 26533154002214 53066308004428 106132616008856 212265232017712 424530464035424