48972231003340800
48,972,231,003,340,800 is an even composite number composed of five prime numbers multiplied together.
48972231003340800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 48972231003340800:
220 × 32 × 52 × 53 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 48972231003340800 from the Numbermatics database.
Names of 48972231003340800
- Cardinal: 48972231003340800 can be written as Forty-eight quadrillion, nine hundred seventy-two trillion, two hundred thirty-one billion, three million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.89722310033408 × 1016
Factors of 48972231003340800
Divisors of 48972231003340800
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 192 200 212 225 240 256 265 288 300 318 320 360 384 400 424 450 477 480 512 530 576 600 636 640 720 768 795 800 848 900 954 960 1024 1060 1152 1200 1272 1280 1325 1440 1536 1590 1600 1696 1800 1908 1920 1979 2048 2120 2304 2385 2400 2544 2560 2650 2880 3072 3180 3200 3392 3600 3816 3840 3958 3975 4096 4240 4608 4770 4800 5088 5120 5300 5760 5937 6144 6360 6400 6784 7200 7632 7680 7916 7950 8192 8480 9216 9540 9600 9895 10176 10240 10600 11520 11874 11925 12288 12720 12800 13568 14400 15264 15360 15832 15900 16384 16960 17811 18432 19080 19200 19790 20352 20480 21200 23040 23748 23850 24576 25440 25600 27136 28800 29685 30528 30720 31664 31800 32768 33920 35622 36864 38160 38400 39580 40704 40960 42400 46080 47496 47700 49152 49475 50880 51200 54272 57600 59370 61056 61440 63328 63600 65536 67840 71244 73728 76320 76800 79160 81408 81920 84800 89055 92160 94992 95400 98304 98950 101760 102400 104887 108544 115200 118740 122112 122880 126656 127200 131072 135680 142488 147456 148425 152640 153600 158320 162816 163840 169600 178110 184320 189984 190800 196608 197900 203520 204800 209774 217088 230400 237480 244224 245760 253312 254400 262144 271360 284976 294912 296850 305280 307200 314661 316640 325632 327680 339200 356220 368640 379968 381600 393216 395800 407040 409600 419548 434176 445275 460800 474960 488448 491520 506624 508800 524288 524435 542720 569952 589824 593700 610560 614400 629322 633280 651264 655360 678400 712440 737280 759936 763200 786432 791600 814080 819200 839096 868352 890550 921600 943983 949920 976896 983040 1013248 1017600 1048576 1048870 1085440 1139904 1179648 1187400 1221120 1228800 1258644 1266560 1302528 1310720 1356800 1424880 1474560 1519872 1526400 1572864 1573305 1583200 1628160 1638400 1678192 1736704 1781100 1843200 1887966 1899840 1953792 1966080 2026496 2035200 2097740 2170880 2279808 2359296 2374800 2442240 2457600 2517288 2533120 2605056 2621440 2622175 2713600 2849760 2949120 3039744 3052800 3145728 3146610 3166400 3256320 3276800 3356384 3473408 3562200 3686400 3775932 3799680 3907584 3916441 3932160 4052992 4070400 4195480 4341760 4559616 4718592 4719915 4749600 4884480 4915200 5034576 5066240 5210112 5242880 5244350 5427200 5699520 5898240 6079488 6105600 6293220 6332800 6512640 6553600 6712768 6946816 7124400 7372800 7551864 7599360 7815168 7832882 7864320 7866525 8105984 8140800 8390960 8683520 9119232 9437184 9439830 9499200 9768960 9830400 10069152 10132480 10420224 10488700 10854400 11399040 11749323 11796480 12158976 12211200 12586440 12665600 13025280 13107200 13425536 13893632 14248800 14745600 15103728 15198720 15630336 15665764 15728640 15733050 16211968 16281600 16781920 17367040 18238464 18879660 18998400 19537920 19582205 19660800 20138304 20264960 20840448 20977400 21708800 22798080 23498646 23592960 23599575 24317952 24422400 25172880 25331200 26050560 26214400 26851072 27787264 28497600 29491200 30207456 30397440 31260672 31331528 31466100 32423936 32563200 33563840 34734080 35247969 36476928 37759320 37996800 39075840 39164410 39321600 40276608 40529920 41680896 41954800 43417600 45596160 46997292 47185920 47199150 48635904 48844800 50345760 50662400 52101120 53702144 55574528 56995200 58746615 58982400 60414912 60794880 62521344 62663056 62932200 64847872 65126400 67127680 69468160 70495938 72953856 75518640 75993600 78151680 78328820 78643200 80553216 81059840 83361792 83909600 86835200 91192320 93994584 94398300 97271808 97689600 97911025 100691520 101324800 104202240 107404288 113990400 117493230 117964800 120829824 121589760 125042688 125326112 125864400 129695744 130252800 134255360 138936320 140991876 145907712 151037280 151987200 156303360 156657640 161106432 162119680 166723584 167819200 173670400 176239845 182384640 187989168 188796600 194543616 195379200 195822050 201383040 202649600 