448138011110400
448,138,011,110,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 448138011110400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
448138011110400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 448138011110400:
210 × 34 × 52 × 13 × 1032 × 1567
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 103 × 103 × 1567)See below for interesting mathematical facts about the number 448138011110400 from the Numbermatics database.
Names of 448138011110400
- Cardinal: 448138011110400 can be written as Four hundred forty-eight trillion, one hundred thirty-eight billion, eleven million, one hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 4.481380111104 × 1014
Factors of 448138011110400
Divisors of 448138011110400
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 103 104 108 117 120 128 130 135 144 150 156 160 162 180 192 195 200 206 208 216 225 234 240 256 260 270 288 300 309 312 320 324 325 351 360 384 390 400 405 412 416 432 450 468 480 512 515 520 540 576 585 600 618 624 640 648 650 675 702 720 768 780 800 810 824 832 864 900 927 936 960 975 1024 1030 1040 1053 1080 1152 1170 1200 1236 1248 1280 1296 1300 1339 1350 1404 1440 1536 1545 1560 1567 1600 1620 1648 1664 1728 1755 1800 1854 1872 1920 1950 2025 2060 2080 2106 2160 2304 2340 2400 2472 2496 2560 2575 2592 2600 2678 2700 2781 2808 2880 2925 3072 3090 3120 3134 3200 3240 3296 3328 3456 3510 3600 3708 3744 3840 3900 4017 4050 4120 4160 4212 4320 4608 4635 4680 4701 4800 4944 4992 5120 5150 5184 5200 5265 5356 5400 5562 5616 5760 5850 6180 6240 6268 6400 6480 6592 6656 6695 6912 7020 7200 7416 7488 7680 7725 7800 7835 8034 8100 8240 8320 8343 8424 8640 8775 9216 9270 9360 9402 9600 9888 9984 10300 10368 10400 10530 10609 10712 10800 11124 11232 11520 11700 12051 12360 12480 12536 12800 12960 13184 13312 13390 13824 13905 14040 14103 14400 14832 14976 15360 15450 15600 15670 16068 16200 16480 16640 16686 16848 17280 17550 18540 18720 18804 19200 19776 19968 20085 20371 20600 20736 20800 21060 21218 21424 21600 22248 22464 23040 23175 23400 23505 24102 24720 24960 25072 25600 25920 26325 26368 26780 27648 27810 28080 28206 28800 29664 29952 30900 31200 31340 31827 32136 32400 32960 33280 33372 33475 33696 34560 35100 36153 37080 37440 37608 38400 39175 39552 39936 40170 40742 41200 41472 41600 41715 42120 42309 42436 42848 43200 44496 44928 46080 46350 46800 47010 48204 49440 49920 50144 51840 52650 52736 53045 53560 55620 56160 56412 57600 59328 59904 60255 61113 61800 62400 62680 63654 64272 64800 65920 66560 66744 66950 67392 69120 69525 70200 70515 72306 74160 74880 75216 76800 78350 79104 80340 81484 82400 82944 83200 83430 84240 84618 84872 85696 86400 88992 89856 92700 93600 94020 95481 96408 98880 99840 100288 100425 101855 103680 105300 105472 106090 107120 108459 111240 112320 112824 115200 117525 118656 119808 120510 122226 123600 124800 125360 126927 127308 128544 129600 131840 133488 133900 134784 137917 138240 139050 140400 141030 144612 148320 149760 150432 156700 158208 159135 160680 161401 162968 164800 166400 166860 168480 169236 169744 171392 172800 177984 179712 180765 183339 185400 187200 188040 190962 192816 197760 199680 200576 200850 203710 207360 208575 210600 211545 212180 214240 216918 222480 224640 225648 230400 235050 237312 241020 244452 247200 249600 250720 253854 254616 257088 259200 263680 265225 266976 267800 269568 275834 278100 280800 282060 286443 289224 296640 299520 300864 301275 305565 313400 316416 318270 321360 322802 325936 329600 332800 333720 336960 338472 339488 342784 345600 352575 355968 359424 361530 366678 370800 374400 376080 381924 385632 395520 401152 401700 407420 413751 414720 417150 421200 423090 424360 428480 433836 444960 449280 451296 470100 474624 477405 482040 484203 488904 494400 499200 501440 507708 509232 509275 514176 518400 527360 530450 533952 535600 539136 542295 550017 551668 556200 561600 564120 572886 578448 593280 599040 601728 602550 611130 626800 634635 636540 642720 645604 651872 659200 667440 673920 676944 