106974336656000
106,974,336,656,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106974336656000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
106974336656000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 106974336656000:
27 × 53 × 11 × 37 × 73 × 307 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 37 × 73 × 307 × 733)See below for interesting mathematical facts about the number 106974336656000 from the Numbermatics database.
Names of 106974336656000
- Cardinal: 106974336656000 can be written as One hundred six trillion, nine hundred seventy-four billion, three hundred thirty-six million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.06974336656 × 1014
Factors of 106974336656000
Divisors of 106974336656000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 37 40 44 50 55 64 73 74 80 88 100 110 125 128 146 148 160 176 185 200 220 250 275 292 296 307 320 352 365 370 400 407 440 500 550 584 592 614 640 704 730 733 740 800 803 814 880 925 1000 1100 1168 1184 1228 1375 1408 1460 1466 1480 1535 1600 1606 1628 1760 1825 1850 2000 2035 2200 2336 2368 2456 2701 2750 2920 2932 2960 3070 3200 3212 3256 3377 3520 3650 3665 3700 4000 4015 4070 4400 4625 4672 4736 4912 5402 5500 5840 5864 5920 6140 6424 6512 6754 7040 7300 7330 7400 7675 8000 8030 8063 8140 8800 9125 9250 9344 9824 10175 10804 11000 11359 11680 11728 11840 12280 12848 13024 13505 13508 14600 14660 14800 15350 16000 16060 16126 16280 16885 17600 18250 18325 18500 19648 20075 20350 21608 22000 22411 22718 23360 23456 23680 24560 25696 26048 27010 27016 27121 29200 29320 29600 29711 30700 32120 32252 32560 33770 35200 36500 36650 37000 38375 39296 40150 40315 40700 43216 44000 44822 45436 46720 46912 49120 50875 51392 52096 53509 54020 54032 54242 56795 58400 58640 59200 59422 61400 64240 64504 65120 67525 67540 73000 73300 74000 76750 80300 80630 81400 84425 86432 88000 89644 90872 91625 93824 98240 100375 101750 102784 107018 108040 108064 108484 112055 113590 116800 117280 118400 118844 122800 124949 128480 129008 130240 135050 135080 135605 146000 146600 148000 148555 153500 160600 161260 162800 168850 172864 176000 179288 181744 183250 196480 200750 201575 203500 214036 216080 216128 216968 224110 225031 227180 233600 234560 237688 245600 246521 249898 256960 258016 260480 267545 270100 270160 271210 283975 292000 293200 296000 297110 298331 307000 321200 322520 325600 337625 337700 345728 358576 363488 366500 401500 403150 407000 422125 428072 432160 432256 433936 448220 450062 454360 469120 475376 491200 493042 499796 513920 516032 535090 540200 540320 542420 560275 567950 584000 586400 588599 592000 594220 596662 614000 624745 642400 645040 651200 675250 675400 678025 717152 726976 733000 742775 803000 806300 814000 829207 844250 856144 864320 867872 896440 900124 908720 950752 982400 986084 999592 1007875 1032064 1070180 1080400 1080640 1084840 1120550 1125155 1135900 1168000 1172800 1177198 1188440 1193324 1228000 1232605 1249490 1284800 1290080 1302400 1337725 1350500 1350800 1356050 1419875 1434304 1453952 1466000 1485550 1491655 1606000 1612600 1628000 1658414 1688500 1712288 1728640 1735744 1792880 1800248 1817440 1901504 1972168 1979833 1999184 2015750 2140360 2160800 2161280 2169680 2241100 2250310 2271800 2345600 2354396 2376880 2386648 2456000 2465210 2475341 2498980 2569600 2580160 2675450 2701000 2701600 2712100 2801375 2839750 2868608 2932000 2942995 2971100 2983310 3123725 3212000 3225200 3256000 3316828 3377000 3390125 3424576 3471488 3585760 3600496 3634880 3713875 3803008 3944336 3959666 3998368 4031500 4146035 4280720 4321600 4339360 4482200 4500620 4543600 4708792 4753760 4773296 4912000 