106040624896800
106,040,624,896,800 is an even composite number composed of six prime numbers multiplied together.
106040624896800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 106040624896800:
25 × 32 × 52 × 112 × 41 × 17232
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 41 × 1723 × 1723)See below for interesting mathematical facts about the number 106040624896800 from the Numbermatics database.
Names of 106040624896800
- Cardinal: 106040624896800 can be written as One hundred six trillion, forty billion, six hundred twenty-four million, eight hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.060406248968 × 1014
Factors of 106040624896800
Divisors of 106040624896800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 41 44 45 48 50 55 60 66 72 75 80 82 88 90 96 99 100 110 120 121 123 132 144 150 160 164 165 176 180 198 200 205 220 225 240 242 246 264 275 288 300 328 330 352 360 363 369 396 400 410 440 450 451 480 484 492 495 528 550 600 605 615 656 660 720 726 738 792 800 820 825 880 900 902 968 984 990 1025 1056 1089 1100 1200 1210 1230 1312 1320 1353 1440 1452 1476 1584 1640 1650 1723 1760 1800 1804 1815 1845 1936 1968 1980 2050 2178 2200 2255 2400 2420 2460 2475 2640 2706 2904 2952 3025 3075 3168 3280 3300 3446 3600 3608 3630 3690 3872 3936 3960 4059 4100 4356 4400 4510 4840 4920 4950 4961 5169 5280 5412 5445 5808 5904 6050 6150 6560 6600 6765 6892 7200 7216 7260 7380 7920 8118 8200 8615 8712 8800 9020 9075 9225 9680 9840 9900 9922 10338 10824 10890 11275 11616 11808 12100 12300 13200 13530 13784 14432 14520 14760 14883 15507 15840 16236 16400 17230 17424 18040 18150 18450 18953 19360 19680 19800 19844 20295 20676 21648 21780 22550 24200 24600 24805 25845 26400 27060 27225 27568 29040 29520 29766 31014 32472 32800 33825 34460 34848 36080 36300 36900 37906 39600 39688 40590 41352 43075 43296 43560 44649 45100 48400 49200 49610 51690 54120 54450 55136 56859 58080 59040 59532 62028 64944 67650 68920 70643 72160 72600 73800 74415 75812 77535 79200 79376 81180 82704 86150 87120 89298 90200 94765 96800 98400 99220 101475 103380 108240 108900 113718 119064 124025 124056 129225 129888 135300 137840 141286 145200 147600 148830 151624 155070 158752 162360 165408 170577 172300 174240 178596 180400 189530 198440 202950 206760 208483 211929 216480 217800 223245 227436 238128 248050 248112 258450 270600 275680 282572 284295 290400 295200 297660 303248 310140 324720 341154 344600 353215 357192 360800 372075 379060 387675 396880 405900 413520 416966 423858 435600 446490 454872 473825 476256 496100 496224 516900 541200 565144 568590 595320 606496 620280 625449 635787 649440 682308 689200 706430 714384 744150 758120 775350 777073 793760 811800 827040 833932 847716 852885 871200 892980 909744 947650 992200 1033800 1042415 1059645 1082400 1116225 1130288 1137180 1190640 1240560 1250898 1271574 1364616 1378400 1412860 1421475 1428768 1488300 1516240 1550700 1554146 1623600 1667864 1695432 1705770 1766075 1785960 1819488 1876347 1895300 1984400 2067600 2084830 2119290 2232450 2260576 2274360 2331219 2381280 2481120 2501796 2543148 2729232 2825720 2842950 2968729 2976600 3032480 3101400 3108292 3127245 3178935 3247200 3335728 3390864 3411540 3532150 3571920 3752694 3790600 3885365 3968800 4135200 4169660 4238580 4264425 4464900 4548720 4662438 5003592 5086296 5212075 5298225 5458464 5651440 5685900 5937458 5953200 6202800 6216584 6254490 6357870 6671456 6781728 6823080 6993657 7064300 7143840 7505388 7581200 7770730 8339320 8477160 8528850 8547803 8906187 8929800 9097440 9324876 9381735 10007184 10172592 10424150 10596450 11302880 11371800 11656095 11874916 11906400 12405600 12433168 12508980 12715740 13646160 13987314 14128600 14843645 15010776 15162400 15541460 15636225 15894675 16678640 16954320 17057700 17095606 17812374 17859600 18649752 18763470 19426825 20014368 20345184 20848300 21192900 22743600 23312190 23749832 24866336 25017960 25431480 25643409 26718561 27292320 27974628 28257200 29687290 30021552 31082920 31272450 31789350 32656019 33357280 33908640 34115400 34191212 34968285 35624748 35719200 37299504 37526940 38853650 41696600 42385800 42739015 44530935 45487200 46624380 46908675 47499664 50035920 50862960 51286818 53437122 55949256 56514400 58280475 59374580 60043104 62165840 62544900 63578700 65312038 68230800 68382424 69936570 71249496 74218225 74599008 75053880 76930227 77707300 83393200 84771600 85478030 89061870 93248760 93817350 94999328 97968057 100071840 101725920 102573636 106874244 111898512 116560950 118749160 121717889 124331680 125089800 127157400 128217045 130624076 133592805 136461600 136764848 139873140 142498992 148436450 150107760 153860454 155414600 163280095 166786400 169543200 170956060 174841425 178123740 186497520 187634700 195936114 205147272 213695075 213748488 222654675 223797024 233121900 237498320 243435778 250179600 254314800 256434090 261248152 267185610 273529696 279746280 284997984 293904171 296872900 300215520 307720908 310829200 326560190 341912120 349682850 356247480 359216209 365153667 372995040 375269400 384651135 391872228 410294544 427390150 427496976 445309350 466243800 474996640 486871556 489840285 500359200 508629600 512868180 522496304 534371220 559492560 587808342 593745800 