48668224921632000
48,668,224,921,632,000 is an even composite number composed of seven prime numbers multiplied together.
48668224921632000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48668224921632000:
28 × 32 × 53 × 17 × 43 × 5101 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 43 × 5101 × 45319)See below for interesting mathematical facts about the number 48668224921632000 from the Numbermatics database.
Names of 48668224921632000
- Cardinal: 48668224921632000 can be written as Forty-eight quadrillion, six hundred sixty-eight trillion, two hundred twenty-four billion, nine hundred twenty-one million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.8668224921632 × 1016
Factors of 48668224921632000
Divisors of 48668224921632000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 43 45 48 50 51 60 64 68 72 75 80 85 86 90 96 100 102 120 125 128 129 136 144 150 153 160 170 172 180 192 200 204 215 225 240 250 255 256 258 272 288 300 306 320 340 344 360 375 384 387 400 408 425 430 450 480 500 510 516 544 576 600 612 640 645 680 688 720 731 750 765 768 774 800 816 850 860 900 960 1000 1020 1032 1075 1088 1125 1152 1200 1224 1275 1280 1290 1360 1376 1440 1462 1500 1530 1548 1600 1632 1700 1720 1800 1920 1935 2000 2040 2064 2125 2150 2176 2193 2250 2304 2400 2448 2550 2580 2720 2752 2880 2924 3000 3060 3096 3200 3225 3264 3400 3440 3600 3655 3825 3840 3870 4000 4080 4128 4250 4300 4352 4386 4500 4800 4896 5100 5101 5160 5375 5440 5504 5760 5848 6000 6120 6192 6375 6400 6450 6528 6579 6800 6880 7200 7310 7650 7740 8000 8160 8256 8500 8600 8772 9000 9600 9675 9792 10200 10202 10320 10750 10880 10965 11008 11520 11696 12000 12240 12384 12750 12900 13056 13158 13600 13760 14400 14620 15300 15303 15480 16000 16125 16320 16512 17000 17200 17544 18000 18275 19125 19200 19350 19584 20400 20404 20640 21500 21760 21930 23392 24000 24480 24768 25500 25505 25800 26316 27200 27520 28800 29240 30600 30606 30960 32000 32250 32640 32895 33024 34000 34400 35088 36000 36550 38250 38700 39168 40800 40808 41280 43000 43860 45319 45909 46784 48000 48375 48960 49536 51000 51010 51600 52632 54400 54825 55040 57600 58480 61200 61212 61920 64500 65280 65790 68000 68800 70176 72000 73100 76500 76515 77400 81600 81616 82560 86000 86717 87720 90638 91375 91818 93568 96000 96750 97920 99072 102000 102020 103200 105264 108800 109650 116960 122400 122424 123840 127525 129000 131580 135957 136000 137600 140352 144000 146200 153000 153030 154800 163200 163232 164475 165120 172000 173434 175440 181276 182750 183636 187136 193500 195840 204000 204040 206400 210528 219300 219343 226595 229545 233920 244800 244848 247680 255050 258000 260151 263160 271914 272000 274125 275200 280704 288000 292400 306000 306060 309600 326400 326464 328950 344000 346868 350880 362552 365500 367272 382575 387000 407871 408000 408080 412800 421056 433585 438600 438686 453190 459090 467840 489600 489696 495360 510100 516000 520302 526320 543828 544000 548250 561408 584800 612000 612120 619200 637625 652928 657900 658029 679785 688000 693736 701760 725104 731000 734544 765150 770423 774000 780453 815742 816000 816160 822375 825600 842112 867170 877200 877372 906380 918180 935680 979200 979392 1020200 1032000 1040604 1052640 1087656 1096500 1096715 1132975 1147725 1169600 1224000 1224240 1238400 1275250 1300755 1305856 1315800 1316058 1359570 1376000 1387472 1403520 1450208 1462000 1469088 1530300 1540846 1548000 1560906 1631484 1632000 1632320 1644750 1684224 1734340 1754400 1754744 1812760 1836360 1912875 1948717 1958784 1974087 2039355 2040400 2064000 2081208 2105280 2167925 2175312 2193000 2193430 2265950 2295450 2311269 2339200 2448000 2448480 2476800 2550500 2601510 2631600 2632116 2719140 2774944 2807040 2900416 2924000 2938176 3060600 3081692 3096000 3121812 3262968 3264640 3289500 3290145 3398925 3468680 3508800 3509488 3625520 3672720 3728831 3825750 3852115 