148948435530275040
148,948,435,530,275,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 148948435530275040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
148948435530275040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 148948435530275040:
25 × 34 × 5 × 11 × 47 × 2111 × 10530577
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 47 × 2111 × 10530577)See below for interesting mathematical facts about the number 148948435530275040 from the Numbermatics database.
Names of 148948435530275040
- Cardinal: 148948435530275040 can be written as One hundred forty-eight quadrillion, nine hundred forty-eight trillion, four hundred thirty-five billion, five hundred thirty million, two hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.4894843553027504 × 1017
Factors of 148948435530275040
Divisors of 148948435530275040
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 47 48 54 55 60 66 72 80 81 88 90 94 96 99 108 110 120 132 135 141 144 160 162 165 176 180 188 198 216 220 235 240 264 270 282 288 297 324 330 352 360 376 396 405 423 432 440 470 480 495 517 528 540 564 594 648 660 705 720 752 792 810 846 864 880 891 940 990 1034 1056 1080 1128 1188 1269 1296 1320 1410 1440 1485 1504 1551 1584 1620 1692 1760 1782 1880 1980 2068 2111 2115 2160 2256 2376 2538 2585 2592 2640 2820 2970 3102 3168 3240 3384 3564 3760 3807 3960 4136 4222 4230 4320 4455 4512 4653 4752 5076 5170 5280 5640 5940 6204 6333 6345 6480 6768 7128 7520 7614 7755 7920 8272 8444 8460 8910 9306 9504 10152 10340 10555 11280 11880 12408 12666 12690 12960 13536 13959 14256 15228 15510 15840 16544 16888 16920 17820 18612 18999 19035 20304 20680 21110 22560 23221 23265 23760 24816 25332 25380 27918 28512 30456 31020 31665 33776 33840 35640 37224 37998 38070 40608 41360 41877 42220 46442 46530 47520 49632 50664 50760 55836 56997 60912 62040 63330 67552 67680 69663 69795 71280 74448 75996 76140 82720 83754 84440 92884 93060 94995 99217 101328 101520 111672 113994 116105 121824 124080 126660 139326 139590 142560 148896 151992 152280 167508 168880 170991 185768 186120 189990 198434 202656 203040 208989 209385 223344 227988 232210 248160 253320 278652 279180 284985 297651 303984 304560 335016 337760 341982 348315 371536 372240 379980 396868 417978 418770 446688 455976 464420 496085 506640 557304 558360 569970 595302 607968 609120 626967 670032 683964 696630 743072 744480 759960 793736 835956 837540 854955 892953 911952 928840 992170 1013280 1044945 1091387 1114608 1116720 1139940 1190604 1253934 1340064 1367928 1393260 1488255 1519920 1587472 1671912 1675080 1709910 1785906 1823904 1857680 1880901 1984340 2089890 2182774 2229216 2233440 2279880 2381208 2507868 2678859 2735856 2786520 2976510 3039840 3134835 3174944 3274161 3343824 3350160 3419820 3571812 3715360 3761802 3968680 4179780 4365548 4464765 4559760 4762416 5015736 5357718 5456935 5471712 5573040 5953020 6269670 6548322 6687648 6700320 6839640 7143624 7523604 7937360 8036577 8359560 8731096 8929530 9119520 9404505 9524832 9822483 10031472 10530577 10715436 10913870 11146080 11906040 12539340 13096644 13394295 13679280 14287248 15047208 15874720 16073154 16370805 16719120 17462192 17859060 18809010 19644966 20062944 21061154 21430872 21827740 23812080 25078680 26193288 26788590 27358560 28574496 29467449 30094416 31591731 32146308 32741610 33438240 34924384 35718120 37618020 39289932 40182885 42122308 42861744 43655480 47624160 49112415 50157360 52386576 52652885 53577180 58934898 60188832 63183462 64292616 65483220 71436240 75236040 78579864 80365770 84244616 85723488 87310960 88402347 94775193 98224830 100314720 104773152 105305770 107154360 115836347 117869796 126366924 128585232 130966440 142872480 147337245 150472080 157159728 157958655 160731540 168489232 174621920 176804694 189550386 196449660 210611540 214308720 231672694 235739592 252733848 257170464 261932880 284325579 294674490 300944160 314319456 315917310 321463080 336978464 347509041 353609388 379100772 392899320 421223080 428617440 442011735 463345388 471479184 473875965 494937119 505467696 523865760 568651158 579181735 589348980 631834620 642926160 695018082 707218776 758201544 785798640 842446160 852976737 