48354101312000
48,354,101,312,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48354101312000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
48354101312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 48354101312000:
29 × 53 × 113 × 432 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 43 × 43 × 307)See below for interesting mathematical facts about the number 48354101312000 from the Numbermatics database.
Names of 48354101312000
- Cardinal: 48354101312000 can be written as Forty-eight trillion, three hundred fifty-four billion, one hundred one million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 4.8354101312 × 1013
Factors of 48354101312000
Divisors of 48354101312000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 64 80 86 88 100 110 121 125 128 160 172 176 200 215 220 242 250 256 275 307 320 344 352 400 430 440 473 484 500 512 550 605 614 640 688 704 800 860 880 946 968 1000 1075 1100 1210 1228 1280 1331 1375 1376 1408 1535 1600 1720 1760 1849 1892 1936 2000 2150 2200 2365 2420 2456 2560 2662 2750 2752 2816 3025 3070 3200 3377 3440 3520 3698 3784 3872 4000 4300 4400 4730 4840 4912 5203 5324 5375 5500 5504 5632 6050 6140 6400 6655 6754 6880 7040 7396 7568 7675 7744 8000 8600 8800 9245 9460 9680 9824 10406 10648 10750 11000 11008 11825 12100 12280 12800 13201 13310 13508 13760 14080 14792 15125 15136 15350 15488 16000 16885 17200 17600 18490 18920 19360 19648 20339 20812 21296 21500 22000 22016 23650 24200 24560 26015 26402 26620 27016 27520 28160 29584 30250 30272 30700 30976 32000 33275 33770 34400 35200 36980 37147 37840 38375 38720 39296 40678 41624 42592 43000 44000 46225 47300 48400 49120 52030 52804 53240 54032 55040 57233 59125 59168 60500 60544 61400 61952 64000 66005 66550 67540 68800 70400 73960 74294 75680 76750 77440 78592 81356 83248 84425 85184 86000 88000 92450 94600 96800 98240 101695 104060 105608 106480 108064 110080 114466 118250 118336 121000 121088 122800 130075 132010 133100 135080 137600 140800 145211 147920 148588 151360 153500 154880 157184 162712 166375 166496 168850 170368 172000 176000 184900 185735 189200 193600 196480 203390 208120 211216 212960 216128 223729 228932 231125 236500 236672 242000 242176 245600 260150 264020 266200 270160 275200 286165 290422 295840 297176 302720 307000 309760 325424 330025 332750 332992 337700 340736 344000 352000 369800 371470 378400 387200 392960 406780 408617 416240 422125 422432 425920 432256 447458 457864 462250 473000 473344 484000 491200 508475 520300 528040 532400 540320 550400 567643 572330 580844 591680 594352 605440 614000 650375 650848 660050 665500 665984 675400 681472 688000 704000 726055 739600 742940 756800 774400 785920 813560 817234 832480 844250 844864 851840 864512 894916 915728 924500 928675 946000 946688 968000 982400 1016950 1040600 1056080 1064800 1080640 1118645 1135286 1144660 1161688 1183360 1188704 1210880 1228000 1300750 1301696 1320100 1331000 1331968 1350800 1376000 1430825 1452110 1479200 1485880 1513600 1548800 1597321 1627120 1634468 1650125 1664960 1688500 1689728 1703680 1729024 1789832 1831456 1849000 1857350 1892000 1936000 1964800 2033900 2043085 2081200 2112160 2129600 2161280 2237290 2270572 2289320 2323376 2366720 2377408 2456000 2461019 2542375 2601500 2603392 2640200 2662000 2663936 2701600 2752000 2838215 2861650 2904220 2958400 2971760 3027200 3194642 3254240 3268936 3300250 3329920 3377000 3379456 3407360 3579664 3630275 3662912 3698000 3714700 3784000 3872000 3929600 4067800 4086170 4162400 4224320 4259200 4322560 4474580 4541144 4578640 4643375 4646752 4733440 4754816 4912000 4922038 5084750 5203000 5206784 5280400 5324000 5403200 5593225 5676430 5723300 5808440 5916800 5943520 6054400 6244073 6389284 6508480 6537872 6600500 6659840 6754000 6758912 7154125 7159328 7260550 7325824 7396000 7429400 7568000 7744000 7986605 8135600 8172340 8324800 8448640 8518400 8645120 8949160 9082288 9157280 9286750 9293504 9509632 9824000 9844076 10169500 10215425 10406000 10413568 10560800 10648000 10806400 11186450 11352860 11446600 11616880 11833600 11887040 12305095 12488146 12778568 13016960 13075744 13201000 13319680 13508000 14191075 14308250 14318656 14521100 14651648 14792000 14858800 15136000 15973210 16271200 16344680 16649600 16897280 17036800 17570531 17898320 18151375 18164576 18314560 18573500 18587008 19019264 19648000 19688152 20339000 20430850 20812000 21121600 21296000 21612800 22372900 22705720 22893200 23233760 23667200 23774080 24610190 24976292 25557136 26033920 26151488 26402000 27016000 27966125 28382150 28616500 28637312 29042200 29303296 29584000 29717600 30272000 31220365 31946420 32542400 32689360 33299200 33794560 35141062 35796640 36302750 36329152 36629120 37147000 37174016 39376304 39933025 40678000 40861700 41624000 42243200 42592000 43225600 44745800 45411440 45786400 46467520 47548160 49220380 49952584 51077125 51114272 52067840 52302976 52804000 54032000 55932250 56764300 57233000 57274624 58084400 59168000 59435200 61525475 62440730 63892840 65084800 65378720 66598400 68684803 70282124 70955375 71593280 72605500 72658304 73258240 74294000 74348032 78752608 