3897434 3902265 3917568 3948174 4078710 4080800 4128000 4162416 4210560 4335850 4350624 4386000 4386860 4531900 4590900 4622538 4678400 4896000 4896960 5101000 5203020 5263200 5264232 5438280 5483575 5549888 5664875 5738625 5800832 5846151 5848000 5876352 6121200 6163384 6192000 6243624 6503775 6525936 6529280 6579000 6580290 6797850 6933807 6937360 7017600 7018976 7251040 7345440 7457662 7651500 7704230 7794868 7804530 7896348 8157420 8161600 8324832 8421120 8671700 8701248 8772000 8773720 9063800 9181800 9245076 9743585 9793920 9870435 10196775 10202000 10406040 10526400 10528464 10839625 10876560 10967150 11099776 11186493 11329750 11477250 11556345 11601664 11692302 11696000 11752704 12242400 12326768 12384000 12487248 13007550 13051872 13158000 13160580 13595700 13867614 13874720 14035200 14037952 14502080 14690880 14915324 15303000 15408460 15589736 15609060 15792696 16314840 16323200 16450725 16649664 16994625 17343400 17402496 17538453 17544000 17547440 18127600 18363600 18490152 18644155 19260575 19487170 19511325 19587840 19740870 20393550 20404000 20812080 21052800 21056928 21679250 21753120 21934300 22199552 22372986 22659500 22954500 23112690 23384604 23392000 24484800 24653536 24974496 26015100 26103744 26316000 26321160 27191400 27417875 27735228 27749440 28075904 29004160 29230755 29381760 29830648 30606000 30816920 31179472 31218120 31585392 32518875 32629680 32646400 32901450 33128189 33299328 33559479 33989250 34669035 34686800 34804992 35076906 35088000 35094880 36255200 36727200 36980304 37288310 38521150 38974340 39022650 39481740 40787100 40808000 41624160 42105600 42113856 43358500 43506240 43868600 44745972 45319000 45909000 46225380 46769208 48717925 48969600 49307072 49352175 49948992 50983875 52030200 52207488 52632000 52642320 54382800 54835750 55470456 55498880 55932465 56151808 57781725 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1242550677125 1257576871360 1272371893376 1331551981440 1351895136712 1387033314000 1414773980280 1431418380048 1473722896125 1479502201600 1491060812550 1509092245632 1520882028801 1571971089200 1590153072000 1590464866720 1664439976800 1689868920890 1768467475350 1789272975060 1849377752000 1886365307040 1908183686400 1908557840064 1964963861500 1988081083400 2027842705068 2080549971000 2219253302400 2236591218825 2263638368448 2357956633800 2385229608000 2385697300080 2485101354250 2515153742720 2534803381335 2544743786752 2663103962880 2703790273424 2774066628000 2829547960560 2862836760096 2947445792250 2982121625100 3018184491264 3041764057602 3143942178400 3180306144000 3180929733440 3328879953600 3379737841780 3536934950700 3578545950120 3698755504000 3727652031375 3772730614080 3817115680128 3929927723000 3976162166800 4055685410136 4161099942000 4224672302225 4421168688375 4438506604800 4473182437650 4527276736896 4715913267600 4770459216000 4771394600160 4970202708500 5030307485440 5069606762670 5407580546848 5548133256000 5659095921120 5725673520192 5894891584500 5964243250200 6083528115204 6287884356800 6361859466880 6657759907200 6759475683560 7073869901400 7157091900240 7397511008000 7455304062750 7545461228160 7604410144005 7634231360256 7859855446000 7952324333600 8111370820272 8322199884000 8449344604450 8842337376750 8946364875300 9054553473792 9431826535200 9540918432000 9542789200320 9940405417000 10139213525340 10815161093696 11096266512000 11182956094125 11318191842240 11451347040384 11789783169000 11928486500400 12167056230408 12575768713600 12674016906675 12723718933760 13315519814400 13518951367120 14147739802800 14314183800480 14910608125500 15090922456320 15208820288010 15719710892000 15904648667200 16222741640544 16644399768000 16898689208900 17684674753500 17892729750600 18863653070400 19085578400640 19880810834000 20278427050680 21123361511125 21630322187392 22192533024000 22365912188250 22636383684480 22902694080768 