Search a number
-
+
7142623668 = 22322516191277
BaseRepresentation
bin1101010011011101…
…11100100110110100
3200102210002212200100
412221232330212310
5104112002424133
63140431114100
7342000204465
oct65156744664
920383085610
107142623668
113035908974
121474072930
1389aa2154b
144ba884d6c
152bc0dce13
hex1a9bbc9b4

7142623668 has 72 divisors (see below), whose sum is σ = 18170399520. Its totient is φ = 2365704000.

The previous prime is 7142623639. The next prime is 7142623669. The reversal of 7142623668 is 8663262417.

7142623668 is a `hidden beast` number, since 7 + 14 + 2 + 623 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142623669) 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 23 ways as a sum of consecutive naturals, for example, 5592646 + ... + 5593922.

It is an arithmetic number, because the mean of its divisors is an integer number (252366660).

Almost surely, 27142623668 is an apocalyptic number.

It is an amenable number.

7142623668 is an abundant number, since it is smaller than the sum of its proper divisors (11027775852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7142623668 is a wasteful number, since it uses less digits than its factorization.

7142623668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 7142623668 is about 84514.0442056822. The cubic root of 7142623668 is about 1925.8358021658.

The spelling of 7142623668 in words is "seven billion, one hundred forty-two million, six hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 619 753 1004 1238 1277 1506 1857 2259 2476 2554 3012 3714 3831 4518 5108 5571 7428 7662 9036 11142 11493 15324 22284 22986 45972 155369 310738 320527 466107 621476 641054 790463 932214 961581 1282108 1398321 1580926 1864428 1923162 2371389 2796642 2884743 3161852 3846324 4742778 5593284 5769486 7114167 9485556 11538972 14228334 28456668 198406213 396812426 595218639 793624852 1190437278 1785655917 2380874556 3571311834 7142623668