48932960198400
48,932,960,198,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 48932960198400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
48932960198400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48932960198400:
28 × 33 × 52 × 97 × 1272 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 97 × 127 × 127 × 181)See below for interesting mathematical facts about the number 48932960198400 from the Numbermatics database.
Names of 48932960198400
- Cardinal: 48932960198400 can be written as Forty-eight trillion, nine hundred thirty-two billion, nine hundred sixty million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.89329601984 × 1013
Factors of 48932960198400
Divisors of 48932960198400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 97 100 108 120 127 128 135 144 150 160 180 181 192 194 200 216 225 240 254 256 270 288 291 300 320 360 362 381 384 388 400 432 450 480 485 508 540 543 576 582 600 635 640 675 720 724 762 768 776 800 864 873 900 905 960 970 1016 1080 1086 1143 1152 1164 1200 1270 1280 1350 1440 1448 1455 1524 1552 1600 1629 1728 1746 1800 1810 1905 1920 1940 2032 2160 2172 2286 2304 2328 2400 2425 2540 2619 2700 2715 2880 2896 2910 3048 3104 3175 3200 3258 3429 3456 3492 3600 3620 3810 3840 3880 4064 4320 4344 4365 4525 4572 4656 4800 4850 4887 5080 5238 5400 5430 5715 5760 5792 5820 6096 6208 6350 6400 6516 6858 6912 6984 7200 7240 7275 7620 7760 8128 8145 8640 8688 8730 9050 9144 9312 9525 9600 9700 9774 10160 10476 10800 10860 11430 11520 11584 11640 12192 12319 12416 12700 13032 13095 13575 13716 13968 14400 14480 14550 15240 15520 16129 16256 16290 17145 17280 17376 17460 17557 18100 18288 18624 19050 19200 19400 19548 20320 20952 21600 21720 21825 22860 22987 23168 23280 24384 24435 24638 24832 25400 26064 26190 27150 27432 27936 28575 28800 28960 29100 30480 31040 32258 32512 32580 34290 34560 34752 34920 35114 36200 36576 36957 37248 38100 38800 39096 40640 40725 41904 43200 43440 43650 45720 45974 46336 46560 48387 48768 48870 49276 50800 52128 52380 52671 54300 54864 55872 57150 57600 57920 58200 60960 61595 62080 64516 65160 65475 68580 68961 69504 69840 70228 72400 73152 73914 74496 76200 77600 78192 80645 81280 81450 83808 85725 86400 86880 87300 87785 91440 91948 93120 96774 97536 97740 98552 101600 104256 104760 105342 108600 109728 110871 111744 114300 114935 115840 116400 121920 122175 123190 124160 129032 130320 130950 137160 137922 139008 139680 140456 144800 145161 146304 147828 152400 155200 156384 158013 161290 162560 162900 167616 171450 172800 173760 174600 175570 182880 183896 184785 186240 193548 195480 197104 203200 206883 208512 209520 210684 217200 219456 221742 223488 228600 229870 231680 232800 241935 243840 244350 246380 258064 260640 261900 263355 274320 275844 279360 280912 289600 290322 292608 295656 304800 307975 310400 312768 316026 322580 325800 332613 335232 342900 344805 347520 349200 351140 365760 367792 369570 372480 387096 390960 394208 403225 406400 413766 417024 419040 421368 434400 435483 438912 438925 443484 457200 459740 465600 474039 483870 487680 488700 492760 516128 521280 523800 526710 548640 551688 554355 558720 561824 574675 579200 580644 591312 609600 615950 620649 620800 625536 632052 645160 651600 665226 670464 685800 689610 695040 698400 702280 725805 731520 735584 739140 774192 781920 788416 790065 806450 812800 827532 838080 842736 868800 870966 877824 877850 886968 914400 919480 923925 931200 948078 967740 977400 985520 1032256 1034415 1042560 1047600 1053420 1097280 1103376 1108710 1117440 1123648 1149350 1158400 1161288 1182624 1209675 1219200 1231900 1241298 1251072 1264104 1290320 1303200 1316775 1330452 1371600 1379220 1396800 1404560 1451610 1463040 1471168 1478280 1548384 1563840 1564513 1576832 1580130 1612900 1655064 1663065 1676160 1685472 1724025 1737600 1741932 1755700 1773936 1828800 1838960 1847850 1862400 1896156 1935480 1954800 1971040 2064512 2068830 2085120 2095200 2106840 2177415 2194560 2206752 2217420 2229739 2247296 2298700 2322576 2365248 2370195 2419350 2438400 2463800 2482596 2528208 2580640 2606400 2633550 2660904 2743200 2758440 2771775 2793600 2809120 2903220 2919349 2942336 2956560 3096768 3103245 3127680 3129026 3153664 3160260 3225800 3310128 3326130 3352320 3370944 3448050 3475200 3483864 3511400 3547872 3629025 3657600 