Search a number
-
+
4040530151449 = 11241244572
BaseRepresentation
bin111010110011000010010…
…111010100100000011001
3112022021022111022201111111
4322303002113110200121
51012200001204321244
612332105515500321
7564630050420011
oct72630227244031
915267274281444
104040530151449
111318640a30300
125530b94576a1
1323403595bc7c
14dd7c40b0c41
15701842b3e34
hex3acc25d4819

4040530151449 has 27 divisors (see below), whose sum is σ = 4553230522813. Its totient is φ = 3582814716800.

The previous prime is 4040530151443. The next prime is 4040530151453. The reversal of 4040530151449 is 9441510350404.

The square root of 4040530151449 is 2010107.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 490441099225 + 3550089052224 = 700315^2 + 1884168^2 .

It is not a de Polignac number, because 4040530151449 - 235 = 4006170413081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4040530151443) 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 26 ways as a sum of consecutive naturals, for example, 906556029 + ... + 906560485.

Almost surely, 24040530151449 is an apocalyptic number.

4040530151449 is the 2010107-th square number.

4040530151449 is the 1005054-th centered octagonal number.

It is an amenable number.

4040530151449 is a deficient number, since it is larger than the sum of its proper divisors (512700371364).

4040530151449 is an frugal number, since it uses more digits than its factorization.

4040530151449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 4040530151449 in words is "four trillion, forty billion, five hundred thirty million, one hundred fifty-one thousand, four hundred forty-nine".

Divisors: 1 11 41 121 451 1681 4457 4961 18491 49027 182737 203401 539297 2010107 7492217 19864849 22111177 82414387 218513339 814458809 906558257 2403646729 8959046899 33392811169 98549515889 367320922859 4040530151449