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424523314145 = 5723773641521
BaseRepresentation
bin1100010110101111000…
…11111011001111100001
31111120202202111210202002
412023113203323033201
523423410432023040
6523005011533345
742446040426500
oct6132743731741
91446682453662
10424523314145
11154048386277
126a337bba255
1331056193508
1416793102837
15b09980aa15
hex62d78fb3e1

424523314145 has 48 divisors (see below), whose sum is σ = 616954273488. Its totient is φ = 279353733120.

The previous prime is 424523314121. The next prime is 424523314151. The reversal of 424523314145 is 541413325424.

It can be written as a sum of positive squares in 8 ways, for example, as 110170222561 + 314353091584 = 331919^2 + 560672^2 .

It is not a de Polignac number, because 424523314145 - 28 = 424523313889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424523314099 and 424523314108.

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 47 ways as a sum of consecutive naturals, for example, 340985 + ... + 982505.

It is an arithmetic number, because the mean of its divisors is an integer number (12853214031).

Almost surely, 2424523314145 is an apocalyptic number.

It is an amenable number.

424523314145 is a deficient number, since it is larger than the sum of its proper divisors (192430959343).

424523314145 is a wasteful number, since it uses less digits than its factorization.

424523314145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641650 (or 641643 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

Adding to 424523314145 its reverse (541413325424), we get a palindrome (965936639569).

The spelling of 424523314145 in words is "four hundred twenty-four billion, five hundred twenty-three million, three hundred fourteen thousand, one hundred forty-five".

Divisors: 1 5 7 35 37 49 73 185 245 259 365 511 1295 1813 2555 2701 3577 9065 13505 17885 18907 94535 132349 641521 661745 3207605 4490647 22453235 23736277 31434529 46831033 118681385 157172645 166153939 234155165 327817231 830769695 1163077573 1639086155 1732748221 2294720617 5815387865 8663741105 11473603085 12129237547 60646187735 84904662829 424523314145