106742245147401864
106,742,245,147,401,864 is an even composite number composed of eight prime numbers multiplied together.
106742245147401864 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106742245147401864:
23 × 3 × 7 × 112 × 13 × 17 × 45319 × 524287
(2 × 2 × 2 × 3 × 7 × 11 × 11 × 13 × 17 × 45319 × 524287)See below for interesting mathematical facts about the number 106742245147401864 from the Numbermatics database.
Names of 106742245147401864
- Cardinal: 106742245147401864 can be written as One hundred six quadrillion, seven hundred forty-two trillion, two hundred forty-five billion, one hundred forty-seven million, four hundred one thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.06742245147401864 × 1017
Factors of 106742245147401864
Divisors of 106742245147401864
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 17 21 22 24 26 28 33 34 39 42 44 51 52 56 66 68 77 78 84 88 91 102 104 119 121 132 136 143 154 156 168 182 187 204 221 231 238 242 264 273 286 308 312 357 363 364 374 408 429 442 462 476 484 546 561 572 616 663 714 726 728 748 847 858 884 924 952 968 1001 1092 1122 1144 1309 1326 1428 1452 1496 1547 1573 1694 1716 1768 1848 2002 2057 2184 2244 2431 2541 2618 2652 2856 2904 3003 3094 3146 3388 3432 3927 4004 4114 4488 4641 4719 4862 5082 5236 5304 6006 6171 6188 6292 6776 7293 7854 8008 8228 9282 9438 9724 10164 10472 11011 12012 12342 12376 12584 14399 14586 15708 16456 17017 18564 18876 19448 20328 22022 24024 24684 26741 28798 29172 31416 33033 34034 37128 37752 43197 44044 45319 49368 51051 53482 57596 58344 66066 68068 80223 86394 88088 90638 102102 106964 115192 132132 135957 136136 160446 172788 181276 187187 204204 213928 264264 271914 317233 320892 345576 362552 374374 408408 498509 524287 543828 561561 589147 634466 641784 748748 770423 951699 997018 1048574 1087656 1123122 1178294 1268932 1495527 1497496 1540846 1572861 1767441 1903398 1994036 2097148 2246244 2311269 2356588 2537864 2991054 3081692 3145722 3489563 3534882 3670009 3806796 3988072 4124029 4194296 4492488 4622538 4713176 5392961 5483599 5767157 5982108 6163384 6291444 6480617 6815731 6979126 7069764 7340018 7613592 8248058 8474653 8912879 9245076 10015499 10468689 10785922 10967198 11010027 11534314 11964216 12372087 12582888 12961234 13631462 13958252 14139528 14680036 16178883 16450797 16496116 16949306 17301471 17825758 18490152 19441851 20030998 20447193 20937378 21571844 21934396 22020054 23068628 24744174 25423959 25922468 26738637 27262924 27916504 29360072 30046497 32357766 32901594 32992232 33898612 34602942 35651516 38385193 38883702 40061996 40370099 40894386 41874756 43143688 43868792 44040108 45364319 46137256 47710117 49488348 50847918 51844936 53477274 54525848 59322571 60092994 62390153 63438727 64715532 65803188 67797224 69205884 70108493 71286787 71303032 74973041 76770386 77767404 80123992 80740198 81788772 83749512 88080216 90728638 93221183 95420234 98041669 98976696 101695836 106954548 110170489 115155579 115867427 118645142 120185988 121110297 124780306 126877454 129431064 131606376 136092957 138411768 140216986 142573574 143130351 149946082 153540772 155534808 161480396 163577544 177967713 181457276 186442366 187170459 190316181 190840468 196083338 203391672 210325479 213860361 213909096 220340978 224919123 230311158 231734854 237290284 240371976 242220594 249560612 253754908 272185914 279663549 280433972 285147148 286260702 294125007 299892164 307081544 322960792 330511467 347602281 355935426 362914552 372884732 374340918 380632362 381680936 392166676 420650958 427720722 440681956 444071089 449838246 460622316 463469708 474580568 484441188 499007509 499121224 507509816 524811287 544371828 559327098 560867944 570294296 572521404 588250014 599784328 652548281 661022934 686291683 695204562 711870852 745769464 748681836 761264724 771193423 784333352 811071989 824703451 841301916 855441444 881363912 888142178 899676492 921244632 926939416 968882376 998015018 1049622574 1078458359 1088743656 1118654196 1145042808 1176500028 1211875379 1274541697 1305096562 1322045868 1332213267 1372583366 1390409124 1423741704 1497022527 1497363672 1522529448 1542386846 1574433861 1622143978 1649406902 1682603832 1710882888 1776284356 1799352984 1957644843 1996030036 2058875049 2099245148 2156916718 2237308392 2313580269 2353000056 2423750758 2433215967 2474110353 2549083394 2610193124 2644091736 2664426534 2745166732 2780818248 2994045054 3084773692 3148867722 3235375077 3244287956 3298813804 3552568712 3635626137 3823625091 3915289686 3992060072 4117750098 4198490296 4313833436 4627160538 4847501516 4866431934 4948220706 5098166788 5220386248 5328853068 5490333464 5772924157 5988090108 6169547384 6297735444 6470750154 6488575912 6597627608 7271252274 7549208513 7647250182 7830579372 8235500196 8483127653 8627666872 8921791879 9254321076 9695003032 9732863868 9896441412 10196333576 10657706136 11545848314 11976180216 12595470888 12941500308 14019958667 14542504548 15098417026 15294500364 15661158744 16471000392 16966255306 17318772471 17843583758 18508642152 19465727736 19792882824 22647625539 23091696628 23760162553 25449382959 25883000616 26765375637 28039917334 29085009096 30196834052 30589000728 33932510612 34637544942 35687167516 42059876001 45295251078 46183393256 