106418309984000
106,418,309,984,000 is an even composite number composed of six prime numbers multiplied together.
106418309984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106418309984000:
28 × 53 × 7 × 292 × 181 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 29 × 29 × 181 × 3121)See below for interesting mathematical facts about the number 106418309984000 from the Numbermatics database.
Names of 106418309984000
- Cardinal: 106418309984000 can be written as One hundred six trillion, four hundred eighteen billion, three hundred nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.06418309984 × 1014
Factors of 106418309984000
Divisors of 106418309984000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 125 128 140 145 160 175 181 200 203 224 232 250 256 280 290 320 350 362 400 406 448 464 500 560 580 640 700 724 725 800 812 841 875 896 905 928 1000 1015 1120 1160 1267 1280 1400 1448 1450 1600 1624 1682 1750 1792 1810 1856 2000 2030 2240 2320 2534 2800 2896 2900 3121 3200 3248 3364 3500 3620 3625 3712 4000 4060 4205 4480 4525 4640 5068 5075 5249 5600 5792 5800 5887 6242 6335 6400 6496 6728 7000 7240 7250 7424 8000 8120 8410 8960 9050 9280 10136 10150 10498 11200 11584 11600 11774 12484 12670 12992 13456 14000 14480 14500 15605 16000 16240 16820 18100 18560 20272 20300 20996 21025 21847 22400 22625 23168 23200 23548 24968 25340 25375 25984 26245 26912 28000 28960 29000 29435 31210 31675 32000 32480 33640 36200 36743 37120 40544 40600 41992 42050 43694 44800 45250 46336 46400 47096 49936 50680 50750 51968 52490 53824 56000 57920 58000 58870 62420 63350 64960 67280 72400 73486 78025 81088 81200 83984 84100 87388 90500 90509 92800 94192 99872 101360 101500 104980 105125 107648 109235 112000 115840 116000 117740 124840 126700 129920 131225 134560 144800 146972 147175 152221 156050 158375 162176 162400 167968 168200 174776 181000 181018 183715 185600 188384 199744 202720 203000 209960 210250 215296 218470 224000 231680 232000 235480 249680 253400 259840 262450 269120 289600 293944 294350 304442 312100 316750 324352 324800 335936 336400 349552 362000 362036 367430 376768 390125 399488 405440 406000 419920 420500 436940 452545 464000 470960 499360 506800 524900 538240 546175 564901 579200 587888 588700 608884 624200 633500 633563 649600 656125 671872 672800 699104 724000 724072 734860 735875 753536 761105 780250 798976 810880 812000 839840 841000 873880 905090 918575 928000 941920 998720 1013600 1049800 1065547 1076480 1092350 1129802 1158400 1175776 1177400 1217768 1248400 1267000 1267126 1299200 1312250 1343744 1345600 1398208 1448000 1448144 1469720 1471750 1507072 1522210 1560500 1621760 1624000 1679680 1682000 1747760 1810180 1837150 1883840 1997440 2027200 2099600 2131094 2184700 2259604 2262725 2351552 2354800 2435536 2496800 2534000 2534252 2624500 2624761 2691200 2730875 2796416 2824505 2896000 2896288 2939440 2943500 3044420 3121000 3167815 3248000 3359360 3364000 3495520 3620360 3674300 3767680 3805525 3954307 3994880 4054400 4199200 4262188 4369400 4519208 4525450 4592875 4703104 4709600 4871072 4993600 5068000 5068504 5249000 5249522 5327735 5382400 5461750 5592832 5649010 5792000 5792576 5878880 5887000 6088840 6242000 6335630 6496000 6718720 6728000 6991040 7240720 7348600 7535360 7611050 7908614 8108800 8398400 8524376 8738800 9038416 9050900 9185750 9406208 9419200 9742144 9987200 10136000 10137008 10498000 10499044 10655470 10923500 11298020 11313625 11585152 11757760 11774000 12177680 12484000 12671260 13123805 13456000 13982080 14122525 14481440 14697200 15222100 15817228 15839075 16382129 16796800 17048752 17477600 18076832 18101800 18371500 18373327 18838400 19027625 19484288 19771535 19974400 20272000 20274016 20996000 20998088 21310940 21847000 22596040 22627250 23170304 23515520 23548000 24355360 24968000 25342520 26247610 26638675 26912000 27964160 28245050 28962880 29394400 30444200 31634456 31678150 32764258 33593600 34097504 34955200 36153664 36203600 36743000 36746654 37676800 38055250 38968576 39543070 40544000 40548032 41992000 41996176 42621880 43694000 45192080 45254500 47031040 47096000 48710720 49936000 50685040 52495220 53277350 56490100 57925760 58788800 60888400 63268912 63356300 65528516 65619025 68195008 69910400 70612625 72307328 72407200 73486000 73493308 76110500 79086140 79195375 81096064 81910645 83984000 83992352 85243760 87388000 90384160 90509000 91866635 94192000 97421440 98857675 99872000 101370080 104990440 106554700 112980200 114674903 115851520 117577600 121776800 126537824 126712600 131057032 131238050 133193375 136390016 139820800 141225250 144614656 144814400 146972000 146986616 152221000 158172280 158390750 162192128 163821290 167968000 167984704 170487520 174776000 180768320 181018000 183733270 188384000 