10401242142688320
10,401,242,142,688,320 is an even composite number composed of nine prime numbers multiplied together.
10401242142688320 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 10401242142688320:
26 × 3 × 5 × 7 × 11 × 31 × 307 × 1723 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 31 × 307 × 1723 × 8581)See below for interesting mathematical facts about the number 10401242142688320 from the Numbermatics database.
Names of 10401242142688320
- Cardinal: 10401242142688320 can be written as Ten quadrillion, four hundred one trillion, two hundred forty-two billion, one hundred forty-two million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.040124214268832 × 1016
Factors of 10401242142688320
Divisors of 10401242142688320
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 31 32 33 35 40 42 44 48 55 56 60 62 64 66 70 77 80 84 88 93 96 105 110 112 120 124 132 140 154 155 160 165 168 176 186 192 210 217 220 224 231 240 248 264 280 307 308 310 320 330 336 341 352 372 385 420 434 440 448 462 465 480 496 528 560 614 616 620 651 660 672 682 704 744 770 840 868 880 921 924 930 960 992 1023 1056 1085 1120 1155 1228 1232 1240 1302 1320 1344 1364 1488 1535 1540 1680 1705 1723 1736 1760 1842 1848 1860 1984 2046 2112 2149 2170 2240 2310 2387 2456 2464 2480 2604 2640 2728 2976 3070 3080 3255 3360 3377 3410 3446 3472 3520 3684 3696 3720 4092 4298 4340 4605 4620 4774 4912 4928 4960 5115 5169 5208 5280 5456 5952 6140 6160 6447 6510 6720 6754 6820 6892 6944 7161 7368 7392 7440 8184 8581 8596 8615 8680 9210 9240 9517 9548 9824 9920 10131 10230 10338 10416 10560 10745 10912 11935 12061 12280 12320 12894 13020 13508 13640 13784 13888 14322 14736 14784 14880 16368 16885 17162 17192 17230 17360 18420 18480 18953 19034 19096 19648 20262 20460 20676 20832 21490 21824 23639 23870 24122 24560 24640 25743 25788 25845 26040 27016 27280 27568 28551 28644 29472 29760 32235 32736 33770 34324 34384 34460 34720 35805 36183 36840 36960 37906 38068 38192 40524 40920 41352 41664 42905 42980 47278 47585 47740 48244 49120 50655 51486 51576 51690 52080 53413 54032 54560 55136 56859 57102 57288 58944 60067 60305 64470 65472 66619 67540 68648 68768 68920 69440 70917 71610 72366 73680 73920 75812 76136 76384 81048 81840 82704 85810 85960 94391 94556 94765 95170 95480 96488 98240 101310 102972 103152 103380 104160 104687 106826 108064 109120 110272 113718 114204 114576 118195 120134 120610 128715 128940 132671 133238 135080 137296 137536 137840 141834 142755 143220 144732 147360 151624 152272 152768 160239 162096 163680 165408 171620 171920 180201 180915 188782 189112 189530 190340 190960 192976 199857 202620 205944 206304 206760 208320 209374 213652 216128 227436 228408 229152 236390 240268 241220 257430 257880 265342 266011 266476 267065 270160 274592 275680 283173 283668 284295 285510 286440 289464 294720 300335 303248 304544 314061 320478 324192 327360 330816 333095 343240 343840 354585 360402 361830 373891 377564 378224 379060 380680 381920 385952 398013 399714 405240 411888 412608 413520 418748 427304 454872 456816 458304 471955 472780 480536 482440 514860 515760 523435 528961 530684 532022 532952 534130 540320 549184 551360 566346 567336 568590 571020 572880 578928 587543 600670 606496 609088 628122 640956 648384 660737 663355 666190 686480 687680 709170 720804 723660 732809 747782 755128 756448 758120 761360 763840 771904 796026 798033 799428 801195 810480 823776 827040 837496 854608 901005 909744 913632 943910 945560 961072 964880 999285 1029720 1031520 1046870 1057922 1061368 1064044 1065904 1068260 1080640 1121673 1132692 1134672 1137180 1142040 1145760 1157856 1175086 1201340 1212992 1256244 1281912 1321474 1326710 1330055 1332380 1372960 1415865 1418340 1441608 1447320 1465618 1495564 1510256 1512896 1516240 1522720 1570305 1586883 1592052 1596066 1598856 1602390 1620960 1647552 1654080 1674992 1709216 1762629 1802010 1819488 1827264 1862077 1869455 1887820 1891120 1922144 1929760 1982211 1990065 1998570 2059440 2063040 2093740 2115844 2122736 2128088 2131808 2136520 2198427 2243346 2265384 2269344 2274360 2284080 2291520 2315712 2350172 2402680 2512488 2563824 2634367 2642948 2644805 2653420 2660110 2664760 2745920 2831730 2836680 2883216 2894640 2926121 2931236 2937715 2991128 3020512 3032480 3045440 3140610 3173766 3184104 3192132 3197712 3204780 3241920 3303685 3349984 3418432 3525258 3604020 3638976 3664045 3702727 3724154 3738910 3775640 3782240 3844288 3859520 3964422 3980130 3990165 3997140 4112801 4118880 4187480 4231688 4245472 4256176 4263616 4273040 4396854 4486692 4530768 4538688 4548720 4568160 4700344 4805360 5024976 5127648 5268734 5285896 5289610 5306840 5320220 5329520 5586231 5608365 5663460 5673360 5766432 5789280 5818571 5852242 5862472 5875430 5982256 6041024 6064960 6281220 6347532 6368208 6384264 6395424 6409560 6607370 6699968 7050516 7208040 7328090 7405454 7448308 7477820 7551280 7564480 7903101 7928844 7934415 7960260 7980330 7994280 8225602 8237760 8374960 8463376 8490944 8512352 8546080 8778363 8793708 8813145 8973384 9061536 9097440 9136320 9310385 9400688 9610720 9911055 10049952 10255296 10537468 10571792 10579220 10613680 10640440 10659040 10992135 11108181 11172462 11216730 11326920 11346720 11532864 11578560 11637142 11704484 11724944 11750860 11964512 12338403 12562440 12695064 12736416 12768528 12790848 12819120 13171835 13214740 14101032 14416080 14630605 14656180 14785063 14810908 