3677920 3695700 3792312 3870960 3909600 3942080 3950325 4129024 4137660 4190400 4213680 4354830 4389120 4413504 4434840 4459478 4494592 4597400 4645152 4693539 4730496 4740390 4838700 4927600 4965192 5056416 5161280 5172075 5212800 5267100 5321808 5486400 5516880 5543550 5587200 5618240 5806440 5838698 5884672 5913120 6193536 6206490 6255360 6258052 6320520 6451600 6620256 6652260 6689217 6741888 6896100 6967728 7022800 7095744 7258050 7315200 7355840 7391400 7584624 7741920 7819200 7822565 7884160 7900650 8275320 8315325 8380800 8427360 8709660 8758047 8827008 8869680 8918956 9194800 9290304 9387078 9460992 9480780 9677400 9855200 9930384 10112832 10322560 10344150 10425600 10534200 10643616 10887075 10972800 11033760 11087100 11148695 11236480 11612880 11677396 11826240 11850975 12387072 12412980 12516104 12641040 12903200 13240512 13304520 13378434 13483776 13792200 13935456 14045600 14080617 14191488 14516100 14596745 14711680 14782800 15169248 15483840 15516225 15638400 15645130 15768320 15801300 16550640 16630650 16761600 16854720 17419320 17516094 17654016 17739360 17837912 18389600 18580608 18774156 18961560 19354800 19710400 19860768 20067651 20225664 20645120 20688300 21068400 21287232 21774150 21945600 22067520 22174200 22297390 22472960 23225760 23354792 23467695 23652480 23701950 24825960 25032208 25282080 25806400 26274141 26481024 26609040 26756868 27584400 27870912 28091200 28161234 28382976 29032200 29193490 29423360 29565600 30338496 30967680 31032450 31276800 31290260 31602600 33101280 33261300 33446085 33709440 34838640 35032188 35478720 35675824 36779200 37161216 37548312 37923120 38709600 39112825 39420800 39721536 40135302 40451328 41376600 42136800 42241851 42574464 43548300 43790235 44135040 44348400 44594780 46451520 46709584 46935390 47304960 47403900 49651920 50064416 50564160 51612800 52548282 52962048 53218080 53513736 55168800 55741824 55743475 56182400 56322468 58064400 58386980 59131200 60202953 60676992 61935360 62064900 62580520 63205200 66202560 66522600 66892170 67418880 69677280 70064376 70403085 70957440 71351648 72983725 73558400 75096624 75846240 77419200 78225650 78822423 78841600 79443072 80270604 82753200 84273600 84483702 85148928 87096600 87580470 88270080 88696800 89189560 92903040 93419168 93870780 94807800 99303840 100128832 100338255 101128320 103225600 105096564 106436160 107027472 110337600 111483648 111486950 112364800 112644936 116128800 116773960 117338475 118262400 120405906 121353984 124129800 125161040 126410400 131370705 132405120 133045200 133784340 139354560 140128752 140806170 141914880 142703296 145967450 147116800 150193248 151692480 154838400 156451300 157644846 158886144 160541208 165506400 167230425 168547200 168967404 174193200 175160940 177393600 178379120 185806080 186838336 187741560 189615600 198607680 200257664 200676510 202256640 210193128 211209255 212872320 214054944 218951175 220675200 222973900 225289872 232257600 233547920 234676950 236524800 240811812 248259600 250322080 252820800 262741410 264810240 266090400 267568680 278709120 280257504 281612340 283176853 285406592 291934900 300386496 301014765 303384960 309676800 312902600 315289692 321082416 331012800 334460850 337094400 337934808 348386400 350321880 352015425 354787200 356758240 373676672 375483120 379231200 394112115 397215360 400515328 401353020 420386256 422418510 425744640 428109888 437902350 441350400 445947800 450579744 464515200 467095840 469353900 481623624 496519200 500644160 501691275 505641600 525482820 532180800 535137360 557418240 560515008 563224680 566353706 570813184 583869800 600772992 602029530 606769920 625805200 630579384 642164832 656853525 662025600 668921700 675869616 696772800 700643760 704030850 709574400 713516480 747353344 750966240 758462400 788224230 794430720 802706040 840772512 844837020 849530559 856219776 875804700 891895600 901159488 929030400 934191680 938707800 963247248 993038400 1001288320 1003382550 1011283200 1050965640 1056046275 1064361600 1070274720 1121030016 1126449360 1132707412 1167739600 1201545984 1204059060 1251610400 1261158768 1284329664 1313707050 1324051200 1337843400 1351739232 1393545600 1401287520 1408061700 1415884265 1427032960 1501932480 1505073825 1516924800 1576448460 1605412080 1681545024 1689674040 1699061118 1712439552 1751609400 1783791200 