38144825483040000
38,144,825,483,040,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 38144825483040000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 810 divisors.
38144825483040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 38144825483040000:
28 × 32 × 54 × 29 × 302232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 29 × 30223 × 30223)See below for interesting mathematical facts about the number 38144825483040000 from the Numbermatics database.
Names of 38144825483040000
- Cardinal: 38144825483040000 can be written as Thirty-eight quadrillion, one hundred forty-four trillion, eight hundred twenty-five billion, four hundred eighty-three million, forty thousand.
Scientific notation
- Scientific notation: 3.814482548304 × 1016
Factors of 38144825483040000
Divisors of 38144825483040000
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 64 72 75 80 87 90 96 100 116 120 125 128 144 145 150 160 174 180 192 200 225 232 240 250 256 261 288 290 300 320 348 360 375 384 400 435 450 464 480 500 522 576 580 600 625 640 696 720 725 750 768 800 870 900 928 960 1000 1044 1125 1152 1160 1200 1250 1280 1305 1392 1440 1450 1500 1600 1740 1800 1856 1875 1920 2000 2088 2175 2250 2304 2320 2400 2500 2610 2784 2880 2900 3000 3200 3480 3600 3625 3712 3750 3840 4000 4176 4350 4500 4640 4800 5000 5220 5568 5625 5760 5800 6000 6400 6525 6960 7200 7250 7424 7500 8000 8352 8700 9000 9280 9600 10000 10440 10875 11136 11250 11520 11600 12000 13050 13920 14400 14500 15000 16000 16704 17400 18000 18125 18560 19200 20000 20880 21750 22272 22500 23200 24000 26100 27840 28800 29000 30000 30223 32000 32625 33408 34800 36000 36250 37120 40000 41760 43500 45000 46400 48000 52200 54375 55680 57600 58000 60000 60446 65250 66816 69600 72000 72500 80000 83520 87000 90000 90669 92800 96000 104400 108750 111360 116000 120000 120892 130500 139200 144000 145000 151115 160000 163125 167040 174000 180000 181338 185600 208800 217500 232000 240000 241784 261000 272007 278400 288000 290000 302230 326250 334080 348000 360000 362676 417600 435000 453345 464000 480000 483568 522000 544014 556800 580000 604460 652500 696000 720000 725352 755575 835200 870000 876467 906690 928000 967136 1044000 1088028 1160000 1208920 1305000 1360035 1392000 1440000 1450704 1511150 1670400 1740000 1752934 1813380 1934272 2088000 2176056 2266725 2320000 2417840 2610000 2629401 2720070 2784000 2901408 3022300 3480000 3505868 3626760 3777875 3868544 4176000 4352112 4382335 4533450 4640000 4835680 5220000 5258802 5440140 5802816 6044600 6800175 6960000 7011736 7253520 7555750 7737088 7888203 8352000 8704224 8764670 9066900 9671360 10440000 10517604 10880280 11333625 11605632 12089200 13147005 13600350 13920000 14023472 14507040 15111500 15776406 17408448 17529340 18133800 18889375 19342720 20880000 21035208 21760560 21911675 22667250 23211264 24178400 26294010 27200700 28046944 29014080 30223000 31552812 34000875 34816896 35058680 36267600 37778750 38685440 39441015 41760000 42070416 43521120 43823350 45334500 48356800 52588020 54401400 56093888 56668125 58028160 60446000 63105624 65735025 68001750 69633792 70117360 72535200 75557500 78882030 84140832 87042240 87646700 90669000 96713600 105176040 108802800 109558375 112187776 113336250 116056320 120892000 126211248 131470050 136003500 140234720 145070400 151115000 157764060 168281664 170004375 174084480 175293400 181338000 193427200 197205075 210352080 217605600 219116750 224375552 226672500 241784000 252422496 262940100 272007000 280469440 290140800 302230000 315528120 328675125 336563328 340008750 348168960 350586800 362676000 394410150 420704160 435211200 438233500 453345000 483568000 504844992 525880200 544014000 547791875 560938880 580281600 604460000 631056240 657350250 673126656 680017500 701173600 725352000 788820300 841408320 870422400 876467000 906690000 913429729 967136000 986025375 1009689984 1051760400 1088028000 1095583750 1121877760 1208920000 1262112480 1314700500 1360035000 1402347200 1450704000 1577640600 1643375625 1682816640 1740844800 1752934000 1813380000 1826859458 1972050750 2019379968 2103520800 2176056000 2191167500 2417840000 2524224960 2629401000 2720070000 2740289187 2804694400 2901408000 3155281200 3286751250 3365633280 3505868000 3626760000 3653718916 3944101500 4207041600 4352112000 4382335000 4567148645 4835680000 4930126875 5048449920 5258802000 5440140000 5480578374 5609388800 6310562400 6573502500 7011736000 7253520000 7307437832 7888203000 8220867561 8414083200 8704224000 8764670000 9134297290 9860253750 10096899840 10517604000 10880280000 10961156748 12621124800 13147005000 13701445935 14023472000 14507040000 14614875664 15776406000 16441735122 16828166400 17529340000 18268594580 19720507500 21035208000 21760560000 21922313496 22835743225 25242249600 26294010000 26489462141 27402891870 28046944000 29229751328 31552812000 32883470244 35058680000 36537189160 39441015000 41104337805 42070416000 43521120000 43844626992 45671486450 50484499200 52588020000 52978924282 54805783740 58459502656 63105624000 65766940488 68507229675 70117360000 73074378320 78882030000 79468386423 82208675610 84140832000 87689253984 91342972900 105176040000 105957848564 109611567480 114178716125 