14896616 14955640 15102560 15806202 15857688 15868830 15920520 15960660 15988560 16397791 16451204 16749920 16926752 17024704 17092160 17455713 17556726 17587416 17626290 17946768 18123072 18194880 18440569 18513635 18620770 18801376 19221440 19822110 20099904 20482847 20564005 21074936 21143584 21158440 21227360 21280880 21318080 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748937366265 754588083480 762554409288 770006081040 798866524016 806673037280 844256667426 847006689144 862386381120 871490753472 953193011610 968007644736 984966111997 998583155020 1006117444640 1016739212384 1026674774720 1048512312771 1058758361430 1089363441840 1092911856960 1125675556568 1129342252192 1198299786024 1207340933568 1210009555920 1212124710720 1270924015480 1398016417028 1407094445710 1411677815240 1452484589120 1497874732530 1509176166960 1525108818576 1540012162080 1547803890281 1597733048032 1613346074560 1688513334852 1694013378288 1747520521285 1906386023220 1969932223994 1997166310040 2012234889280 2033478424768 2097024625542 2110641668565 2117516722860 2178726883680 2251351113136 2258684504384 2396599572048 2420019111840 2541848030960 2796032834056 2814188891420 2823355630480 2954898335991 2995749465060 3018352333920 3050217637152 3080024324160 3095607780562 3195466096064 3377026669704 3388026756576 3495041042570 3812772046440 3939864447988 3994332620080 4194049251084 4221283337130 4235033445720 4357453767360 4502702226272 4643411670843 4793199144096 4840038223680 4924830559985 5083696061920 5242561563855 5592065668112 5628377782840 5646711260960 5909796671982 5991498930120 6036704667840 6100435274304 6191215561124 6754053339408 6776053513152 6990082085140 7625544092880 7739019451405 7879728895976 7988665240160 8388098502168 8442566674260 8470066891440 9005404452544 9286823341686 9586398288192 9849661119970 10167392123840 10485123127710 10834627231967 11184131336224 11256755565680 11293422521920 11819593343964 11982997860240 12382431122248 13508106678816 13980164170280 14774491679955 15251088185760 15478038902810 15759457791952 15977330480320 16776197004336 16885133348520 16940133782880 18573646683372 19699322239940 20970246255420 21669254463934 22368262672448 22513511131360 23217058354215 23639186687928 23965995720480 24764862244496 27016213357632 27960328340560 29548983359910 30502176371520 30956077805620 31518915583904 32503881695901 33552394008672 33770266697040 33880267565760 37147293366744 39398644479880 41940492510840 43338508927868 45027022262720 46434116708430 47278373375856 47931991440960 49529724488992 54173136159835 55920656681120 59097966719820 61912155611240 63037831167808 65007763391802 67104788017344 67540533394080 74294586733488 78797288959760 83880985021680 86677017855736 92868233416860 94556746751712 99059448977984 108346272319670 111841313362240 118195933439640 123824311222480 130015526783604 135081066788160 148589173466976 157594577919520 162519408479505 167761970043360 173354035711472 185736466833720 189113493503424 216692544639340 236391866879280 247648622444960 260031053567208 297178346933952 315189155839040 325038816959010 335523940086720 346708071422944 371472933667440 433385089278680 472783733758560 495297244889920 520062107134416 650077633918020 693416142845888 742945867334880 866770178557360 945567467517120 1040124214268832 1300155267836040 1485891734669760 1733540357114720 2080248428537664 2600310535672080 3467080714229440 5200621071344160 10401242142688320
- Sum of all divisors σ(n): 42669019399716864
- Sum of proper divisors (its aliquot sum) s(n): 32267777257028544
- 10401242142688320 is an abundant number, because the sum of its proper divisors (32267777257028544) is greater than itself. Its abundance is 21866535114340224
Bases of 10401242142688320
- Binary: 1001001111001111011111111001110010001101000100010000002
- Hexadecimal: 0x24F3DFE7234440
- Base-36: 2UEXKOBN51C
Squares and roots of 10401242142688320
- 10401242142688320 squared (104012421426883202) is 108185838110835514146836664422400
- 10401242142688320 cubed (104012421426883203) is 1125267098600478492662764991078529581636026368000
-
The
square root of 10401242142688320 is 101986480.1956039661 -
The
cube root of 10401242142688320 is 218287.2664309471
Scales and comparisons
How big is 10401242142688320?- 10,401,242,142,688,320 seconds is equal to 330,727,326 years, 51 weeks, 20 hours, 32 minutes.
-
To count from 1 to 10,401,242,142,688,320 would take you about nine hundred ninety-two million, one hundred eighty-one thousand, nine hundred eighty 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 10401242142688320 cubic inches would be around 18190.6 feet tall.
Recreational maths with 10401242142688320
- 10401242142688320 backwards is 02388624124210401
- 10401242142688320 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10401242142688320's digits is 48
- More coming soon!
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"Number 10401242142688320 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 10401242142688320 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/10401242142688320/
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Numbermatics. 2024. "Number 10401242142688320 - Facts about the integer". https://numbermatics.com/n/10401242142688320/
The information we have on file for 10401242142688320 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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