680188164096000
680,188,164,096,000 is an even composite number composed of five prime numbers multiplied together.
680188164096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 680188164096000:
214 × 3 × 53 × 76 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 941)See below for interesting mathematical facts about the number 680188164096000 from the Numbermatics database.
Names of 680188164096000
- Cardinal: 680188164096000 can be written as Six hundred eighty trillion, one hundred eighty-eight billion, one hundred sixty-four million, ninety-six thousand.
Scientific notation
- Scientific notation: 6.80188164096 × 1014
Factors of 680188164096000
Divisors of 680188164096000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 941 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1882 1920 1960 2000 2048 2058 2100 2240 2352 2400 2401 2450 2560 2625 2688 2744 2800 2823 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3764 3840 3920 4000 4096 4116 4200 4480 4704 4705 4800 4802 4900 5120 5145 5250 5376 5488 5600 5646 5880 6000 6125 6144 6272 6400 6587 6720 6860 7000 7168 7203 7350 7528 7680 7840 8000 8192 8232 8400 8575 8960 9408 9410 9600 9604 9800 10240 10290 10500 10752 10976 11200 11292 11760 12000 12005 12250 12288 12544 12800 13174 13440 13720 14000 14115 14336 14406 14700 15056 15360 15680 16000 16384 16464 16800 16807 17150 17920 18375 18816 18820 19200 19208 19600 19761 20480 20580 21000 21504 21952 22400 22584 23520 23525 24000 24010 24500 24576 25088 25600 25725 26348 26880 27440 28000 28230 28672 28812 29400 30112 30720 31360 32000 32928 32935 33600 33614 34300 35840 36015 36750 37632 37640 38400 38416 39200 39522 40960 41160 42000 42875 43008 43904 44800 45168 46109 47040 47050 48000 48020 49000 49152 50176 50421 51200 51450 52696 53760 54880 56000 56460 57344 57624 58800 60025 60224 61440 62720 64000 65856 65870 67200 67228 68600 70575 71680 72030 73500 75264 75280 76800 76832 78400 79044 81920 82320 84000 84035 85750 86016 87808 89600 90336 92218 94080 94100 96000 96040 98000 98805 100352 100842 102400 102900 105392 107520 109760 112000 112920 114688 115248 117600 117625 117649 120050 120448 122880 125440 128000 128625 131712 131740 134400 134456 137200 138327 141150 143360 144060 147000 150528 150560 153600 153664 156800 158088 164640 164675 168000 168070 171500 172032 175616 179200 180075 180672 184436 188160 188200 192000 192080 196000 197610 200704 201684 204800 205800 210784 215040 219520 224000 225840 230496 230545 235200 235250 235298 240100 240896 245760 250880 252105 256000 257250 263424 263480 268800 268912 274400 276654 282300 286720 288120 294000 300125 301056 301120 307200 307328 313600 316176 322763 329280 329350 336000 336140 343000 344064 351232 352875 352947 358400 360150 361344 368872 376320 376400 384000 384160 392000 395220 401408 403368 409600 411600 420175 421568 430080 439040 448000 451680 460992 461090 470400 470500 470596 480200 481792 494025 501760 504210 512000 514500 526848 526960 537600 537824 548800 553308 564600 573440 576240 588000 588245 600250 602112 602240 614400 614656 627200 632352 645526 658560 658700 672000 672280 686000 691635 702464 705750 705894 716800 720300 722688 737744 752640 752800 768000 768320 784000 790440 802816 806736 823200 823375 840350 843136 860160 878080 896000 900375 903360 921984 922180 940800 941000 941192 960400 963584 968289 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3763200 3764000 3764768 3841600 3854336 3873156 3952200 4014080 4033680 4116000 4201750 4214784 4215680 4300800 4302592 4390400 4426464 4516800 4518682 4609920 4610900 4704000 4705960 4802000 4817920 4841445 4917248 4940250 5017600 5042100 5058816 5164208 5268480 5269600 5376000 5378240 5488000 5533080 5619712 5646000 5647152 5762400 5763625 5781504 5882450 5901952 6021120 6022400 6144000 6146560 6272000 6302625 6323520 6453888 6455260 6585600 6587000 6722800 6745088 6778023 6916350 7024640 7058940 7168000 7203000 7226880 7375872 7377440 7526400 7528000 7529536 7683200 7708672 7746312 7904400 8067360 8069075 8232000 8403500 8429568 8431360 8601600 8605184 8780800 8823675 8852928 9033600 9037364 9219840 9221800 9408000 9411920 9604000 9635840 9682890 9834496 9880500 10035200 10084200 10117632 10328416 10536960 10539200 10752000 10756480 10976000 11066160 11292000 11294304 11296705 11524800 11527250 11563008 11764900 11803904 12042240 12044800 12293120 12544000 12605250 12647040 12907776 12910520 13171200 13174000 13445600 13490176 13556046 13832700 14049280 14117880 14336000 14406000 14453760 14706125 14751744 14754880 15052800 15056000 15059072 15366400 15417344 15492624 15808800 15815387 16134720 16138150 16464000 16807000 16859136 16862720 17210368 17290875 17561600 17647350 17705856 18067200 18074728 18439680 18443600 18816000 18823840 19208000 19271680 19365780 19668992 19761000 20070400 20168400 20235264 20656832 21073920 21078400 21504000 21512960 21952000 22132320 22584000 22588608 22593410 23049600 23054500 23126016 23529800 23607808 24089600 24207225 24586240 