9968438505144000
9,968,438,505,144,000 is an even composite number composed of eight prime numbers multiplied together.
9968438505144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 9968438505144000:
26 × 3 × 53 × 7 × 31 × 941 × 1093 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 31 × 941 × 1093 × 1861)See below for interesting mathematical facts about the number 9968438505144000 from the Numbermatics database.
Names of 9968438505144000
- Cardinal: 9968438505144000 can be written as Nine quadrillion, nine hundred sixty-eight trillion, four hundred thirty-eight billion, five hundred five million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.968438505144 × 1015
Factors of 9968438505144000
Divisors of 9968438505144000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 125 140 150 155 160 168 175 186 192 200 210 217 224 240 248 250 280 300 310 320 336 350 372 375 400 420 434 448 465 480 496 500 525 560 600 620 651 672 700 744 750 775 800 840 868 875 930 941 960 992 1000 1050 1085 1093 1120 1200 1240 1302 1344 1400 1488 1500 1550 1600 1680 1736 1750 1860 1861 1882 1984 2000 2100 2170 2186 2240 2325 2400 2480 2604 2625 2800 2823 2976 3000 3100 3255 3279 3360 3472 3500 3720 3722 3764 3875 4000 4200 4340 4372 4650 4705 4800 4960 5208 5250 5425 5465 5583 5600 5646 5952 6000 6200 6510 6558 6587 6720 6944 7000 7440 7444 7528 7651 7750 8000 8400 8680 8744 9300 9305 9410 9920 10416 10500 10850 10930 11166 11200 11292 11625 12000 12400 13020 13027 13116 13174 13888 14000 14115 14880 14888 15056 15302 15500 16275 16395 16800 17360 17488 18600 18610 18820 19761 20832 21000 21700 21860 22332 22584 22953 23250 23525 24000 24800 26040 26054 26232 26348 27125 27325 27915 28000 28230 29171 29760 29776 30112 30604 31000 32550 32790 32935 33600 33883 34720 34976 37200 37220 37640 38255 39081 39522 41664 42000 43400 43720 44664 45168 45906 46500 46525 47050 49600 52080 52108 52464 52696 54250 54650 55830 56000 56460 57691 58342 59552 60224 61208 62000 65100 65135 65580 65870 67766 69440 69952 70575 74400 74440 75280 76510 78162 79044 81375 81975 84000 86800 87440 87513 89328 90336 91812 93000 93050 94100 98805 101649 104160 104216 104928 105392 108500 109300 111660 112920 114765 115382 116684 117625 119104 122416 124000 130200 130270 131160 131740 135532 136625 139575 141150 145855 148800 148880 150560 153020 156324 158088 162750 163950 164675 168000 169415 173073 173600 174880 175026 178656 180672 183624 186000 186100 188200 191275 195405 197610 203298 204197 208320 208432 209856 210784 217000 218600 223320 225840 229530 230764 232625 233368 235250 237181 244832 248000 260400 260540 262320 263480 271064 273250 279150 282300 288455 291710 297760 301120 306040 312648 316176 325500 325675 327900 329350 338830 346146 347200 349760 350052 352875 357312 367248 372000 372200 376400 382550 390810 395220 403837 406596 408394 409875 416864 421568 434000 437200 437565 446640 451680 459060 461528 465250 466736 470500 474362 489664 494025 508245 520800 521080 524640 526960 542128 546500 558300 564600 573825 576910 583420 595520 612080 612591 625296 632352 651000 651350 655800 658700 677660 692292 697875 700104 705750 711543 729275 734496 744000 744400 752800 765100 781620 790440 807674 813192 816788 819750 823375 833728 847075 865365 868000 874400 875130 893280 903360 918120 923056 930500 933472 941000 948724 956375 977025 988050 1016490 1020985 1028513 1041600 1042160 1049280 1053920 1084256 1093000 1116600 1129200 1147650 1153820 1166840 1185905 1211511 1224160 1225182 1250592 1264704 1302000 1302700 1311600 1317400 1355320 1384584 1395750 1400208 1411500 1423086 1442275 1458550 1468992 1488800 1505600 1530200 1563240 1580880 1615348 1626384 1628375 1633576 1639500 1646750 1694150 1730730 1736000 1748800 1750260 1751201 1786560 1836240 1846112 1861000 1866944 1882000 1897448 1912750 1954050 1976100 2019185 2032980 2034073 2041970 2057026 2084320 2107840 2168512 2186000 2187825 2233200 2258400 2295300 2307640 2333680 2371810 2423022 2448320 2450364 2470125 2501184 2541225 2604000 2605400 2623200 2634800 2710640 2769168 2791500 2800416 2823000 2846172 2869125 2884550 2917100 2977600 3060400 3062955 3085539 3126480 3161760 3230696 