12138348281856000
12,138,348,281,856,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12138348281856000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
12138348281856000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 12138348281856000:
223 × 3 × 53 × 17 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 61 × 61 × 61)See below for interesting mathematical facts about the number 12138348281856000 from the Numbermatics database.
Names of 12138348281856000
- Cardinal: 12138348281856000 can be written as Twelve quadrillion, one hundred thirty-eight trillion, three hundred forty-eight billion, two hundred eighty-one million, eight hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.2138348281856 × 1016
Factors of 12138348281856000
Divisors of 12138348281856000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 61 64 68 75 80 85 96 100 102 120 122 125 128 136 150 160 170 183 192 200 204 240 244 250 255 256 272 300 305 320 340 366 375 384 400 408 425 480 488 500 510 512 544 600 610 640 680 732 750 768 800 816 850 915 960 976 1000 1020 1024 1037 1088 1200 1220 1275 1280 1360 1464 1500 1525 1536 1600 1632 1700 1830 1920 1952 2000 2040 2048 2074 2125 2176 2400 2440 2550 2560 2720 2928 3000 3050 3072 3111 3200 3264 3400 3660 3721 3840 3904 4000 4080 4096 4148 4250 4352 4575 4800 4880 5100 5120 5185 5440 5856 6000 6100 6144 6222 6375 6400 6528 6800 7320 7442 7625 7680 7808 8000 8160 8192 8296 8500 8704 9150 9600 9760 10200 10240 10370 10880 11163 11712 12000 12200 12288 12444 12750 12800 13056 13600 14640 14884 15250 15360 15555 15616 16000 16320 16384 16592 17000 17408 18300 18605 19200 19520 20400 20480 20740 21760 22326 22875 23424 24000 24400 24576 24888 25500 25600 25925 26112 27200 29280 29768 30500 30720 31110 31232 32000 32640 32768 33184 34000 34816 36600 37210 38400 39040 40800 40960 41480 43520 44652 45750 46848 48000 48800 49152 49776 51000 51200 51850 52224 54400 55815 58560 59536 61000 61440 62220 62464 63257 64000 65280 65536 66368 68000 69632 73200 74420 76800 77775 78080 81600 81920 82960 87040 89304 91500 93025 93696 96000 97600 98304 99552 102000 102400 103700 104448 108800 111630 117120 119072 122000 122880 124440 124928 126514 128000 129625 130560 131072 132736 136000 139264 146400 148840 153600 155550 156160 163200 163840 165920 174080 178608 183000 186050 187392 189771 192000 195200 196608 199104 204000 204800 207400 208896 217600 223260 226981 234240 238144 244000 245760 248880 249856 253028 256000 259250 261120 262144 265472 272000 278528 279075 292800 297680 307200 311100 312320 316285 326400 327680 331840 348160 357216 366000 372100 374784 379542 384000 388875 390400 393216 398208 408000 409600 414800 417792 435200 446520 453962 465125 468480 476288 488000 491520 497760 499712 506056 512000 518500 522240 524288 530944 544000 557056 558150 585600 595360 614400 622200 624640 632570 652800 655360 663680 680943 696320 714432 732000 744200 749568 759084 768000 777750 780800 786432 796416 816000 819200 829600 835584 870400 893040 907924 930250 936960 948855 952576 976000 983040 995520 999424 1012112 1024000 1037000 1044480 1048576 1061888 1088000 1114112 1116300 1134905 1171200 1190720 1228800 1244400 1249280 1265140 1305600 1310720 1327360 1361886 1392640 1395375 1428864 1464000 1488400 1499136 1518168 1536000 1555500 1561600 1572864 1581425 1592832 1632000 1638400 1659200 1671168 1740800 1786080 1815848 1860500 1873920 1897710 1905152 1952000 1966080 1991040 1998848 2024224 2048000 2074000 2088960 2097152 2123776 2176000 2228224 2232600 2269810 2342400 2381440 2457600 2488800 2498560 2530280 2611200 2621440 2654720 2723772 2785280 2790750 2857728 2928000 2976800 2998272 3036336 3072000 3111000 3123200 3145728 3162850 3185664 3264000 3276800 3318400 3342336 3404715 3481600 3572160 3631696 3721000 3747840 3795420 3810304 3858677 3904000 3932160 3982080 3997696 4048448 4096000 4148000 4177920 4194304 4247552 4352000 4456448 4465200 4539620 4684800 4744275 4762880 4915200 4977600 4997120 5060560 5222400 5242880 5309440 5447544 5570560 5581500 5674525 5715456 5856000 5953600 5996544 6072672 6144000 6222000 6246400 6291456 6325700 6371328 6528000 6553600 6636800 6684672 6809430 6963200 7144320 7263392 7442000 7495680 7590840 7620608 7717354 7808000 7864320 7907125 7964160 7995392 8096896 8192000 8296000 8355840 8388608 8495104 8704000 8912896 8930400 9079240 9369600 9488550 9525760 9830400 9955200 9994240 10121120 10444800 10485760 10618880 10895088 11141120 11163000 11349050 11430912 11576031 11712000 11907200 11993088 12145344 12288000 12444000 12492800 12582912 12651400 12742656 13056000 13107200 13273600 13369344 13618860 13926400 14288640 14526784 14884000 14991360 15181680 15241216 15434708 15616000 15728640 15814250 15928320 15990784 16193792 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135921664000 139457126400 146315673600 148173196800 148754268160 155460403200 156070051840 158051409920 163105996800 165824430080 174321408000 178505121792 182894592000 185216496000 185942835200 189661691904 191889408000 194325504000 195087564800 