85742639424000
85,742,639,424,000 is an even composite number composed of seven prime numbers multiplied together.
85742639424000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 85742639424000:
29 × 35 × 53 × 132 × 17 × 19 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 19 × 101)See below for interesting mathematical facts about the number 85742639424000 from the Numbermatics database.
Names of 85742639424000
- Cardinal: 85742639424000 can be written as Eighty-five trillion, seven hundred forty-two billion, six hundred thirty-nine million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 8.5742639424 × 1013
Factors of 85742639424000
Divisors of 85742639424000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 19 20 24 25 26 27 30 32 34 36 38 39 40 45 48 50 51 52 54 57 60 64 65 68 72 75 76 78 80 81 85 90 95 96 100 101 102 104 108 114 117 120 125 128 130 135 136 144 150 152 153 156 160 162 169 170 171 180 190 192 195 200 202 204 208 216 221 225 228 234 240 243 247 250 255 256 260 270 272 285 288 300 303 304 306 312 320 323 324 325 338 340 342 351 360 375 380 384 390 400 404 405 408 416 425 432 442 450 456 459 468 475 480 486 494 500 505 507 510 512 513 520 540 544 570 576 585 600 606 608 612 624 640 646 648 650 663 675 676 680 684 702 720 741 750 760 765 768 780 800 808 810 816 832 845 850 855 864 884 900 909 912 918 936 950 960 969 972 975 988 1000 1010 1014 1020 1026 1040 1053 1080 1088 1105 1125 1140 1152 1170 1200 1212 1215 1216 1224 1235 1248 1275 1280 1292 1296 1300 1313 1326 1350 1352 1360 1368 1377 1404 1425 1440 1482 1500 1515 1520 1521 1530 1536 1539 1560 1600 1615 1616 1620 1625 1632 1664 1690 1700 1710 1717 1728 1755 1768 1800 1818 1824 1836 1872 1900 1919 1920 1938 1944 1950 1976 1989 2000 2020 2025 2028 2040 2052 2080 2106 2125 2160 2176 2210 2223 2250 2280 2295 2304 2340 2375 2400 2424 2430 2432 2448 2470 2496 2525 2535 2550 2560 2565 2584 2592 2600 2626 2652 2700 2704 2720 2727 2736 2754 2808 2850 2873 2880 2907 2925 2964 3000 3030 3040 3042 3060 3078 3120 3159 3200 3211 3230 3232 3240 3250 3264 3315 3328 3375 3380 3400 3420 3434 3456 3510 3536 3600 3636 3648 3672 3705 3744 3800 3825 3838 3840 3876 3888 3900 3939 3952 3978 4000 4040 4050 4056 4080 4104 4131 4160 4199 4212 4225 4250 4275 4320 4352 4420 4446 4500 4545 4560 4563 4590 4608 4617 4680 4750 4800 4845 4848 4860 4864 4875 4896 4940 4992 5050 5070 5100 5130 5151 5168 5184 5200 5252 5265 5304 5400 5408 5440 5454 5472 5508 5525 5616 5700 5746 5757 5760 5814 5850 5928 5967 6000 6060 6075 6080 6084 6120 6156 6175 6240 6318 6375 6400 6422 6460 6464 6480 6500 6528 6565 6630 6656 6669 6750 6760 6800 6840 6868 6885 6912 7020 7072 7125 7200 7272 7296 7344 7410 7488 7575 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685941115392 714521995200 732843072000 752128416000 793913328000 824448456000 840614112000 848937024000 857426394240 893152494000 902554099200 952695993600 1008736934400 1058551104000 1071782992800 1099264608000 1128192624000 1143235192320 1190869992000 1260921168000 1319117529600 1339728741000 1429043990400 1504256832000 1587826656000 1648896912000 1681228224000 1714852788480 1786304988000 1905391987200 2143565985600 2198529216000 2256385248000 2381739984000 2521842336000 2679457482000 2858087980800 3175653312000 3297793824000 3429705576960 3572609976000 4287131971200 4512770496000 4763479968000 5043684672000 5358914964000 5716175961600 6595587648000 7145219952000 8574263942400 9526959936000 10717829928000 14290439904000 17148527884800 21435659856000 28580879808000 42871319712000 85742639424000
- Sum of all divisors σ(n): 390351073432320
- Sum of proper divisors (its aliquot sum) s(n): 304608434008320
- 85742639424000 is an abundant number, because the sum of its proper divisors (304608434008320) is greater than itself. Its abundance is 218865794584320
Bases of 85742639424000
- Binary: 100110111111011100000111001000010100010000000002
- Hexadecimal: 0x4DFB8390A200
- Base-36: UE5MHPC00
Squares and roots of 85742639424000
- 85742639424000 squared (857426394240002) is 7351800215394079051776000000
- 85742639424000 cubed (857426394240003) is 630362754985820054200981394817024000000000
-
The
square root of 85742639424000 is 9259732.1464500257 -
The
cube root of 85742639424000 is 44095.9749762525
Scales and comparisons
How big is 85742639424000?- 85,742,639,424,000 seconds is equal to 2,726,350 years, 37 weeks, 1 day.
-
To count from 1 to 85,742,639,424,000 would take you about six million, eight hundred fifteen thousand, eight hundred seventy-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 85742639424000 cubic inches would be around 3674.7 feet tall.
Recreational maths with 85742639424000
- 85742639424000 backwards is 00042493624758
- 85742639424000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85742639424000's digits is 54
- More coming soon!
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MLA style:
"Number 85742639424000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 85742639424000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/85742639424000/
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The information we have on file for 85742639424000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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