448214723461120

Names of 448214723461120

• Cardinal: 448214723461120 can be written as Four hundred forty-eight trillion, two hundred fourteen billion, seven hundred twenty-three million, four hundred sixty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.4821472346112 × 10¹⁴

Factors of 448214723461120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 181

Divisors of 448214723461120

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 59 64 70 77 80 88 97 110 112 118 128 140 154 160 176 194 220 224 236 256 280 295 308 320 352 385 388 413 440 448 472 485 512 560 590 616 640 649 679 704 770 776 826 880 896 944 970 1024 1067 1120 1180 1232 1280 1298 1358 1408 1540 1552 1652 1760 1792 1888 1940 2048 2065 2134 2240 2360 2464 2560 2596 2716 2816 3080 3104 3245 3304 3395 3520 3584 3776 3880 4096 4130 4268 4480 4543 4720 4928 5120 5192 5335 5432 5632 5723 6160 6208 6490 6608 6790 7040 7168 7469 7552 7760 8192 8260 8536 8960 9086 9409 9440 9856 10240 10384 10670 10864 11264 11446 12320 12416 12980 13216 13580 14080 14336 14938 15104 15520 16384 16520 17072 17920 18172 18818 18880 19712 20480 20768 21340 21728 22528 22715 22892 24640 24832 25960 26432 27160 28160 28615 28672 29876 30208 31040 32768 33040 34144 35840 36344 37345 37636 37760 39424 40061 40960 41536 42680 43456 45056 45430 45784 47045 49280 49664 51920 52864 54320 56320 57230 57344 59752 60416 62080 62953 65536 65863 66080 68288 71680 72688 74690 75272 75520 78848 80122 81920 83072 85360 86912 90112 90860 91568 94090 98560 99328 103499 103840 105728 108640 112640 114460 114688 119504 120832 124160 125906 131072 131726 132160 136576 143360 145376 149380 150544 151040 157696 160244 163840 166144 170720 173824 180224 181720 183136 188180 197120 198656 200305 206998 207680 211456 217280 225280 228920 229376 239008 241664 248320 251812 262144 263452 264320 273152 286720 290752 298760 301088 302080 314765 315392 320488 327680 329315 332288 341440 347648 360448 363440 366272 376360 394240 397312 400610 413996 415360 422912 434560 440671 450560 457840 458752 478016 483328 496640 503624 517495 524288 526904 528640 546304 555131 573440 581504 597520 602176 604160 629530 630784 640976 655360 658630 664576 682880 695296 720896 724493 726880 732544 752720 788480 794624 801220 827992 830720 845824 869120 881342 901120 915680 917504 956032 966656 993280 1007248 1034990 1048576 1053808 1057280 1092608 1110262 1146880 1163008 1195040 1204352 1208320 1259060 1261568 1281952 1310720 1317260 1329152 1365760 1390592 1441792 1448986 1453760 1465088 1505440 1576960 1589248 1602440 1655984 1661440 1691648 1738240 1762684 1802240 1831360 1835008 1912064 1933312 1986560 2014496 2069980 2097152 2107616 2114560 2185216 2203355 2220524 2293760 2326016 2390080 2408704 2416640 2518120 2523136 2563904 2621440 2634520 2658304 2731520 2775655 2781184 2883584 2897972 2907520 2930176 3010880 3153920 3178496 3204880 3311968 3322880 3383296 3476480 3525368 3604480 3622465 3662720 3670016 3824128 3866624 3885917 3973120 4028992 4139960 4215232 4229120 4370432 4406710 4441048 4587520 4652032 4780160 4817408 4833280 5036240 5046272 5127808 5242880 5269040 5316608 5463040 5551310 5562368 5767168 5795944 5815040 5860352 6021760 6106441 6307840 6356992 6409760 6623936 6645760 6766592 6952960 7050736 7208960 7244930 7325440 7340032 7648256 7733248 7771834 7946240 8057984 8279920 8430464 8458240 8740864 8813420 8882096 9175040 9304064 9560320 9634816 9666560 10072480 10092544 10255616 10485760 10538080 10633216 10926080 11102620 11124736 11534336 11591888 11630080 11720704 12043520 12212882 12615680 12713984 12819520 13247872 13291520 13533184 13905920 14101472 14417920 14489860 14650880 