Search a number
-
+
4130144320 = 26582915569
BaseRepresentation
bin1111011000101101…
…0000000001000000
3101122211121001220011
43312023100001000
531424304104240
61521455154304
7204230435041
oct36613200100
911584531804
104130144320
11182a3a4615
12973215994
1350a88aaa3
142b27508c8
151928d16ea
hexf62d0040

4130144320 has 56 divisors (see below), whose sum is σ = 9847402200. Its totient is φ = 1649958912.

The previous prime is 4130144297. The next prime is 4130144341. The reversal of 4130144320 is 234410314.

It can be written as a sum of positive squares in 4 ways, for example, as 351337536 + 3778806784 = 18744^2 + 61472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4130144291 and 4130144300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257496 + ... + 273064.

Almost surely, 24130144320 is an apocalyptic number.

4130144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130144320 is an abundant number, since it is smaller than the sum of its proper divisors (5717257880).

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

4130144320 is a wasteful number, since it uses less digits than its factorization.

4130144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415 (or 16405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4130144320 is about 64266.1988917969. The cubic root of 4130144320 is about 1604.4335782673.

Adding to 4130144320 its reverse (234410314), we get a palindrome (4364554634).

The spelling of 4130144320 in words is "four billion, one hundred thirty million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 829 1658 3316 4145 6632 8290 13264 15569 16580 26528 31138 33160 53056 62276 66320 77845 124552 132640 155690 249104 265280 311380 498208 622760 996416 1245520 2491040 4982080 12906701 25813402 51626804 64533505 103253608 129067010 206507216 258134020 413014432 516268040 826028864 1032536080 2065072160 4130144320