84245371824128000
84,245,371,824,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 84245371824128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
84245371824128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 84245371824128000:
214 × 53 × 19 × 31 × 612 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 31 × 61 × 61 × 137 × 137)See below for interesting mathematical facts about the number 84245371824128000 from the Numbermatics database.
Names of 84245371824128000
- Cardinal: 84245371824128000 can be written as Eighty-four quadrillion, two hundred forty-five trillion, three hundred seventy-one billion, eight hundred twenty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 8.4245371824128 × 1016
Factors of 84245371824128000
Divisors of 84245371824128000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 61 62 64 76 80 95 100 122 124 125 128 137 152 155 160 190 200 244 248 250 256 274 304 305 310 320 380 400 475 488 496 500 512 548 589 608 610 620 640 685 760 775 800 950 976 992 1000 1024 1096 1159 1178 1216 1220 1240 1280 1370 1520 1525 1550 1600 1891 1900 1952 1984 2000 2048 2192 2318 2356 2375 2432 2440 2480 2560 2603 2740 2945 3040 3050 3100 3200 3425 3721 3782 3800 3875 3904 3968 4000 4096 4247 4384 4636 4712 4750 4864 4880 4960 5120 5206 5480 5795 5890 6080 6100 6200 6400 6850 7442 7564 7600 7625 7750 7808 7936 8000 8192 8357 8494 8768 9272 9424 9455 9500 9728 9760 9920 10240 10412 10960 11590 11780 12160 12200 12400 12800 13015 13700 14725 14884 15128 15200 15250 15500 15616 15872 16000 16384 16714 16988 17125 17536 18544 18605 18769 18848 18910 19000 19456 19520 19840 20480 20824 21235 21920 23180 23560 24320 24400 24800 25600 26030 27400 28975 29450 29768 30256 30400 30500 31000 31232 31744 32000 33428 33976 34250 35072 35929 37088 37210 37538 37696 37820 38000 38912 39040 39680 40960 41648 41785 42470 43840 46360 47120 47275 48640 48800 49600 51200 52060 54800 57950 58900 59536 60512 60800 61000 62000 62464 63488 64000 65075 66856 67952 68500 70144 70699 71858 73625 74176 74420 75076 75392 75640 76000 77824 78080 79360 80693 81920 83296 83570 84940 87680 92720 93025 93845 94240 94550 97280 97600 99200 102400 104120 106175 109600 115351 115900 117800 119072 121024 121600 122000 124000 124928 126976 128000 130150 133712 135904 137000 140288 141398 143716 144875 147250 148352 148840 150152 150784 151280 152000 155648 156160 158720 158783 161386 166592 167140 169880 175360 179645 185440 186050 187690 188480 189100 194560 195200 198400 204800 208240 208925 212350 219200 230702 231800 235600 236375 238144 242048 243200 244000 248000 249856 253952 256000 259067 260300 267424 271808 274000 280576 282796 287432 289750 294500 296704 297680 300304 301568 302560 304000 311296 312320 317440 317566 322772 325375 333184 334280 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22275349504000 22640519168000 24597188853760 26326678695040 27175926394880 27621433384960 27712293363200 28606238310400 30746486067200 32364722176000 32908348368800 33969907993600 34526791731200 34640366704000 35471735504896 35757797888000 36343991296000 38433107584000 41135435461000 42122685912064 42462384992000 43158489664000 44339669381120 44550699008000 52653357390080 54351852789760 55242866769920 55424586726400 61492972134400 65816696737600 67939815987200 69053583462400 69280733408000 71515595776000 72687982592000 76866215168000 82270870922000 84245371824128 84924769984000 86316979328000 88679338762240 105306714780160 108703705579520 110849173452800 122985944268800 131633393475200 135879631974400 138107166924800 138561466816000 143031191552000 153732430336000 164541741844000 168490743648256 169849539968000 172633958656000 177358677524480 210613429560320 221698346905600 263266786950400 271759263948800 276214333849600 277122933632000 307464860672000 329083483688000 336981487296512 339699079936000 345267917312000 421226859120640 443396693811200 526533573900800 543518527897600 554245867264000 614929721344000 658166967376000 673962974593024 679398159872000 690535834624000 842453718241280 886793387622400 1053067147801600 1108491734528000 1316333934752000 1358796319744000 1381071669248000 1684907436482560 2106134295603200 2216983469056000 2632667869504000 2717592639488000 3369814872965120 4212268591206400 4433966938112000 5265335739008000 8424537182412800 10530671478016000 16849074364825600 21061342956032000 42122685912064000 84245371824128000
- Sum of all divisors σ(n): 233991574085767680
- Sum of proper divisors (its aliquot sum) s(n): 149746202261639680
- 84245371824128000 is an abundant number, because the sum of its proper divisors (149746202261639680) is greater than itself. Its abundance is 65500830437511680
Bases of 84245371824128000
- Binary: 1001010110100110010111000001001011000110001000000000000002
- Hexadecimal: 0x12B4CB8258C4000
- Base-36: N1IHPJ51KOW
Squares and roots of 84245371824128000
- 84245371824128000 squared (842453718241280002) is 7097282673785579902162960384000000
- 84245371824128000 cubed (842453718241280003) is 597913217794007528689424693618138679345152000000000
-
The
square root of 84245371824128000 is 290250532.8576125113 -
The
cube root of 84245371824128000 is 438377.9322225245
Scales and comparisons
How big is 84245371824128000?- 84,245,371,824,128,000 seconds is equal to 2,678,742,235 years, 50 weeks, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 84,245,371,824,128,000 would take you about eight billion, thirty-six million, two hundred twenty-six thousand, seven hundred seven 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 84245371824128000 cubic inches would be around 36531.5 feet tall.
Recreational maths with 84245371824128000
- 84245371824128000 backwards is 00082142817354248
- The number of decimal digits it has is: 17
- The sum of 84245371824128000's digits is 59
- More coming soon!
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Numbermatics. (2024). Number 84245371824128000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/84245371824128000/
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The information we have on file for 84245371824128000 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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