4930420 4950682 4997960 5160320 5350900 5402000 5403200 5424200 5602750 5625775 5679500 5864000 5885990 5942200 5966620 6163025 6247450 6424000 6450400 6512000 6633656 6688625 6754000 6780250 6849152 7171520 7200992 7269760 7427750 7458275 7888672 7919332 7996736 8063000 8292070 8326147 8561440 8643200 8678720 8964400 9001240 9087200 9121277 9417584 9507520 9546592 9860840 9899165 9901364 9995920 10701800 10804000 10806400 10848400 11205500 11251550 11359000 11728000 11771980 11884400 11933240 12326050 12376705 12494900 12848000 12900800 13267312 13377250 13508000 13560500 14343040 14401984 14714975 14855500 14916550 15618625 15777344 15838664 15993472 16126000 16427263 16584140 16652294 17122880 17357440 17928800 18002480 18174400 18242554 18835168 19015040 19093184 19721680 19798330 19802728 19991840 20730175 21403600 21608000 21696800 21778163 22411000 22503100 22718000 23543960 23768800 23866480 24652100 24753410 24989800 25801600 26534624 26754500 27016000 27121000 28128875 28803968 29429950 29711000 29833100 30815125 31237250 31554688 31677328 32252000 32854526 33168280 33304588 34245760 35857600 36004960 36348800 36485108 37291375 37670336 38186368 39443360 39596660 39605456 39983680 41460350 41630735 42807200 43216000 43393600 43556326 44822000 45006200 45436000 45606385 47087920 47537600 47732960 49304200 49495825 49506820 49979600 53069248 53509000 54032000 54242000 56257750 58859900 59422000 59666200 61630250 61883525 62474500 63354656 64504000 65709052 66336560 66609176 71715200 72009920 72970216 73574875 74582750 75340672 78886720 79193320 79210912 79967360 82136315 82920700 83261470 85614400 86787200 87112652 89644000 90012400 90872000 91212770 91587617 94175840 95075200 95465920 98608400 98991650 99013640 99959200 103650875 106138496 107018000 108484000 108890815 112515500 117719800 118844000 119332400 123260500 123767050 124949000 126709312 129008000 131418104 132673120 133218352 144019840 145940432 147149750 149165500 157773440 158386640 158421824 164272630 165841400 166522940 171228800 174225304 179288000 180024800 180699893 181744000 182425540 183175234 188351680 190931840 197216800 197983300 198027280 199918400 207301750 208153675 214036000 216968000 217781630 225031000 228031925 235439600 237688000 238664800 246521000 247479125 247534100 249898000 253418624 262836208 265346240 266436704 291880864 294299500 298331000 309417625 316773280 316843648 328545260 331682800 333045880 348450608 358576000 360049600 361399786 364851080 366350468 376703360 394433600 395966600 396054560 399836800 410681575 414603500 416307350 428072000 433936000 435563260 450062000 456063850 457938085 470879200 475376000 477329600 493042000 494958250 495068200 499796000 525672416 530692480 532873408 544454075 583761728 588599000 596662000 607808731 618835250 633546560 657090520 663365600 666091760 696901216 720099200 722799572 729702160 732700936 788867200 791933200 792109120 821363150 829207000 832614700 856144000 871126520 900124000 903499465 912127700 915876170 941758400 954659200 986084000 989916500 990136400 999592000 1040768375 1051344832 1065746816 1088908150 1140159625 1167523456 1177198000 1193324000 1215617462 1237670500 1267093120 1314181040 1326731200 1332183520 1393802432 1445599144 1459404320 1465401872 1583866400 1584218240 1642726300 1658414000 1665229400 1742253040 1800248000 1806998930 1824255400 1831752340 1883516800 1972168000 1979833000 1980272800 1999184000 2053407875 2081536750 2102689664 2177816300 2280319250 2289690425 2354396000 2386648000 2431234924 2475341000 2628362080 2653462400 2664367040 2722270375 2787604864 2891198288 2918808640 2930803744 3039043655 3167732800 3285452600 3316828000 