148378446796885140744000
148,378,446,796,885,140,744,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 148378446796885140744000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
148378446796885140744000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 148378446796885140744000:
26 × 35 × 53 × 31 × 1427 × 1725396422023
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 1427 × 1725396422023)See below for interesting mathematical facts about the number 148378446796885140744000 from the Numbermatics database.
Names of 148378446796885140744000
- Cardinal: 148378446796885140744000 can be written as One hundred forty-eight sextillion, three hundred seventy-eight quintillion, four hundred forty-six quadrillion, seven hundred ninety-six trillion, eight hundred eighty-five billion, one hundred forty million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.48378446796885140744 × 1023
Factors of 148378446796885140744000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1725396423491
Divisors of 148378446796885140744000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 250 270 279 288 300 310 320 324 360 372 375 400 405 432 450 465 480 486 496 500 540 558 576 600 620 648 675 720 744 750 775 800 810 837 864 900 930 960 972 992 1000 1080 1116 1125 1200 1215 1240 1296 1350 1395 1427 1440 1488 1500 1550 1600 1620 1674 1728 1800 1860 1944 1984 2000 2025 2160 2232 2250 2325 2400 2430 2480 2511 2592 2700 2790 2854 2880 2976 3000 3100 3240 3348 3375 3600 3720 3875 3888 4000 4050 4185 4281 4320 4464 4500 4650 4800 4860 4960 5022 5184 5400 5580 5708 5952 6000 6075 6200 6480 6696 6750 6975 7135 7200 7440 7533 7750 7776 8000 8100 8370 8562 8640 8928 9000 9300 9720 9920 10044 10125 10800 11160 11416 11625 12000 12150 12400 12555 12843 12960 13392 13500 13950 14270 14400 14880 15066 15500 15552 16200 16740 17124 17856 18000 18600 19440 20088 20250 20925 21405 21600 22320 22832 23250 24000 24300 24800 25110 25686 25920 26784 27000 27900 28540 29760 30132 30375 31000 32400 33480 34248 34875 35675 36000 37200 37665 38529 38880 40176 40500 41850 42810 43200 44237 44640 45664 46500 48600 49600 50220 51372 53568 54000 55800 57080 60264 60750 62000 62775 64215 64800 66960 68496 69750 71350 72000 74400 75330 77058 77760 80352 81000 83700 85620 88474 89280 91328 93000 97200 100440 102744 104625 107025 108000 111600 114160 115587 120528 121500 124000 125550 128430 129600 132711 133920 136992 139500 142700 148800 150660 154116 160704 162000 167400 171240 176948 178375 186000 188325 192645 194400 200880 205488 209250 214050 216000 221185 223200 228320 231174 241056 243000 248000 251100 256860 265422 267840 273984 279000 285400 301320 308232 313875 321075 324000 334800 342480 346761 353896 356750 372000 376650 385290 388800 398133 401760 410976 418500 428100 442370 446400 456640 462348 482112 486000 502200 513720 530844 535125 558000 570800 577935 602640 616464 627750 642150 648000 663555 669600 684960 693522 707792 713500 744000 753300 770580 796266 803520 821952 837000 856200 884740 924696 941625 963225 972000 1004400 1027440 1061688 1070250 1105925 1116000 1141600 1155870 1194399 1205280 1232928 1255500 1284300 1327110 1339200 1369920 1387044 1415584 1427000 1506600 1541160 1592532 1605375 1674000 1712400 1733805 1769480 1849392 1883250 1926450 1944000 1990665 2008800 2054880 2123376 2140500 2211850 2232000 2283200 2311740 2388798 2410560 2465856 2511000 2568600 2654220 2774088 2831168 2854000 2889675 3013200 3082320 3185064 3210750 3317775 3348000 3424800 3467610 3538960 3583197 3698784 3766500 3852900 3981330 4017600 4109760 4246752 4281000 4423700 4623480 4777596 4816125 5022000 5137200 5308440 5529625 5548176 5708000 5779350 5971995 6026400 6164640 6370128 6421500 6635550 6696000 6849600 6935220 7077920 7166394 7397568 7533000 7705800 7962660 8493504 8562000 8669025 8847400 9246960 9555192 9632250 9953325 10044000 10274400 10616880 10749591 11059250 11096352 11416000 11558700 11943990 12052800 12329280 12740256 12843000 13271100 13870440 14155840 14332788 14448375 15066000 15411600 15925320 16588875 17124000 17338050 17694800 17915985 18493920 19110384 19264500 