3948242688000
3,948,242,688,000 is an even composite number composed of six prime numbers multiplied together.
3948242688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 3948242688000:
211 × 32 × 53 × 13 × 193 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 193 × 683)See below for interesting mathematical facts about the number 3948242688000 from the Numbermatics database.
Names of 3948242688000
- Cardinal: 3948242688000 can be written as Three trillion, nine hundred forty-eight billion, two hundred forty-two million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 3.948242688 × 1012
Factors of 3948242688000
Divisors of 3948242688000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 193 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 386 390 400 416 450 468 480 500 512 520 576 579 585 600 624 640 650 683 720 750 768 772 780 800 832 900 936 960 965 975 1000 1024 1040 1125 1152 1158 1170 1200 1248 1280 1300 1366 1440 1500 1536 1544 1560 1600 1625 1664 1737 1800 1872 1920 1930 1950 2000 2048 2049 2080 2250 2304 2316 2340 2400 2496 2509 2560 2600 2732 2880 2895 2925 3000 3072 3088 3120 3200 3250 3328 3415 3474 3600 3744 3840 3860 3900 4000 4098 4160 4500 4608 4632 4680 4800 4825 4875 4992 5018 5120 5200 5464 5760 5790 5850 6000 6144 6147 6176 6240 6400 6500 6656 6830 6948 7200 7488 7527 7680 7720 7800 8000 8196 8320 8685 8879 9000 9216 9264 9360 9600 9650 9750 9984 10036 10240 10245 10400 10928 11520 11580 11700 12000 12294 12352 12480 12545 12800 13000 13312 13660 13896 14400 14475 14625 14976 15054 15360 15440 15600 16000 16392 16640 17075 17370 17758 18000 18432 18528 18720 19200 19300 19500 19968 20072 20490 20800 21856 22581 23040 23160 23400 24000 24125 24588 24704 24960 25090 25600 26000 26624 26637 27320 27792 28800 28950 29250 29952 30108 30720 30735 30880 31200 32000 32784 33280 34150 34740 35516 36000 37056 37440 37635 38400 38600 39000 39936 40144 40980 41600 43425 43712 44395 45162 46080 46320 46800 48000 48250 49176 49408 49920 50180 51200 51225 52000 53274 54640 55584 57600 57900 58500 59904 60216 61470 61760 62400 62725 64000 65568 66560 68300 69480 71032 72000 72375 74112 74880 75270 76800 77200 78000 79872 79911 80288 81960 83200 85375 86850 87424 88790 90324 92160 92640 93600 96000 96500 98352 98816 99840 100360 102450 104000 106548 109280 111168 112905 115200 115800 117000 119808 120432 122940 123520 124800 125450 128000 131136 131819 133120 133185 136600 138960 142064 144000 144750 148224 149760 150540 153600 153675 154400 156000 159822 160576 163920 166400 170750 173700 174848 177580 180648 185280 187200 188175 192000 193000 196704 197632 199680 200720 204900 208000 213096 217125 218560 221975 222336 225810 230400 231600 234000 239616 240864 245880 247040 249600 250900 256000 256125 262272 263638 266370 273200 277920 284128 288000 289500 296448 299520 301080 307350 308800 312000 313625 319644 321152 327840 332800 341500 347400 349696 355160 361296 370560 374400 376350 384000 386000 393408 395264 395457 399360 399555 401440 409800 416000 426192 434250 437120 443950 444672 451620 460800 463200 468000 481728 491760 494080 499200 501800 512250 524544 527276 532740 546400 555840 564525 568256 576000 579000 592896 599040 602160 614700 617600 624000 627250 639288 642304 655680 659095 665600 665925 683000 694800 699392 710320 722592 741120 748800 752700 768000 768375 772000 786816 790914 799110 802880 819600 832000 852384 868500 874240 887900 889344 903240 926400 936000 940875 963456 983520 988160 998400 1003600 1024500 1049088 1054552 1065480 1092800 1109875 1111680 1129050 1136512 1152000 1158000 1185792 1186371 1198080 1204320 1229400 1235200 1248000 