3330458800 3484506080 3600496000 3613997860 3648510800 3663504680 3944336000 3959666000 3960545600 4106815750 4163073500 4355632600 4517497325 4560638500 4579380850 4708792000 4773296000 4862469848 4950682000 5256724160 5328734080 5444540750 5782396576 5837617280 5861607488 6078087310 6335465600 6570905200 6633656000 6660917600 6685896041 6969012160 7227995720 7297021600 7327009360 7919332000 7921091200 8213631500 8326147000 8711265200 9034994650 9121277000 9158761700 9417584000 9724939696 9901364000 10513448320 10889081500 11448452125 11564793152 11723214976 12156174620 13141810400 13267312000 13321835200 13371792082 13938024320 14455991440 14594043200 14654018720 15195218275 15838664000 16427263000 16652294000 17422530400 18069989300 18242554000 18317523400 19449879392 19802728000 21778163000 22587486625 22896904250 23129586304 24312349240 26283620800 26643670400 26743584164 28911982880 29188086400 29308037440 30390436550 31677328000 32854526000 33304588000 33429480205 34845060800 36139978600 36485108000 36635046800 38899758784 39605456000 43556326000 45174973250 45793808500 48624698480 52567241600 53487168328 57823965760 58616074880 60780873100 65709052000 66609176000 66858960410 69690121600 72279957200 72970216000 73270093600 75976091375 77799517568 87112652000 90349946500 91587617000 97249396960 106974336656 115647931520 121561746200 131418104000 133218352000 133717920820 144559914400 145940432000 146540187200 151952182750 167147401025 174225304000 180699893000 183175234000 194498793920 213948673312 243123492400 262836208000 267435841640 289119828800 293080374400 303904365500 334294802050 348450608000 361399786000 366350468000 388997587840 427897346624 486246984800 534871683280 578239657600 607808731000 668589604100 722799572000 732700936000 835737005125 855794693248 972493969600 1069743366560 1215617462000 1337179208200 1445599144000 1465401872000 1671474010250 1944987939200 2139486733120 2431234924000 2674358416400 2891198288000 3342948020500 4278973466240 4862469848000 5348716832800 6685896041000 9724939696000 10697433665600 13371792082000 21394867331200 26743584164000 53487168328000 106974336656000
- Sum of all divisors σ(n): 303464656535040
- Sum of proper divisors (its aliquot sum) s(n): 196490319879040
- 106974336656000 is an abundant number, because the sum of its proper divisors (196490319879040) is greater than itself. Its abundance is 89515983223040
Bases of 106974336656000
- Binary: 110000101001010111001110101011000100010100000002
- Hexadecimal: 0x614AE7562280
- Base-36: 11X3BY1S3K
Squares and roots of 106974336656000
- 106974336656000 squared (1069743366560002) is 11443508702991225262336000000
- 106974336656000 cubed (1069743366560003) is 1224161752519649245427063180988416000000000
-
The
square root of 106974336656000 is 10342839.8738450941 -
The
cube root of 106974336656000 is 47470.7981775859
Scales and comparisons
How big is 106974336656000?- 106,974,336,656,000 seconds is equal to 3,401,453 years, 4 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 106,974,336,656,000 would take you about eight million, five hundred three thousand, six hundred thirty-two 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 106974336656000 cubic inches would be around 3955.9 feet tall.
Recreational maths with 106974336656000
- 106974336656000 backwards is 000656633479601
- The number of decimal digits it has is: 15
- The sum of 106974336656000's digits is 56
- More coming soon!
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The information we have on file for 106974336656000 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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