678976 685568 689585 691200 705150 711936 723060 733356 741600 748800 752160 763848 771264 791040 795675 802304 803400 807005 814840 827502 834300 842400 846180 848720 856960 859329 867672 889920 898560 902592 903825 916695 940200 949248 954810 964080 968406 977808 988800 998400 1002880 1015416 1018464 1018550 1028352 1036800 1057725 1060900 1067904 1071200 1078272 1084590 1100034 1103336 1112400 1123200 1128240 1145772 1156896 1186560 1203456 1205100 1222260 1241253 1253600 1269270 1273080 1285440 1291208 1303744 1318400 1334880 1347840 1353888 1357952 1371136 1379170 1410300 1423872 1432215 1446120 1452609 1466712 1483200 1497600 1504320 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458308800 462758400 464834880 469347840 472097925 476641152 488862720 495823872 496501200 498729090 503571120 516483200 521497600 522939240 528016320 529601280 531977696 537142528 541555200 549970560 555310080 557801856 558563850 563217408 566517510 581043600 586684800 595801440 598474908 604285344 611078400 619779840 629463900 635521536 648347817 649866240 653674050 660020400 662001600 664972120 671428160 679821012 687463200 694137600 697252320 704021760 706135040 714961728 733294080 743735808 744751800 748093635 755356680 774724800 782246400 794401920 797966544 805713792 812332800 814771200 826373120 831215150 836702784 839285200 844826112 849776265 864463756 871565400 879952896 880027200 882668800 893702160 897712362 906428016 916617600 925516800 929669760 938695680 944195850 953282304 993002400 997458180 1007142240 1032966400 1045878480 1056032640 1059202560 1063955392 1074285056 1080579695 1083110400 1099941120 1115603712 1117127700 1133035020 1162087200 1173369600 1191602880 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9064280160 9296697600 9532823040 9575598528 9668565504 9725217255 9974581800 10071422400 10373565072 10458784800 10560326400 10592025600 10639553920 10742850560 10772548344 10805796950 10877136192 10999411200 11156037120 11221404525 11330350200 11439387648 11670260706 11916028800 11969498160 12085706880 12395596800 12767464704 12966956340 13299442400 13387244544 13428563200 13465685430 13596420240 13831420096 13945046400 14080435200 14299234560 14363397792 14502848256 14961872700 15107133600 15560347608 15888038400 15959330880 16114275840 16208695425 16734055680 16995525300 17023286272 17289275120 17505391059 17874043200 17954247240 18128560320 18593395200 19065646080 19151197056 19337131008 19450434510 19949163600 20142844800 20747130144 20917569600 21120652800 21279107840 21545096688 21611593900 21754272384 21998822400 22312074240 22442809050 22660700400 23340521412 23832057600 23938996320 24171413760 25534929408 25933912680 26598884800 26857126400 26931370860 27192840480 27662840192 27890092800 28598469120 28726795584 29005696512 29175651765 29923745400 30214267200 31120695216 31776076800 31918661760 32228551680 32417390850 33468111360 33664213575 33991050600 34578550240 35010782118 35748086400 35908494480 36257120640 37186790400 38302394112 38900869020 39898327200 40285689600 41494260288 41835139200 42241305600 42558215680 43090193376 43223187800 43508544768 44885618100 45321400800 46681042824 47664115200 47877992640 48342827520 48626086275 51069858816 51867825360 53197769600 53714252800 53862741720 54385680960 55325680384 55780185600 57196938240 57453591168 58011393024 58351303530 59847490800 60428534400 62241390432 63837323520 64834781700 66936222720 67328427150 67982101200 69157100480 70021564236 71496172800 71816988960 72514241280 76604788224 77801738040 79796654400 80571379200 82988520576 83670278400 85116431360 86180386752 86446375600 87017089536 87526955295 89771236200 90642801600 93362085648 95328230400 95755985280 96685655040 97252172550 103735650720 106395539200 107725483440 108771361920 110651360768 111560371200 114907182336 116702607060 119694981600 120857068800 124482780864 127674647040 129669563400 134656854300 135964202400 138314200960 140043128472 142992345600 143633977920 145028482560 145878258825 153209576448 155603476080 