148348093870080
148,348,093,870,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 148348093870080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
148348093870080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 148348093870080:
212 × 33 × 5 × 13 × 2712 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 271 × 271 × 281)See below for interesting mathematical facts about the number 148348093870080 from the Numbermatics database.
Names of 148348093870080
- Cardinal: 148348093870080 can be written as One hundred forty-eight trillion, three hundred forty-eight billion, ninety-three million, eight hundred seventy thousand and eighty.
Scientific notation
- Scientific notation: 1.4834809387008 × 1014
Factors of 148348093870080
Divisors of 148348093870080
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 256 260 270 271 281 288 312 320 351 360 384 390 416 432 468 480 512 520 540 542 562 576 585 624 640 702 720 768 780 813 832 843 864 936 960 1024 1040 1080 1084 1124 1152 1170 1248 1280 1355 1404 1405 1440 1536 1560 1626 1664 1686 1728 1755 1872 1920 2048 2080 2160 2168 2248 2304 2340 2439 2496 2529 2560 2710 2808 2810 2880 3072 3120 3252 3328 3372 3456 3510 3523 3653 3744 3840 4065 4096 4160 4215 4320 4336 4496 4608 4680 4878 4992 5058 5120 5420 5616 5620 5760 6144 6240 6504 6656 6744 6912 7020 7046 7306 7317 7488 7587 7680 8130 8320 8430 8640 8672 8992 9216 9360 9756 9984 10116 10240 10569 10840 10959 11232 11240 11520 12195 12288 12480 12645 13008 13312 13488 13824 14040 14092 14612 14634 14976 15174 15360 16260 16640 16860 17280 17344 17615 17984 18265 18432 18720 19512 19968 20232 20480 21138 21680 21918 22464 22480 23040 24390 24960 25290 26016 26624 26976 27648 28080 28184 29224 29268 29952 30348 30720 31707 32520 32877 33280 33720 34560 34688 35230 35968 36530 36585 36864 37440 37935 39024 39936 40464 42276 43360 43836 44928 44960 46080 48780 49920 50580 52032 52845 53248 53952 54795 55296 56160 56368 58448 58536 59904 60696 61440 63414 65040 65754 66560 67440 69120 69376 70460 71936 73060 73170 73441 74880 75870 76151 78048 79872 80928 84552 86720 87672 89856 89920 92160 95121 97560 98631 99840 101160 104064 105690 107904 109590 110592 112320 112736 116896 117072 119808 121392 126828 130080 131508 133120 134880 138240 138752 140920 143872 146120 146340 146882 149760 151740 152302 156096 158535 159744 161856 164385 169104 173440 175344 179712 179840 184320 190242 195120 197262 199680 202320 208128 211380 215808 219180 220323 224640 225472 228453 233792 234144 239616 242784 253656 260160 263016 266240 269760 276480 277504 281840 287744 292240 292680 293764 299520 303480 304604 312192 317070 323712 328770 338208 346880 350688 359424 359680 367205 380484 380755 390240 394524 399360 404640 416256 422760 431616 438360 440646 449280 450944 456906 467584 468288 475605 479232 485568 493155 507312 520320 526032 539520 552960 555008 563680 575488 584480 585360 587528 599040 606960 609208 624384 634140 647424 657540 660969 676416 685359 693760 701376 718848 719360 734410 760968 761510 780480 789048 798720 809280 832512 845520 863232 876720 881292 898560 901888 913812 935168 936576 951210 954733 971136 986310 989963 1014624 1040640 1052064 1079040 1101615 1110016 1127360 1142265 1150976 1168960 1170720 1175056 1198080 1213920 1218416 1248768 1268280 1294848 1315080 1321938 1352832 1370718 1387520 1402752 1437696 1438720 1468820 1521936 1523020 1560960 1578096 1618560 1665024 1691040 1726464 1753440 1762584 1797120 1803776 1827624 1870336 1873152 1902420 1909466 1942272 1972620 1979926 1982907 2029248 2056077 2081280 2104128 2158080 2203230 2254720 2284530 2337920 2341440 2350112 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6599114496 6603814720 6768322560 6842624256 7018076160 7243559271 7332349440 7429291560 7602915840 7924577664 8048399190 8121987072 8248893120 8421691392 8553280320 8584959136 8798819328 8915149872 9123499008 9658079028 9776465920 9905722080 10137221120 10152483840 10527114240 10566103552 10731198920 