4978448713813101120
4,978,448,713,813,101,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4978448713813101120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
4978448713813101120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 4978448713813101120:
26 × 32 × 5 × 11 × 23 × 97 × 70438369489
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 23 × 97 × 70438369489)See below for interesting mathematical facts about the number 4978448713813101120 from the Numbermatics database.
Names of 4978448713813101120
- Cardinal: 4978448713813101120 can be written as Four quintillion, nine hundred seventy-eight quadrillion, four hundred forty-eight trillion, seven hundred thirteen billion, eight hundred thirteen million, one hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.97844871381310112 × 1018
Factors of 4978448713813101120
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 70438369630
Divisors of 4978448713813101120
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 30 32 33 36 40 44 45 46 48 55 60 64 66 69 72 80 88 90 92 96 97 99 110 115 120 132 138 144 160 165 176 180 184 192 194 198 207 220 230 240 253 264 276 288 291 320 330 345 352 360 368 388 396 414 440 460 480 485 495 506 528 552 576 582 660 690 704 720 736 759 776 792 828 873 880 920 960 970 990 1012 1035 1056 1067 1104 1164 1265 1320 1380 1440 1455 1472 1518 1552 1584 1656 1746 1760 1840 1940 1980 2024 2070 2112 2134 2208 2231 2277 2328 2530 2640 2760 2880 2910 3036 3104 3168 3201 3312 3492 3520 3680 3795 3880 3960 4048 4140 4268 4365 4416 4462 4554 4656 5060 5280 5335 5520 5820 6072 6208 6336 6402 6624 6693 6984 7360 7590 7760 7920 8096 8280 8536 8730 8924 9108 9312 9603 10120 10560 10670 11040 11155 11385 11640 12144 12804 13248 13386 13968 15180 15520 15840 16005 16192 16560 17072 17460 17848 18216 18624 19206 20079 20240 21340 22080 22310 22770 23280 24288 24541 25608 26772 27936 30360 31040 31680 32010 33120 33465 34144 34920 35696 36432 38412 40158 40480 42680 44620 45540 46560 48015 48576 49082 51216 53544 55872 60720 64020 66240 66930 68288 69840 71392 72864 73623 76824 80316 80960 85360 89240 91080 93120 96030 98164 100395 102432 107088 121440 122705 128040 133860 139680 142784 145728 147246 153648 160632 170720 178480 182160 192060 196328 200790 204864 214176 220869 242880 245410 256080 267720 279360 294492 307296 321264 341440 356960 364320 368115 384120 392656 401580 428352 441738 490820 512160 535440 588984 614592 642528 713920 728640 736230 768240 785312 803160 883476 981640 1024320 1070880 1104345 1177968 1285056 1472460 1536480 1570624 1606320 1766952 1963280 2141760 2208690 2355936 2944920 3072960 3212640 3533904 3926560 4417380 4711872 5889840 6425280 7067808 7853120 8834760 11779680 14135616 17669520 23559360 35339040 70678080 70438369489 140876738978 211315108467 281753477956 352191847445 422630216934 563506955912 633945325401 704383694890 774822064379 845260433868 1056575542335 1127013911824 1267890650802 1408767389780 1549644128758 1620082498247 1690520867736 2113151084670 2254027823648 2324466193137 2535781301604 2817534779560 3099288257516 3169726627005 3240164996494 3381041735472 3874110321895 4226302169340 4508055647296 4648932386274 4860247494741 5071562603208 5635069559120 6198576515032 6339453254010 6480329992988 6762083470944 6832521840433 6973398579411 7748220643790 8100412491235 8452604338680 9297864772548 9720494989482 10143125206416 11270139118240 11622330965685 12397153030064 12678906508020 12960659985976 13524166941888 13665043680866 13946797158822 14580742484223 15496441287580 16200824982470 16905208677360 17820907480717 18595729545096 19440989978964 20286250412832 20497565521299 22540278236480 23244661931370 24301237473705 24794306060128 25357813016040 25921319971952 27330087361732 27893594317644 29161484968446 30992882575160 32401649964940 33810417354720 34162609202165 34866992897055 35641814961434 37191459090192 38881979957928 40572500825664 40995131042598 46489323862740 48602474947410 49588612120256 50715626032080 51842639943904 53462722442151 54660174723464 55787188635288 58322969936892 61492696563897 61985765150320 64803299929880 67620834709440 68325218404330 69733985794110 71283629922868 72903712421115 74382918180384 75157740244763 77763959915856 81990262085196 89104537403585 92978647725480 97204949894820 101431252064160 102487827606495 103685279887808 106925444884302 109320349446928 111574377270576 116645939873784 122985393127794 123971530300640 129606599859760 136650436808660 139467971588220 142567259845736 145807424842230 148765836360768 150315480489526 155527919831712 157148002329959 160388167326453 163980524170392 178209074807170 185957295450960 194409899789640 202862504128320 204975655212990 213850889768604 218640698893856 223148754541152 225473220734289 233291879747568 245970786255588 247943060601280 259213199719520 267313612210755 273300873617320 278935943176440 285134519691472 291614849684460 300630960979052 307463482819485 