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7144813730 = 25101149197241
BaseRepresentation
bin1101010011101110…
…10011010010100010
3200102221020010212202
412221313103102202
5104113033014410
63140550053202
7342024625505
oct65167232242
920387203782
107144813730
11303707433a
12147494a202
1389b30a342
144bac9513c
152bc3c1ca5
hex1a9dd34a2

7144813730 has 64 divisors (see below), whose sum is σ = 13196066400. Its totient is φ = 2784768000.

The previous prime is 7144813717. The next prime is 7144813733. The reversal of 7144813730 is 373184417.

It is a Cunningham number, because it is equal to 845272+1.

It can be written as a sum of positive squares in 16 ways, for example, as 4034409289 + 3110404441 = 63517^2 + 55771^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7144813733) 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 31 ways as a sum of consecutive naturals, for example, 29646410 + ... + 29646650.

Almost surely, 27144813730 is an apocalyptic number.

7144813730 is a deficient number, since it is larger than the sum of its proper divisors (6051252670).

7144813730 is a wasteful number, since it uses less digits than its factorization.

7144813730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 7144813730 is about 84527.0000059153. Note that the first 5 decimals coincide. The cubic root of 7144813730 is about 1926.0326144765.

The spelling of 7144813730 in words is "seven billion, one hundred forty-four million, eight hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 5 10 101 149 197 202 241 298 394 482 505 745 985 1010 1205 1490 1970 2410 15049 19897 24341 29353 30098 35909 39794 47477 48682 58706 71818 75245 94954 99485 121705 146765 150490 179545 198970 237385 243410 293530 359090 474770 2964653 3626809 4795177 5929306 7074073 7253618 9590354 14148146 14823265 18134045 23975885 29646530 35370365 36268090 47951770 70740730 714481373 1428962746 3572406865 7144813730