1254500 1278576 1284608 1311360 1318190 1331850 1366000 1389600 1398784 1420640 1445184 1482240 1497600 1505400 1536750 1544000 1573632 1581828 1598220 1605760 1639200 1664000 1704768 1713647 1737000 1748480 1775800 1778688 1806480 1852800 1872000 1881750 1926912 1967040 1976320 1977285 1996800 1997775 2007200 2049000 2098176 2109104 2130960 2185600 2219750 2223360 2258100 2273024 2304000 2316000 2372742 2408640 2458800 2470400 2496000 2509000 2557152 2569216 2622720 2636380 2663700 2732000 2779200 2822625 2841280 2890368 2964480 2995200 3010800 3073500 3088000 3147264 3163656 3196440 3211520 3278400 3295475 3328000 3329625 3409536 3427294 3474000 3496960 3551600 3557376 3612960 3705600 3744000 3763500 3853824 3934080 3954570 3995550 4014400 4098000 4196352 4218208 4261920 4371200 4439500 4446720 4516200 4546048 4632000 4745484 4817280 4917600 4940800 4992000 5018000 5114304 5138432 5140941 5245440 5272760 5327400 5464000 5558400 5645250 5682560 5780736 5928960 5931855 5990400 6021600 6147000 6176000 6294528 6327312 6392880 6423040 6556800 6590950 6659250 6819072 6854588 6948000 6993920 7103200 7225920 7411200 7488000 7527000 7707648 7868160 7909140 7991100 8028800 8196000 8436416 8523840 8568235 8742400 8879000 8893440 9032400 9092096 9264000 9490968 9634560 9835200 9881600 9886425 9984000 9988875 10036000 10228608 10281882 10490880 10545520 10654800 10928000 11116800 11290500 11365120 11561472 11863710 12043200 12294000 12352000 12589056 12654624 12785760 12846080 13113600 13181900 13318500 13638144 13709176 13896000 14206400 14451840 14822400 14976000 15054000 15415296 15422823 15736320 15818280 15982200 16057600 16392000 16477375 16872832 17047680 17136470 17484800 17758000 17786880 18064800 18184192 18528000 18981936 19269120 19670400 19772850 19977750 20072000 20457216 20563764 20981760 21091040 21309600 21856000 22233600 22581000 22730240 23122944 23727420 24086400 24588000 24704000 25309248 25571520 25692160 25704705 26227200 26363800 26637000 27276288 27418352 27792000 28412800 28903680 29644800 29659275 29952000 30108000 30845646 31472640 31636560 31964400 32115200 32784000 32954750 33745664 34095360 34272940 34969600 35516000 36129600 37056000 37963872 38538240 39340800 39545700 39955500 40144000 40914432 41127528 42182080 42619200 42841175 43712000 44467200 45162000 45460480 46245888 47454840 48172800 49176000 49408000 49432125 50618496 51143040 51409410 52454400 52727600 53274000 54552576 54836704 55584000 56825600 57807360 59318550 60216000 61691292 62945280 63273120 63928800 64230400 65568000 65909500 67491328 68190720 68545880 71032000 72259200 74112000 75927744 77076480 77114115 78681600 79091400 79911000 80288000 81828864 82255056 84364160 85238400 85682350 87424000 88934400 90324000 90920960 94909680 96345600 98352000 98864250 101236992 102286080 102818820 104908800 105455200 106548000 109673408 111168000 113651200 115614720 118637100 120432000 123382584 126546240 127857600 128460800 128523525 131136000 131819000 134982656 136381440 137091760 142064000 144518400 148224000 148296375 151855488 154228230 157363200 158182800 159822000 160576000 163657728 164510112 168728320 170476800 171364700 174848000 180648000 189819360 192691200 196704000 197728500 202473984 204572160 205637640 210910400 213096000 214205875 219346816 222336000 227302400 231229440 237274200 240864000 246765168 253092480 255715200 257047050 262272000 263638000 269965312 272762880 274183520 284128000 289036800 296592750 303710976 308456460 314726400 316365600 319644000 321152000 329020224 337456640 340953600 342729400 361296000 379638720 385382400 385570575 393408000 395457000 404947968 409144320 411275280 