Search a number
-
+
4010123312 = 2413531392617
BaseRepresentation
bin1110111100000101…
…1010000000110000
3101100110202101000122
43233001122000300
531203042421222
61501530505412
7201242325416
oct35701320060
911313671018
104010123312
111778678aa8
1293ab95268
134bba57440
142a082b2b6
151870c4a42
hexef05a030

4010123312 has 80 divisors (see below), whose sum is σ = 8589762720. Its totient is φ = 1802151936.

The previous prime is 4010123311. The next prime is 4010123317. The reversal of 4010123312 is 2133210104.

It is not an unprimeable number, because it can be changed into a prime (4010123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531028 + ... + 1533644.

It is an arithmetic number, because the mean of its divisors is an integer number (107372034).

Almost surely, 24010123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294881360).

4010123312 is an abundant number, since it is smaller than the sum of its proper divisors (4579639408).

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

4010123312 is a wasteful number, since it uses less digits than its factorization.

4010123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4010123312 is about 63325.5344391186. The cubic root of 4010123312 is about 1588.7390701808.

Adding to 4010123312 its reverse (2133210104), we get a palindrome (6143333416).

The spelling of 4010123312 in words is "four billion, ten million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 139 208 212 278 424 556 689 848 1112 1378 1807 2224 2617 2756 3614 5234 5512 7228 7367 10468 11024 14456 14734 20936 28912 29468 34021 41872 58936 68042 95771 117872 136084 138701 191542 272168 277402 363763 383084 544336 554804 727526 766168 1109608 1455052 1532336 1803113 2219216 2910104 3606226 4728919 5820208 7212452 9457838 14424904 18915676 19279439 28849808 37831352 38558878 75662704 77117756 154235512 250632707 308471024 501265414 1002530828 2005061656 4010123312