4148424933248736

Names of 4148424933248736

• Cardinal: 4148424933248736 can be written as Four quadrillion, one hundred forty-eight trillion, four hundred twenty-four billion, nine hundred thirty-three million, two hundred forty-eight thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 4.148424933248736 × 10¹⁵

Factors of 4148424933248736

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 178805

Divisors of 4148424933248736

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 41 42 47 48 56 62 63 72 82 84 93 94 96 112 123 124 126 141 144 164 168 186 188 193 217 224 246 248 252 279 282 287 288 328 329 336 369 372 376 386 423 434 492 496 504 558 564 574 579 651 656 658 672 738 744 752 772 846 861 868 984 987 992 1008 1116 1128 1148 1158 1271 1302 1312 1316 1351 1457 1476 1488 1504 1544 1692 1722 1736 1737 1927 1953 1968 1974 2016 2232 2256 2296 2316 2542 2583 2604 2632 2702 2914 2952 2961 2976 3088 3384 3444 3472 3474 3813 3854 3906 3936 3948 4053 4371 4464 4512 4592 4632 5084 5166 5208 5264 5404 5781 5828 5904 5922 5983 6176 6768 6888 6944 6948 7626 7708 7812 7896 7913 8106 8742 8897 8928 9071 9184 9264 10168 10199 10332 10416 10528 10808 11439 11562 11656 11808 11844 11966 12159 13113 13489 13536 13776 13896 15252 15416 15624 15792 15826 16212 17343 17484 17794 17949 18142 18528 20336 20398 20664 20832 21616 22878 23124 23312 23688 23739 23932 24318 26226 26691 26978 27213 27552 27792 30504 30597 30832 31248 31584 31652 32424 34686 34968 35588 35898 36284 40467 40672 40796 41328 41881 43232 45756 46248 46624 47376 47478 47864 48636 52452 53382 53847 53956 54426 55391 55584 59737 61008 61194 61664 62496 63304 63497 64848 69372 69936 71176 71217 71796 72568 80073 80934 81592 81639 82656 83762 91512 91791 92496 94752 94956 95728 97272 104904 106764 107694 107912 108852 110782 119474 121401 122016 122388 125643 126608 126994 129696 138744 139872 142352 142434 143592 145136 160146 161868 163184 163278 166173 167524 178481 179211 183024 183582 184992 189912 190491 191456 194544 209808 213528 215388 215824 217704 221564 238948 242802 244776 245303 251286 253216 253988 277488 281201 284704 284868 287184 290272 320292 323736 326368 326556 332346 335048 356962 358422 366048 367164 371911 376929 379824 380982 389088 418159 419616 427056 430776 431648 435408 443128 477896 485604 489552 490606 498519 502572 507976 535443 537633 554976 562402 569736 571473 574368 640584 647472 653112 664692 670096 713924 716844 734328 735909 743822 753858 759648 761964 836318 843603 854112 861552 870816 886256 955792 971208 979104 981212 997038 1005144 1015952 1070886 1075266 1115733 1124804 1139472 1142946 1249367 1254477 1281168 1294944 1306224 1329384 1340192 1427848 1433688 1468656 1471818 1487644 1507716 1523928 1606329 1672636 1687206 1717121 1723104 1772512 1911584 1942416 1962424 1968407 1994076 2010288 2031904 2141772 2150532 2207727 2231466 2249608 2278944 2285892 2498734 2508954 2530809 2562336 2603377 2612448 2658768 2855696 2867376 2937312 2943636 2975288 3015432 3047856 3212658 3345272 3347199 3374412 3434242 3748101 3763431 3884832 3924848 3936814 3988152 4020576 4283544 4301064 4415454 4462932 4499216 4571784 4997468 5017908 5061618 5151363 5206754 5317536 5532911 5711392 5734752 5887272 5905221 5950576 6030864 6095712 6425316 6690544 6694398 6748824 6868484 7317721 7496202 7526862 7810131 7849696 7873628 7976304 8388607 8567088 8602128 8830908 8925864 8998432 9143568 9994936 10035816 10123236 10302726 10413508 11065822 11244303 11529241 11774544 11810442 11901152 12061728 12850632 13381088 13388796 13497648 13736968 14635442 14992404 15053724 15454089 15620262 15747256 15952608 16598733 16777214 17134176 17204256 17661816 17715663 17851728 18287136 19989872 20071632 20246472 20605452 20827016 21953163 22131644 22488606 23058482 23430393 23549088 23620884 25165821 25701264 26777592 26995296 27473936 29270884 29984808 30107448 30908178 31240524 31494512 33197466 33554428 34446833 34587723 35323632 35431326 35703456 38730377 39979744 40143264 40492944 41210904 41654032 43906326 44263288 44977212 46116964 46860786 47241768 49796199 50331642 51224047 51402528 53555184 54947872 58541768 58720249 59969616 60214896 61816356 62481048 62989024 65859489 66394932 67108856 68893666 69175446 70647264 70862652 75497463 77460754 80704687 80985888 82421808 83308064 87812652 88526576 89954424 92233928 93721572 94483536 99592398 100663284 102448094 103340499 103763169 107110368 116191131 117083536 117440498 119939232 120429792 123632712 124962096 131718978 132789864 134217712 137787332 138350892 141725304 150994926 153672141 154921508 161409374 164843616 175625304 176160747 177053152 179908848 184467856 187443144 188967072 199184796 201326568 204896188 206680998 207526338 226849351 232382262 234167072 234880996 241127831 242114061 247265424 249924192 260046817 263437956 265579728 268435424 275574664 276701784 283450608 301989852 307344282 309843016 310021497 322818748 343932887 348573393 351250608 352321494 359817696 368935712 374886288 398369592 402653136 409792376 413361996 415052676 453698702 461016423 464764524 469761992 482255662 484228122 494530848 520093634 526875912 528482241 531159456 551149328 553403568 566901216 603979704 614688564 619686032 620042994 645637496 680548053 687865774 697146786 702501216 704642988 723383493 726342183 749772576 