106412007488800
106,412,007,488,800 is an even composite number composed of seven prime numbers multiplied together.
106412007488800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106412007488800:
25 × 52 × 13 × 372 × 41 × 421 × 433
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 37 × 41 × 421 × 433)See below for interesting mathematical facts about the number 106412007488800 from the Numbermatics database.
Names of 106412007488800
- Cardinal: 106412007488800 can be written as One hundred six trillion, four hundred twelve billion, seven million, four hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.064120074888 × 1014
Factors of 106412007488800
Divisors of 106412007488800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 65 74 80 82 100 104 130 148 160 164 185 200 205 208 260 296 325 328 370 400 410 416 421 433 481 520 533 592 650 656 740 800 820 842 866 925 962 1025 1040 1066 1184 1300 1312 1369 1480 1517 1640 1684 1732 1850 1924 2050 2080 2105 2132 2165 2405 2600 2665 2738 2960 3034 3280 3368 3464 3700 3848 4100 4210 4264 4330 4810 5200 5330 5473 5476 5629 5920 6068 6560 6736 6845 6928 7400 7585 7696 8200 8420 8528 8660 9620 10400 10525 10660 10825 10946 10952 11258 12025 12136 13325 13472 13690 13856 14800 15170 15392 15577 16021 16400 16840 17056 17261 17320 17753 17797 19240 19721 21050 21320 21650 21892 21904 22516 24050 24272 26650 27365 27380 28145 29600 30340 31154 32042 32800 33680 34225 34522 34640 35506 35594 37925 38480 39442 42100 42640 43300 43784 43808 45032 48100 48544 53300 54730 54760 56129 56290 60680 62308 64084 67360 68450 69044 69280 71012 71188 75850 76960 77885 78884 80105 84200 85280 86305 86600 87568 88765 88985 90064 96200 98605 106600 109460 109520 112258 112580 121360 124616 128168 136825 136900 138088 140725 142024 142376 151700 155770 157768 160210 168400 172610 173200 175136 177530 177970 180128 182293 192400 197210 202501 208273 213200 218920 219040 224393 224516 225160 230789 242720 249232 256336 273650 273800 276176 280645 281450 284048 284752 303400 311540 315536 320420 336800 345220 346400 355060 355940 364586 384800 389425 394420 400525 405002 416546 426400 431525 437840 443825 444925 448786 449032 450320 461578 493025 498464 512672 547300 547600 552352 561290 562900 568096 569504 576349 592777 606800 623080 631072 638657 640840 656861 690440 710120 711880 729172 729677 778850 788840 801050 810004 833092 863050 875680 887650 889850 897572 898064 900640 911465 923156 986050 1012505 1041365 1094600 1095200 1121965 1122580 1125800 1152698 1153945 1185554 1213600 1246160 1277314 1281680 1313722 1380880 1403225 1420240 1423760 1458344 1459354 1557700 1577680 1602100 1620008 1666184 1726100 1775300 1779700 1795144 1796128 1822930 1846312 1972100 2025010 2082730 2189200 2243930 2245160 2251600 2305396 2307890 2369809 2371108 2492320 2554628 2563360 2627444 2761760 2806450 2840480 2847520 2881745 2916688 2918708 2963885 3115400 3155360 3193285 3204200 3240016 3284305 3332368 3452200 3550600 3559400 3590288 3645860 3648385 3692624 3944200 4050020 4165460 4378400 4487860 4490320 4503200 4557325 4610792 4615780 4739618 4742216 5062525 5109256 5206825 5254888 5609825 5612900 5763490 5769725 5833376 5837416 5927770 6230800 6386570 6408400 6480032 6568610 6664736 6744841 6904400 7101200 7118800 7180576 7291720 7296770 7385248 7474013 7492537 7706101 7888400 8100040 8302541 8330920 8539193 8975720 8980640 9114650 9221584 9231560 9479236 9484432 10125050 10218512 10413650 10509776 11219650 11225800 11526980 11539450 11674832 11849045 11855540 12461600 12773140 12816800 13137220 13489682 13808800 14202400 14237600 14408725 14583440 14593540 14819425 14948026 14985074 15412202 15776800 15966425 16200080 16421525 16605082 16661840 17078386 17951440 18229300 18241925 18443168 18463120 18958472 18968864 20250100 20437024 20827300 21019552 22439300 22451600 23053960 23078900 23349664 23630309 23698090 23711080 24303857 25546280 26274440 26979364 28817450 29166880 29187080 29638850 29896052 29970148 30824404 31932850 32400160 32843050 33210164 33323680 33724205 34156772 35902880 36458600 36483850 36926240 37370065 37462685 37916944 38530505 40500200 41512705 41654600 42695965 44878600 44903200 46107920 46157800 47260618 47396180 47422160 48607714 51092560 52548880 53958728 57634900 58374160 59245225 59277700 59792104 59940296 61648808 63865700 65686100 66420328 67448410 68313544 72917200 72967700 74740130 74925370 75833888 77061010 81000400 83025410 83309200 85391930 87682933 89757200 92215840 92315600 94521236 94792360 94844320 97162169 97215428 102185120 105097760 107917456 115269800 116748320 118151545 118490450 118555400 119584208 119880592 121519285 123297616 127731400 131372200 132840656 134896820 136627088 145834400 145935400 149480260 149850740 154122020 162000800 