106642505978724960
106,642,505,978,724,960 is an even composite number composed of seven prime numbers multiplied together.
106642505978724960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106642505978724960:
25 × 33 × 5 × 101 × 269 × 5953 × 152629
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 101 × 269 × 5953 × 152629)See below for interesting mathematical facts about the number 106642505978724960 from the Numbermatics database.
Names of 106642505978724960
- Cardinal: 106642505978724960 can be written as One hundred six quadrillion, six hundred forty-two trillion, five hundred five billion, nine hundred seventy-eight million, seven hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0664250597872496 × 1017
Factors of 106642505978724960
Divisors of 106642505978724960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 101 108 120 135 144 160 180 202 216 240 269 270 288 303 360 404 432 480 505 538 540 606 720 807 808 864 909 1010 1076 1080 1212 1345 1440 1515 1614 1616 1818 2020 2152 2160 2421 2424 2690 2727 3030 3228 3232 3636 4035 4040 4304 4320 4545 4842 4848 5380 5454 5953 6060 6456 7263 7272 8070 8080 8608 9090 9684 9696 10760 10908 11906 12105 12120 12912 13635 14526 14544 16140 16160 17859 18180 19368 21520 21816 23812 24210 24240 25824 27169 27270 29052 29088 29765 32280 35718 36315 36360 38736 43040 43632 47624 48420 48480 53577 54338 54540 58104 59530 64560 71436 72630 72720 77472 81507 87264 89295 95248 96840 107154 108676 109080 116208 119060 129120 135845 142872 145260 145440 152629 160731 163014 178590 190496 193680 214308 217352 218160 232416 238120 244521 267885 271690 285744 290520 305258 321462 326028 357180 387360 407535 428616 434704 436320 457887 476240 489042 535770 543380 571488 581040 601253 610516 642924 652056 714360 733563 763145 803655 815070 857232 869408 915774 952480 978084 1071540 1086760 1162080 1202506 1221032 1222605 1285848 1304112 1373661 1428720 1467126 1526290 1601357 1607310 1630140 1714464 1803759 1831548 1956168 2143080 2173520 2289435 2405012 2442064 2445210 2571696 2608224 2747322 2857440 2934252 3006265 3052580 3202714 3214620 3260280 3607518 3663096 3667815 3912336 4120983 4286160 4347040 4578870 4804071 4810024 4884128 4890420 5143392 5411277 5494644 5868504 6012530 6105160 6405428 6429240 6520560 6868305 7215036 7326192 7335630 7824672 8006785 8241966 8572320 9018795 9157740 9608142 9620048 9780840 10822554 10989288 11737008 12025060 12210320 12810856 12858480 13041120 13736610 14412213 14430072 14652384 14671260 15415529 16013570 16233831 16483932 18037590 18315480 19216284 19240096 19561680 20604915 21645108 21978576 23474016 24020355 24050120 24420640 25621712 25716960 27056385 27473220 28824426 28860144 29342520 30831058 32027140 32467662 32967864 36075180 36630960 38432568 39123360 41057201 41209830 43236639 43290216 43957152 46246587 48040710 48100240 51243424 54112770 54946440 57648852 57720288 58685040 61662116 64054280 64935324 65935728 72061065 72150360 73261920 76865136 77077645 81169155 82114402 82419660 86473278 86580432 92493174 96081420 96200480 108225540 109892880 115297704 117370080 123171603 123324232 128108560 129870648 131871456 138739761 144122130 144300720 153730272 154155290 161737057 162338310 164228804 164839320 172946556 173160864 184986348 192162840 205286005 216183195 216451080 219785760 230595408 231232935 246343206 246648464 256217120 259741296 277479522 288244260 288601440 308310580 323474114 324676620 328457608 329678640 345893112 369514809 369972696 384325680 410572010 416219283 432366390 432902160 461190816 462465870 485211171 492686412 493296928 519482592 554959044 576488520 615858015 616621160 646948228 649353240 656915216 659357280 691786224 693698805 739029618 739945392 768651360 808685285 821144020 832438566 864732780 865804320 908600437 924931740 970422342 985372824 1108544427 1109918088 1152977040 1231716030 1233242320 1293896456 1298706480 1313830432 1383572448 1387397610 1455633513 1478059236 1479890784 1617370570 1642288040 1664877132 1729465560 1817200874 1847574045 1849863480 1940844684 1970745648 2081096415 2217088854 2219836176 2305954080 2426055855 2463432060 2466484640 2587792912 2597412960 2725801311 2774795220 2911267026 2956118472 3234741140 3284576080 3329754264 3458931120 3634401748 3695148090 3699726960 3881689368 3941491296 4146777301 4162192830 4366900539 4434177708 4439672352 4543002185 4852111710 4926864120 5175585824 5451602622 5542722135 5549590440 5822534052 5912236944 6469482280 6569152160 6659508528 6917862240 7268803496 7278167565 7390296180 7399453920 7763378736 8177403933 8293554602 8324385660 8733801078 8868355416 9086004370 9704223420 9853728240 10903205244 11085444270 11099180880 11645068104 11824473888 12440331903 12938964560 13319017056 13629006555 14537606992 14556335130 14780592360 15526757472 16354807866 16587109204 16648771320 17467602156 17736710832 18172008740 19408446840 19707456480 20733886505 21806410488 21834502695 22170888540 22198361760 23290136208 24532211799 24880663806 25877929120 27258013110 29075213984 29112670260 29561184720 32709615732 33174218408 33297542640 34935204312 35473421664 36344017480 37320995709 38816893680 40887019665 41467773010 43612820976 43669005390 44341777080 