642102961378816
642,102,961,378,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 642102961378816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
642102961378816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 642102961378816:
29 × 7 × 172 × 73 × 167 × 211 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 17 × 73 × 167 × 211 × 241)See below for interesting mathematical facts about the number 642102961378816 from the Numbermatics database.
Names of 642102961378816
- Cardinal: 642102961378816 can be written as Six hundred forty-two trillion, one hundred two billion, nine hundred sixty-one million, three hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 6.42102961378816 × 1014
Factors of 642102961378816
Divisors of 642102961378816
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 56 64 68 73 112 119 128 136 146 167 211 224 238 241 256 272 289 292 334 422 448 476 482 511 512 544 578 584 668 844 896 952 964 1022 1088 1156 1168 1169 1241 1336 1477 1687 1688 1792 1904 1928 2023 2044 2176 2312 2336 2338 2482 2672 2839 2954 3374 3376 3584 3587 3808 3856 4046 4088 4097 4352 4624 4672 4676 4964 5344 5678 5908 6748 6752 7174 7616 7712 8092 8176 8194 8687 8704 9248 9344 9352 9928 10688 11356 11816 12191 13496 13504 14348 15232 15403 15424 16184 16352 16388 17374 17593 18496 18688 18704 19856 19873 21097 21376 22712 23632 24382 25109 26992 27008 28679 28696 30464 30806 30848 32368 32704 32776 34748 35186 35237 36992 37376 37408 39712 39746 40247 42194 42752 45424 47264 48263 48764 50218 50851 53984 54016 57358 57392 60928 60979 61612 61696 64736 65408 65552 69496 69649 70372 70474 73984 74816 79424 79492 80494 84388 85337 85504 90848 94528 96526 97528 100436 101702 107821 107968 108032 114716 114784 121958 123151 123224 123392 129472 130816 131104 138992 139298 140744 140948 147679 147968 149632 158848 158984 160988 168776 170674 181696 189056 193052 195056 200872 203404 207247 215642 215936 229432 229568 243916 246302 246448 246659 258944 261632 261851 262208 277984 278596 281488 281729 281896 295358 299081 299264 317696 317968 321976 337552 337841 341348 355957 363392 378112 386104 390112 401744 406808 414494 426853 431284 431872 458864 459136 487543 487832 492604 492896 493318 517888 523702 524416 555968 557192 562976 563458 563792 590716 598162 598528 599029 635392 635936 643952 675104 675682 682696 684199 711914 726784 756224 772208 780224 803488 813616 828988 853706 862568 863744 864467 917728 918272 975086 975664 985208 985792 986636 1035776 1047404 1048832 1111936 1114384 1125952 1126916 1127584 1181432 1196324 1198058 1271872 1287904 1350208 1351364 1365392 1368398 1423828 1450729 1453568 1544416 1560448 1606976 1627232 1657976 1707412 1725136 1728934 1832957 1835456 1836544 1950172 1951328 1970416 1971584 1973272 2093567 2094808 2097664 2223872 2228768 2251904 2253832 2255168 2362864 2392648 2396116 2543744 2572301 2575808 2700416 2702728 2730784 2736796 2847656 2901458 2938031 3088832 3120896 3213952 3254464 3315952 3414824 3450272 3457868 3523199 3665914 3670912 3712123 3900344 3902656 3940832 3943168 3946544 4187134 4189616 4193203 4447744 4451467 4457536 4503808 4507664 4510336 4725728 4785296 4789393 4792232 5084377 5087488 5144602 5151616 5400832 5405456 5461568 5473592 5695312 5802916 5876062 6051269 6177664 6241792 6427904 6508928 6631904 6829648 6900544 6915736 7046398 7331828 7341824 7424246 7800688 7805312 7881664 7886336 7893088 8374268 8379232 8386406 8492117 8902934 8915072 9007616 9015328 9020672 9451456 9570592 9578786 9584464 10168754 10174976 10183493 10289204 10303232 10801664 10810912 10923136 10947184 11390624 11605832 11631383 11752124 12102538 12355328 12855808 13017856 13263808 13659296 13801088 13831472 14092796 14663656 14683648 14695939 14848492 15601376 15610624 15763328 15786176 16748536 16758464 16772812 16984234 17805868 17830144 18006107 18030656 18041344 18902912 19141184 19157572 19168928 20337508 20366986 20566217 20578408 20606464 21621824 21846272 21894368 22781248 23211664 23262766 23504248 24205076 24662393 24710656 25984861 26035712 26527616 27318592 27602176 27662944 28185592 29327312 29391878 29696984 31160269 31202752 31221248 31526656 31572352 33497072 33516928 33545624 33968468 35590639 35611736 35660288 36012214 36061312 37805824 38282368 38315144 38337856 40675016 40733972 41132434 41156816 43243648 43692544 43729117 43788736 45562496 46423328 46525532 47008496 48410152 49324786 49946527 51969722 53055232 54637184 55204352 55325888 56371184 58654624 58783756 59393968 59444819 62320538 62405504 63053312 63106091 63144704 66994144 67033856 67091248 67936936 71181278 71223472 71284451 72024428 72122624 75611648 76564736 76630288 76675712 81350032 81419681 81467944 82264868 82313632 86487296 87458234 87577472 91124992 92846656 93051064 94016992 96820304 98649572 99893054 102871573 103939444 106110464 109274368 110651776 112742368 117309248 117567512 118787936 118889638 124641076 124811008 126212182 126289408 133988288 134067712 134182496 135873872 142362556 142446944 142568902 144048856 144245248 144365989 153129472 153260576 153351424 162700064 162839362 162935888 164529736 164627264 172974592 174916468 175154944 182249984 185693312 186102128 188033984 193640608 197299144 199786108 205743146 207878888 218548736 221303552 225484736 234618496 235135024 237575872 237779276 249282152 249622016 252424364 267976576 268364992 271747744 284725112 284893888 285137804 288097712 