14680064 15296512 15466496 15543668 15892480 16115968 16559840 16860928 16916480 17481728 17626840 17764192 18350080 18608128 19120640 19269632 19333120 19429585 20144960 20185088 20511232 21076160 21266432 21852160 22205240 22249472 23068672 23183776 23260160 23441408 24087040 24425764 25231360 25427968 25639040 26495744 26583040 27066368 27811840 28202944 28835840 28979720 29301760 30532205 30593024 30932992 31087336 31784960 32231936 33119680 33721856 33832960 34963456 35253680 35528384 36700160 37216256 38241280 38539264 38666240 38859170 40289920 40370176 41022464 42152320 42532864 42745087 43704320 44410480 44498944 46367552 46520320 46882816 48174080 48851528 50462720 50855936 51278080 52991488 53166080 54132736 55623680 56405888 57671680 57959440 58603520 61064410 61186048 61865984 62174672 63569920 64463872 66239360 67443712 67665920 69926912 70507360 71056768 73400320 74432512 76482560 77078528 77332480 77718340 80579840 80740352 82044928 84304640 85065728 85490174 87408640 88820960 88997888 92735104 93040640 93765632 96348160 97703056 100925440 101711872 102556160 105982976 106332160 108265472 111247360 112811776 115343360 115918880 117207040 122128820 122372096 123731968 124349344 127139840 128927744 132478720 134887424 135331840 139853824 141014720 142113536 148865024 152965120 154157056 154664960 155436680 161159680 161480704 164089856 168609280 170131456 170980348 174817280 177641920 177995776 185470208 186081280 187531264 192696320 195406112 201850880 203423744 205112320 211965952 212664320 213725435 216530944 222494720 225623552 231837760 234414080 244257640 244744192 248698688 254279680 257855488 264957440 269774848 270663680 279707648 282029440 284227072 297730048 305930240 308314112 309329920 310873360 322319360 328179712 337218560 340262912 341960696 349634560 355283840 355991552 370940416 372162560 375062528 385392640 390812224 403701760 410224640 423931904 425328640 427450870 433061888 444989440 451247104 463675520 468828160 488515280 489488384 497397376 508559360 515710976 529914880 539549696 541327360 559415296 564058880 568454144 595460096 611860480 616628224 618659840 621746720 644638720 656359424 674437120 680525824 683921392 699269120 710567680 711983104 741880832 744325120 750125056 770785280 781624448 807403520 820449280 847863808 850657280 854901740 866123776 889978880 902494208 927351040 937656320 977030560 978976768 994794752 1017118720 1031421952 1059829760 1079099392 1082654720 1118830592 1128117760 1136908288 1190920192 1223720960 1233256448 1243493440 1289277440 1312718848 1348874240 1361051648 1367842784 1398538240 1421135360 1423966208 1483761664 1488650240 1500250112 1541570560 1563248896 1640898560 1695727616 1701314560 1709803480 1779957760 1804988416 1854702080 1875312640 1954061120 1957953536 1989589504 2062843904 2119659520 2158198784 2165309440 2237661184 2256235520 2273816576 2381840384 2447441920 2466512896 2486986880 2578554880 2625437696 2697748480 2735685568 2797076480 2842270720 2967523328 2977300480 3000500224 3083141120 3126497792 3281797120 3391455232 3402629120 3419606960 3559915520 3609976832 3709404160 3750625280 3908122240 3915907072 3979179008 4125687808 4239319040 4316397568 4330618880 4512471040 4547633152 4763680768 4894883840 4933025792 4973973760 5157109760 5250875392 5395496960 5471371136 5594152960 5684541440 5935046656 5954600960 6001000448 6166282240 6252995584 6563594240 6782910464 6805258240 6839213920 7119831040 7219953664 7418808320 7501250560 7816244480 7831814144 7958358016 8251375616 8478638080 8632795136 9024942080 9095266304 9527361536 9789767680 9866051584 9947947520 10314219520 10501750784 10790993920 10942742272 11188305920 