10138671120384000
10,138,671,120,384,000 is an even composite number composed of four prime numbers multiplied together.
10138671120384000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 10138671120384000:
221 × 34 × 53 × 6912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 691 × 691)See below for interesting mathematical facts about the number 10138671120384000 from the Numbermatics database.
Names of 10138671120384000
- Cardinal: 10138671120384000 can be written as Ten quadrillion, one hundred thirty-eight trillion, six hundred seventy-one billion, one hundred twenty million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.0138671120384 × 1016
Factors of 10138671120384000
Divisors of 10138671120384000
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 500 512 540 576 600 640 648 675 691 720 750 768 800 810 864 900 960 1000 1024 1080 1125 1152 1200 1280 1296 1350 1382 1440 1500 1536 1600 1620 1728 1800 1920 2000 2025 2048 2073 2160 2250 2304 2400 2560 2592 2700 2764 2880 3000 3072 3200 3240 3375 3455 3456 3600 3840 4000 4050 4096 4146 4320 4500 4608 4800 5120 5184 5400 5528 5760 6000 6144 6219 6400 6480 6750 6910 6912 7200 7680 8000 8100 8192 8292 8640 9000 9216 9600 10125 10240 10365 10368 10800 11056 11520 12000 12288 12438 12800 12960 13500 13820 13824 14400 15360 16000 16200 16384 16584 17275 17280 18000 18432 18657 19200 20250 20480 20730 20736 21600 22112 23040 24000 24576 24876 25600 25920 27000 27640 27648 28800 30720 31095 32000 32400 32768 33168 34550 34560 36000 36864 37314 38400 40500 40960 41460 41472 43200 44224 46080 48000 49152 49752 51200 51825 51840 54000 55280 55296 55971 57600 61440 62190 64000 64800 65536 66336 69100 69120 72000 73728 74628 76800 81000 81920 82920 82944 86375 86400 88448 92160 93285 96000 98304 99504 102400 103650 103680 108000 110560 110592 111942 115200 122880 124380 128000 129600 131072 132672 138200 138240 144000 147456 149256 153600 155475 162000 163840 165840 165888 172750 172800 176896 184320 186570 192000 196608 199008 204800 207300 207360 216000 221120 221184 223884 230400 245760 248760 256000 259125 259200 262144 265344 276400 276480 279855 288000 294912 298512 307200 310950 324000 327680 331680 331776 345500 345600 353792 368640 373140 384000 393216 398016 409600 414600 414720 432000 442240 442368 447768 460800 466425 477481 491520 497520 512000 518250 518400 524288 530688 552800 552960 559710 576000 589824 597024 614400 621900 648000 655360 663360 663552 691000 691200 707584 737280 746280 768000 777375 786432 796032 819200 829200 829440 864000 884480 884736 895536 921600 932850 954962 983040 995040 1024000 1036500 1036800 1048576 1061376 1105600 1105920 1119420 1152000 1179648 1194048 1228800 1243800 1296000 1310720 1326720 1327104 1382000 1382400 1399275 1415168 1432443 1474560 1492560 1536000 1554750 1572864 1592064 1638400 1658400 1658880 1728000 1768960 1769472 1791072 1843200 1865700 1909924 1966080 1990080 2048000 2073000 2073600 2097152 2122752 2211200 2211840 2238840 2304000 2332125 2359296 2387405 2388096 2457600 2487600 2592000 2621440 2653440 2654208 2764000 2764800 2798550 2830336 2864886 2949120 2985120 3072000 3109500 3145728 3184128 3276800 3316800 3317760 3456000 3537920 3538944 3582144 3686400 3731400 3819848 3932160 3980160 4096000 4146000 4147200 4245504 4297329 4422400 4423680 4477680 4608000 4664250 4718592 4774810 4776192 4915200 4975200 5184000 5242880 5306880 5308416 5528000 5529600 5597100 5660672 5729772 5898240 5970240 6144000 6219000 6291456 6368256 6553600 6633600 6635520 6912000 6996375 7075840 7077888 7162215 7164288 7372800 7462800 7639696 7864320 7960320 8192000 8292000 8294400 8491008 8594658 8844800 8847360 