106008968626800
106,008,968,626,800 is an even composite number composed of six prime numbers multiplied together.
106008968626800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 106008968626800:
24 × 3 × 52 × 1092 × 1272 × 461
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 109 × 109 × 127 × 127 × 461)See below for interesting mathematical facts about the number 106008968626800 from the Numbermatics database.
Names of 106008968626800
- Cardinal: 106008968626800 can be written as One hundred six trillion, eight billion, nine hundred sixty-eight million, six hundred twenty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.060089686268 × 1014
Factors of 106008968626800
Divisors of 106008968626800
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 127 150 200 218 240 254 300 327 381 400 436 461 508 545 600 635 654 762 872 922 1016 1090 1200 1270 1308 1383 1524 1635 1744 1844 1905 2032 2180 2305 2540 2616 2725 2766 3048 3175 3270 3688 3810 4360 4610 5080 5232 5450 5532 6096 6350 6540 6915 7376 7620 8175 8720 9220 9525 10160 10900 11064 11525 11881 12700 13080 13830 13843 15240 16129 16350 18440 19050 21800 22128 23050 23762 25400 26160 27660 27686 30480 32258 32700 34575 35643 36880 38100 41529 43600 46100 47524 48387 50249 50800 55320 55372 58547 59405 64516 65400 69150 69215 71286 76200 80645 83058 92200 95048 96774 100498 110640 110744 117094 118810 129032 130800 138300 138430 142572 150747 152400 161290 166116 175641 178215 184400 190096 193548 200996 207645 221488 234188 237620 241935 251245 258064 276600 276860 285144 292735 297025 301494 322580 332232 346075 351282 356430 387096 401992 403225 415290 468376 475240 483870 502490 553200 553720 570288 585470 594050 602988 645160 664464 692150 702564 712860 753735 774192 803984 806450 830580 878205 891075 936752 950480 967740 1004980 1038225 1107440 1170940 1188100 1205976 1209675 1256225 1290320 1384300 1405128 1425720 1463675 1507470 1508887 1612900 1661160 1756410 1758061 1782150 1935480 2009960 2076450 2341880 2376200 2411952 2419350 2512450 2768600 2810256 2851440 2927350 3014940 3017774 3225800 3322320 3512820 3516122 3564300 3768675 3870960 4019920 4152900 4391025 4526661 4683760 4752400 4838700 5024900 5274183 5477141 5537200 5854700 6029880 6035548 6381623 6451600 7025640 7032244 7128600 7435469 7537350 7544435 8305800 8782050 8790305 9053322 9677400 10049800 10548366 10954282 11709400 12059760 12071096 12763246 14051280 14064488 14257200 14870938 15074700 15088870 16431423 16611600 17564100 17580610 18106644 19144869 19354800 20099600 21096732 21908564 22306407 22633305 23418800 24142192 25526492 26370915 27385705 28128976 29741876 30149400 30177740 31908115 32862846 35128200 35161220 36213288 37177345 37722175 38289738 42193464 43817128 43951525 44612814 45266610 51052984 52741830 54771410 59483752 60298800 60355480 63816230 65725692 70256400 70322440 72426576 74354690 75444350 76579476 82157115 84386928 87634256 87903050 89225628 90533220 95724345 102105968 105483660 109542820 111532035 113166525 118967504 120710960 127632460 131451384 131854575 136928525 140644880 148709380 150888700 153158952 159540575 164314230 175806100 178451256 181066440 185886725 191448690 191628649 210967320 219085640 223064070 226333050 255264920 262902768 263709150 273857050 297418760 301777400 306317904 319081150 328628460 351612200 356902512 362132880 371773450 382897380 383257298 410785575 421934640 438171280 446128140 452666100 478621725 510529840 527418300 547714100 557660175 574885947 594837520 603554800 638162300 657256920 695596907 703224400 743546900 765794760 766514596 810466121 821571150 892256280 905332200 957243450 958143245 1054836600 1095428200 1115320350 1149771894 1276324600 1314513840 1391193814 1487093800 1531589520 1533029192 1620932242 1643142300 1784512560 1810664400 1914486900 1916286490 2086790721 2109673200 2190856400 2230640700 2299543788 2431398363 2552649200 2782387628 2874429735 2974187600 3066058384 3241864484 3286284600 3477984535 3828973800 3832572980 4052330605 4173581442 4461281400 4599087576 4790716225 4862796726 5564775256 5748859470 6483728968 6572569200 6955969070 7657947600 7665145960 8104661210 8347162884 8922562800 9198175152 9581432450 9725593452 10433953605 11129550512 11497718940 12156991815 12967457936 13911938140 14372148675 15330291920 16209322420 16694325768 17389922675 19162864900 19451186904 20261653025 20867907210 22995437880 24313983630 27823876280 28744297350 32418644840 33388651536 34779845350 38325729800 38902373808 40523306050 41735814420 45990875760 48627967260 52169768025 55647752560 57488594700 60784959075 64837289680 69559690700 76651459600 81046612100 83471628840 88340807189 97255934520 104339536050 114977189400 121569918150 139119381400 162093224200 166943257680 176681614378 194511869040 208679072100 229954378800 243139836300 265022421567 278238762800 324186448400 353363228756 417358144200 441704035945 486279672600 530044843134 706726457512 834716288400 883408071890 972559345200 1060089686268 1325112107835 1413452915024 1766816143780 2120179372536 2208520179725 2650224215670 3533632287560 4240358745072 4417040359450 5300448431340 6625560539175 7067264575120 8834080718900 10600896862680 13251121078350 17668161437800 21201793725360 26502242156700 35336322875600 53004484313400 106008968626800
- Sum of all divisors σ(n): 346195296598536
- Sum of proper divisors (its aliquot sum) s(n): 240186327971736
- 106008968626800 is an abundant number, because the sum of its proper divisors (240186327971736) is greater than itself. Its abundance is 134177359344936
Bases of 106008968626800
- Binary: 110000001101010001000101110101100000010011100002
- Hexadecimal: 0x606A22EB0270
- Base-36: 11KRUIULIO
Squares and roots of 106008968626800
- 106008968626800 squared (1060089686268002) is 11237901429317866677678240000
- 106008968626800 cubed (1060089686268003) is 1191318340051628606358697692025040832000000
-
The
square root of 106008968626800 is 10296065.6867951265 -
The
cube root of 106008968626800 is 47327.5696266287
Scales and comparisons
How big is 106008968626800?- 106,008,968,626,800 seconds is equal to 3,370,757 years, 15 weeks, 2 days, 9 hours, 40 minutes.
-
To count from 1 to 106,008,968,626,800 would take you about eight million, four hundred twenty-six thousand, eight hundred ninety-three 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 106008968626800 cubic inches would be around 3944 feet tall.
Recreational maths with 106008968626800
- 106008968626800 backwards is 008626869800601
- 106008968626800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106008968626800's digits is 60
- More coming soon!
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