79866050 81356000 81723400 83248000 84486400 85184000 87852655 89491600 90822880 91572800 92935040 95096320 98440760 99905168 102154250 102228544 104605952 105608000 108064000 111864500 113528600 114466000 114549248 116168800 118336000 118870400 123050950 124881460 127785680 130169600 130757440 137369606 140564248 141910750 143186560 145211000 145316608 146516480 148588000 156101825 157505216 159732100 162712000 163446800 166496000 168972800 175705310 178983200 181645760 183145600 185870080 196881520 199665125 199810336 204308500 204457088 209211904 211216000 216128000 223729000 227057200 228932000 232337600 237740800 246101900 249762920 255571360 260339200 261514880 274739212 281128496 283821500 286373120 290422000 290633216 297176000 307627375 312203650 315010432 319464200 325424000 326893600 332992000 343424015 351410620 357966400 363291520 366291200 371740160 393763040 399330250 399620672 408617000 408914176 422432000 439263275 447458000 454114400 457864000 464675200 475481600 492203800 499525840 511142720 523029760 549478424 562256992 567643000 572746240 580844000 594352000 615254750 624407300 630020864 638928400 650848000 653787200 686848030 702821240 715932800 726583040 732582400 755532833 780509125 787526080 798660500 799241344 817234000 817828352 844864000 878526550 894916000 908228800 915728000 929350400 984407600 999051680 1022285440 1046059520 1098956848 1124513984 1135286000 1161688000 1188704000 1230509500 1248814600 1260041728 1277856800 1301696000 1307574400 1373696060 1405642480 1431865600 1453166080 1511065666 1561018250 1575052160 1597321000 1598482688 1634468000 1717120075 1757053100 1789832000 1816457600 1831456000 1858700800 1968815200 1998103360 2044570880 2196316375 2197913696 2249027968 2270572000 2323376000 2377408000 2461019000 2497629200 2555713600 2615148800 2747392120 2811284960 2863731200 3022131332 3122036500 3150104320 3194642000 3196965376 3268936000 3434240150 3514106200 3579664000 3632915200 3662912000 3777664165 3937630400 3996206720 4089141760 4392632750 4395827392 4498055936 4541144000 4646752000 4922038000 4995258400 5111427200 5230297600 5494784240 5622569920 6044262664 6244073000 6300208640 6389284000 6537872000 6868480300 7028212400 7159328000 7265830400 7555328330 7875260800 7992413440 8585600375 8785265500 8791654784 8996111872 9082288000 9293504000 9844076000 9990516800 10222854400 10989568480 11245139840 12088525328 12488146000 12778568000 13075744000 13736960600 14056424800 14318656000 15110656660 15750521600 15984826880 17171200750 17570531000 17583309568 18164576000 18888320825 19688152000 19981033600 20445708800 21979136960 22490279680 24177050656 24976292000 25557136000 26151488000 27473921200 28112849600 30221313320 31501043200 34342401500 35141062000 35166619136 36329152000 37776641650 39376304000 39962067200 43958273920 44980559360 48354101312 49952584000 51114272000 54947842400 56225699200 60442626640 68684803000 70282124000 75553283300 78752608000 79924134400 87916547840 94441604125 96708202624 99905168000 102228544000 109895684800 112451398400 120885253280 137369606000 140564248000 151106566600 157505216000 175833095680 188883208250 193416405248 199810336000 219791369600 224902796800 241770506560 274739212000 281128496000 302213133200 377766416500 386832810496 399620672000 439582739200 483541013120 549478424000 562256992000 604426266400 755532833000 879165478400 967082026240 1098956848000 1124513984000 1208852532800 1511065666000 1934164052480 2197913696000 2417705065600 3022131332000 4395827392000 4835410131200 6044262664000 9670820262400 12088525328000 24177050656000 48354101312000
- Sum of all divisors σ(n): 136220553076608
- Sum of proper divisors (its aliquot sum) s(n): 87866451764608
- 48354101312000 is an abundant number, because the sum of its proper divisors (87866451764608) is greater than itself. Its abundance is 39512350452608
Bases of 48354101312000
- Binary: 10101111111010010100010000100000111010000000002
- Hexadecimal: 0x2BFA51083A00
- Base-36: H51KFGE0W
Squares and roots of 48354101312000
- 48354101312000 squared (483541013120002) is 2338119113691160121344000000
- 48354101312000 cubed (483541013120003) is 113057648502946002786281989603328000000000
-
The
square root of 48354101312000 is 6953711.3336692371 -
The
cube root of 48354101312000 is 36431.5603267125
Scales and comparisons
How big is 48354101312000?- 48,354,101,312,000 seconds is equal to 1,537,510 years, 44 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 48,354,101,312,000 would take you about three million, eight hundred forty-three thousand, seven hundred seventy-seven 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 48354101312000 cubic inches would be around 3036 feet tall.
Recreational maths with 48354101312000
- 48354101312000 backwards is 00021310145384
- 48354101312000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48354101312000's digits is 32
- More coming soon!
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The information we have on file for 48354101312000 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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