106742146351104
106,742,146,351,104 is an even composite number composed of five prime numbers multiplied together.
106742146351104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 106742146351104:
214 × 32 × 11 × 313 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 31 × 31 × 31 × 47 × 47)See below for interesting mathematical facts about the number 106742146351104 from the Numbermatics database.
Names of 106742146351104
- Cardinal: 106742146351104 can be written as One hundred six trillion, seven hundred forty-two billion, one hundred forty-six million, three hundred fifty-one thousand, one hundred four.
Scientific notation
- Scientific notation: 1.06742146351104 × 1014
Factors of 106742146351104
Divisors of 106742146351104
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 47 48 62 64 66 72 88 93 94 96 99 124 128 132 141 144 176 186 188 192 198 248 256 264 279 282 288 341 352 372 376 384 396 423 496 512 517 528 558 564 576 682 704 744 752 768 792 846 961 992 1023 1024 1034 1056 1116 1128 1152 1364 1408 1457 1488 1504 1536 1551 1584 1692 1922 1984 2046 2048 2068 2112 2209 2232 2256 2304 2728 2816 2883 2914 2976 3008 3069 3072 3102 3168 3384 3844 3968 4092 4096 4136 4224 4371 4418 4464 4512 4608 4653 5456 5632 5766 5828 5952 6016 6138 6144 6204 6336 6627 6768 7688 7936 8184 8192 8272 8448 8649 8742 8836 8928 9024 9216 9306 10571 10912 11264 11532 11656 11904 12032 12276 12288 12408 12672 13113 13254 13536 15376 15872 16027 16368 16384 16544 16896 17298 17484 17672 17856 18048 18432 18612 19881 21142 21824 22528 23064 23312 23808 24064 24299 24552 24576 24816 25344 26226 26508 27072 29791 30752 31713 31744 32054 32736 33088 33792 34596 34968 35344 35712 36096 36864 37224 39762 42284 43648 45056 45167 46128 46624 47616 48081 48128 48598 49104 49152 49632 50688 52452 53016 54144 59582 61504 63426 63488 64108 65472 66176 67584 68479 69192 69936 70688 71424 72192 72897 73728 74448 79524 84568 87296 89373 90112 90334 92256 93248 95139 95232 96162 96256 97196 98208 99264 101376 104904 106032 108288 119164 123008 126852 126976 128216 130944 132352 135168 135501 136958 138384 139872 141376 142848 144243 144384 145794 147456 148896 159048 169136 174592 178746 180224 180668 184512 186496 190278 190464 192324 192512 194392 196416 198528 202752 205437 209808 212064 216576 218691 238328 246016 253704 253952 256432 261888 264704 268119 270336 271002 273916 276768 279744 282752 285696 288486 288768 291588 297792 318096 327701 338272 349184 357492 361336 369024 372992 380556 380928 384648 385024 388784 392832 397056 405504 406503 410874 419616 424128 433152 437382 476656 492032 496837 507408 507904 512864 523776 529408 536238 540672 542004 547832 553536 559488 565504 571392 576972 577536 583176 595584 616311 636192 655402 676544 698368 714984 722672 738048 745984 753269 761112 761856 769296 770048 777568 785664 794112 811008 813006 821748 839232 848256 866304 874764 953312 983103 984064 993674 1014816 1025728 1047552 1058816 1072476 1084008 1095664 1107072 1118976 1131008 1142784 1153944 1155072 1166352 1191168 1232622 1272384 1310804 1353088 1396736 1400177 1429968 1445344 1476096 1490511 1491968 1506538 1522224 1523712 1538592 1555136 1571328 1588224 1622016 1626012 1643496 1678464 1696512 1732608 1749528 1906624 1966206 1968128 1987348 2029632 2051456 2095104 2117632 2122849 2144952 2168016 2191328 2214144 2237952 2259807 2262016 2285568 2307888 2310144 2332704 2382336 2465244 2544768 2621608 2706176 2793472 2800354 2859936 2890688 2949309 2952192 2981022 2983936 3013076 3044448 3077184 3110272 3142656 3176448 3252024 3286992 3356928 3393024 3465216 3499056 3813248 3932412 3936256 3974696 4059264 4102912 4190208 4200531 4235264 4245698 4289904 4336032 4382656 4428288 4471533 4475904 4519614 4524032 4571136 4615776 4665408 4764672 4930488 5089536 5243216 5412352 5586944 5600708 5719872 5781376 5898618 5904384 5962044 5967872 6026152 6088896 