159593308800 161142758400 165977041152 167340556800 172360773504 172892751200 174034179072 175053910590 179542472400 181285603200 186724171296 191511970560 194504345100 207471301440 212791078400 215450966880 217542723840 221302721536 229814364672 233405214120 239389963200 241714137600 248965561728 255349294080 259339126800 269313708600 271928404800 276628401920 280086256944 285984691200 287267955840 290056965120 291756517650 311206952160 319186617600 331954082304 334681113600 344721547008 345785502400 350107821180 359084944800 362571206400 373448342592 383023941120 389008690200 414942602880 425582156800 430901933760 435085447680 437634776475 459628729344 466810428240 478779926400 483428275200 497931123456 518678253600 538627417200 543856809600 553256803840 560172513888 574535911680 583513035300 622413904320 638373235200 663908164608 689443094016 691571004800 700215642360 718169889600 725142412800 746896685184 766047882240 778017380400 829885205760 861803867520 870170895360 875269552950 933620856480 957559852800 995862246912 1037356507200 1077254834400 1087713619200 1106513607680 1120345027776 1149071823360 1167026070600 1244827808640 1276746470400 1378886188032 1383142009600 1400431284720 1436339779200 1450284825600 1493793370368 1556034760800 1659770411520 1723607735040 1750539105900 1867241712960 1915119705600 1991724493824 2074713014400 2154509668800 2175427238400 2240690055552 2298143646720 2334052141200 2489655617280 2766284019200 2800862569440 2872679558400 2987586740736 3112069521600 3319540823040 3447215470080 3501078211800 3734483425920 3830239411200 4149426028800 4309019337600 4350854476800 4481380111104 4668104282400 4979311234560 5532568038400 5601725138880 5745359116800 5975173481472 6224139043200 6894430940160 7002156423600 7468966851840 8298852057600 8618038675200 8962760222208 9336208564800 9958622469120 11203450277760 11490718233600 12448278086400 14004312847200 14937933703680 16597704115200 17236077350400 17925520444416 18672417129600 22406900555520 24896556172800 28008625694400 29875867407360 34472154700800 37344834259200 44813801111040 49793112345600 56017251388800 74689668518400 89627602222080 112034502777600 149379337036800 224069005555200 448138011110400
- Sum of all divisors σ(n): 1805718742145472
- Sum of proper divisors (its aliquot sum) s(n): 1357580731035072
- 448138011110400 is an abundant number, because the sum of its proper divisors (1357580731035072) is greater than itself. Its abundance is 909442719924672
Bases of 448138011110400
- Binary: 11001011110010100010000101111011001101100000000002
- Hexadecimal: 0x1979442F66C00
- Base-36: 4EUNRD8G00
Squares and roots of 448138011110400
- 448138011110400 squared (4481380111104002) is 200827677001984993840988160000
- 448138011110400 cubed (4481380111104003) is 89998515747591373732766827616994852864000000
-
The
square root of 448138011110400 is 21169270.4435084395 -
The
cube root of 448138011110400 is 76525.1038183769
Scales and comparisons
How big is 448138011110400?- 448,138,011,110,400 seconds is equal to 14,249,402 years, 29 weeks, 5 days.
-
To count from 1 to 448,138,011,110,400 would take you about thirty-five million, six hundred twenty-three thousand, five hundred 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 448138011110400 cubic inches would be around 6377.1 feet tall.
Recreational maths with 448138011110400
- 448138011110400 backwards is 004011110831844
- 448138011110400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 448138011110400's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 448138011110400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 448138011110400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/448138011110400/
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Numbermatics. 2024. "Number 448138011110400 - Facts about the integer". https://numbermatics.com/n/448138011110400/
The information we have on file for 448138011110400 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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