780140451 796739184 805306272 819584752 826723992 830105352 907397404 922032846 929529048 939523984 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6351781828 6407110938 6476004604 7222590627 7259179232 7281310876 7376262768 7474962761 7716090592 7747649952 8166576636 8254389288 8321498144 8455715856 8473920918 8542814584 8680601916 9361685412 9527672742 9610666407 9630120836 9714006906 9886241071 9920687904 10661919497 10888768848 10921966314 11005852384 11154348576 11298561224 11333008057 11574135888 11621474928 12381583932 12482247216 12703563656 12710881377 12814221876 12952009208 14291509113 14445181254 14562621752 14571010359 14752525536 14949925522 16333153272 16382949471 16508778576 16911431712 16947841836 17085629168 17361203832 18723370824 19055345484 19221332814 19260241672 19428013812 19772482142 21323838994 21667771881 21777537696 21843932628 22424888283 22597122448 22666016114 23148271776 23242949856 24763167864 24964494432 25407127312 25421762754 25628443752 25904018416 28583018226 28890362508 29125243504 29142020718 29658723213 29899851044 31985758491 32666306544 32765898942 33017557152 33895683672 33999024171 34171258336 34722407664 37446741648 38110690968 38442665628 38520483344 38856027624 39544964284 42647677988 43335543762 43687865256 43781924743 44849776566 45194244896 45332032228 49526335728 50189035681 50814254624 50843525508 51256887504 51808036832 57166036452 57780725016 58250487008 58284041436 59317446426 59799702088 63971516982 65332613088 65531797884 66379047191 67274664849 67791367344 67998048342 69444815328 74633436479 74893483296 76221381936 76885331256 77040966688 77712055248 79089928568 85295355976 86671087524 87375730512 87563849486 88976169639 89699553132 90664064456 95957275473 99052671456 100378071362 101687051016 101997072513 102513775008 114332072904 115561450032 116568082872 118634892852 119599404176 127943033964 131063595768 131345774229 132758094382 134549329698 135582734688 135996096684 149266872958 150567107043 152442763872 153770662512 155424110496 158179857136 170590711952 173342175048 174751461024 175127698972 177952339278 179399106264 181328128912 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1225893892804 1343401856622 1393959991011 1401021591776 1405292999068 1423618714224 1535316407568 1576149290748 1593097132584 1606049141792 1631953160208 1791202475496 1806805284516 1838840839206 1858613321348 2057750462921 2101532387664 2107939498602 2124129510112 2152789275168 2388269967328 2389645698876 2409073712688 2451787785608 2686803713244 2758261258809 2787919982022 2810585998136 2847237428448 3070632815136 3152298581496 3161909247903 3186194265168 3263906320416 3582404950992 3613610569032 3677681678412 3717226642696 4115500925842 4181879973033 4203064775328 4215878997204 4779291397752 4818147425376 4903575571216 5373607426488 5516522517618 5575839964044 5621171996272 6173251388763 6304597162992 6323818495806 6372388530336 7164809901984 7227221138064 7355363356824 7434453285392 8231001851684 8363759946066 8431757994408 9558582795504 9807151142432 10747214852976 11033045035236 11151679928088 11242343992544 12346502777526 12609194325984 12647636991612 14404253240447 14454442276128 14710726713648 14868906570784 16462003703368 16727519892132 16863515988816 18519754166289 19117165591008 21494429705952 22066090070472 22303359856176 24693005555052 25295273983224 28808506480894 29421453427296 32924007406736 33455039784264 33727031977632 37039508332578 43212759721341 44132180140944 44606719712352 49386011110104 50590547966448 57617012961788 65848014813472 66910079568528 74079016665156 86425519442682 88264360281888 98772022220208 101181095932896 115234025923576 129638279164023 133820159137056 148158033330312 172851038885364 197544044440416 230468051847152 259276558328046 296316066660624 345702077770728 460936103694304 518553116656092 592632133321248 691404155541456 1037106233312184 1382808311082912 2074212466624368 4148424933248736
• Sum of all divisors σ(n): 14635600578772992
• Sum of proper divisors (its aliquot sum) s(n): 10487175645524256
• 4148424933248736 is an abundant number, because the sum of its proper divisors (10487175645524256) is greater than itself. Its abundance is 6338750712275520

Bases of 4148424933248736

• Binary: 1110101111001111100001110010100001100000111011100000₂
• Hexadecimal: 0xEBCF872860EE0
• Base-36: 14UHS3S3JS0

Squares and roots of 4148424933248736

• 4148424933248736 squared (4148424933248736²) is 17209429426799779737331245597696
• 4148424933248736 cubed (4148424933248736³) is 71392026121120709299157600130173398459356512256
• The square root of 4148424933248736 is 64408267.5845945727
• The cube root of 4148424933248736 is 160679.7245698315

Scales and comparisons

• 4,148,424,933,248,736 seconds is equal to 131,907,080 years, 49 weeks, 5 days, 3 hours, 45 minutes, 36 seconds.
• To count from 1 to 4,148,424,933,248,736 would take you about three hundred ninety-five million, seven hundred twenty-one thousand, two hundred forty-two 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 4148424933248736 cubic inches would be around 13390 feet tall.

Recreational maths with 4148424933248736

• 4148424933248736 backwards is 6378423394248414
• 4148424933248736 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4148424933248736's digits is 72
• More coming soon!