40057482859423920
40,057,482,859,423,920 is an even composite number composed of six prime numbers multiplied together.
40057482859423920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 40057482859423920:
24 × 33 × 5 × 11 × 41 × 41120024287
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 41 × 41120024287)See below for interesting mathematical facts about the number 40057482859423920 from the Numbermatics database.
Names of 40057482859423920
- Cardinal: 40057482859423920 can be written as Forty quadrillion, fifty-seven trillion, four hundred eighty-two billion, eight hundred fifty-nine million, four hundred twenty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.005748285942392 × 1016
Factors of 40057482859423920
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 41120024349
Divisors of 40057482859423920
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 41 44 45 48 54 55 60 66 72 80 82 88 90 99 108 110 120 123 132 135 144 164 165 176 180 198 205 216 220 240 246 264 270 297 328 330 360 369 396 410 432 440 451 492 495 528 540 594 615 656 660 720 738 792 820 880 902 984 990 1080 1107 1188 1230 1320 1353 1476 1485 1584 1640 1804 1845 1968 1980 2160 2214 2255 2376 2460 2640 2706 2952 2970 3280 3608 3690 3960 4059 4428 4510 4752 4920 5412 5535 5904 5940 6765 7216 7380 7920 8118 8856 9020 9840 10824 11070 11880 12177 13530 14760 16236 17712 18040 20295 21648 22140 23760 24354 27060 29520 32472 36080 40590 44280 48708 54120 60885 64944 81180 88560 97416 108240 121770 162360 194832 243540 324720 487080 974160 41120024287 82240048574 123360072861 164480097148 205600121435 246720145722 328960194296 370080218583 411200242870 452320267157 493440291444 616800364305 657920388592 740160437166 822400485740 904640534314 986880582888 1110240655749 1233600728610 1356960801471 1480320874332 1644800971480 1685920995767 1809281068628 1850401092915 1973761165776 2220481311498 2261601335785 2467201457220 2713921602942 2960641748664 3289601942960 3371841991534 3618562137256 3700802185830 4070882404413 4440962622996 4523202671570 4934402914440 5057762987301 5427843205884 5551203278745 5921283497328 6743683983068 6784804007355 7237124274512 7401604371660 8141764808826 8429604978835 8881925245992 9046405343140 9868805828880 10115525974602 10855686411768 11102406557490 12212647213239 13487367966136 13569608014710 14803208743320 15173288961903 16283529617652 16859209957670 17763850491984 18092810686280 18545130953437 20231051949204 20354412022065 21711372823536 22204813114980 24425294426478 25288814936505 26974735932272 27139216029420 29606417486640 30346577923806 32567059235304 33718419915340 36185621372560 37090261906874 40462103898408 40708824044130 44409626229960 45519866885709 48850588852956 50577629873010 54278432058840 55635392860311 60693155847612 61063236066195 65134118470608 67436839830680 74180523813748 75866444809515 80924207796816 81417648088260 88819252459920 91039733771418 92725654767185 97701177705912 101155259746020 108556864117680 111270785720622 121386311695224 122126472132390 134873679661360 148361047627496 151732889619030 162835296176520 166906178580933 182079467542836 185451309534370 195402355411824 202310519492040 222541571441244 227599334428545 242772623390448 244252944264780 278176964301555 296722095254992 303465779238060 325670592353040 333812357161866 364158935085672 370902619068740 404621038984080 445083142882488 455198668857090 488505888529560 500718535742799 556353928603110 606931558476120 667624714323732 728317870171344 741805238137480 834530892904665 890166285764976 910397337714180 977011777059120 1001437071485598 1112707857206220 1213863116952240 1335249428647464 1483610476274960 1669061785809330 1820794675428360 2002874142971196 2225415714412440 2503592678713995 2670498857294928 3338123571618660 3641589350856720 4005748285942392 4450831428824880 5007185357427990 6676247143237320 8011496571884784 10014370714855980 13352494286474640 20028741429711960 40057482859423920
- Sum of all divisors σ(n): 154190222274170880
- Sum of proper divisors (its aliquot sum) s(n): 114132739414746960
- 40057482859423920 is an abundant number, because the sum of its proper divisors (114132739414746960) is greater than itself. Its abundance is 74075256555323040
Bases of 40057482859423920
- Binary: 100011100101000000010001100001000110111010101000101100002
- Hexadecimal: 0x8E5011846EA8B0
- Base-36: AYF6XKWXXO0
Squares and roots of 40057482859423920
- 40057482859423920 squared (400574828594239202) is 1604601933033041150148354268166400
- 40057482859423920 cubed (400574828594239203) is 64276314428669534604160713208505947701098700288000
-
The
square root of 40057482859423920 is 200143655.5562626871 -
The
cube root of 40057482859423920 is 342158.9347673419
Scales and comparisons
How big is 40057482859423920?- 40,057,482,859,423,920 seconds is equal to 1,273,704,048 years, 51 weeks, 6 days, 22 hours, 12 minutes.
-
To count from 1 to 40,057,482,859,423,920 would take you about three billion, eight hundred twenty-one million, one hundred twelve thousand, one hundred forty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 40057482859423920 cubic inches would be around 28513.2 feet tall.
Recreational maths with 40057482859423920
- 40057482859423920 backwards is 02932495828475004
- 40057482859423920 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40057482859423920's digits is 72
- More coming soon!
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