48832128089804800
48,832,128,089,804,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48832128089804800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
48832128089804800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 48832128089804800:
212 × 52 × 13 × 31 × 37 × 61 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 31 × 37 × 61 × 524287)See below for interesting mathematical facts about the number 48832128089804800 from the Numbermatics database.
Names of 48832128089804800
- Cardinal: 48832128089804800 can be written as Forty-eight quadrillion, eight hundred thirty-two trillion, one hundred twenty-eight billion, eighty-nine million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.88321280898048 × 1016
Factors of 48832128089804800
Divisors of 48832128089804800
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 37 40 50 52 61 62 64 65 74 80 100 104 122 124 128 130 148 155 160 185 200 208 244 248 256 260 296 305 310 320 325 370 400 403 416 481 488 496 512 520 592 610 620 640 650 740 775 793 800 806 832 925 962 976 992 1024 1040 1147 1184 1220 1240 1280 1300 1480 1525 1550 1586 1600 1612 1664 1850 1891 1924 1952 1984 2015 2048 2080 2257 2294 2368 2405 2440 2480 2560 2600 2960 3050 3100 3172 3200 3224 3328 3700 3782 3848 3904 3965 3968 4030 4096 4160 4514 4588 4736 4810 4880 4960 5120 5200 5735 5920 6100 6200 6344 6400 6448 6656 7400 7564 7696 7808 7930 7936 8060 8320 9028 9176 9455 9472 9620 9760 9920 10075 10240 10400 11285 11470 11840 12025 12200 12400 12688 12800 12896 13312 14800 14911 15128 15392 15616 15860 15872 16120 16640 18056 18352 18910 18944 19240 19520 19825 19840 20150 20480 20800 22570 22940 23680 24050 24400 24583 24800 25376 25600 25792 26624 28675 29341 29600 29822 30256 30784 31232 31720 31744 32240 33280 36112 36704 37820 37888 38480 39040 39650 39680 40300 41600 45140 45880 47275 47360 48100 48800 49166 49600 50752 51200 51584 53248 56425 57350 58682 59200 59644 60512 61568 62464 63440 63488 64480 66560 69967 72224 73408 74555 75640 75776 76960 78080 79300 79360 80600 83200 90280 91760 94550 94720 96200 97600 98332 99200 101504 102400 103168 112850 114700 117364 118400 119288 121024 122915 123136 124928 126880 126976 128960 133120 139934 144448 146705 146816 149110 151280 151552 153920 156160 158600 158720 161200 166400 180560 183520 189100 189440 192400 195200 196664 198400 203008 206336 225700 229400 234728 236800 238576 242048 245830 246272 249856 253760 257920 266240 279868 288896 293410 293632 298220 302560 307840 312320 317200 317440 322400 332800 349835 361120 367040 372775 378200 378880 384800 390400 393328 396800 406016 412672 451400 458800 469456 473600 477152 484096 491660 492544 507520 515840 524287 559736 577792 586820 587264 596440 605120 614575 615680 624640 634400 634880 644800 665600 699670 722240 733525 734080 745550 756400 757760 769600 780800 786656 793600 812032 825344 902800 909571 917600 938912 947200 954304 968192 983320 985088 1015040 1031680 1048574 1119472 1155584 1173640 1174528 1192880 1210240 1229150 1231360 1249280 1268800 1289600 1331200 1399340 1444480 1467050 1468160 1491100 1512800 1539200 1561600 1573312 1587200 1624064 1650688 1749175 1805600 1819142 1835200 1877824 1894400 1908608 1936384 1966640 1970176 2030080 2063360 2097148 2238944 2311168 2347280 2349056 2385760 2420480 2458300 2462720 2537600 2579200 2621435 2798680 2888960 2934100 2936320 2982200 3025600 3078400 3123200 3146624 3174400 3248128 3498350 3611200 3638284 3670400 3755648 3788800 3817216 3872768 3933280 4060160 4126720 4194296 4477888 4547855 4622336 4694560 4698112 4771520 4840960 4916600 4925440 5075200 5158400 5242870 5597360 5777920 5868200 5872640 5964400 6051200 6156800 6246400 6293248 6815731 6996700 7222400 7276568 7340800 7511296 7634432 7745536 7866560 8120320 8253440 8388592 8955776 9095710 9244672 9389120 9543040 9681920 9833200 9850880 10150400 10316800 10485740 11194720 11555840 11736400 11745280 11928800 12102400 12313600 12586496 13107175 13631462 13993400 14444800 14553136 14681600 15022592 15268864 15733120 16240640 16252897 16777184 17911552 18191420 18778240 19086080 19363840 19398619 19666400 20300800 20633600 20971480 22389440 22739275 23111680 23472800 23490560 23857600 24204800 24627200 25172992 26214350 27262924 27986800 28889600 29106272 29363200 30045184 30537728 31466240 31981507 32505794 33554368 34078655 