3252768 3256750 3267152 3279000 3293500 3388300 3461460 3500520 3502402 3557715 3646375 3672480 3692224 3722000 3764000 3794896 3825500 3908100 3952200 4038370 4065960 4068146 4083940 4114052 4168640 4235375 4326825 4372000 4375650 4466400 4516800 4590600 4615280 4667360 4743620 4846044 4885125 4900728 4940250 5082450 5104925 5142565 5208000 5210800 5246400 5253603 5269600 5421280 5538336 5583000 5600832 5646000 5692344 5738250 5769100 5834200 5929525 6057555 6102219 6120800 6125910 6171078 6252960 6323520 6461392 6505536 6513500 6534304 6558000 6587000 6776600 6922920 7001040 7004804 7115430 7199591 7211375 7292750 7344960 7444000 7528000 7589792 7651000 7816200 7904400 8076740 8131920 8136292 8167880 8228104 8470750 8653650 8744000 8751300 8756005 8932800 9181200 9230560 9334720 9487240 9692088 9770250 9801456 9880500 10095925 10164900 10170365 10209850 10285130 10421600 10507206 10539200 10842560 10939125 11076672 11166000 11292000 11384688 11476500 11538200 11668400 11859050 12115110 12204438 12241600 12251820 12258407 12342156 12505920 12706125 12922784 13027000 13068608 13116000 13174000 13553200 13845840 14002080 14009608 14230860 14238511 14399182 14422750 14585500 14888000 15179584 15302000 15314775 15427695 15632400 15808800 16153480 16263840 16272584 16335760 16456208 16941500 17307300 17502600 17512010 17788575 18362400 18461120 18974480 19384176 19540500 19602912 19761000 20191850 20329800 20340730 20419700 20570260 20843200 21014412 21598773 21634125 21878250 22332000 22584000 22769376 22953000 23076400 23336800 23718100 24230220 24408876 24503640 24516814 24684312 25412250 25524625 25712825 25845568 26054000 26232000 26268015 26348000 27106400 27691680 28004160 28019216 28461720 28477022 28798364 28845500 29171000 29647625 30287775 30511095 30604000 30629550 30855390 31264800 31617600 31883903 32306960 32527680 32545168 32671520 32912416 33883000 34614600 35005200 35024020 35577150 35997955 36724800 36775221 37948960 38768352 39081000 39205824 39522000 40383700 40659600 40681460 40839400 41140520 42028824 42715533 43197546 43268250 43756500 43780025 44664000 45538752 45906000 46152800 46673600 47436200 48460440 48817752 49007280 49033628 49368624 50479625 50824500 50851825 51049250 51425650 52108000 52536030 52696000 54212800 54287231 55383360 56038432 56923440 56954044 57596728 57691000 58342000 59295250 60575550 61022190 61208000 61259100 61292035 61710780 62529600 63056263 63767806 64613920 65090336 65343040 65824832 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114003185100 114843761580 118671886966 121603397440 122500012352 126112526000 127535612000 130289354400 132418152300 133912392600 133984388510 141246029120 142503981375 143554701975 147100884000 151335031200 152004246800 153042734400 153125015440 160781266212 162861693000 165522690375 167390490750 170862132000 172790184000 176557536400 178007830449 178549856800 182405096160 183750018528 189168789000 190005308500 191303418000 191406269300 200976582765 211869043680 214259828160 214375021616 217148924000 220696920500 223187321000 228006370200 229687523160 237343773932 239257836625 252225052000 255071224000 260578708800 264836304600 267824785200 267968777020 285007962750 287109403950 294201768000 296679717415 302670062400 304008493600 306250030880 321562532424 325723386000 331045380750 334780981500 334960971275 341724264000 353115072800 356015660898 357099713600 364810192320 367500037056 378337578000 380010617000 382606836000 382812538600 401953165530 415351604381 423738087360 428750043232 434297848000 441393841000 446374642000 456012740400 459375046320 474687547864 478515673250 504450104000 529672609200 535649570400 535937554040 570015925500 574218807900 593359434830 608016987200 612500061760 643125064848 651446772000 662090761500 669561963000 669921942550 706230145600 712031321796 717773509875 756675156000 760021234000 765213672000 765625077200 803906331060 830703208762 857500086464 882787682000 890039152245 892749284000 912025480800 918750092640 949375095728 957031346500 1004882913825 1059345218400 1071299140800 1071875108080 1140031851000 1148437615800 1186718869660 1246054813143 1286250129696 1302893544000 1324181523000 1339123926000 