19906650 20088000 20548800 21233760 21499182 22118500 22192704 23117400 23887980 25480512 25686000 26542200 27740880 28665576 28896750 29859975 30132000 30823200 31850640 33177750 34248000 34676100 35389600 35831970 36987840 38220768 38529000 39813300 42467520 42998364 43345125 44237000 46234800 47775960 49766625 51372000 53084400 53747955 55481760 57331152 57793500 59719950 60264000 61646400 63701280 66355500 69352200 70779200 71663940 76441536 77058000 79626600 85996728 86690250 88474000 89579925 92469600 95551920 99533250 102744000 106168800 107495910 110963520 114662304 115587000 119439900 127402560 132711000 138704400 143327880 149299875 154116000 159253200 171993456 173380500 176948000 179159850 184939200 191103840 199066500 212337600 214991820 229324608 231174000 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69015856880920 77642838991035 82819028257104 86269821101150 93171406789242 103523785321380 106974578165426 110425371009472 124228542385656 129404731651725 138031713761840 139757110183863 155285677982070 160461867248139 165638056514208 172539642202300 186342813578484 207047570642760 213949156330852 215674552752875 232928516973105 248457084771312 258809463303450 267436445413565 276063427523680 279514220367726 310571355964140 320923734496278 331276113028416 345079284404600 372685627156968 388214194955175 414095141285520 419271330551589 427898312661704 431349105505750 465857033946210 481385601744417 496914169542624 517618926606900 534872890827130 552126855047360 559028440735452 621142711928280 641847468992556 647023658258625 690158568809200 698785550919315 745371254313936 776428389910350 802309336240695 828190282571040 838542661103178 855796625323408 862698211011500 931714067892420 962771203488834 993828339085248 1035237853213800 1069745781654260 1118056881470904 1164642584865525 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7090965199373244480 7327330706019019296 7386422082680463000 7632636152103145100 7977335849294900040 8243247044271396708 8309724843015520875 8664940831399506000 8863706499216555600 9159163382523774120 9540795190128931375 9572803019153880048 9848562776907284000 9971669811618625050 10304058805339245885 10397928997679407200 10636447799059866720 10990996059028528944 11079633124020694500 11448954228154717650 11553254441866008000 11818275332288740800 11966003773942350060 12212217843365032160 12364870566407095062 12763737358871840064 12997411247099259000 13295559748824833400 13738745073785661180 14654661412038038592 14772844165360926000 14957504717427937575 15265272304206290200 15954671698589800080 16486494088542793416 16619449686031041750 17173431342232076475 17329881662799012000 17727412998433111200 18318326765047548240 18547305849610642593 19081590380257862750 19145606038307760096 19697125553814568000 19943339623237250100 20608117610678491770 20795857995358814400 21272895598119733440 21981992118057057888 22159266248041389000 22897908456309435300 23932007547884700120 24424435686730064320 24729741132814190124 24929174529046562625 25994822494198518000 26591119497649666800 27477490147571322360 28622385570386794125 29545688330721852000 29915009434855875150 30530544608412580400 30912176416017737655 31909343397179600160 32972988177085586832 33238899372062083500 34346862684464152950 34659763325598024000 35454825996866222400 36636653530095096480 37094611699221285186 38163180760515725500 38291212076615520192 39886679246474500200 41216235221356983540 43963984236114115776 44318532496082778000 45795816912618870600 47864015095769400240 49459482265628380248 49858349058093125250 51520294026696229425 51989644988397036000 53182238995299333600 54954980295142644720 57244771140773588250 59091376661443704000 59830018869711750300 61061089216825160800 61824352832035475310 63818686794359200320 65945976354171173664 66477798744124167000 68693725368928305900 73273307060190192960 74189223398442570372 74787523587139687875 76326361521031451000 79773358492949000400 82432470442713967080 85867156711160382375 88637064992165556000 91591633825237741200 92736529248053212965 95728030191538800480 98918964531256760496 99716698116186250500 103040588053392458850 