46580272416 49064423598 49761327612 54516026220 58225340520 59122369440 62201659515 65419231464 66348436816 66595085280 69870408624 72688034960 74641991418 77633787360 81774039330 82935546020 87225641952 87338010780 88683554160 91768644137 98128847196 99522655224 109032052440 111962987127 116450681040 122661058995 124403319030 130838462928 132696873632 139740817248 145376069920 149283982836 163548078660 165871092040 174676021560 177367108320 183537288274 186604978545 196257694392 199045310448 218064104880 223925974254 232901362080 244413517553 245322117990 248806638060 261676925856 275305932411 298567965672 327096157320 331742184080 349352043120 367074576548 373209957090 392515388784 398090620896 436128209760 447851948508 458843220685 488827035106 490644235980 497613276120 550611864822 559814935635 597135931344 654192314640 663484368160 698704086240 733240552659 734149153096 746419914180 785030777568 825917797233 895703897016 917686441370 977654070212 981288471960 995226552240 1101223729644 1119629871270 1194271862688 1222067587765 1308384629280 1376529662055 1466481105318 1468298306192 1492839828360 1651835594466 1791407794032 1835372882740 1955308140424 1962576943920 1990453104480 2199721657977 2202447459288 2239259742540 2444135175530 2477753391699 2753059324110 2932962210636 2936596612384 2985679656720 3303671188932 3582815588064 3666202763295 3670745765480 3910616280848 3925153887840 4129588986165 4399443315954 4404894918576 4478519485080 4888270351060 4955506783398 5506118648220 5865924421272 5971359313440 6599164973931 6607342377864 7332405526590 7341491530960 7821232561696 8259177972330 8798886631908 8809789837152 8957038970160 9776540702120 9911013566796 10998608289885 11012237296440 11731848842544 12388766958495 13198329947862 13214684755728 14664811053180 14682983061920 16518355944660 17597773263816 17914077940320 19553081404240 19822027133592 21997216579770 22024474592880 23463697685088 24685765272853 24777533916990 26396659895724 26429369511456 29329622106360 32995824869655 33036711889320 35195546527632 39106162808480 39644054267184 43994433159540 44048949185760 49371530545706 49555067833980 52793319791448 58659244212720 65991649739310 66073423778640 70391093055264 74057295818559 79288108534368 87988866319080 98743061091412 99110135667960 105586639582896 117318488425440 123428826364265 131983299478620 132146847557280 148114591637118 175977732638160 197486122182824 198220271335920 211173279165792 222171887455677 246857652728530 263966598957240 296229183274236 351955465276320 370286479092795 394972244365648 396440542671840 444343774911354 493715305457060 527933197914480 592458366548472 666515662367031 740572958185590 789944488731296 888687549822708 987430610914120 1055866395828960 1110859437278385 1184916733096944 1333031324734062 1481145916371180 1777375099645416 1974861221828240 2221718874556770 2369833466193888 2666062649468124 2962291832742360 3332578311835155 3554750199290832 3949722443656480 4443437749113540 5332125298936248 5924583665484720 6665156623670310 7109500398581664 8886875498227080 10664250597872496 11849167330969440 13330313247340620 17773750996454160 21328501195744992 26660626494681240 35547501992908320 53321252989362480 106642505978724960
- Sum of all divisors σ(n): 378411617971296000
- Sum of proper divisors (its aliquot sum) s(n): 271769111992571040
- 106642505978724960 is an abundant number, because the sum of its proper divisors (271769111992571040) is greater than itself. Its abundance is 165126606013846080
Bases of 106642505978724960
- Binary: 1011110101101111011001011010011101101000111000010011000002
- Hexadecimal: 0x17ADECB4ED1C260
- Base-36: T61M2X3TNC0
Squares and roots of 106642505978724960
- 106642505978724960 squared (1066425059787249602) is 11372624081422388838752147327001600
- 106642505978724960 cubed (1066425059787249603) is 1212805131596878558033734324392646605541747879936000
-
The
square root of 106642505978724960 is 326561641.9280209341 -
The
cube root of 106642505978724960 is 474216.6308160019
Scales and comparisons
How big is 106642505978724960?- 106,642,505,978,724,960 seconds is equal to 3,390,901,823 years, 10 weeks, 15 hours, 36 minutes.
-
To count from 1 to 106,642,505,978,724,960 would take you about ten billion, one hundred seventy-two million, seven hundred five thousand, four hundred sixty-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 106642505978724960 cubic inches would be around 39518.1 feet tall.
Recreational maths with 106642505978724960
- 106642505978724960 backwards is 069427879505246601
- The number of decimal digits it has is: 18
- The sum of 106642505978724960's digits is 81
- More coming soon!
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The information we have on file for 106642505978724960 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 106642505978724960, math, Factors of 106642505978724960, curriculum, school, college, exams, university, Prime factorization of 106642505978724960, STEM, science, technology, engineering, physics, economics, calculator, one hundred six quadrillion, six hundred forty-two trillion, five hundred five billion, nine hundred seventy-eight million, seven hundred twenty-four thousand, nine hundred sixty.