35823104 36382840 37556480 38172160 38727680 38797238 39332800 40601600 41267200 41942960 44778880 45478550 46223360 46945600 47715200 48409600 49254400 50345984 52428700 54525848 55973600 57779200 58212544 58726400 60090368 61075456 62932480 63963014 65011588 67108736 68157310 71646208 72765680 75112960 76344320 77594476 78665600 81203200 81264485 83885920 89557760 90957100 93891200 95430400 96819200 96993095 100691968 104857400 109051696 111947200 115558400 116425088 117452800 120180736 125864960 127926028 130023176 134217472 136314620 143292416 145531360 150225920 152688640 155188952 157331200 159907535 162528970 167771840 170393275 179115520 181914200 187782400 190860800 193638400 193986190 209714800 211287661 218103392 223894400 231116800 232850176 251729920 252182047 255852056 260046352 268434944 272629240 286584832 291062720 300451840 305377280 310377904 314662400 319815070 325057940 335543680 340786550 358231040 363828400 375564800 381721600 387972380 406322425 415759591 419429600 422575322 436206784 447788800 465700352 484965475 503459840 504364094 511704112 520092704 536869888 545258480 582125440 600903680 601357189 620755808 629324800 639630140 650115880 671087360 681573100 716462080 727656800 751129600 763443200 775944760 799537675 812644850 831519182 838859200 845150644 872413568 895577600 931400704 969930950 991426717 1008728188 1023408224 1040185408 1056438305 1073739776 1090516960 1164250880 1183315759 1202714378 1241511616 1258649600 1260910235 1279260280 1300231760 1342174720 1363146200 1432924160 1455313600 1502259200 1526886400 1551889520 1599075350 1625289700 1663038364 1677718400 1690301288 1744827136 1791155200 1862801408 1939861900 1982853434 2017456376 2046816448 2078797955 2080370816 2112876610 2147479552 2181033920 2328501760 2366631518 2405428756 2483023232 2517299200 2521820470 2558520560 2600463520 2684349440 2726292400 2910627200 3004518400 3006785945 3103779040 3198150700 3250579400 3326076728 3355436800 3380602576 3489654272 3582310400 3725602816 3879723800 3965706868 4034912752 4093632896 4157595910 4160741632 4225753220 4362067840 4657003520 4733263036 4810857512 4957133585 4966046464 5043640940 5117041120 5200927040 5282191525 5368698880 5452584800 5821254400 5916578795 6013571890 6207558080 6304551175 6396301400 6501158800 6652153456 6710873600 6761205152 6979308544 7164620800 7759447600 7817643457 7931413736 8069825504 8187265792 8315191820 8321483264 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43620678400 46570035200 47332630360 48108575120 49571335850 49660464640 50436409400 51170411200 51554189284 52009270400 53217227648 53686988800 54089641216 59165787950 60135718900 61532419468 62075580800 62541147656 63451309888 64442736605 64558604032 65498126336 66521534560 66571866112 67612051520 69793085440 73365577058 75732208576 76915524335 76973720192 78176434570 79314137360 79456743424 80698255040 81872657920 83151918200 83214832640 84515064400 87241356800 93140070400 94665260720 96217150240 99142671700 99320929280 100872818800 102340822400 103108378568 104018540800 106434455296 108179282432 118331575900 120271437800 123064838936 124151161600 125082295312 126902619776 128885473210 129117208064 130996252672 133043069120 135224103040 139586170880 146731154116 151464417152 153831048670 153947440384 156352869140 158628274720 161396510080 163745315840 166303836400 166429665280 169030128800 174482713600 183413942645 189330521440 192434300480 195441086425 198285343400 198641858560 201745637600 204681644800 206216757136 208037081600 212868910592 216358564864 236663151800 240542875600 246129677872 248302323200 250164590624 253805239552 257770946420 258234416128 266086138240 270448206080 293462308232 302928834304 307662097340 307894880768 312705738280 317256549440 322213683025 322793020160 327490631680 332607672800 332859330560 338060257600 348965427200 366827885290 378661042880 384577621675 384868600960 390882172850 396570686800 397283717120 403491275200 409363289600 412433514272 416074163200 425737821184 432717129728 473326303600 476876250877 481085751200 492259355744 496604646400 500329181248 507610479104 515541892840 516468832256 532172276480 540896412160 586924616464 605857668608 615324194680 615789761536 625411476560 634513098880 644427366050 645586040320 654981263360 665215345600 676120515200 697930854400 733655770580 757322085760 769155243350 