8955360 9216000 9328500 9437184 9549620 9552384 9830400 9950400 10368000 10485760 10613760 10616832 11056000 11059200 11194200 11321344 11459544 11796480 11937025 11940480 12288000 12438000 12736512 12891987 13107200 13267200 13271040 13824000 13992750 14151680 14155776 14324430 14328576 14745600 14925600 15279392 15728640 15920640 16384000 16584000 16588800 16982016 17189316 17689600 17694720 17910720 18432000 18657000 18874368 19099240 19104768 19660800 19900800 20736000 21227520 21233664 21486645 22112000 22118400 22388400 22642688 22919088 23592960 23874050 23880960 24576000 24876000 25473024 25783974 26214400 26534400 26542080 27648000 27985500 28303360 28311552 28648860 28657152 29491200 29851200 30558784 31457280 31841280 32768000 33168000 33177600 33964032 34378632 35379200 35389440 35811075 35821440 36864000 37314000 38198480 38209536 38675961 39321600 39801600 41472000 42455040 42467328 42973290 44224000 44236800 44776800 45285376 45838176 47185920 47748100 47761920 49152000 49752000 50946048 51567948 52428800 53068800 53084160 55296000 55971000 56606720 56623104 57297720 57314304 58982400 59685125 59702400 61117568 63682560 64459935 65536000 66336000 66355200 67928064 68757264 70758400 70778880 71622150 71642880 73728000 74628000 76396960 76419072 77351922 78643200 79603200 82944000 84910080 84934656 85946580 88448000 88473600 89553600 90570752 91676352 94371840 95496200 95523840 98304000 99504000 101892096 103135896 106137600 106168320 107433225 110592000 111942000 113213440 114595440 114628608 117964800 119370250 119404800 122235136 127365120 128919870 131072000 132672000 132710400 135856128 137514528 141516800 141557760 143244300 143285760 147456000 149256000 152793920 152838144 154703844 157286400 159206400 165888000 169820160 169869312 171893160 176896000 176947200 179055375 179107200 181141504 183352704 190992400 191047680 193379805 196608000 199008000 203784192 206271792 212275200 212336640 214866450 221184000 223884000 226426880 229190880 229257216 235929600 238740500 238809600 244470272 254730240 257839740 262144000 265344000 265420800 271712256 275029056 283033600 283115520 286488600 286571520 294912000 298512000 305587840 305676288 309407688 318412800 322299675 331776000 339640320 343786320 353792000 353894400 358110750 358214400 362283008 366705408 381984800 382095360 386759610 393216000 398016000 407568384 412543584 424550400 424673280 429732900 442368000 447768000 452853760 458381760 458514432 471859200 477481000 477619200 488940544 509460480 515679480 530688000 530841600 537166125 543424512 550058112 566067200 572977200 573143040 589824000 597024000 611175680 611352576 618815376 636825600 644599350 663552000 679280640 687572640 707584000 707788800 716221500 716428800 724566016 733410816 763969600 764190720 773519220 786432000 796032000 815136768 825087168 849100800 849346560 859465800 884736000 895536000 905707520 916763520 917028864 954962000 955238400 966899025 977881088 1018920960 1031358960 1061376000 1061683200 1074332250 1086849024 1100116224 1132134400 1145954400 1146286080 1179648000 1194048000 1222351360 1222705152 1237630752 1273651200 1289198700 1327104000 1358561280 1375145280 1415168000 1415577600 1432443000 1432857600 1449132032 1466821632 1527939200 1528381440 1547038440 1592064000 1611498375 1630273536 1650174336 1698201600 1718931600 1769472000 1791072000 1811415040 1833527040 1834057728 1909924000 1910476800 1933798050 1955762176 2037841920 2062717920 2122752000 2123366400 2148664500 2173698048 2200232448 2264268800 2291908800 2292572160 2359296000 2388096000 2444702720 2445410304 2475261504 2547302400 2578397400 2654208000 2717122560 2750290560 2830336000 2864886000 