6154368 6220544 6285312 6352896 6368547 6504048 6573984 6713856 6779421 6786048 6930432 6998112 7626496 7864824 7872512 7949392 8118528 8205824 8380416 8401062 8470528 8491396 8579808 8672064 8765312 8856576 8943066 8951808 9039228 9048064 9231552 9330816 9529344 9860976 10179072 10486432 10824704 11201416 11439744 11562752 11797236 11808768 11924088 11935744 12052304 12177792 12308736 12441088 12570624 12601593 12705792 12737094 13008096 13147968 13427712 13558842 13572096 13996224 15252992 15401947 15729648 15745024 15898784 16237056 16411648 16760832 16802124 16982792 17159616 17344128 17530624 17713152 17886132 17903616 18078456 18096128 18463104 18661632 19058688 19105641 19721952 20358144 20972864 21649408 22402832 22879488 23125504 23351339 23594472 23617536 23848176 23871488 24104608 24355584 24617472 24882176 25141248 25203186 25411584 25474188 26016192 26295936 26855424 27117684 27144192 27992448 30505984 30803894 31459296 31797568 32474112 32823296 33604248 33965584 34319232 34688256 35061248 35426304 35772264 35807232 36156912 36192256 36926208 37323264 38117376 38211282 39443904 40716288 41945728 43298816 44805664 45758976 46205841 46251008 46702678 47188944 47235072 47696352 48209216 48711168 49234944 49764352 50282496 50406372 50948376 52032384 52591872 53710848 54235368 54288384 55984896 61011968 61607788 62918592 63595136 64948224 65646592 65808319 67208496 67931168 68638464 69376512 70054017 70122496 70852608 71544528 71614464 72313824 73852416 74646528 76234752 76422564 78887808 81432576 83891456 86597632 89611328 91517952 92411682 92502016 93405356 94377888 95392704 96418432 97422336 98469888 99528704 100812744 101896752 104064768 105183744 107421696 108470736 108576768 111969792 122023936 123215576 125837184 127190272 129896448 131293184 131616638 134416992 135862336 137276928 138617523 138753024 140108034 140244992 141705216 143089056 144627648 147704832 149293056 152845128 157775616 162865152 167782912 173195264 179222656 183035904 184823364 185004032 186810712 188755776 190785408 192836864 194844672 196939776 197424957 199057408 201625488 203793504 208129536 210162051 210367488 214843392 216941472 223939584 244047872 246431152 251674368 254380544 259792896 262586368 263233276 268833984 271724672 274553856 277235046 277506048 280216068 280489984 286178112 289255296 295409664 298586112 305690256 315551232 325730304 335565824 358445312 366071808 369646728 370008064 373621424 377511552 381570816 385673728 389689344 393879552 394849914 398114816 403250976 407587008 416259072 420324102 420734976 433882944 447879168 488095744 492862304 503348736 508761088 519585792 526466552 537667968 543449344 549107712 554470092 555012096 560432136 560979968 572356224 578510592 590819328 592274871 597172224 611380512 631102464 671131648 716890624 723891509 732143616 739293456 740016128 747242848 755023104 763141632 771347456 779378688 787759104 789699828 806501952 815174016 832518144 840648204 841469952 867765888 895758336 985724608 1006697472 1017522176 1052933104 1075335936 1086898688 1098215424 1108940184 1110024192 1120864272 1121959936 1144712448 1157021184 1181638656 1184549742 1194344448 1222761024 1262204928 1342263296 1433781248 1447783018 1464287232 1478586912 1494485696 1510046208 1526283264 1542694912 1558757376 1579399656 1613003904 1630348032 1665036288 1681296408 1682939904 1735531776 1791516672 1971449216 2013394944 2035044352 2105866208 2150671872 2171674527 2173797376 2196430848 2217880368 2220048384 2241728544 2289424896 2314042368 2363277312 2369099484 2445522048 2524409856 2684526592 2867562496 2895566036 2957173824 2988971392 3020092416 3052566528 3085389824 3158799312 3226007808 3260696064 3330072576 3362592816 3365879808 3471063552 3583033344 3942898432 4026789888 4070088704 4211732416 4301343744 4343349054 4347594752 4392861696 4435760736 4483457088 4578849792 4628084736 4738198968 4891044096 5048819712 5369053184 