23579566338000 23856973000800 24334112460816 25151537427200 25348033813350 27037902734240 28295479605600 28628367600960 29821216251000 30417640576020 31439421784000 31809297334400 32445483281088 33288799536000 33797378417800 35369349507000 35785459501200 37727306140800 38022050720025 38171156801280 39761621668000 40556854101360 42246723022250 43260644374784 44731824376500 45272767368960 47159132676000 47713946001600 48668224921632 50696067626700 54075805468480 56590959211200 57256735201920 59642432502000 60835281152040 62878843568000 63370084533375 63618594668800 64890966562176 66577599072000 67594756835600 70738699014000 71570919002400 75454612281600 76044101440050 79523243336000 81113708202720 84493446044500 89463648753000 94318265352000 95427892003200 97336449843264 101392135253400 108151610936960 113181918422400 114513470403840 119284865004000 121670562304080 125757687136000 126740169066750 129781933124352 135189513671200 141477398028000 143141838004800 152088202880100 159046486672000 162227416405440 168986892089000 178927297506000 188636530704000 190110253600125 190855784006400 194672899686528 202784270506800 216303221873920 226363836844800 238569730008000 243341124608160 253480338133500 270379027342400 282954796056000 286283676009600 304176405760200 318092973344000 324454832810880 337973784178000 357854595012000 377273061408000 380220507200250 389345799373056 405568541013600 477139460016000 486682249216320 506960676267000 540758054684800 565909592112000 572567352019200 608352811520400 648909665621760 675947568356000 715709190024000 760441014400500 811137082027200 954278920032000 973364498432640 1013921352534000 1081516109369600 1131819184224000 1216705623040800 1351895136712000 1431418380048000 1520882028801000 1622274164054400 1946728996865280 2027842705068000 2433411246081600 2703790273424000 2862836760096000 3041764057602000 3244548328108800 4055685410136000 4866822492163200 5407580546848000 6083528115204000 8111370820272000 9733644984326400 12167056230408000 16222741640544000 24334112460816000 48668224921632000
- Sum of all divisors σ(n): 189777354317591040
- Sum of proper divisors (its aliquot sum) s(n): 141109129395959040
- 48668224921632000 is an abundant number, because the sum of its proper divisors (141109129395959040) is greater than itself. Its abundance is 92440904474327040
Bases of 48668224921632000
- Binary: 101011001110011101111110001000100100110101111101000000002
- Hexadecimal: 0xACE77E224D7D00
- Base-36: DB7G1VI0CG0
Squares and roots of 48668224921632000
- 48668224921632000 squared (486682249216320002) is 2368596117022562092541543424000000
- 48668224921632000 cubed (486682249216320003) is 115275368571758241497458511138206724947968000000000
-
The
square root of 48668224921632000 is 220608759.8479081245 -
The
cube root of 48668224921632000 is 365102.8043979997
Scales and comparisons
How big is 48668224921632000?- 48,668,224,921,632,000 seconds is equal to 1,547,499,011 years, 41 weeks, 5 days, 16 hours.
-
To count from 1 to 48,668,224,921,632,000 would take you about four billion, six hundred forty-two million, four hundred ninety-seven thousand and thirty-five 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 48668224921632000 cubic inches would be around 30425.2 feet tall.
Recreational maths with 48668224921632000
- 48668224921632000 backwards is 00023612942286684
- The number of decimal digits it has is: 17
- The sum of 48668224921632000's digits is 63
- More coming soon!
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"Number 48668224921632000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 48668224921632000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/48668224921632000/
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The information we have on file for 48668224921632000 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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