47520325106 50898765918 53530751274 56079834668 60393668104 67865021224 69275089884 71280487659 71374335032 84119752002 90590502156 95040650212 98139710669 101797531836 107061502548 112159669336 138550179768 142560975318 166321137871 168239504004 181181004312 190081300424 196279421338 203595063672 214123005096 261361788083 285121950636 294419132007 308882113189 332642275742 336479008008 392558842676 403922763401 498963413613 522723576166 570243901272 588838264014 617764226378 665284551484 784085364249 785117685352 807845526802 926646339567 997926827226 1045447152332 1177676528028 1211768290203 1235528452756 1330569102968 1568170728498 1615691053604 1829532516581 1853292679134 1995853654452 2090894304664 2162174792323 2355353056056 2423536580406 2471056905512 2827459343807 2874979668913 3136341456996 3231382107208 3397703245079 3659065033162 3706585358268 3991707308904 4324349584646 4443150397411 4847073160812 5250995924213 5488597549743 5654918687614 5749959337826 6272682913992 6486524376969 6795406490158 7318130066324 7413170716536 8482378031421 8624939006739 8648699169292 8886300794822 9694146321624 10193109735237 10501991848426 10977195099486 11309837375228 11499918675652 12973048753938 13329451192233 13590812980316 14636260132648 15752987772639 16964756062842 17249878013478 17297398338584 17772601589644 20124857682391 20386219470474 21003983696852 21954390198972 22619674750456 22999837351304 23783922715553 25946097507876 26658902384466 27181625960632 31102052781877 31505975545278 33929512125684 34499756026956 35545203179288 36756971469491 37374735695869 40249715364782 40772438940948 42007967393704 43908780397944 47567845431106 48874654371521 51892195015752 53317804768932 57760955166343 60374573047173 62204105563754 63011951090556 67859024251368 68999512053912 71351768146659 73513942938982 74749471391738 80499430729564 81544877881896 93306158345631 95135690862212 97749308743042 106635609537864 110270914408473 112124207087607 115521910332686 120749146094346 124408211127508 126023902181112 142703536293318 146623963114563 147027885877964 149498942783476 160998861459128 173282865499029 186612316691262 190271381724424 195498617486084 220541828816946 224248414175214 231043820665372 241498292188692 248816422255016 261623149871083 285407072586636 293247926229126 294055771755928 298997885566952 342122580600647 346565730998058 373224633382524 390997234972168 404326686164401 441083657633892 448496828350428 462087641330744 482996584377384 523246299742166 570814145173272 586495852458252 635370506829773 684245161201294 693131461996116 746449266765048 784869449613249 808653372328802 882167315267784 896993656700856 1026367741801941 1046492599484332 1172991704916504 1212980058493203 1270741013659546 1368490322402588 1386262923992232 1569738899226498 1617306744657604 1906111520489319 2052735483603882 2092985198968664 2425960116986406 2541482027319092 2736980644805176 3139477798452996 3234613489315208 3812223040978638 4105470967207764 4447593547808411 4851920233972812 5082964054638184 6278955596905992 7624446081957276 8210941934415528 8895187095616822 9703840467945624 13342780643425233 15248892163914552 17790374191233644 26685561286850466 35580748382467288 53371122573700932 106742245147401864
- Sum of all divisors σ(n): 382255055555788800
- Sum of proper divisors (its aliquot sum) s(n): 275512810408386936
- 106742245147401864 is an abundant number, because the sum of its proper divisors (275512810408386936) is greater than itself. Its abundance is 168770565260985072
Bases of 106742245147401864
- Binary: 1011110110011100110000001101001001000100111011110100010002
- Hexadecimal: 0x17B3981A489DE88
- Base-36: T70YUGLNXJC
Squares and roots of 106742245147401864
- 106742245147401864 squared (1067422451474018642) is 11393906899108036782816669510674496
- 106742245147401864 cubed (1067422451474018643) is 1216211203411263458911413286160187423428908607660544
-
The
square root of 106742245147401864 is 326714317.3284603149 -
The
cube root of 106742245147401864 is 474364.4244008999
Scales and comparisons
How big is 106742245147401864?- 106,742,245,147,401,864 seconds is equal to 3,394,073,220 years, 12 weeks, 5 days, 4 minutes, 24 seconds.
-
To count from 1 to 106,742,245,147,401,864 would take you about ten billion, one hundred eighty-two million, two hundred nineteen thousand, six hundred sixty 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 106742245147401864 cubic inches would be around 39530.4 feet tall.
Recreational maths with 106742245147401864
- 106742245147401864 backwards is 468104741542247601
- 106742245147401864 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106742245147401864's digits is 66
- More coming soon!
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The information we have on file for 106742245147401864 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!
Keywords: Divisors of 106742245147401864, math, Factors of 106742245147401864, curriculum, school, college, exams, university, Prime factorization of 106742245147401864, STEM, science, technology, engineering, physics, economics, calculator, one hundred six quadrillion, seven hundred forty-two trillion, two hundred forty-five billion, one hundred forty-seven million, four hundred one thousand, eight hundred sixty-four.