5735124992 5791132072 5914347648 5977942784 6040184832 6105133056 6170779648 6317598624 6452015616 6515023581 6521392128 6660145152 6725185632 6942127104 7885796864 8053579776 8140177408 8423464832 8602687488 8686698108 8695189504 8871521472 8966914176 9157699584 9256169472 9476397936 9782088192 10097639424 11470249984 11582264144 11828695296 11955885568 12080369664 12210266112 12341559296 12635197248 12904031232 13030047162 13042784256 13450371264 13884254208 15771593728 16107159552 16846929664 17205374976 17373396216 17390379008 17743042944 17933828352 18315399168 18512338944 18952795872 19564176384 22940499968 23164528288 23657390592 23911771136 24160739328 24420532224 25270394496 25808062464 26060094324 26085568512 26900742528 27768508416 31543187456 33693859328 34410749952 34746792432 34780758016 35486085888 35867656704 36630798336 37024677888 37905591744 39128352768 46329056576 47314781184 47823542272 48321478656 50540788992 51616124928 52120188648 52171137024 53801485056 55537016832 63086374912 67387718656 68821499904 69493584864 70972171776 71735313408 73261596672 75811183488 78256705536 92658113152 94629562368 95647084544 101081577984 103232249856 104240377296 104342274048 107602970112 111074033664 126172749824 134775437312 138987169728 141944343552 143470626816 151622366976 156513411072 185316226304 189259124736 191294169088 202163155968 206464499712 208480754592 215205940224 252345499648 269550874624 277974339456 283888687104 286941253632 303244733952 313026822144 370632452608 378518249472 382588338176 404326311936 416961509184 430411880448 539101749248 555948678912 567777374208 573882507264 606489467904 741264905216 757036498944 808652623872 833923018368 860823760896 1078203498496 1111897357824 1135554748416 1147765014528 1212978935808 1482529810432 1617305247744 1667846036736 1721647521792 2223794715648 2271109496832 2425957871616 2965059620864 3234610495488 3335692073472 3443295043584 4447589431296 4851915743232 5930119241728 6671384146944 8895178862592 9703831486464 11860238483456 13342768293888 17790357725184 26685536587776 35580715450368 53371073175552 106742146351104
- Sum of all divisors σ(n): 355154963794176
- Sum of proper divisors (its aliquot sum) s(n): 248412817443072
- 106742146351104 is an abundant number, because the sum of its proper divisors (248412817443072) is greater than itself. Its abundance is 141670671091968
Bases of 106742146351104
- Binary: 110000100010100110101111011011101000000000000002
- Hexadecimal: 0x6114D7B74000
- Base-36: 11U4NXXQ80
Squares and roots of 106742146351104
- 106742146351104 squared (1067421463511042) is 11393885807640504981642018816
- 106742146351104 cubed (1067421463511043) is 1216207826386929580869971553266658510372864
-
The
square root of 106742146351104 is 10331609.0881867961 -
The
cube root of 106742146351104 is 47436.4278050023
Scales and comparisons
How big is 106742146351104?- 106,742,146,351,104 seconds is equal to 3,394,070 years, 4 weeks, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 106,742,146,351,104 would take you about eight million, four hundred eighty-five thousand, one hundred seventy-five 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 106742146351104 cubic inches would be around 3953 feet tall.
Recreational maths with 106742146351104
- 106742146351104 backwards is 401153641247601
- The number of decimal digits it has is: 15
- The sum of 106742146351104's digits is 45
- More coming soon!
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The information we have on file for 106742146351104 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 106742146351104, math, Factors of 106742146351104, curriculum, school, college, exams, university, Prime factorization of 106742146351104, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, seven hundred forty-two billion, one hundred forty-six million, three hundred fifty-one thousand, one hundred four.