2865715200 2933643264 3055878400 3056762880 3094076880 3184128000 3222996750 3260547072 3300348672 3396403200 3437863200 3538944000 3582144000 3622830080 3667054080 3668115456 3819848000 3820953600 3867596100 3911524352 4075683840 4125435840 4245504000 4246732800 4297329000 4347396096 4400464896 4528537600 4583817600 4585144320 4776192000 4834495125 4889405440 4890820608 4950523008 5094604800 5156794800 5308416000 5434245120 5500581120 5660672000 5729772000 5731430400 5867286528 6111756800 6113525760 6188153760 6368256000 6445993500 6521094144 6600697344 6792806400 6875726400 7077888000 7164288000 7245660160 7334108160 7336230912 7639696000 7641907200 7735192200 7823048704 8151367680 8250871680 8491008000 8594658000 8800929792 9057075200 9167635200 9170288640 9552384000 9668990250 9778810880 9781641216 9901046016 10189209600 10313589600 10616832000 10868490240 11001162240 11321344000 11459544000 11462860800 11734573056 12223513600 12227051520 12376307520 12736512000 12891987000 13042188288 13201394688 13585612800 13751452800 14328576000 14668216320 14672461824 15279392000 15283814400 15470384400 15646097408 16302735360 16501743360 16982016000 17189316000 17601859584 18114150400 18335270400 18340577280 19104768000 19337980500 19557621760 19563282432 19802092032 20378419200 20627179200 21233664000 21736980480 22002324480 22642688000 22919088000 22925721600 23469146112 24447027200 24454103040 24752615040 25473024000 25783974000 26402789376 27171225600 27502905600 28657152000 29336432640 29344923648 30558784000 30567628800 30940768800 31292194816 32605470720 33003486720 33964032000 34378632000 35203719168 36228300800 36670540800 36681154560 38209536000 38675961000 39115243520 39126564864 39604184064 40756838400 41254358400 44004648960 45285376000 45838176000 45851443200 46938292224 48894054400 48908206080 49505230080 50946048000 51567948000 52805578752 54342451200 55005811200 57314304000 58672865280 58689847296 61117568000 61135257600 61881537600 62584389632 65210941440 66006973440 67928064000 68757264000 70407438336 73341081600 73362309120 76419072000 77351922000 78230487040 79208368128 81513676800 82508716800 88009297920 90570752000 91676352000 91702886400 93876584448 97788108800 97816412160 99010460160 101892096000 103135896000 105611157504 108684902400 110011622400 114628608000 117345730560 117379694592 122235136000 122270515200 123763075200 125168779264 132013946880 135856128000 137514528000 140814876672 146682163200 146724618240 152838144000 154703844000 156460974080 158416736256 163027353600 165017433600 176018595840 181141504000 183352704000 183405772800 187753168896 195576217600 195632824320 198020920320 203784192000 206271792000 211222315008 220023244800 229257216000 234691461120 244470272000 244541030400 247526150400 250337558528 264027893760 271712256000 275029056000 281629753344 293364326400 293449236480 305676288000 309407688000 312921948160 316833472512 326054707200 330034867200 352037191680 366705408000 366811545600 375506337792 391152435200 396041840640 407568384000 412543584000 422444630016 440046489600 458514432000 469382922240 488940544000 489082060800 495052300800 500675117056 528055787520 543424512000 550058112000 563259506688 586728652800 586898472960 611352576000 618815376000 625843896320 633666945024 660069734400 704074383360 733410816000 733623091200 751012675584 782304870400 792083681280 815136768000 825087168000 844889260032 880092979200 917028864000 938765844480 977881088000 978164121600 990104601600 1001350234112 1056111575040 1100116224000 1126519013376 1173457305600 1222705152000 1237630752000 1251687792640 1267333890048 1320139468800 1408148766720 1466821632000 1467246182400 1502025351168 