103979289976794072000 106364477990598667200 109909960590285289440 114489542281547176500 119660037739423500600 122122178433650321600 123648705664070950620 131891952708342347328 132955597488248334000 137387450737856611800 148378446796885140744 149575047174279375750 152652723042062902000 154560882080088688275 159546716985898000800 164864940885427934160 171734313422320764750 177274129984331112000 183183267650475482400 185473058496106425930 191456060383077600960 197837929062513520992 199433396232372501000 206081176106784917700 219819921180570578880 228979084563094353000 239320075478847001200 247297411328141901240 257601470133481147125 265911194976496668000 274774901475713223600 296756893593770281488 299150094348558751500 305305446084125804000 309121764160177376550 319093433971796001600 329729881770855868320 343468626844641529500 366366535300950964800 370946116992212851860 395675858125027041984 398866792464745002000 412162352213569835400 457958169126188706000 463682646240266064825 478640150957694002400 494594822656283802480 515202940266962294250 531822389952993336000 549549802951426447200 593513787187540562976 598300188697117503000 610610892168251608000 618243528320354753100 659459763541711736640 686937253689283059000 741892233984425703720 772804410400443441375 797733584929490004000 824324704427139670800 915916338252377412000 927365292480532129650 957280301915388004800 989189645312567604960 1030405880533924588500 1099099605902852894400 1187027574375081125952 1196600377394235006000 1236487056640709506200 1373874507378566118000 1483784467968851407440 1545608820800886882750 1595467169858980008000 1648649408854279341600 1831832676504754824000 1854730584961064259300 1978379290625135209920 2060811761067849177000 2318413231201330324125 2393200754788470012000 2472974113281419012400 2747749014757132236000 2967568935937702814880 3091217641601773765500 3297298817708558683200 3709461169922128518600 4121623522135698354000 4636826462402660648250 4786401509576940024000 4945948226562838024800 5495498029514264472000 5935137871875405629760 6182435283203547531000 7418922339844257037200 8243247044271396708000 9273652924805321296500 9891896453125676049600 12364870566407095062000 14837844679688514074400 16486494088542793416000 18547305849610642593000 24729741132814190124000 29675689359377028148800 37094611699221285186000 49459482265628380248000 74189223398442570372000 148378446796885140744000
- Sum of all divisors σ(n): 568586811379795223887872
- Sum of proper divisors (its aliquot sum) s(n): 420208364582910083143872
- 148378446796885140744000 is an abundant number, because the sum of its proper divisors (420208364582910083143872) is greater than itself. Its abundance is 271829917786024942399872
Bases of 148378446796885140744000
- Binary: 111110110101110011100100110011001001100010000001101111011100010100111010000002
- Hexadecimal: 0x1F6B9C99931037B8A740
- Base-36: O5U5VKV7MJSQC00
Squares and roots of 148378446796885140744000
- 148378446796885140744000 squared (1483784467968851407440002) is 22016163473856074283197935186584688873536000000
- 148378446796885140744000 cubed (1483784467968851407440003) is 3266724140677079458308183252959661678020491898719186176950784000000000
-
The
square root of 148378446796885140744000 is 385199230005.5714555089 -
The
cube root of 148378446796885140744000 is 52940772.4276376785
Scales and comparisons
How big is 148378446796885140744000?- 148,378,446,796,885,140,744,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 148,378,446,796,885,140,744,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 148378446796885140744000 cubic inches would be around 4411731 feet tall.
Recreational maths with 148378446796885140744000
- 148378446796885140744000 backwards is 000447041588697644873841
- 148378446796885140744000 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 148378446796885140744000's digits is 108
- More coming soon!
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The information we have on file for 148378446796885140744000 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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