11369082880 11870093312 11909201920 12002000896 12332564480 12505991168 13127188480 13565820928 13678427840 14439907328 14837616640 15002501120 15632488960 15663628288 15916716032 16502751232 16957276160 17265590272 18049884160 18190532608 19579535360 19732103168 19895895040 20628439040 21003501568 21581987840 21885484544 22738165760 23740186624 23818403840 24665128960 25011982336 26254376960 27131641856 27356855680 28879814656 29675233280 30005002240 31264977920 31833432064 33005502464 33914552320 34531180544 36099768320 36381065216 39159070720 39791790080 41256878080 42007003136 43163975680 43770969088 45476331520 47480373248 47636807680 49330257920 50023964672 52508753920 54263283712 54713711360 57759629312 59350466560 60010004480 62529955840 63666864128 66011004928 67829104640 69062361088 72199536640 72762130432 78318141440 79583580160 82513756160 84014006272 86327951360 87541938176 90952663040 94960746496 98660515840 100047929344 105017507840 108526567424 109427422720 115519258624 118700933120 125059911680 127333728256 132022009856 135658209280 138124722176 144399073280 145524260864 159167160320 165027512320 172655902720 175083876352 181905326080 189921492992 200095858688 210035015680 217053134848 218854845440 231038517248 237401866240 250119823360 254667456512 271316418560 288798146560 291048521728 318334320640 330055024640 345311805440 350167752704 363810652160 379842985984 400191717376 420070031360 437709690880 462077034496 474803732480 500239646720 509334913024 542632837120 577596293120 582097043456 636668641280 660110049280 690623610880 700335505408 727621304320 759685971968 800383434752 875419381760 924154068992 949607464960 1000479293440 1018669826048 1085265674240 1155192586240 1164194086912 1273337282560 1400671010816 1455242608640 1519371943936 1600766869504 1750838763520 1899214929920 2000958586880 2037339652096 2310385172480 2546674565120 2801342021632 2910485217280 3201533739008 3501677527040 3798429859840 4001917173760 4074679304192 4620770344960 5093349130240 5602684043264 5820970434560 6403067478016 7003355054080 7596859719680 8003834347520 8149358608384 10186698260480 11205368086528 12806134956032 14006710108160 16007668695040 20373396520960 22410736173056 28013420216320 32015337390080 40746793041920 44821472346112 56026840432640 64030674780160 89642944692224 112053680865280 224107361730560 448214723461120
• Sum of all divisors σ(n): 1378088246741760
• Sum of proper divisors (its aliquot sum) s(n): 929873523280640
• 448214723461120 is an abundant number, because the sum of its proper divisors (929873523280640) is greater than itself. Its abundance is 481658799819520

Bases of 448214723461120

• Binary: 1100101111010011000011111011000000000000000000000₂
• Hexadecimal: 0x197A61F600000
• Base-36: 4EVN01SCN4

Squares and roots of 448214723461120

• 448214723461120 squared (448214723461120²) is 200896438327328275352151654400
• 448214723461120 cubed (448214723461120³) is 90044741549207391908529995561271902076928000
• The square root of 448214723461120 is 21171082.2458635779
• The cube root of 448214723461120 is 76529.4700965643

Scales and comparisons

• 448,214,723,461,120 seconds is equal to 14,251,841 years, 40 weeks, 6 days, 10 hours, 18 minutes, 40 seconds.
• To count from 1 to 448,214,723,461,120 would take you about thirty-five million, six hundred twenty-nine thousand, six hundred 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 448214723461120 cubic inches would be around 6377.5 feet tall.

Recreational maths with 448214723461120

• 448214723461120 backwards is 021164327412844
• The number of decimal digits it has is: 15
• The sum of 448214723461120's digits is 49
• More coming soon!