6448408240990464
6,448,408,240,990,464 is an even composite number composed of five prime numbers multiplied together.
What does the number 6448408240990464 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
6448408240990464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 6448408240990464:
28 × 32 × 7 × 533 × 1393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 53 × 53 × 53 × 139 × 139 × 139)See below for interesting mathematical facts about the number 6448408240990464 from the Numbermatics database.
Names of 6448408240990464
- Cardinal: 6448408240990464 can be written as Six quadrillion, four hundred forty-eight trillion, four hundred eight billion, two hundred forty million, nine hundred ninety thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 6.448408240990464 × 1015
Factors of 6448408240990464
Divisors of 6448408240990464
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 64 72 84 96 106 112 126 128 139 144 159 168 192 212 224 252 256 278 288 318 336 371 384 417 424 448 477 504 556 576 636 672 742 768 834 848 896 954 973 1008 1112 1113 1152 1251 1272 1344 1484 1668 1696 1792 1908 1946 2016 2224 2226 2304 2502 2544 2688 2809 2919 2968 3336 3339 3392 3816 3892 4032 4448 4452 5004 5088 5376 5618 5838 5936 6672 6678 6784 7367 7632 7784 8064 8427 8757 8896 8904 10008 10176 11236 11676 11872 13344 13356 13568 14734 15264 15568 16128 16854 17514 17792 17808 19321 19663 20016 20352 22101 22472 23352 23744 25281 26688 26712 29468 30528 31136 33708 35028 35584 35616 38642 39326 40032 40704 44202 44944 46704 47488 50562 51569 53376 53424 57963 58936 58989 61056 62272 66303 67416 70056 71232 77284 78652 80064 88404 89888 93408 94976 101124 103138 106752 106848 115926 117872 117978 122112 124544 132606 134832 135247 140112 142464 148877 154568 154707 157304 160128 173889 176808 176967 179776 186816 202248 206276 213696 231852 235744 235956 249088 265212 269664 270494 280224 284928 297754 309136 309414 314608 320256 347778 353616 353934 359552 373632 390451 404496 405741 412552 427392 446631 463704 464121 471488 471912 530424 539328 540988 560448 595508 618272 618828 629216 695556 707232 707868 719104 747264 780902 808992 811482 825104 854784 893262 927408 928242 942976 943824 1024013 1042139 1060848 1078656 1081976 1120896 1171353 1191016 1217223 1236544 1237656 1258432 1339893 1391112 1414464 1415736 1561804 1617984 1622964 1650208 1786524 1854816 1856484 1885952 1887648 2048026 2084278 2121696 2157312 2163952 2241792 2342706 2382032 2434446 2473088 2475312 2516864 2679786 2685619 2733157 2782224 2828928 2831472 3072039 3123608 3126417 3235968 3245928 3300416 3514059 3573048 3709632 3712968 3775296 4096052 4168556 4243392 4327904 4685412 4764064 4868892 4946176 4950624 5033728 5359572 5371238 5466314 5564448 5657856 5662944 6144078 6247216 6252834 6471936 6491856 6600832 7028118 7146096 7168091 7419264 7425936 7550592 8056857 8192104 8199471 8337112 8486784 8655808 9216117 9370824 9379251 9528128 9737784 9901248 10719144 10742476 10932628 11128896 11325888 12288156 12494432 12505668 12983712 13201664 14056236 14292192 14336182 14838528 14851872 15101184 16113714 16384208 16398942 16674224 16973568 17311616 18432234 18741648 18758502 18799333 19056256 19475568 19802496 20693903 21438288 21484952 21504273 21865256 22257792 22651776 24170571 24576312 24598413 24988864 25011336 25967424 28112472 28584384 28672364 29703744 32227428 32768416 32797884 33348448 34623232 36864468 37483296 37517004 37598666 38112512 38951136 39604992 41387806 42876576 42969904 43008546 43730512 44515584 45303552 48341142 49152624 49196826 49977728 50022672 51934848 54272689 56224944 56397999 57168768 57344728 59407488 62081709 64454856 64512819 65536832 65595768 66696896 73728936 74966592 75034008 75197332 77902272 82775612 85753152 85939808 86017092 87461024 96682284 98305248 98393652 99955456 100045344 103869696 108545378 112449888 112795998 114337536 114689456 118814976 124163418 128909712 129025638 131073664 131191536 133393792 142337807 144857321 147457872 149933184 150068016 150394664 155804544 162818067 165551224 169193997 171506304 171879616 172034184 174922048 186245127 193364568 196610496 196787304 200090688 217090756 224899776 225591996 229378912 248326836 257819424 258051276 262147328 262383072 266787584 284675614 289714642 294915744 299866368 300136032 300789328 311609088 325636134 331102448 338387994 343012608 343759232 344068368 349844096 372490254 379908823 386729136 393220992 393574608 400181376 427013421 434181512 434571963 449799552 451183992 458757824 488454201 496653672 515638848 516102552 524766144 569351228 579429284 589831488 600272064 601578656 651272268 662204896 676775988 687518464 688136736 699688192 744980508 759817646 773458272 786441984 787149216 800362752 854026842 868363024 869143926 899599104 902367984 917515648 976908402 993307344 996364649 1031277696 1032205104 1049532288 1138702456 1139726469 1158858568 1179662976 1200544128 1203157312 1281040263 1302544536 1303715889 1324409792 1353551976 1376273472 1489961016 1519635292 1546916544 1574298432 1708053684 1736726048 1738287852 1804735968 1835031296 1953816804 1986614688 1992729298 2062555392 2064410208 2099064576 2277404912 2279452938 2317717136 2359325952 2401088256 2406314624 2562080526 2605089072 2607431778 