25088000 25210500 25294080 25815552 25821040 26342400 26348000 26891200 26980352 27112092 27665400 28098560 28235760 28812000 28907520 29412250 29503488 29509760 30105600 30112000 30118144 30732800 30985248 31617600 31630774 32269440 32276300 32928000 33614000 33725440 33890115 34420736 34581750 35123200 35294700 35411712 36134400 36149456 36879360 36887200 37632000 37647680 38416000 38543360 38731560 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9443123200 9489232200 9637806080 9915279360 10117632000 10121847680 10326220800 10328416000 10627940064 10844836800 11070770900 11294304000 11331747840 11567825920 11803904000 11861540250 12047257600 12146217216 12394099200 12652309600 12907776000 13220372480 13284925080 13490176000 13556046000 13838463625 13881391104 14164684800 14170586752 14456709120 14459782400 14751744000 15059072000 15182771520 15492624000 15815387000 15864446976 16194956288 16525465600 16606156350 17210368000 17351738880 17705856000 17713233440 18070886400 18074728000 18508521472 18886246400 18978464400 19830558720 20235264000 20243695360 20652441600 20656832000 21255880128 21689673600 22141541800 22588608000 23135651840 23607808000 23723080500 24094515200 24292434432 24788198400 25304619200 25815552000 26440744960 26569850160 27112092000 27676927250 27762782208 28329369600 28341173504 28913418240 28919564800 30118144000 30365543040 30985248000 31630774000 32389912576 33050931200 33212312700 34420736000 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170047041024 173517388800 177132334400 180708864000 185085214720 189784644000 194339475456 198305587200 202436953600 212558801280 216896736000 221415418000 226729388032 231356518400 240945152000 242924344320 247881984000 253046192000 259119300608 265698501600 277627822080 283293696000 283411735040 289195648000 303655430400 323899125760 330509312000 332123127000 340094082048 347034777600 354264668800 361417728000 379569288000 388678950912 396611174400 404873907200 425117602560 433793472000 442830836000 453458776064 462713036800 485848688640 495763968000 506092384000 531397003200 555255644160 566823470080 578391296000 607310860800 647798251520 661018624000 664246254000 680188164096 694069555200 708529337600 722835456000 759138576000 777357901824 809747814400 850235205120 867586944000 885661672000 906917552128 925426073600 971697377280 991527936000 1012184768000 1062794006400 1133646940160 1156782592000 1214621721600 1295596503040 1328492508000 1360376328192 1388139110400 1417058675200 1518277152000 1619495628800 1700470410240 1735173888000 1771323344000 1813835104256 1943394754560 1983055872000 2024369536000 2125588012800 2267293880320 2313565184000 2429243443200 2656985016000 2720752656384 2776278220800 2834117350400 3036554304000 3238991257600 3400940820480 3470347776000 3542646688000 3886789509120 4048739072000 4251176025600 4534587760640 4627130368000 4858486886400 5313970032000 5441505312768 5668234700800 6073108608000 6477982515200 6801881640960 6940695552000 7085293376000 8097478144000 8502352051200 9069175521280 9716973772800 10627940064000 11336469401600 12146217216000 13603763281920 13881391104000 14170586752000 16194956288000 17004704102400 19433947545600 21255880128000 22672938803200 24292434432000 27207526563840 28341173504000 32389912576000 34009408204800 42511760256000 45345877606400 48584868864000 56682347008000 68018816409600 85023520512000 97169737728000 113364694016000 136037632819200 170047041024000 226729388032000 340094082048000 680188164096000
- Sum of all divisors σ(n): 2643666549949152
- Sum of proper divisors (its aliquot sum) s(n): 1963478385853152
- 680188164096000 is an abundant number, because the sum of its proper divisors (1963478385853152) is greater than itself. Its abundance is 1283290221757152
Bases of 680188164096000
- Binary: 100110101010100000101001011110011011000000000000002
- Hexadecimal: 0x26AA0A5E6C000
- Base-36: 6P3U4MYQDC
Squares and roots of 680188164096000
- 680188164096000 squared (6801881640960002) is 462655938576287023497216000000
- 680188164096000 cubed (6801881640960003) is 314693093468316414552919764407156736000000000
-
The
square root of 680188164096000 is 26080417.2531039081 -
The
cube root of 680188164096000 is 87944.7037292615
Scales and comparisons
How big is 680188164096000?- 680,188,164,096,000 seconds is equal to 21,627,879 years, 34 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 680,188,164,096,000 would take you about fifty-four million, sixty-nine thousand, six hundred ninety-nine 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 680188164096000 cubic inches would be around 7328.7 feet tall.
Recreational maths with 680188164096000
- 680188164096000 backwards is 000690461881086
- The number of decimal digits it has is: 15
- The sum of 680188164096000's digits is 57
- More coming soon!
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The information we have on file for 680188164096000 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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