Search a number
-
+
1002104144 = 24591099739
BaseRepresentation
bin111011101110101…
…110010101010000
32120211122011110022
4323232232111100
54023014313034
6243234323012
733555513266
oct7356562520
92524564408
101002104144
11474730748
1223b729468
1312c7c5b42
1497138436
155ce99b2e
hex3bbae550

1002104144 has 40 divisors (see below), whose sum is σ = 1992804000. Its totient is φ = 487990656.

The previous prime is 1002104141. The next prime is 1002104149. The reversal of 1002104144 is 4414012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002104141) 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 7 ways as a sum of consecutive naturals, for example, 98027 + ... + 107765.

It is an arithmetic number, because the mean of its divisors is an integer number (49820100).

Almost surely, 21002104144 is an apocalyptic number.

It is an amenable number.

1002104144 is a deficient number, since it is larger than the sum of its proper divisors (990699856).

1002104144 is a wasteful number, since it uses less digits than its factorization.

1002104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1002104144 is about 31656.0285569747. The cubic root of 1002104144 is about 1000.7008899718.

Adding to 1002104144 its reverse (4414012001), we get a palindrome (5416116145).

The spelling of 1002104144 in words is "one billion, two million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 59 109 118 218 236 436 472 872 944 1744 6431 9739 12862 19478 25724 38956 51448 77912 102896 155824 574601 1061551 1149202 2123102 2298404 4246204 4596808 8492408 9193616 16984816 62631509 125263018 250526036 501052072 1002104144