288731978 306103819 306521152 306702848 325400128 325678724 325871776 329059472 329254528 349625689 349832936 350309888 371386624 372204256 376067968 387281216 394598288 399572216 411486292 415757776 441742637 442607104 450969472 469236992 470270048 475151744 475558552 498564304 504848728 535953152 536729984 543495488 569450224 569787776 570275608 576195424 577463956 612207638 613042304 619924541 650800256 651357448 651743552 658118944 658509056 699251378 699665872 742773248 743394989 744408512 752135936 774562432 789196576 799144432 822972584 831515552 849090959 883485274 901938944 938473984 940540096 950303488 951117104 997128608 1009697456 1010561923 1071906304 1072803547 1073459968 1086990976 1138900448 1139575552 1140551216 1152390848 1154927912 1224415276 1226084608 1239849082 1301600512 1302714896 1303487104 1316237888 1317018112 1398502756 1399331744 1486789978 1488817024 1504271872 1549124864 1578393152 1598288864 1645945168 1663031104 1698181918 1766970548 1803877888 1881080192 1900606976 1902234208 1994257216 2019394912 2021123846 2145607094 2146919936 2173981952 2277800896 2279151104 2281102432 2304781696 2309855824 2448830552 2452169216 2454221813 2479698164 2603201024 2605429792 2606974208 2632475776 2797005512 2798663488 2973579956 2977634048 3098249728 3156786304 3196577728 3291890336 3326062208 3396363836 3533941096 3762160384 3804468416 3988514432 4038789824 4042247692 4291214188 4339471787 4347963904 4555601792 4562204864 4609563392 4619711648 4897661104 4908443626 4959396328 5203764923 5210859584 5213948416 5264951552 5594011024 5597326976 5943636713 5947159912 5955268096 6313572608 6393155456 6583780672 6652124416 6792727672 7067882192 7509624829 7524320768 7608936832 7977028864 8077579648 8084495384 8582428376 8678943574 9111203584 9124409728 9219126784 9239423296 9795322208 9816887252 9918792656 10407529846 10421719168 10529903104 10538717197 11188022048 11194653952 11887273426 11894319824 12627145216 12786310912 13167561344 13304248832 13585455344 14135764384 15019249658 15217873664 15954057728 16155159296 16168990768 17164856752 17179552691 17357887148 18222407168 18248819456 18478846592 19590644416 19633774504 19837585312 20815059692 20843438336 21077434394 22376044096 22389307904 23774546852 23788639648 25572621824 26335122688 27170910688 28271528768 30038499316 30435747328 32310318592 32337981536 34329713504 34359105382 34715774296 36497638912 36957693184 39181288832 39267549008 39675170624 41630119384 41686876672 42154868788 44752088192 47549093704 47577279296 52670245376 54341821376 56543057536 60076998632 64675963072 68659427008 68718210764 69431548592 73771020379 73915386368 78362577664 78535098016 79350341248 83260238768 84309737576 89504176384 95098187408 95154558592 108683642752 113086115072 120153997264 129351926144 137318854016 137436421528 138863097184 147542040758 156725155328 157070196032 158700682496 166520477536 168619475152 179008352768 179158192349 190196374816 190309117184 217367285504 226172230144 240307994528 258703852288 274637708032 274872843056 277726194368 295084081516 314140392064 317401364992 333040955072 337238950304 358316384698 380392749632 380618234368 434734571008 480615989056 517407704576 549275416064 549745686112 555452388736 590168163032 628280784128 666081910144 674477900608 716632769396 760785499264 961231978112 1099491372224 1110904777472 1180336326064 1254107346443 1256561568256 1332163820288 1348955801216 1433265538792 1521570998528 1922463956224 2198982744448 2221809554944 2360672652128 2508214692886 2664327640576 2697911602432 2866531077584 3043141997056 3844927912448 4397965488896 4721345304256 5016429385772 5395823204864 5733062155168 8795930977792 9442690608512 10032858771544 11466124310336 18885381217024 20065717543088 22932248620672 37770762434048 40131435086176 45864497241344 80262870172352 91728994482688 160525740344704 321051480689408 642102961378816
- Sum of all divisors σ(n): 1602493307864064
- Sum of proper divisors (its aliquot sum) s(n): 960390346485248
- 642102961378816 is an abundant number, because the sum of its proper divisors (960390346485248) is greater than itself. Its abundance is 318287385106432
Bases of 642102961378816
- Binary: 100100011111111101001111101110110000010110000000002
- Hexadecimal: 0x247FD3EEC1600
- Base-36: 6BLU10LIPS
Squares and roots of 642102961378816
- 642102961378816 squared (6421029613788162) is 412296213011445271691853561856
- 642102961378816 cubed (6421029613788163) is 264736619339920138070932303687355454504042496
-
The
square root of 642102961378816 is 25339750.6179286621 -
The
cube root of 642102961378816 is 86271.6738419399
Scales and comparisons
How big is 642102961378816?- 642,102,961,378,816 seconds is equal to 20,416,888 years, 6 days, 4 hours, 20 minutes, 16 seconds.
-
To count from 1 to 642,102,961,378,816 would take you about fifty-one million, forty-two thousand, two hundred twenty 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 642102961378816 cubic inches would be around 7189.3 feet tall.
Recreational maths with 642102961378816
- 642102961378816 backwards is 618873169201246
- 642102961378816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 642102961378816's digits is 64
- More coming soon!
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The information we have on file for 642102961378816 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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