116919005312 126211248000 131533880976 132447310705 137014459350 140234720000 146148756640 157764060000 158936772846 164417351220 175378507968 182685945800 205521689025 210352080000 211915697128 219223134960 228357432250 233838010624 238405159269 252422496000 263067761952 264894621410 274028918700 292297513280 315528120000 317873545692 328834702440 342536148375 350757015936 365371891600 397341932115 411043378050 420704160000 423831394256 438446269920 456714864500 476810318538 526135523904 529789242820 548057837400 570893580625 584595026560 631056240000 635747091384 657669404880 662236553525 685072296750 701514031872 730743783200 794683864230 822086756100 847662788512 876892539840 913429729000 953620637076 1027608445125 1052271047808 1059578485640 1096115674800 1141787161250 1169190053120 1192025796345 1262112480000 1271494182768 1315338809760 1324473107050 1370144593500 1461487566400 1589367728460 1644173512200 1695325577024 1712680741875 1753785079680 1826859458000 1907241274152 1986709660575 2055216890250 2104542095616 2119156971280 2192231349600 2283574322500 2384051592690 2542988365536 2630677619520 2648946214100 2740289187000 2922975132800 3178735456920 3288347024400 3311182767625 3390651154048 3425361483750 3507570159360 3653718916000 3814482548304 3973419321150 4110433780500 4238313942560 4384462699200 4567148645000 4768103185380 5085976731072 5138042225625 5261355239040 5297892428200 5480578374000 5845950265600 5960128981725 6357470913840 6576694048800 6622365535250 6781302308096 6850722967500 7307437832000 7628965096608 7946838642300 8220867561000 8476627885120 8768925398400 9134297290000 9536206370760 9933548302875 10171953462144 10276084451250 10522710478080 10595784856400 10961156748000 11920257963450 12714941827680 13153388097600 13244731070500 13701445935000 14614875664000 15257930193216 15893677284600 16441735122000 16555913838125 16953255770240 17537850796800 18268594580000 19072412741520 19867096605750 20343906924288 20552168902500 21191569712800 21922313496000 23840515926900 25429883655360 26306776195200 26489462141000 27402891870000 29229751328000 29800644908625 30515860386432 31787354569200 32883470244000 33111827676250 33906511540480 36537189160000 38144825483040 39734193211500 41104337805000 42383139425600 43844626992000 47681031853800 49667741514375 50859767310720 52613552390400 52978924282000 54805783740000 59601289817250 61031720772864 63574709138400 65766940488000 66223655352500 73074378320000 76289650966080 79468386423000 82208675610000 84766278851200 87689253984000 95362063707600 99335483028750 101719534621440 105957848564000 109611567480000 119202579634500 127149418276800 131533880976000 132447310705000 146148756640000 149003224543125 152579301932160 158936772846000 164417351220000 169532557702400 190724127415200 198670966057500 211915697128000 219223134960000 238405159269000 254298836553600 263067761952000 264894621410000 298006449086250 305158603864320 317873545692000 328834702440000 381448254830400 397341932115000 423831394256000 438446269920000 476810318538000 508597673107200 529789242820000 596012898172500 635747091384000 657669404880000 762896509660800 794683864230000 847662788512000 953620637076000 1059578485640000 1192025796345000 1271494182768000 1315338809760000 1525793019321600 1589367728460000 1907241274152000 2119156971280000 2384051592690000 2542988365536000 3178735456920000 3814482548304000 4238313942560000 4768103185380000 6357470913840000 7628965096608000 9536206370760000 12714941827680000 19072412741520000 38144825483040000
- Sum of all divisors σ(n): 142175921980061970
- Sum of proper divisors (its aliquot sum) s(n): 104031096497021970
- 38144825483040000 is an abundant number, because the sum of its proper divisors (104031096497021970) is greater than itself. Its abundance is 65886271013981970
Bases of 38144825483040000
- Binary: 100001111000010010000100010001001110111110010101000000002
- Hexadecimal: 0x87848444EF9500
- Base-36: AFL7MWUE680
Squares and roots of 38144825483040000
- 38144825483040000 squared (381448254830400002) is 1455027711131577769327641600000000
- 38144825483040000 cubed (381448254830400003) is 55501778114101171569890582190743998464000000000000
-
The
square root of 38144825483040000 is 195307003.1592313385 -
The
cube root of 38144825483040000 is 336624.1042428219
Scales and comparisons
How big is 38144825483040000?- 38,144,825,483,040,000 seconds is equal to 1,212,887,460 years, 34 weeks, 5 days, 8 hours.
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To count from 1 to 38,144,825,483,040,000 would take you about three billion, six hundred thirty-eight million, six hundred sixty-two thousand, three hundred eighty-two 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 38144825483040000 cubic inches would be around 28052 feet tall.
Recreational maths with 38144825483040000
- 38144825483040000 backwards is 00004038452844183
- The number of decimal digits it has is: 17
- The sum of 38144825483040000's digits is 54
- More coming soon!
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The information we have on file for 38144825483040000 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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