197564262400 198989316096 203882496000 207280537600 217474662400 223131402240 232428544000 234105077760 237077114880 238006829056 243859456000 246955328000 248736645120 252882255872 259100672000 265319088128 271843328000 278914252800 292631347200 296346393600 297508536320 310920806400 316102819840 326211993600 331648860160 348642816000 357010243584 365789184000 370432992000 371885670400 379323383808 388651008000 390175129600 395128524800 397978632192 407764992000 414561075200 446262804480 464857088000 468210155520 474154229760 476013658112 487718912000 493910656000 497473290240 505764511744 518201344000 530638176256 543686656000 557828505600 585262694400 592692787200 595017072640 621841612800 632205639680 652423987200 663297720320 697285632000 714020487168 731578368000 740865984000 743771340800 758646767616 777302016000 780350259200 790257049600 795957264384 815529984000 829122150400 892525608960 929714176000 948308459520 952027316224 975437824000 987821312000 994946580480 1011529023488 1036402688000 1087373312000 1115657011200 1170525388800 1185385574400 1190034145280 1243683225600 1264411279360 1326595440640 1394571264000 1428040974336 1463156736000 1481731968000 1487542681600 1517293535232 1554604032000 1580514099200 1591914528768 1631059968000 1658244300800 1785051217920 1859428352000 1896616919040 1904054632448 1950875648000 1975642624000 1989893160960 2023058046976 2072805376000 2231314022400 2341050777600 2370771148800 2380068290560 2487366451200 2528822558720 2653190881280 2789142528000 2856081948672 2926313472000 2963463936000 2975085363200 3034587070464 3109208064000 3161028198400 3262119936000 3316488601600 3570102435840 3718856704000 3793233838080 3901751296000 3951285248000 3979786321920 4046116093952 4145610752000 4462628044800 4741542297600 4760136581120 4974732902400 5057645117440 5578285056000 5712163897344 5852626944000 5926927872000 5950170726400 6069174140928 6218416128000 6322056396800 6632977203200 7140204871680 7437713408000 7586467676160 7902570496000 7959572643840 8092232187904 8291221504000 8925256089600 9483084595200 9520273162240 9949465804800 10115290234880 11156570112000 11705253888000 11853855744000 11900341452800 12138348281856 12436832256000 12644112793600 13265954406400 14280409743360 14875426816000 15172935352320 15805140992000 16184464375808 16582443008000 17850512179200 18966169190400 19898931609600 20230580469760 22313140224000 23707711488000 23800682905600 24276696563712 24873664512000 25288225587200 28560819486720 29750853632000 30345870704640 31610281984000 32368928751616 33164886016000 35701024358400 37932338380800 39797863219200 40461160939520 44626280448000 47415422976000 47601365811200 48553393127424 49747329024000 50576451174400 59501707264000 60691741409280 63220563968000 66329772032000 71402048716800 75864676761600 80922321879040 89252560896000 94830845952000 97106786254848 99494658048000 101152902348800 119003414528000 121383482818560 126441127936000 142804097433600 151729353523200 161844643758080 178505121792000 189661691904000 198989316096000 202305804697600 238006829056000 242766965637120 252882255872000 303458707046400 357010243584000 379323383808000 404611609395200 485533931274240 505764511744000 606917414092800 714020487168000 758646767616000 809223218790400 1011529023488000 1213834828185600 1517293535232000 2023058046976000 2427669656371200 3034587070464000 4046116093952000 6069174140928000 12138348281856000
- Sum of all divisors σ(n): 43485555585064320
- Sum of proper divisors (its aliquot sum) s(n): 31347207303208320
- 12138348281856000 is an abundant number, because the sum of its proper divisors (31347207303208320) is greater than itself. Its abundance is 19208859021352320
Bases of 12138348281856000
- Binary: 1010110001111111000011011100011000000000000000000000002
- Hexadecimal: 0x2B1FC371800000
- Base-36: 3BIOO7W5GQO
Squares and roots of 12138348281856000
- 12138348281856000 squared (121383482818560002) is 147339499011636507218804736000000
- 12138348281856000 cubed (121383482818560003) is 1788458154677421807550183408279555670016000000000
-
The
square root of 12138348281856000 is 110174172.4809222245 -
The
cube root of 12138348281856000 is 229819.3179711255
Scales and comparisons
How big is 12138348281856000?- 12,138,348,281,856,000 seconds is equal to 385,961,928 years, 51 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 12,138,348,281,856,000 would take you about one billion, one hundred fifty-seven million, eight hundred eighty-five thousand, seven hundred eighty-six 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 12138348281856000 cubic inches would be around 19151.6 feet tall.
Recreational maths with 12138348281856000
- 12138348281856000 backwards is 00065818284383121
- 12138348281856000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12138348281856000's digits is 60
- More coming soon!
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The information we have on file for 12138348281856000 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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