769737201920 781764345700 793141373600 806982550400 818726579200 824867028544 832148326400 851475642368 865434259456 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4124335142720 4257378211840 4327171297280 4695396931712 4768762508770 4846861348864 4922593557440 5003291812480 5076104791040 5155418928400 5164688322560 5321722764800 5408964121600 5869246164640 6058576686080 6153241946800 6157897615360 6254114765600 6345130988800 6455860403200 6598936228352 7336557705800 7573220857600 7630020014032 7697372019200 7876149691904 8005266899968 8248670285440 8514756423680 9390793863424 9537525017540 9845187114880 10006583624960 10152209582080 10310837856800 10643445529600 10817928243200 11738492329280 11921906271925 12117153372160 12306483893600 12315795230720 12508229531200 12690261977600 12911720806400 13197872456704 14673115411600 15146441715200 15260040028064 15394744038400 15752299383808 16010533799936 16497340570880 18781587726848 19075050035080 19690374229760 20013167249920 20304419164160 20621675713600 21286891059200 21635856486400 23476984658560 23843812543850 24234306744320 24612967787200 25016459062400 25380523955200 25823441612800 26395744913408 29346230823200 30292883430400 30520080056128 30789488076800 31504598767616 32021067599872 32994681141760 37563175453696 38150100070160 39380748459520 40026334499840 41243351427200 42573782118400 46953969317120 47687625087700 49225935574400 50032918124800 50761047910400 52791489826816 58692461646400 60585766860800 61040160112256 61578976153600 63009197535232 65989362283520 75126350907392 76300200140320 78761496919040 80052668999680 82486702854400 93907938634240 95375250175400 98451871148800 100065836249600 101522095820800 117384923292800 121171533721600 122080320224512 131978724567040 150252701814784 152600400280640 157522993838080 160105337999360 164973405708800 187815877268480 190750500350800 196903742297600 200131672499200 234769846585600 244160640449024 263957449134080 305200800561280 315045987676160 329946811417600 375631754536960 381501000701600 393807484595200 400263344998400 469539693171200 488321280898048 610401601122560 659893622835200 751263509073920 763002001403200 787614969190400 800526689996800 939079386342400 976642561796096 1220803202245120 1319787245670400 1526004002806400 1575229938380800 1878158772684800 1953285123592192 2441606404490240 3052008005612800 3756317545369600 4883212808980480 6104016011225600 9766425617960960 12208032022451200 24416064044902400 48832128089804800
- Sum of all divisors σ(n): 140514724910465024
- Sum of proper divisors (its aliquot sum) s(n): 91682596820660224
- 48832128089804800 is an abundant number, because the sum of its proper divisors (91682596820660224) is greater than itself. Its abundance is 42850468730855424
Bases of 48832128089804800
- Binary: 101011010111110010001111110100000110101101010000000000002
- Hexadecimal: 0xAD7C8FD06B5000
- Base-36: DCTJLY8HGXS
Squares and roots of 48832128089804800
- 48832128089804800 squared (488321280898048002) is 2384576733779102985293702103040000
- 48832128089804800 cubed (488321280898048003) is 116443956503869517364729766463222327743086592000000
-
The
square root of 48832128089804800 is 220979926.8933827845 -
The
cube root of 48832128089804800 is 365512.2053604373
Scales and comparisons
How big is 48832128089804800?- 48,832,128,089,804,800 seconds is equal to 1,552,710,625 years, 29 weeks, 3 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 48,832,128,089,804,800 would take you about four billion, six hundred fifty-eight million, one hundred thirty-one thousand, eight hundred seventy-six 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 48832128089804800 cubic inches would be around 30459.4 feet tall.
Recreational maths with 48832128089804800
- 48832128089804800 backwards is 00840898082123884
- The number of decimal digits it has is: 17
- The sum of 48832128089804800's digits is 73
- More coming soon!
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"Number 48832128089804800 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 48832128089804800 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/48832128089804800/
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The information we have on file for 48832128089804800 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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