Search a number
-
+
40211310224424 = 23317736831976717
BaseRepresentation
bin10010010010010011011001…
…10111001010010000101000
312021101011102100101121221210
421021021230313022100220
520232310230404140144
6221304453151433120
711320112516235663
oct1111115467122050
9167334370347853
1040211310224424
11118a3580351289
12461527a5257a0
131958baab7bb11
149d03487426da
1549aec60adab9
hex24926cdca428

40211310224424 has 128 divisors (see below), whose sum is σ = 108057842951040. Its totient is φ = 12424276795392.

The previous prime is 40211310224417. The next prime is 40211310224431. The reversal of 40211310224424 is 42442201311204.

It is an interprime number because it is at equal distance from previous prime (40211310224417) and next prime (40211310224431).

It is a super-2 number, since 2×402113102244242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40211310224391 and 40211310224400.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19354114 + ... + 21330830.

It is an arithmetic number, because the mean of its divisors is an integer number (844201898055).

Almost surely, 240211310224424 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 40211310224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028921475520).

40211310224424 is an abundant number, since it is smaller than the sum of its proper divisors (67846532726616).

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

40211310224424 is a wasteful number, since it uses less digits than its factorization.

40211310224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977499 (or 1977495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 40211310224424 its reverse (42442201311204), we get a palindrome (82653511535628).

The spelling of 40211310224424 in words is "forty trillion, two hundred eleven billion, three hundred ten million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 584 683 876 1241 1366 1752 2049 2482 2732 3723 4098 4964 5464 7446 8196 9928 11611 14892 16392 23222 29784 34833 46444 49859 69666 92888 99718 139332 149577 199436 278664 299154 398872 598308 847603 1196616 1695206 1976717 2542809 3390412 3953434 5085618 5930151 6780824 7906868 10171236 11860302 15813736 20342472 23720604 33604189 47441208 67208378 100812567 134416756 144300341 201625134 268833512 288600682 403250268 432901023 577201364 806500536 865802046 1154402728 1350097711 1731604092 2453105797 2700195422 3463208184 4050293133 4906211594 5400390844 7359317391 8100586266 9812423188 10800781688 14718634782 16201172532 19624846376 22951661087 29437269564 32402345064 45903322174 58874539128 68854983261 91806644348 98557132903 137709966522 183613288696 197114265806 275419933044 295671398709 394228531612 550839866088 591342797418 788457063224 1182685594836 1675471259351 2365371189672 3350942518702 5026413778053 6701885037404 10052827556106 13403770074808 20105655112212 40211310224424