207571373 208404480 214808576 227980800 234986460 235929600 241659648 243179520 250085376 250652224 251728800 259391488 260505600 268510720 277872640 281983752 291815424 293733075 302074560 303974400 312606720 313315280 322212864 324239360 335638400 347340800 352479690 364769280 375978336 377593200 389087232 390758400 391644100 402766080 405299200 415142746 416808960 429617152 455961600 469972920 483319296 486359040 500170752 501304448 503457600 518782976 521011200 537021440 563967504 583630848 587466150 604149120 607948800 622714119 625213440 626630560 644425728 648478720 671276800 694681600 704959380 729538560 751956672 755186400 778174464 781516800 783288200 805532160 810598400 830285492 833617920 859234304 881199225 911923200 939945840 966638592 972718080 1002608896 1006915200 1037565952 1037856865 1042022400 1074042880 1127935008 1167261696 1174932300 1208298240 1215897600 1245428238 1250426880 1253261120 1288851456 1296957440 1342553600 1389363200 1409918760 1459077120 1503913344 1510372800 1556348928 1563033600 1566576400 1611064320 1621196800 1660570984 1718468608 1762398450 1823846400 1868142357 1879891680 1933277184 1945436160 2005217792 2013830400 2075131904 2075713730 2084044800 2148085760 2255870016 2334523392 2349864600 2416596480 2431795200 2490856476 2500853760 2506522240 2577702912 2593914880 2685107200 2819837520 2918154240 3007826688 3020745600 3112697856 3113570595 3126067200 3133152800 3222128640 3242393600 3321141968 3436937216 3524796900 3647692800 3736284714 3759783360 3866554368 3890872320 4010435584 4027660800 4151427460 4168089600 4296171520 4511740032 4669046784 4699729200 4833192960 4863590400 4981712952 5013044480 5155405824 5187829760 5189284325 5370214400 5639675040 5836308480 6015653376 6041491200 6225395712 6227141190 6252134400 6266305600 6444257280 6484787200 6642283936 6873874432 7049593800 7295385600 7472569428 7519566720 7733108736 7781744640 8020871168 8055321600 8302854920 8592343040 9023480064 9338093568 9340711785 9399458400 9666385920 9727180800 9963425904 10026088960 10310811648 10375659520 10378568650 10740428800 11279350080 11672616960 12031306752 12082982400 12454282380 12504268800 12532611200 12888514560 12969574400 13284567872 13747748864 14099187600 14590771200 14945138856 15039133440 15466217472 15563489280 15567852975 16041742336 16110643200 16605709840 17184686080 18046960128 18676187136 18681423570 18798916800 19332771840 19454361600 19926851808 20052177920 20621623296 20757137300 21480857600 22558700160 23345233920 24062613504 24165964800 24908564760 25065222400 25777029120 25939148800 26569135744 27495497728 28198375200 29181542400 29890277712 30078266880 30932434944 31126978560 31135705950 32083484672 32221286400 33211419680 34369372160 36093920256 37362847140 37597833600 38665543680 38908723200 39853703616 40104355840 41243246592 41514274600 42961715200 45117400320 46690467840 46703558925 48125227008 48331929600 49817129520 50130444800 51554058240 51878297600 53138271488 54990995456 56396750400 58363084800 59780555424 60156533760 61864869888 62271411900 64166969344 64442572800 66422839360 68738744320 72187840512 74725694280 75195667200 77331087360 77817446400 79707407232 80208711680 82486493184 83028549200 85923430400 90234800640 93380935680 93407117850 96250454016 96663859200 99634259040 100260889600 103108116480 106276542976 109981990912 112793500800 116726169600 119561110848 120313067520 123729739776 124542823800 128333938688 128885145600 132845678720 137477488640 144375681024 149451388560 150391334400 154662174720 155634892800 159414814464 160417423360 164972986368 166057098400 171846860800 180469601280 186814235700 192500908032 193327718400 199268518080 200521779200 206216232960 212553085952 225587001600 233452339200 239122221696 240626135040 247459479552 249085647600 256667877376 257770291200 265691357440 274954977280 288751362048 298902777120 300782668800 309324349440 318829628928 320834846720 329945972736 332114196800 343693721600 360939202560 373628471400 385001816064 386655436800 398537036160 401043558400 412432465920 425106171904 451174003200 466904678400 478244443392 481252270080 494918959104 498171295200 513335754752 515540582400 531382714880 549909954560 577502724096 597805554240 601565337600 618648698880 637659257856 641669693440 664228393600 687387443200 721878405120 747256942800 770003632128 773310873600 797074072320 802087116800 824864931840 850212343808 902348006400 956488886784 962504540160 989837918208 996342590400 1026671509504 1031081164800 1062765429760 1155005448192 