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6214004126 = 2112311316323
BaseRepresentation
bin1011100100110001…
…00010110110011110
3121001001202010010222
411302120202312132
5100211241113001
62504335401342
7306663110051
oct56230426636
917031663128
106214004126
1126a9709300
121255083252
13780517325
1442d3d8a98
1526580b61b
hex172622d9e

6214004126 has 48 divisors (see below), whose sum is σ = 10658317824. Its totient is φ = 2712138000.

The previous prime is 6214004113. The next prime is 6214004129.

6214004126 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×62140041262 = 77227694555890047752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6214004095 and 6214004104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6214004129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979601 + ... + 985923.

It is an arithmetic number, because the mean of its divisors is an integer number (222048288).

Almost surely, 26214004126 is an apocalyptic number.

6214004126 is a deficient number, since it is larger than the sum of its proper divisors (4444313698).

6214004126 is a wasteful number, since it uses less digits than its factorization.

6214004126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6214004126 is about 78828.9548706565. The cubic root of 6214004126 is about 1838.4726737672.

It can be divided in two parts, 621400 and 4126, that added together give a palindrome (625526).

The spelling of 6214004126 in words is "six billion, two hundred fourteen million, four thousand, one hundred twenty-six".

Divisors: 1 2 11 22 31 62 121 131 242 262 341 682 1441 2882 3751 4061 6323 7502 8122 12646 15851 31702 44671 69553 89342 139106 196013 392026 491381 765083 828313 982762 1530166 1656626 2156143 4312286 9111443 18222886 23717573 25677703 47435146 51355406 100225873 200451746 282454733 564909466 3107002063 6214004126