1802318976 1868383360 1877415600 1926494496 1970560575 1986076800 2002576640 2006765100 2101931280 2112092550 2128723200 2140549440 2242060032 2252898720 2265414824 2335479200 2408118120 2503220800 2522317536 2548591677 2568659328 2627414100 2675686800 2703478464 2787091200 2802575040 2816123400 2831768530 2854065920 3003864960 3010147650 3033849600 3152896920 3210824160 3363090048 3379348080 3398122236 3503218800 3567582400 3604637952 3736766720 3754831200 3852988992 3941121150 3972153600 4013530200 4203862560 4224185100 4247652795 4281098880 4505797440 4530829648 4670958400 4816236240 5006441600 5044635072 5097183354 5137318656 5254828200 5351373600 5406956928 5605150080 5632246800 5663537060 6007729920 6020295300 6305793840 6421648320 6726180096 6758696160 6796244472 7006437600 7079421325 7135164800 7509662400 7645775031 7705977984 7882242300 8027060400 8407725120 8448370200 8495305590 8562197760 9011594880 9061659296 9341916800 9632472480 10012883200 10089270144 10194366708 10509656400 10702747200 10813913856 11210300160 11264493600 11327074120 12040590600 12611587680 12742958385 12843296640 13517392320 13592488944 14012875200 14158842650 14270329600 15019324800 15291550062 15411955968 15764484600 16054120800 16815450240 16896740400 16990611180 18023189760 18123318592 18683833600 19264944960 20178540288 20388733416 21019312800 21238263975 21405494400 22528987200 22654148240 24081181200 25223175360 25485916770 25686593280 27034784640 27184977888 28025750400 28317685300 30038649600 30583100124 31528969200 32108241600 33630900480 33793480800 33981222360 36246637184 38228875155 38529889920 40777466832 42038625600 42476527950 42810988800 45057974400 45308296480 48162362400 50446350720 50971833540 54069569280 54369955776 56051500800 56635370600 61166200248 63057938400 63714791925 64216483200 67586961600 67962444720 72493274368 76457750310 77059779840 81554933664 84077251200 84953055900 90115948800 90616592960 96324724800 100892701440 101943667080 108739911552 113270741200 122332400496 126115876800 127429583850 128432966400 135173923200 135924889440 152915500620 163109867328 168154502400 169906111800 181233185920 191144375775 192649449600 203887334160 217479823104 226541482400 244664800992 252231753600 254859167700 270347846400 271849778880 305831001240 326219734656 339812223600 362466371840 382288751550 385298899200 407774668320 453082964800 489329601984 504463507200 509718335400 543699557760 611662002480 652439469312 679624447200 764577503100 815549336640 906165929600 978659203968 1019436670800 1087399115520 1223324004960 1359248894400 1529155006200 1631098673280 1812331859200 1957318407936 2038873341600 2446648009920 2718497788800 3058310012400 3262197346560 4077746683200 4893296019840 5436995577600 6116620024800 8155493366400 9786592039680 12233240049600 16310986732800 24466480099200 48932960198400
- Sum of all divisors σ(n): 183730160621280
- Sum of proper divisors (its aliquot sum) s(n): 134797200422880
- 48932960198400 is an abundant number, because the sum of its proper divisors (134797200422880) is greater than itself. Its abundance is 85864240224480
Bases of 48932960198400
- Binary: 10110010000001000101111011010111011111000000002
- Hexadecimal: 0x2C8117B5DF00
- Base-36: HCFHP39C0
Squares and roots of 48932960198400
- 48932960198400 squared (489329601984002) is 2394434593778198567362560000
- 48932960198400 cubed (489329601984003) is 117166772675020662774404049742331904000000
-
The
square root of 48932960198400 is 6995209.8037442737 -
The
cube root of 48932960198400 is 36576.3611075459
Scales and comparisons
How big is 48932960198400?- 48,932,960,198,400 seconds is equal to 1,555,916 years, 40 weeks, 2 days.
-
To count from 1 to 48,932,960,198,400 would take you about three million, eight hundred eighty-nine thousand, seven hundred ninety-one 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 48932960198400 cubic inches would be around 3048 feet tall.
Recreational maths with 48932960198400
- 48932960198400 backwards is 00489106923984
- The number of decimal digits it has is: 14
- The sum of 48932960198400's digits is 63
- More coming soon!
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The information we have on file for 48932960198400 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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