421820800 426192000 428411750 438693632 444672000 454604800 474548400 481728000 493530336 506184960 511430400 514094100 524544000 527276000 548367040 568256000 578073600 593185500 607421952 616912920 632731200 639288000 642304000 642617625 658040448 674913280 681907200 685458800 722592000 759277440 771141150 786816000 790914000 809895936 818288640 822550560 843641600 852384000 856823500 877387264 949096800 963456000 987060672 1012369920 1022860800 1028188200 1054552000 1096734080 1136512000 1156147200 1186371000 1214843904 1233825840 1265462400 1278576000 1285235250 1316080896 1349826560 1363814400 1370917600 1445184000 1518554880 1542282300 1573632000 1581828000 1645101120 1687283200 1704768000 1713647000 1754774528 1898193600 1926912000 1927852875 1974121344 2024739840 2045721600 2056376400 2109104000 2193468160 2273024000 2372742000 2429687808 2467651680 2530924800 2557152000 2570470500 2632161792 2741835200 2890368000 3037109760 3084564600 3163656000 3290202240 3374566400 3409536000 3427294000 3509549056 3796387200 3855705750 3948242688 4049479680 4091443200 4112752800 4218208000 4386936320 4745484000 4935303360 5061849600 5114304000 5140941000 5264323584 5483670400 5780736000 6074219520 6169129200 6327312000 6580404480 6749132800 6819072000 6854588000 7592774400 7711411500 7896485376 8225505600 8436416000 8773872640 9490968000 9870606720 10123699200 10228608000 10281882000 10528647168 10967340800 12148439040 12338258400 12654624000 13160808960 13709176000 15185548800 15422823000 15792970752 16451011200 16872832000 17547745280 18981936000 19741213440 20247398400 20457216000 20563764000 21934681600 24676516800 25309248000 26321617920 27418352000 30371097600 30845646000 31585941504 32902022400 33745664000 37963872000 39482426880 41127528000 43869363200 49353033600 50618496000 52643235840 54836704000 60742195200 61691292000 65804044800 75927744000 78964853760 82255056000 87738726400 98706067200 101236992000 109673408000 123382584000 131608089600 151855488000 157929707520 164510112000 197412134400 219346816000 246765168000 263216179200 303710976000 329020224000 394824268800 438693632000 493530336000 658040448000 789648537600 987060672000 1316080896000 1974121344000 3948242688000
- Sum of all divisors σ(n): 15427932287040
- Sum of proper divisors (its aliquot sum) s(n): 11479689599040
- 3948242688000 is an abundant number, because the sum of its proper divisors (11479689599040) is greater than itself. Its abundance is 7531446911040
Bases of 3948242688000
- Binary: 1110010111010001011001101001011000000000002
- Hexadecimal: 0x397459A5800
- Base-36: 1EDSPR7K0
Squares and roots of 3948242688000
- 3948242688000 squared (39482426880002) is 15588620323345465344000000
- 3948242688000 cubed (39482426880003) is 61547656207656929242405404672000000000
-
The
square root of 3948242688000 is 1987018.5424399037 -
The
cube root of 3948242688000 is 15805.2467326533
Scales and comparisons
How big is 3948242688000?- 3,948,242,688,000 seconds is equal to 125,541 years, 47 weeks, 8 hours.
-
To count from 1 to 3,948,242,688,000 would take you about three hundred thirteen thousand, eight hundred fifty-four 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 3948242688000 cubic inches would be around 1317.1 feet tall.
Recreational maths with 3948242688000
- 3948242688000 backwards is 0008862428493
- The number of decimal digits it has is: 13
- The sum of 3948242688000's digits is 54
- More coming soon!
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The information we have on file for 3948242688000 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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