1195611108480 1203130675200 1237297397760 1275318515712 1283339386880 1328456787200 1374774886400 1443756810240 1494513885600 1540007264256 1546621747200 1594148144640 1604174233600 1649729863680 1700424687616 1804696012800 1912977773568 1925009080320 1992685180800 2053343019008 2062162329600 2125530859520 2310010896384 2391222216960 2406261350400 2474594795520 2550637031424 2566678773760 2656913574400 2749549772800 2887513620480 2989027771200 3080014528512 3093243494400 3188296289280 3208348467200 3400849375232 3609392025600 3825955547136 3850018160640 3985370361600 4106686038016 4124324659200 4251061719040 4620021792768 4782444433920 4812522700800 4949189591040 5101274062848 5133357547520 5313827148800 5775027240960 5978055542400 6160029057024 6186486988800 6376592578560 6416696934400 6801698750464 7218784051200 7651911094272 7700036321280 7970740723200 8248649318400 8502123438080 9240043585536 9564888867840 9625045401600 10202548125696 10266715095040 10627654297600 11550054481920 11956111084800 12320058114048 12372973977600 12753185157120 12833393868800 13603397500928 14437568102400 15303822188544 15400072642560 15941481446400 17004246876160 18480087171072 19129777735680 19250090803200 20405096251392 20533430190080 21255308595200 23100108963840 23912222169600 24745947955200 25506370314240 25666787737600 27206795001856 28875136204800 30607644377088 30800145285120 31882962892800 34008493752320 36960174342144 38259555471360 38500181606400 40810192502784 42510617190400 46200217927680 47824444339200 51012740628480 51333575475200 54413590003712 57750272409600 61215288754176 61600290570240 63765925785600 68016987504640 76519110942720 77000363212800 81620385005568 85021234380800 92400435855360 95648888678400 102025481256960 102667150950400 108827180007424 115500544819200 122430577508352 127531851571200 136033975009280 153038221885440 154000726425600 163240770011136 170042468761600 184800871710720 191297777356800 204050962513920 217654360014848 231001089638400 244861155016704 255063703142400 272067950018560 306076443770880 308001452851200 326481540022272 340084937523200 382595554713600 408101925027840 462002179276800 489722310033408 510127406284800 544135900037120 612152887541760 652963080044544 680169875046400 765191109427200 816203850055680 924004358553600 979444620066816 1020254812569600 1088271800074240 1224305775083520 1360339750092800 1530382218854400 1632407700111360 1958889240133632 2040509625139200 2448611550167040 2720679500185600 3060764437708800 3264815400222720 4081019250278400 4897223100334080 5441359000371200 6121528875417600 8162038500556800 9794446200668160 12243057750835200 16324077001113600 24486115501670400 48972231003340800
- Sum of all divisors σ(n): 178829681525142102
- Sum of proper divisors (its aliquot sum) s(n): 129857450521801302
- 48972231003340800 is an abundant number, because the sum of its proper divisors (129857450521801302) is greater than itself. Its abundance is 80885219518460502
Bases of 48972231003340800
- Binary: 101011011111101111111100000100001101000000000000000000002
- Hexadecimal: 0xADFBFC10D00000
- Base-36: DE77GC9URK0
Squares and roots of 48972231003340800
- 48972231003340800 squared (489722310033408002) is 2398279409444573858660760944640000
- 48972231003340800 cubed (489722310033408003) is 117449093249875424553968567963702162003853312000000
-
The
square root of 48972231003340800 is 221296703.5528111973 -
The
cube root of 48972231003340800 is 365861.4319208791
Scales and comparisons
How big is 48972231003340800?- 48,972,231,003,340,800 seconds is equal to 1,557,165,464 years, 44 weeks, 1 day, 8 hours.
-
To count from 1 to 48,972,231,003,340,800 would take you about four billion, six hundred seventy-one million, four hundred ninety-six thousand, three hundred ninety-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 48972231003340800 cubic inches would be around 30488.5 feet tall.
Recreational maths with 48972231003340800
- 48972231003340800 backwards is 00804330013227984
- The number of decimal digits it has is: 17
- The sum of 48972231003340800's digits is 54
- More coming soon!
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"Number 48972231003340800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 48972231003340800 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/48972231003340800/
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The information we have on file for 48972231003340800 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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