3848848732832768000
3,848,848,732,832,768,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 3848848732832768000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 448 divisors.
3848848732832768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 3848848732832768000:
213 × 53 × 7 × 443 × 1212073957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 443 × 1212073957)See below for interesting mathematical facts about the number 3848848732832768000 from the Numbermatics database.
Names of 3848848732832768000
- Cardinal: 3848848732832768000 can be written as Three quintillion, eight hundred forty-eight quadrillion, eight hundred forty-eight trillion, seven hundred thirty-two billion, eight hundred thirty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.848848732832768 × 1018
Factors of 3848848732832768000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 1212074414
Divisors of 3848848732832768000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 443 448 500 512 560 640 700 800 875 886 896 1000 1024 1120 1280 1400 1600 1750 1772 1792 2000 2048 2215 2240 2560 2800 3101 3200 3500 3544 3584 4000 4096 4430 4480 5120 5600 6202 6400 7000 7088 7168 8000 8192 8860 8960 10240 11075 11200 12404 12800 14000 14176 14336 15505 16000 17720 17920 20480 22150 22400 24808 25600 28000 28352 28672 31010 32000 35440 35840 40960 44300 44800 49616 51200 55375 56000 56704 57344 62020 64000 70880 71680 77525 88600 89600 99232 102400 110750 112000 113408 124040 128000 141760 143360 155050 177200 179200 198464 204800 221500 224000 226816 248080 256000 283520 286720 310100 354400 358400 387625 396928 443000 448000 453632 496160 512000 567040 620200 708800 716800 775250 793856 886000 896000 907264 992320 1024000 1134080 1240400 1417600 1433600 1550500 1587712 1772000 1792000 1814528 1984640 2268160 2480800 2835200 3101000 3175424 3544000 3584000 3629056 3969280 4536320 4961600 5670400 6202000 6350848 7088000 7168000 7938560 9072640 9923200 11340800 12404000 12701696 14176000 15877120 18145280 19846400 22681600 24808000 25403392 28352000 31754240 39692800 45363200 49616000 56704000 63508480 79385600 90726400 99232000 113408000 127016960 158771200 198464000 226816000 317542400 396928000 453632000 635084800 793856000 1212073957 1587712000 2424147914 3175424000 4848295828 6060369785 8484517699 9696591656 12120739570 16969035398 19393183312 24241479140 30301848925 33938070796 38786366624 42422588495 48482958280 60603697850 67876141592 77572733248 84845176990 96965916560 121207395700 135752283184 151509244625 155145466496 169690353980 193931833120 212112942475 242414791400 271504566368 303018489250 310290932992 339380707960 387863666240 424225884950 484829582800 536948762951 543009132736 606036978500 620581865984 678761415920 775727332480 848451769900 969659165600 1060564712375 1073897525902 1086018265472 1212073957000 1241163731968 1357522831840 1551454664960 1696903539800 1939318331200 2121129424750 2147795051804 2172036530944 2424147914000 2482327463936 2684743814755 2715045663680 3102909329920 3393807079600 3758641340657 3878636662400 4242258849500 4295590103608 4344073061888 4848295828000 4964654927872 5369487629510 5430091327360 6205818659840 6787614159200 7517282681314 7757273324800 8484517699000 8591180207216 8688146123776 9696591656000 9929309855744 10738975259020 10860182654720 12411637319680 13423719073775 13575228318400 15034565362628 15514546649600 16969035398000 17182360414432 17376292247552 18793206703285 19393183312000 21477950518040 21720365309440 24823274639360 26847438147550 27150456636800 30069130725256 31029093299200 33938070796000 34364720828864 34752584495104 37586413406570 38786366624000 42955901036080 43440730618880 49646549278720 53694876295100 54300913273600 60138261450512 62058186598400 67118595368875 67876141592000 68729441657728 69505168990208 75172826813140 77572733248000 85911802072160 86881461237760 93966033516425 107389752590200 108601826547200 120276522901024 124116373196800 134237190737750 135752283184000 137458883315456 150345653626280 155145466496000 171823604144320 173762922475520 187932067032850 214779505180400 217203653094400 240553045802048 248232746393600 268474381475500 271504566368000 274917766630912 300691307252560 310290932992000 343647208288640 347525844951040 375864134065700 429559010360800 434407306188800 469830167582125 481106091604096 536948762951000 543009132736000 549835533261824 601382614505120 620581865984000 687294416577280 751728268131400 859118020721600 868814612377600 939660335164250 962212183208192 1073897525902000 1086018265472000 1099671066523648 1202765229010240 1241163731968000 1374588833154560 1503456536262800 1718236041443200 1737629224755200 1879320670328500 1924424366416384 2147795051804000 2172036530944000 2199342133047296 2405530458020480 2749177666309120 3006913072525600 3436472082886400 3758641340657000 3848848732832768 4295590103608000 4344073061888000 4398684266094592 4811060916040960 5498355332618240 6013826145051200 6872944165772800 7517282681314000 7697697465665536 8591180207216000 8688146123776000 9622121832081920 10996710665236480 12027652290102400 13745888331545600 15034565362628000 15395394931331072 17182360414432000 19244243664163840 21993421330472960 24055304580204800 27491776663091200 30069130725256000 30790789862662144 34364720828864000 38488487328327680 48110609160409600 54983553326182400 60138261450512000 68729441657728000 76976974656655360 96221218320819200 109967106652364800 120276522901024000 137458883315456000 153953949313310720 192442436641638400 240553045802048000 274917766630912000 384884873283276800 481106091604096000 549835533261824000 769769746566553600 962212183208192000 1924424366416384000 3848848732832768000
- Sum of all divisors σ(n): 11003227869925594368
- Sum of proper divisors (its aliquot sum) s(n): 7154379137092826368
- 3848848732832768000 is an abundant number, because the sum of its proper divisors (7154379137092826368) is greater than itself. Its abundance is 3305530404260058368
Bases of 3848848732832768000
- Binary: 110101011010011101101110000111110010101011010110100000000000002
- Hexadecimal: 0x3569DB87CAB5A000
- Base-36: T8PB0AGF7GU8
Squares and roots of 3848848732832768000
- 3848848732832768000 squared (38488487328327680002) is 14813636568228403946393854541824000000
- 3848848732832768000 cubed (38488487328327680003) is 57015446334271046513112214523522260826253688832000000000
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The
square root of 3848848732832768000 is 1961848295.0607490843 -
The
cube root of 3848848732832768000 is 1567148.9676812279
Scales and comparisons
How big is 3848848732832768000?- 3,848,848,732,832,768,000 seconds is equal to 122,381,484,433 years, 14 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 3,848,848,732,832,768,000 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 3848848732832768000 cubic inches would be around 130595.7 feet tall.
Recreational maths with 3848848732832768000
- 3848848732832768000 backwards is 0008672382378488483
- The number of decimal digits it has is: 19
- The sum of 3848848732832768000's digits is 89
- More coming soon!
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