194842880 197715350 202740160 209980880 213109400 225960400 229349806 235155200 243553600 253075648 253425200 262114064 262476100 266386750 272780032 282450500 289628800 293944000 293973232 304442000 316344560 316781500 327642580 328095125 335969408 340975040 349552000 361536640 362036000 367466540 395430700 405480320 409553225 419961760 426218800 451920800 458699612 459333175 475081741 487107200 494288375 506151296 506850400 524228128 524952200 532773500 564901000 573374515 579257600 587888000 587946464 608884000 632689120 633563000 655285160 656190250 671938816 681950080 699104000 723073280 724072000 734933080 790861400 810960640 819106450 839923520 852437600 903841600 917399224 918666350 950163482 974214400 988576750 1012302592 1013700800 1048456256 1049904400 1065547000 1129802000 1146749030 1175776000 1175892928 1217768000 1265378240 1267126000 1310570320 1312380500 1363900160 1448144000 1469866160 1581722800 1638212900 1679847040 1704875200 1807683200 1834798448 1837332700 1900326964 1977153500 2027401600 2047766125 2096912512 2099808800 2131094000 2259604000 2293498060 2296665875 2351785856 2375408705 2435536000 2530756480 2534252000 2621140640 2624761000 2866872575 2896288000 2939732320 3163445600 3276425800 3325572187 3359694080 3409750400 3615366400 3669596896 3674665400 3800653928 3954307000 4054803200 4095532250 4193825024 4199617600 4262188000 4519208000 4586996120 4593331750 4703571712 4750817410 4871072000 5061512960 5068504000 5242281280 5249522000 5733745150 5879464640 6326891200 6552851600 6651144374 6819500800 7339193792 7349330800 7601307856 7908614000 8191064500 8399235200 8524376000 9038416000 9173992240 9186663500 9501634820 10137008000 10484562560 10499044000 11467490300 11758929280 11877043525 12653782400 13105703200 13302288748 14334362875 14678387584 14698661600 15202615712 15817228000 16382129000 16627860935 16798470400 17048752000 18076832000 18347984480 18373327000 19003269640 20274016000 20969125120 20998088000 22934980600 23517858560 23754087050 25307564800 26211406400 26604577496 28668725750 29356775168 29397323200 30405231424 31634456000 32764258000 33255721870 34097504000 36695968960 36746654000 38006539280 41996176000 45869961200 47508174100 52422812800 53209154992 57337451500 58794646400 59385217625 60810462848 63268912000 65528516000 66511443740 73391937920 73493308000 76013078560 83139304675 83992352000 91739922400 95016348200 104845625600 106418309984 114674903000 117589292800 118770435250 121620925696 126537824000 131057032000 133022887480 146783875840 146986616000 152026157120 166278609350 183479844800 190032696400 212836619968 229349806000 237540870500 262114064000 266045774960 293973232000 304052314240 332557218700 366959689600 380065392800 415696523375 425673239936 458699612000 475081741000 524228128000 532091549920 587946464000 608104628480 665114437400 733919379200 760130785600 831393046750 851346479872 917399224000 950163482000 1064183099840 1330228874800 1520261571200 1662786093500 1834798448000 1900326964000 2128366199680 2660457749600 3040523142400 3325572187000 3669596896000 3800653928000 4256732399360 5320915499200 6651144374000 7601307856000 10641830998400 13302288748000 15202615712000 21283661996800 26604577496000 53209154992000 106418309984000
- Sum of all divisors σ(n): 315615212045952
- Sum of proper divisors (its aliquot sum) s(n): 209196902061952
- 106418309984000 is an abundant number, because the sum of its proper divisors (209196902061952) is greater than itself. Its abundance is 102778592077952
Bases of 106418309984000
- Binary: 110000011001001011100011001000001101111000000002
- Hexadecimal: 0x60C971906F00
- Base-36: 11PZWA4I68
Squares and roots of 106418309984000
- 106418309984000 squared (1064183099840002) is 11324856699850714080256000000
- 106418309984000 cubed (1064183099840003) is 1205172110809092537516436462075904000000000
-
The
square root of 106418309984000 is 10315925.0668081145 -
The
cube root of 106418309984000 is 47388.4080301721
Scales and comparisons
How big is 106418309984000?- 106,418,309,984,000 seconds is equal to 3,383,773 years, 4 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 106,418,309,984,000 would take you about eight million, four hundred fifty-nine thousand, four 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 106418309984000 cubic inches would be around 3949 feet tall.
Recreational maths with 106418309984000
- 106418309984000 backwards is 000489903814601
- The number of decimal digits it has is: 15
- The sum of 106418309984000's digits is 53
- More coming soon!
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The information we have on file for 106418309984000 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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