884023470 926690776 942958368 947751930 989874238 1010935392 1042527123 1137302316 1158363470 1178697960 1263669240 1285852320 1390036164 1414437552 1421627895 1484811357 1516403088 1571597280 1684892320 1705953474 1737545205 1768046940 1853381552 1895503860 1979748476 2085054246 2274604632 2316726940 2357395920 2474685595 2527338480 2780072328 2828875104 2843255790 2969622714 3032806176 3127581369 3411906948 3475090410 3536093880 3706763104 3791007720 3959496952 4170108492 4264883685 4454434071 4549209264 4633453880 4714791840 4949371190 5054676960 5212635615 5444308309 5560144656 5686511580 5939245428 6255162738 6823813896 6950180820 7072187760 7424056785 7582015440 7918993904 8340216984 8529767370 8908868142 9098418528 9266907760 9382744107 9898742380 10425271230 10888616618 11120289312 11373023160 11878490856 12510325476 13363302213 13647627792 13900361640 14144375520 14848113570 15164030880 15637906845 15837987808 16332924927 16680433968 17059534740 17817736284 18533815520 18765488214 19797484760 20850542460 21777233236 22230048047 22272170355 22746046320 23756981712 25020650952 26726604426 27221541545 27295255584 27800723280 29696227140 31275813690 32665849854 33360867936 34119069480 35635472568 37530976428 39594969520 40089906639 41701084920 43554466472 44460096094 44544340710 45492092640 46913720535 47513963424 48998774781 50041301904 53453208852 54443083090 55601446560 59392454280 62551627380 65331699708 66690144141 66816511065 68238138960 71270945136 75061952856 79189939040 80179813278 81664624635 83402169840 87108932944 88920192188 89088681420 93827441070 97997549562 100082603808 106906417704 108886166180 111150240235 118784908560 125103254760 130663399416 133380288282 133633022130 136476277920 142541890272 146996324343 150123905712 160359626556 163329249270 166804339680 174217865888 177840384376 178177362840 187654882140 195995099124 200070432423 200449533195 213812835408 217772332360 222300480470 237569817120 244530528517 244993873905 250206509520 261326798832 266760576564 267266044260 293992648686 300247811424 320719253112 326658498540 333450720705 355680768752 356354725680 375309764280 391990198248 400140864846 400899066390 427625670816 435544664720 440988973029 444600960940 489061057034 489987747810 500413019040 522653597664 533521153128 534532088520 587985297372 600211297269 641438506224 653316997080 666901441410 711361537504 712709451360 733591585551 734981621715 750619528560 783980396496 800281729692 801798132780 871089329440 881977946058 889201921880 978122114068 979975495620 1000352162115 1044812258209 1067042306256 1069064177040 1175970594744 1200422594538 1222652642585 1282877012448 1306633994160 1333802882820 1467183171102 1469963243430 1501239057120 1567960792992 1600563459384 1603596265560 1763955892116 1778403843760 1800633891807 1956244228136 1959950991240 2000704324230 2089624516418 2134084612512 2138128354080 2200774756653 2204944865145 2351941189488 2400845189076 2445305285170 2613267988320 2667605765640 2934366342204 2939926486860 3001056486345 3134436774627 3201126918768 3207192531120 3527911784232 3556807687520 3601267783614 3667957927755 3912488456272 3919901982480 4001408648460 4179249032836 4401549513306 4409889730290 4703882378976 4801690378152 4890610570340 5224061291045 5335211531280 5868732684408 5879852973720 6002112972690 6268873549254 6402253837536 6414385062240 6602324269959 7055823568464 7202535567228 7335915855510 7824976912544 7839803964960 8002817296920 8358498065672 8803099026612 8819779460580 9003169459035 9403310323881 9603380756304 9781221140680 10448122582090 10670423062560 11003873783265 11492934840299 11737465368816 11759705947440 12004225945380 12537747098508 13204648539918 14111647136928 14405071134456 14671831711020 15672183873135 16005634593840 16716996131344 17606198053224 17639558921160 18006338918070 18806620647762 19206761512608 19562442281360 19806972809877 20896245164180 22007747566530 22985869680598 23474930737632 23519411894880 24008451890760 25075494197016 26409297079836 28209930971643 28810142268912 29343663422040 31344367746270 32011269187680 33011621349795 33433992262688 34478804520897 35212396106448 35279117842320 