10998524160 11143937340 11404373760 11731759104 11886866496 12072598785 12164665344 12877438704 13198228992 13207629440 13536645120 13685248512 14036152320 14487118542 14664698880 14858583120 15205831680 15849155328 16096798380 16497786240 17106560640 17169918272 17597638656 17830299744 18246998016 19316158056 19552931840 19811444160 20274442240 20304967680 21054228480 21132207104 21462397840 21997048320 22287874680 22808747520 23773732992 24145197570 25754877408 26396457984 26415258880 27370497024 28974237084 29329397760 29717166240 30411663360 31698310656 32193596760 32995572480 34213121280 34339836544 35195277312 35660599488 36217796355 36493996032 38632316112 39622888320 40609935360 42108456960 42264414208 42924795680 43994096640 44575749360 45617495040 47547465984 48290395140 51509754816 52792915968 52830517760 54740994048 57948474168 58658795520 59434332480 60823326720 63396621312 64387193520 65991144960 68426242560 68679673088 71321198976 72435592710 77264632224 79245776640 84528828416 85849591360 87988193280 89151498720 91234990080 95094931968 96580790280 103019509632 105585831936 105661035520 109481988096 115896948336 118868664960 126793242624 128774387040 131982289920 136852485120 137359346176 142642397952 144871185420 154529264448 158491553280 171699182720 175976386560 178302997440 182469980160 190189863936 193161580560 206039019264 211322071040 231793896672 237737329920 253586485248 257548774080 263964579840 273704970240 274718692352 285284795904 289742370840 309058528896 316983106560 343398365440 356605994880 380379727872 386323161120 412078038528 422644142080 463587793344 475474659840 515097548160 527929159680 547409940480 549437384704 570569591808 579484741680 618117057792 633966213120 686796730880 713211989760 760759455744 772646322240 824156077056 927175586688 950949319680 1030195096320 1098874769408 1141139183616 1158969483360 1236234115584 1267932426240 1373593461760 1426423979520 1545292644480 1648312154112 1854351173376 1901898639360 2060390192640 2282278367232 2317938966720 2472468231168 2747186923520 2852847959040 3090585288960 3296624308224 3708702346752 3803797278720 4120780385280 4635877933440 4944936462336 5494373847040 5705695918080 6181170577920 7417404693504 8241560770560 9271755866880 9889872924672 11411391836160 12362341155840 14834809387008 16483121541120 18543511733760 24724682311680 29669618774016 37087023467520 49449364623360 74174046935040 148348093870080
- Sum of all divisors σ(n): 572096641556160
- Sum of proper divisors (its aliquot sum) s(n): 423748547686080
- 148348093870080 is an abundant number, because the sum of its proper divisors (423748547686080) is greater than itself. Its abundance is 275400453816000
Bases of 148348093870080
- Binary: 1000011011101011111110110111000000110000000000002
- Hexadecimal: 0x86EBFB703000
- Base-36: 1GL268UTC0
Squares and roots of 148348093870080
- 148348093870080 squared (1483480938700802) is 22007156954886067271919206400
- 148348093870080 cubed (1483480938700803) is 3264719785757022235366196131464858304512000
-
The
square root of 148348093870080 is 12179823.2281950627 -
The
cube root of 148348093870080 is 52937.1622515203
Scales and comparisons
How big is 148348093870080?- 148,348,093,870,080 seconds is equal to 4,717,010 years, 26 weeks, 5 days, 4 hours, 48 minutes.
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To count from 1 to 148,348,093,870,080 would take you about eleven million, seven hundred ninety-two thousand, five hundred twenty-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 148348093870080 cubic inches would be around 4411.4 feet tall.
Recreational maths with 148348093870080
- 148348093870080 backwards is 080078390843841
- The number of decimal digits it has is: 15
- The sum of 148348093870080's digits is 63
- More coming soon!
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The information we have on file for 148348093870080 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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