1564609740800 1584167362560 1630273536000 1650174336000 1689778520064 1760185958400 1834057728000 1877531688960 1955762176000 1980209203200 2112223150080 2200232448000 2253038026752 2346914611200 2445410304000 2475261504000 2503375585280 2534667780096 2640278937600 2816297533440 2933643264000 2934492364800 3004050702336 3129219481600 3168334725120 3300348672000 3379557040128 3520371916800 3668115456000 3755063377920 3911524352000 3960418406400 4224446300160 4400464896000 4506076053504 4693829222400 4890820608000 4950523008000 5006751170560 5069335560192 5280557875200 5632595066880 5867286528000 6258438963200 6336669450240 6600697344000 6759114080256 7040743833600 7336230912000 7510126755840 7823048704000 7920836812800 8448892600320 8800929792000 9012152107008 9387658444800 9901046016000 10138671120384 10561115750400 11265190133760 11734573056000 12516877926400 12673338900480 13201394688000 13518228160512 14081487667200 14672461824000 15020253511680 15646097408000 15841673625600 16897785200640 17601859584000 18775316889600 19802092032000 20277342240768 21122231500800 22530380267520 23469146112000 25033755852800 25346677800960 26402789376000 27036456321024 28162975334400 31292194816000 31683347251200 33795570401280 35203719168000 37550633779200 39604184064000 40554684481536 42244463001600 45060760535040 46938292224000 50693355601920 52805578752000 56325950668800 62584389632000 63366694502400 67591140802560 70407438336000 75101267558400 79208368128000 81109368963072 84488926003200 93876584448000 101386711203840 105611157504000 112651901337600 125168779264000 126733389004800 135182281605120 140814876672000 158416736256000 168977852006400 187753168896000 202773422407680 211222315008000 225303802675200 253466778009600 281629753344000 316833472512000 337955704012800 375506337792000 405546844815360 422444630016000 506933556019200 563259506688000 633666945024000 675911408025600 844889260032000 1013867112038400 1126519013376000 1267333890048000 1689778520064000 2027734224076800 2534667780096000 3379557040128000 5069335560192000 10138671120384000
- Sum of all divisors σ(n): 37857751816357044
- Sum of proper divisors (its aliquot sum) s(n): 27719080695973044
- 10138671120384000 is an abundant number, because the sum of its proper divisors (27719080695973044) is greater than itself. Its abundance is 17580409575589044
Bases of 10138671120384000
- Binary: 1001000000010100010001010100101010000000000000000000002
- Hexadecimal: 0x24051152A00000
- Base-36: 2RTUX7OCG00
Squares and roots of 10138671120384000
- 10138671120384000 squared (101386711203840002) is 102792652087308553820307456000000
- 10138671120384000 cubed (101386711203840003) is 1042180893105275331548443358334868783104000000000
-
The
square root of 10138671120384000 is 100690968.4151662135 -
The
cube root of 10138671120384000 is 216434.7604838211
Scales and comparisons
How big is 10138671120384000?- 10,138,671,120,384,000 seconds is equal to 322,378,380 years, 34 weeks, 2 days.
-
To count from 1 to 10,138,671,120,384,000 would take you about nine hundred sixty-seven million, one hundred thirty-five thousand, one hundred forty-one 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 10138671120384000 cubic inches would be around 18036.2 feet tall.
Recreational maths with 10138671120384000
- 10138671120384000 backwards is 00048302117683101
- 10138671120384000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10138671120384000's digits is 45
- More coming soon!
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The information we have on file for 10138671120384000 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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