166050820 166618400 168621025 170783860 175365866 179514400 184631200 186850325 187313425 189042472 189584720 192652525 194324338 194430856 207563525 213479825 215834912 230539600 236303090 236980900 237110800 239168416 239761184 243038570 246595232 249559117 255462800 262744400 265681312 269793640 273254176 276538481 291870800 298960520 299701480 307194017 308244040 315950141 332101640 337242050 341567720 350731732 373700650 374626850 378084944 379169440 385305050 388648676 388861712 415127050 426959650 438414665 461079200 472606180 473961800 474221600 485810845 486077140 499118234 510925600 525488800 539587280 553076962 583741600 590757725 597921040 599402960 607596425 614388034 616488080 631900282 664203280 674484100 683135440 701463464 747401300 749253700 756169888 770610100 777297352 777723424 830254100 853919300 876829330 945212360 947923600 971621690 972154280 998236468 1079174560 1106153924 1181515450 1195842080 1198805920 1215192850 1228776068 1232976160 1247795585 1263800564 1328406560 1348968200 1366270880 1382692405 1402926928 1494802600 1498507400 1535970085 1541220200 1554594704 1579750705 1660508200 1707838600 1753658660 1890424720 1895847200 1943243380 1944308560 1996472936 2192073325 2212307848 2363030900 2429054225 2430385700 2457552136 2495591170 2527601128 2697936400 2765384810 2805853856 2989605200 2997014800 3071940170 3082440400 3109189408 3159501410 3244268521 3321016400 3415677200 3507317320 3595000253 3780849440 3886486760 3888617120 3992945872 4384146650 4424615696 4726061800 4858108450 4860771400 4915104272 4991182340 5055202256 5395872800 5530769620 5979210400 5994029600 6143880340 6164880800 6238977925 6319002820 6488537042 6642032800 6831354400 6913462025 7014634640 7190000506 7679850425 7772973520 7898753525 7985891744 8768293300 8849231392 9452123600 9716216900 9721542800 9830208544 9982364680 10110404512 10231923797 11061539240 12287760680 12477955850 12638005640 12977074084 13826924050 14029269280 14380001012 15359700850 15545947040 15797507050 16221342605 17536586600 17975001265 18904247200 19432433800 19443085600 19964729360 20463847594 22123078480 24575521360 24955911700 25276011280 25954148168 27653848100 28760002024 30719401700 31595014100 32442685210 35073173200 35950002530 38864867600 39929458720 40927695188 44246156960 49151042720 49911823400 50552022560 51159618985 51908296336 55307696200 57520004048 61438803400 63190028200 64885370420 70146346400 71900005060 77729735200 81106713025 81855390376 89875006325 99823646800 102319237970 103816592672 110615392400 115040008096 122877606800 126380056400 129770740840 133015009361 143800010120 162213426050 163710780752 179750012650 199647293600 204638475940 221230784800 245755213600 252760112800 255798094925 259541481680 266030018722 287600020240 324426852100 327421561504 359500025300 409276951880 511596189850 519082963360 532060037444 575200040480 648853704200 665075046805 719000050600 818553903760 1023192379700 1064120074888 1297707408400 1330150093610 1438000101200 1637107807520 2046384759400 2128240149776 2595414816800 2660300187220 2876000202400 3325375234025 4092769518800 4256480299552 5320600374440 6650750468050 8185539037600 10641200748880 13301500936100 21282401497760 26603001872200 53206003744400 106412007488800
- Sum of all divisors σ(n): 295921041809904
- Sum of proper divisors (its aliquot sum) s(n): 189509034321104
- 106412007488800 is an abundant number, because the sum of its proper divisors (189509034321104) is greater than itself. Its abundance is 83097026832304
Bases of 106412007488800
- Binary: 110000011000111111110011110011111111101001000002
- Hexadecimal: 0x60C7F9E7FD20
- Base-36: 11PX01S5R4
Squares and roots of 106412007488800
- 106412007488800 squared (1064120074888002) is 11323515337796427282125440000
- 106412007488800 cubed (1064120074888003) is 1204957998925135081635416951660995072000000
-
The
square root of 106412007488800 is 10315619.5882166963 -
The
cube root of 106412007488800 is 47387.4725047273
Scales and comparisons
How big is 106412007488800?- 106,412,007,488,800 seconds is equal to 3,383,572 years, 35 weeks, 4 days, 1 hour, 6 minutes, 40 seconds.
-
To count from 1 to 106,412,007,488,800 would take you about eight million, four hundred fifty-eight thousand, nine hundred thirty-one 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 106412007488800 cubic inches would be around 3949 feet tall.
Recreational maths with 106412007488800
- 106412007488800 backwards is 008884700214601
- The number of decimal digits it has is: 15
- The sum of 106412007488800's digits is 49
- More coming soon!
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The information we have on file for 106412007488800 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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