Search a number
-
+
4122014544 = 243252615441
BaseRepresentation
bin1111010110110000…
…1111001101010000
3101122021022000221100
43311230033031100
531420213431134
61521005024400
7204101355054
oct36554171520
911567260840
104122014544
11182585159a
12970555100
13508ca257b
142b1635c64
15191d27999
hexf5b0f350

4122014544 has 60 divisors (see below), whose sum is σ = 11540229012. Its totient is φ = 1373491200.

The previous prime is 4122014543. The next prime is 4122014573. The reversal of 4122014544 is 4454102214.

4122014544 is a `hidden beast` number, since 4 + 1 + 2 + 201 + 454 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3033806400 + 1088208144 = 55080^2 + 32988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122014543) 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 11 ways as a sum of consecutive naturals, for example, 754864 + ... + 760304.

Almost surely, 24122014544 is an apocalyptic number.

It is an amenable number.

4122014544 is an abundant number, since it is smaller than the sum of its proper divisors (7418214468).

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

4122014544 is a wasteful number, since it uses less digits than its factorization.

4122014544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4122014544 is about 64202.9169430798. The cubic root of 4122014544 is about 1603.3801644432.

Adding to 4122014544 its reverse (4454102214), we get a palindrome (8576116758).

The spelling of 4122014544 in words is "four billion, one hundred twenty-two million, fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5261 5441 10522 10882 15783 16323 21044 21764 31566 32646 42088 43528 47349 48969 63132 65292 84176 87056 94698 97938 126264 130584 189396 195876 252528 261168 378792 391752 757584 783504 28625101 57250202 85875303 114500404 171750606 229000808 257625909 343501212 458001616 515251818 687002424 1030503636 1374004848 2061007272 4122014544