311055839663424 314296004659918 320776334652906 327961048340784 356418149614340 371914590901920 375788701223815 388819799579280 409951310425980 427701779537208 437281397787712 446297509082304 450946441468578 466583759495136 471444006989877 491941572511176 518426399439040 534627224421510 546601747234640 557871886352880 570269039382944 583229699368920 601261921958104 614926965638970 628592009319836 641552669305812 655922096681568 676419662202867 712836299228680 743829181803840 751577402447630 777639599158560 785740011649795 801940836632265 819902620851960 855403559074416 901892882937156 933167518990272 942888013979754 983883145022352 1069254448843020 1093203494469280 1115743772705760 1127366103671445 1140538078765888 1166459398737840 1202523843916208 1229853931277940 1257184018639672 1283105338611624 1311844193363136 1352839324405734 1414332020969631 1425672598457360 1503154804895260 1555279198317120 1571480023299590 1603881673264530 1639805241703920 1710807118148832 1728628025629549 1803785765874312 1885776027959508 1967766290044704 2138508897686040 2186406988938560 2231487545411520 2254732207342890 2332918797475680 2357220034949385 2405047687832416 2459707862555880 2514368037279344 2566210677223248 2705678648811468 2828664041939262 2851345196914720 3006309609790520 3142960046599180 3207763346529060 3279610483407840 3382098311014335 3421614236297664 3457256051259098 3607571531748624 3771552055919016 3935532580089408 4277017795372080 4509464414685780 4665837594951360 4714440069898770 4810095375664832 4919415725111760 5028736074558688 5132421354446496 5185884076888647 5411357297622936 5657328083878524 5702690393829440 6012619219581040 6285920093198360 6415526693058120 6559220966815680 6764196622028670 6914512102518196 7071660104848155 7215143063497248 7543104111838032 8554035590744160 8643140128147745 9018928829371560 9428880139797540 9838831450223520 10057472149117376 10264842708892992 10371768153777294 10822714595245872 11314656167757048 12025238439162080 12571840186396720 12831053386116240 13528393244057340 13829024205036392 14143320209696310 14430286126994496 15086208223676064 15557652230665941 17108071181488320 17286280256295490 18037857658743120 18857760279595080 19677662900447040 20743536307554588 21645429190491744 22629312335514096 24050476878324160 25143680372793440 25662106772232480 25929420384443235 27056786488114680 27658048410072784 28286640419392620 30172416447352128 31115304461331882 34572560512590980 36075715317486240 37715520559190160 41487072615109176 43290858380983488 45258624671028192 50287360745586880 51324213544464960 51858840768886470 54113572976229360 55316096820145568 56573280838785240 62230608922663764 69145121025181960 72151430634972480 75431041118380320 77788261153329705 82974145230218352 90517249342056384 103717681537772940 108227145952458720 110632193640291136 113146561677570480 124461217845327528 138290242050363920 150862082236760640 155576522306659410 165948290460436704 207435363075545880 216454291904917440 226293123355140960 248922435690655056 276580484100727840 311153044613318820 331896580920873408 414870726151091760 452586246710281920 497844871381310112 553160968201455680 622306089226637640 829741452302183520 995689742762620224 1244612178453275280 1659482904604367040 2489224356906550560 4978448713813101120
- Sum of all divisors σ(n): 19693648466051938560
- Sum of proper divisors (its aliquot sum) s(n): 14715199752238837440
- 4978448713813101120 is an abundant number, because the sum of its proper divisors (14715199752238837440) is greater than itself. Its abundance is 9736751038425736320
Bases of 4978448713813101120
- Binary: 1000101000101110000000010111010011011110101010010001010010000002
- Hexadecimal: 0x451700BA6F548A40
- Base-36: 11TNSS5SJOCW0
Squares and roots of 4978448713813101120
- 4978448713813101120 squared (49784487138131011202) is 24784951596067320818466850551345254400
- 4978448713813101120 cubed (49784487138131011203) is 123390610395361321091962524913402835052509031059324928000
-
The
square root of 4978448713813101120 is 2231243759.3891665875 -
The
cube root of 4978448713813101120 is 1707515.5963025439
Scales and comparisons
How big is 4978448713813101120?- 4,978,448,713,813,101,120 seconds is equal to 158,299,269,746 years, 15 weeks, 2 days, 15 hours, 12 minutes.
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To count from 1 to 4,978,448,713,813,101,120 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 4978448713813101120 cubic inches would be around 142293 feet tall.
Recreational maths with 4978448713813101120
- 4978448713813101120 backwards is 0211013183178448794
- 4978448713813101120 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4978448713813101120's digits is 72
- More coming soon!
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The information we have on file for 4978448713813101120 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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