2648819584 2707103952 2752546944 2876452517 2979922032 2989093947 3039270584 3093833088 3148596864 3416107368 3419179407 3473452096 3476575704 3609471936 3907633608 3973229376 3985458596 4128820416 4554809824 4558905876 4635434272 4812629248 5124161052 5210178144 5214863556 5297639168 5414207904 5505093888 5752905034 5959844064 5978187894 6078541168 6187666176 6297193728 6832214736 6838358814 6946904192 6953151408 7218943872 7543903771 7815267216 7946458752 7970917192 8257640832 8629357551 8967281841 9109619648 9117811752 9270868544 10248322104 10420356288 10429727112 10828415808 11505810068 11919688128 11956375788 12157082336 13664429472 13676717628 13893808384 13906302816 14437887744 15087807542 15630534432 15892917504 15941834384 16515281664 17258715102 17934563682 18219239296 18235623504 18541737088 20135167619 20496644208 20840712576 20859454224 21656831616 22631711313 23011620136 23839376256 23912751576 24314164672 25888072653 27328858944 27353435256 27812605632 30175615084 31261068864 31883668768 34517430204 35869127364 36438478592 36471247008 37083474176 40270335238 40993288416 41681425152 41718908448 43313663232 45263422626 46023240272 47678752512 47825503152 48628329344 51776145306 52807326397 54657717888 54706870512 55625211264 60351230168 60405502857 62522137728 63767337536 67895133939 69034860408 71738254728 72942494016 80540670476 81986576832 83437816896 90526845252 92046480544 95651006304 97256658688 103552290612 105614652794 109315435776 109413741024 111250422528 120702460336 120811005714 125044275456 127534675072 135790267878 138069720816 143476509456 145884988032 158421979191 161081340952 163973153664 166875633792 181053690504 181216508571 184092961088 191302012608 207104581224 211229305588 218827482048 241404920672 241622011428 255069350144 271580535756 276139441632 286953018912 291769976064 316843958382 322162681904 327946307328 333751267584 362107381008 362433017142 368185922176 382604025216 399826899863 414209162448 422458611176 437654964096 475265937573 482809841344 483244022856 543161071512 552278883264 573906037824 633687916764 644325363808 724214762016 724866034284 736371844352 765208050432 799653799726 828418324896 844917222352 875309928192 950531875146 965619682688 966488045712 1086322143024 1104557766528 1147812075648 1199480699589 1267375833528 1288650727616 1448429524032 1449732068568 1599307599452 1656836649792 1689834444704 1901063750292 1931239365376 1932976091424 2172644286048 2209115533056 2295624151296 2398961399178 2534751667056 2577301455232 2798788299041 2896859048064 2899464137136 3198615198904 3313673299584 3379668889408 3598442098767 3802127500584 3865952182848 4345288572096 4797922798356 5069503334112 5154602910464 5597576598082 5793718096128 5798928274272 6397230397808 6627346599168 6759337778816 7196884197534 7604255001168 7731904365696 8396364897123 8690577144192 9595845596712 10139006668224 11195153196164 11597856548544 12794460795616 13518675557632 14393768395068 15208510002336 15463808731392 16792729794246 17381154288384 19191691193424 20278013336448 22390306392328 23195713097088 25189094691369 25588921591232 28787536790136 30417020004672 33585459588492 38383382386848 40556026672896 44780612784656 46391426194176 50378189382738 51177843182464 57575073580272 60834040009344 67170919176984 76766764773696 89561225569312 100756378765476 102355686364928 115150147160544 121668080018688 134341838353968 153533529547392 179122451138624 201512757530952 230300294321088 268683676707936 307067059094784 358244902277248 403025515061904 460600588642176 537367353415872 716489804554496 806051030123808 921201177284352 1074734706831744 1612102060247616 2149469413663488 3224204120495232 6448408240990464
- Sum of all divisors σ(n): 21813955990444800
- Sum of proper divisors (its aliquot sum) s(n): 15365547749454336
- 6448408240990464 is an abundant number, because the sum of its proper divisors (15365547749454336) is greater than itself. Its abundance is 8917139508463872
Bases of 6448408240990464
- Binary: 101101110100011001011000010101001001000101001000000002
- Hexadecimal: 0x16E8CB0A922900
- Base-36: 1RHRPULPVK0
Squares and roots of 6448408240990464
- 6448408240990464 squared (64484082409904642) is 41581968842473730039027738935296
- 6448408240990464 cubed (64484082409904643) is 268137510560416305954793893888307123655849017344
-
The
square root of 6448408240990464 is 80301981.5508338747 -
The
cube root of 6448408240990464 is 186130.4846237379
Scales and comparisons
How big is 6448408240990464?- 6,448,408,240,990,464 seconds is equal to 205,039,435 years, 43 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 6,448,408,240,990,464 would take you about six hundred fifteen million, one hundred eighteen thousand, three hundred seven 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 6448408240990464 cubic inches would be around 15510.9 feet tall.
Recreational maths with 6448408240990464
- 6448408240990464 backwards is 4640990428048446
- 6448408240990464 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6448408240990464's digits is 72
- More coming soon!
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The information we have on file for 6448408240990464 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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