36012677836140 37613241295524 39124884562720 39613945619754 41792490328360 44015495133060 45971739361196 47016551619405 48016903781520 50150988394032 52818594159672 56419861943286 57464674201495 57620284537824 58687326844080 62688735492540 66023242699590 68957609041794 70424792212896 70558235684640 72025355672280 75226482591048 79227891239508 83584980656720 84629792914929 88030990266120 91943478722392 94033103238810 96033807563040 99034864049385 100301976788064 103436413562691 105637188319344 112839723886572 114929348402990 117374653688160 125377470985080 132046485399180 137915218083588 141049654858215 144050711344560 150452965182096 158455782479016 167169961313440 169259585829858 172394022604485 176061980532240 183886957444784 188066206477620 198069728098770 206872827125382 211274376638688 225679447773144 229858696805980 250754941970160 264092970798360 275830436167176 282099309716430 288101422689120 300905930364192 310309240688073 316911564958032 338519171659716 344788045208970 352123961064480 367773914889568 376132412955240 396139456197540 413745654250764 423148964574645 451358895546288 459717393611960 501509883940320 517182067813455 528185941596720 551660872334352 564198619432860 620618481376146 633823129916064 677038343319432 689576090417940 752264825910480 792278912395080 827491308501528 846297929149290 902717791092576 919434787223920 930927722064219 1034364135626910 1056371883193440 1103321744668704 1128397238865720 1241236962752292 1354076686638864 1379152180835880 1504529651820960 1551546203440365 1584557824790160 1654982617003056 1692595858298580 1838869574447840 1861855444128438 2068728271253820 2256794477731440 2482473925504584 2708153373277728 2758304361671760 3103092406880730 3169115649580320 3309965234006112 3385191716597160 3723710888256876 4137456542507640 4513588955462880 4654638610321095 4964947851009168 5516608723343520 6206184813761460 6770383433194320 7447421776513752 8274913085015280 9309277220642190 9929895702018336 12412369627522920 13540766866388640 14894843553027504 16549826170030560 18618554441284380 24824739255045840 29789687106055008 37237108882568760 49649478510091680 74474217765137520 148948435530275040
- Sum of all divisors σ(n): 585930056661024768
- Sum of proper divisors (its aliquot sum) s(n): 436981621130749728
- 148948435530275040 is an abundant number, because the sum of its proper divisors (436981621130749728) is greater than itself. Its abundance is 288033185600474688
Bases of 148948435530275040
- Binary: 10000100010010101111010000000111011010000111011000111000002
- Hexadecimal: 0x2112BD01DA1D8E0
- Base-36: 14QLTANG3200
Squares and roots of 148948435530275040
- 148948435530275040 squared (1489484355302750402) is 22185636446916499936316418047001600
- 148948435530275040 cubed (1489484355302750403) is 3304515840011662495506035013296830795026495320064000
-
The
square root of 148948435530275040 is 385938383.0746496765 -
The
cube root of 148948435530275040 is 530084.7562687817
Scales and comparisons
How big is 148948435530275040?- 148,948,435,530,275,040 seconds is equal to 4,736,099,522 years, 5 weeks, 1 day, 20 hours, 24 minutes.
-
To count from 1 to 148,948,435,530,275,040 would take you about fourteen billion, two hundred eight million, two hundred ninety-eight thousand, five hundred sixty-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 148948435530275040 cubic inches would be around 44173.7 feet tall.
Recreational maths with 148948435530275040
- 148948435530275040 backwards is 040572035534849841
- 148948435530275040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 148948435530275040's digits is 72
- More coming soon!
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The information we have on file for 148948435530275040 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!
Keywords: Divisors of 148948435530275040, math, Factors of 148948435530275040, curriculum, school, college, exams, university, Prime factorization of 148948435530275040, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quadrillion, nine hundred forty-eight trillion, four hundred thirty-five billion, five hundred thirty million, two hundred seventy-five thousand and forty.