1339843885100 1424062643592 1435547019750 1483398587075 1513350312000 1520042468000 1531250154400 1607812662120 1661406417524 1674804856375 1765575364000 1780078304490 1785498568000 1824050961600 1837500185280 1898750191456 1914062693000 2009765827650 2076758021905 2118690436800 2143750216160 2280063702000 2296875231600 2373437739320 2492109626286 2572500259392 2648363046000 2678247852000 2679687770200 2848125287184 2871094039500 2966797174150 3040084936000 3062500308800 3215625324240 3322812835048 3349609712750 3531150728000 3560156608980 3797500382912 3828125386000 4019531655300 4153516043810 4287500432320 4450195761225 4560127404000 4593750463200 4746875478640 4984219252572 5024414569125 5296726092000 5356495704000 5359375540400 5696250574368 5742188079000 5933594348300 6230274065715 6431250648480 6645625670096 6699219425500 7120313217960 7416992935375 7656250772000 8039063310600 8307032087620 8900391522450 9120254808000 9187500926400 9493750957280 9968438505144 10048829138250 10383790109525 10593452184000 10718751080800 11392501148736 11484376158000 11867188696600 12460548131430 12862501296960 13291251340192 13398438851000 14240626435920 14833985870750 15312501544000 16078126621200 16614064175240 17800783044900 18987501914560 19936877010288 20097658276500 20767580219050 21437502161600 22250978806125 22968752316000 23734377393200 24921096262860 26582502680384 26796877702000 28481252871840 29667971741500 31151370328575 32156253242400 33228128350480 35601566089800 39873754020576 40195316553000 41535160438100 44501957612250 45937504632000 47468754786400 49842192525720 51918950547625 53593755404000 56962505743680 59335943483000 62302740657150 64312506484800 66456256700960 71203132179600 79747508041152 80390633106000 83070320876200 89003915224500 94937509572800 99684385051440 103837901095250 107187510808000 118671886966000 124605481314300 132912513401920 142406264359200 155756851642875 160781266212000 166140641752400 178007830449000 199368770102880 207675802190500 237343773932000 249210962628600 284812528718400 311513703285750 321562532424000 332281283504800 356015660898000 398737540205760 415351604381000 474687547864000 498421925257200 623027406571500 664562567009600 712031321796000 830703208762000 996843850514400 1246054813143000 1424062643592000 1661406417524000 1993687701028800 2492109626286000 3322812835048000 4984219252572000 9968438505144000
- Sum of all divisors σ(n): 38929262601535488
- Sum of proper divisors (its aliquot sum) s(n): 28960824096391488
- 9968438505144000 is an abundant number, because the sum of its proper divisors (28960824096391488) is greater than itself. Its abundance is 18992385591247488
Bases of 9968438505144000
- Binary: 1000110110101000111101111101000001000001111110110000002
- Hexadecimal: 0x236A3DF4107EC0
- Base-36: 2Q5ILFGI9XC
Squares and roots of 9968438505144000
- 9968438505144000 squared (99684385051440002) is 99369766230837545314460736000000
- 9968438505144000 cubed (99684385051440003) is 990561403942638951449593340578322025984000000000
-
The
square root of 9968438505144000 is 99842067.8128412967 -
The
cube root of 9968438505144000 is 215216.5728648363
Scales and comparisons
How big is 9968438505144000?- 9,968,438,505,144,000 seconds is equal to 316,965,510 years, 3 weeks, 9 hours, 20 minutes.
-
To count from 1 to 9,968,438,505,144,000 would take you about nine hundred fifty million, eight hundred ninety-six thousand, five hundred thirty 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 9968438505144000 cubic inches would be around 17934.7 feet tall.
Recreational maths with 9968438505144000
- 9968438505144000 backwards is 0004415058348699
- The number of decimal digits it has is: 16
- The sum of 9968438505144000's digits is 66
- More coming soon!
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"Number 9968438505144000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 9968438505144000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/9968438505144000/
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The information we have on file for 9968438505144000 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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