608589445 615441816 621658400 641085225 653120380 667964025 683824240 699365700 712494960 718432418 730307334 750538800 769302270 783744456 816400475 820589088 854780300 854993952 890618700 932487600 973743112 979680570 1025736360 1044992608 1068742440 1077648627 1095461001 1118985120 1175616684 1187491600 1217178890 1230883632 1282170450 1306240760 1335928050 1338896779 1367648480 1398731400 1424989920 1436864836 1460614668 1469520855 1501077600 1538604540 1567488912 1632800950 1709560600 1781237400 1796081045 1825768335 1864975200 1923255675 1947486224 1959361140 2051472720 2137484880 2155297254 2190922002 2351233368 2374983200 2434357780 2449201425 2461767264 2564340900 2612481520 2671856100 2677793558 2797462800 2873729672 2921229336 2939041710 3042947225 3077209080 3134977824 3232945881 3265601900 3419121200 3562474800 3592162090 3651536670 3846511350 3894972448 3918722280 4016690337 4102945440 4274969760 4310594508 4381844004 4702466736 4868715560 4898402850 5128681800 5224963040 5343712200 5355587116 5388243135 5477305005 5594925600 5747459344 5842458672 5878083420 6085894450 6154418160 6465891762 6531203800 6694483895 6838242400 7124949600 7184324180 7303073340 7347604275 7693022700 7837444560 8033380674 8621189016 8763688008 8980405225 9128841675 9404933472 9737431120 9796805700 10257363600 10687424400 10711174232 10776486270 10954610010 11494918688 11684917344 11756166840 12050071011 12171788900 12308836320 12931783524 13062407600 13388967790 14368648360 14606146680 14695208550 14727864569 15386045400 15674889120 16066761348 16164729405 17242378032 17527376016 17960810450 18257683350 19474862240 19593611400 20083451685 20514727200 21374848800 21422348464 21552972540 21909220020 23512333680 24100142022 24343577800 25863567048 26124815200 26777935580 26941215675 27386525025 28737296720 29212293360 29390417100 29455729138 30772090800 32133522696 32329458810 33472419475 34484756064 35054752032 35921620900 36515366700 39187222800 40166903370 42844696928 43105945080 43818440040 44183593707 47024667360 48200284044 48687155600 51727134096 53555871160 53882431350 54773050050 57474593440 58424586720 58780834200 58911458276 60250355055 61544181600 64267045392 64658917620 66944838950 71843241800 73030733400 73639322845 78374445600 80333806740 80823647025 86211890160 87636880080 88367187414 96400568088 97374311200 100417258425 103454268192 107111742320 107764862700 109546100100 117561668400 117822916552 120500710110 128534090784 129317835240 132550781121 133889677900 143686483600 146061466800 147278645690 160667613480 161647294050 172423780320 175273760160 176734374828 192801136176 200834516850 214223484640 215529725400 219092200200 220917968535 235123336800 235645833104 241001420220 258635670480 265101562242 267779355800 287372967200 292122933600 294557291380 301251775275 321335226960 323294588100 353468749656 368196614225 385602272352 401669033700 431059450800 438184400400 441835937070 471291666208 482002840440 517271340960 530203124484 535558711600 589114582760 602503550550 642670453920 646589176200 662753905605 706937499312 736393228450 803338067400 862118901600 876368800800 883671874140 964005680880 1060406248968 1071117423200 1104589842675 1178229165520 1205007101100 1293178352400 1325507811210 1413874998624 1472786456900 1606676134800 1767343748280 1928011361760 2120812497936 2209179685350 2356458331040 2410014202200 2586356704800 2651015622420 2945572913800 3213352269600 3313769528025 3534687496560 4241624995872 4418359370700 4820028404400 5302031244840 5891145827600 6627539056050 7069374993120 8836718741400 9640056808800 10604062489680 11782291655200 13255078112100 17673437482800 21208124979360 26510156224200 35346874965600 53020312448400 106040624896800
- Sum of all divisors σ(n): 421278419178162
- Sum of proper divisors (its aliquot sum) s(n): 315237794281362
- 106040624896800 is an abundant number, because the sum of its proper divisors (315237794281362) is greater than itself. Its abundance is 209197169384562
Bases of 106040624896800
- Binary: 110000001110001100000011100011101011011001000002
- Hexadecimal: 0x607181C75B20
- Base-36: 11L6E26BS0
Squares and roots of 106040624896800
- 106040624896800 squared (1060406248968002) is 11244614128503840010650240000
- 106040624896800 cubed (1060406248968003) is 1192385908909933331567761816900895232000000
-
The
square root of 106040624896800 is 10297602.8713871075 -
The
cube root of 106040624896800 is 47332.2801249795
Scales and comparisons
How big is 106040624896800?- 106,040,624,896,800 seconds is equal to 3,371,763 years, 45 weeks, 10 hours.
-
To count from 1 to 106,040,624,896,800 would take you about eight million, four hundred twenty-nine thousand, four hundred 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 106040624896800 cubic inches would be around 3944.4 feet tall.
Recreational maths with 106040624896800
- 106040624896800 backwards is 008698426040601
- The number of decimal digits it has is: 15
- The sum of 106040624896800's digits is 54
- More coming soon!
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The information we have on file for 106040624896800 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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