6828993944448

Names of 6828993944448

• Cardinal: 6828993944448 can be written as Six trillion, eight hundred twenty-eight billion, nine hundred ninety-three million, nine hundred forty-four thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 6.828993944448 × 10¹²

Factors of 6828993944448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 829

Divisors of 6828993944448

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 32 34 37 39 48 51 52 64 68 74 78 96 102 104 111 128 136 148 156 169 192 204 208 221 222 272 289 296 312 338 384 408 416 442 444 481 507 544 578 592 624 629 663 676 757 816 832 867 884 888 962 1014 1088 1156 1184 1248 1258 1326 1352 1443 1514 1632 1664 1734 1768 1776 1887 1924 2028 2176 2197 2271 2312 2368 2496 2516 2652 2704 2873 2886 3028 3264 3468 3536 3552 3757 3774 3848 4056 4394 4542 4624 4736 4992 5032 5304 5408 5746 5772 6056 6253 6528 6591 6936 7072 7104 7514 7548 7696 8112 8177 8619 8788 9084 9248 9841 10064 10608 10693 10816 11271 11492 11544 12112 12506 12869 13182 13872 14144 14208 15028 15096 15392 16224 16354 17238 17576 18168 18496 18759 19682 20128 21216 21386 21632 22542 22984 23088 24224 24531 25012 25738 26364 27744 28009 28288 29523 30056 30192 30784 32079 32448 32708 34476 35152 36336 36992 37349 37518 38607 39364 40256 42432 42772 45084 45968 46176 48448 48841 49062 50024 51476 52728 55488 56018 59046 60112 60384 61568 64158 64896 65416 68952 70304 72672 74698 75036 77214 78728 80512 81289 84027 84864 85544 90168 91936 92352 96896 97682 98124 100048 102952 105456 106301 110976 112036 112047 118092 120224 120768 127933 128316 130832 137904 139009 140608 145344 146523 149396 150072 154428 157456 162578 167297 168054 171088 180336 183872 184704 195364 196248 200096 205904 210912 212602 218773 224072 224094 236184 240448 241536 243867 255866 256632 261664 275808 278018 281216 290688 293046 298792 300144 308856 314912 318903 325156 334594 336108 342176 360672 364117 367744 383799 390728 392496 400192 411808 417027 421824 425204 437546 448144 448188 472368 476153 480896 487734 501891 511732 513264 523328 551616 556036 586092 597584 600288 617712 629824 634933 637806 650312 656319 669188 672216 684352 721344 728234 767598 781456 784992 800384 823616 834054 843648 850408 875092 896288 896376 944736 952306 975468 1003782 1023464 1026528 1046656 1092351 1103232 1112072 1172184 1195168 1200576 1235424 1259648 1269866 1275612 1300624 1312638 1338376 1344432 1368704 1381913 1428459 1442688 1456468 1535196 1562912 1569984 1647232 1663129 1668108 1700816 1750184 1792576 1792752 1807117 1889472 1904612 1904799 1950936 2007564 2046928 2053056 2174861 2184702 2224144 2344368 2390336 2401152 2470848 2539732 2551224 2601248 2625276 2676752 2688864 2763826 2844049 2856918 2912936 3070392 3125824 3139968 3326258 3336216 3401632 3500368 3585152 3585504 3614234 3778944 3809224 3809598 3901872 4015128 4093856 4106112 4145739 4349722 4369404 4448288 4688736 4733521 4780672 4941696 4989387 5079464 5102448 5202496 5250552 5353504 5377728 5421351 5527652 5688098 5713836 5825872 6140784 6189989 6251648 6524583 6652516 6672432 6803264 7000736 7171008 7228468 7618448 7619196 7803744 8030256 8094601 8187712 8291478 8532147 8699444 8738808 8896576 9377472 9467042 9978774 10158928 10204896 10404992 10501104 10707008 10755456 10842702 11055304 11376196 11427672 11651744 12281568 12379978 13049166 13305032 13344864 13606528 14001472 14200563 14342016 14456936 15236896 15238392 15607488 16060512 16189202 16375424 16582956 17064294 17398888 17477616 17793152 18569967 18754944 18934084 19957548 20317856 20409792 21002208 21414016 21685404 22110608 22752392 22855344 23303488 23492521 24283803 24563136 24759956 26098332 26610064 26689728 28002944 28273193 28401126 28913872 30473792 30476784 31214976 32121024 32378404 33165912 34128588 34797776 34955232 36972637 37139934 37868168 39915096 40635712 40819584 42004416 43370808 44221216 45504784 45710688 46606976 46985042 48567606 49126272 49519912 52196664 53220128 53379456 56546386 56802252 57827744 60947584 60953568 61535773 64242048 64756808 66331824 68257176 69595552 69910464 70477563 73945274 74279868 75736336 79830192 80469857 81271424 84008832 84819579 86741616 88442432 91009568 91421376 93970084 97135212 99039824 104393328 105229813 106440256 110917911 113092772 113604504 115655488 121907136 123071546 129513616 132663648 136514352 139191104 139820928 140955126 147890548 148559736 151472672 159660384 160939714 169639158 173483232 176884864 182019136 182842752 184607319 187940168 194270424 198079648 208786656 210459626 212880512 221835822 226185544 227209008 231310976 241409571 243814272 246143092 259027232 265327296 273028704 278382208 281910252 295781096 297119472 302945344 315689439 319320768 321879428 339278316 346966464 364038272 369214638 375880336 388540848 396159296 417573312 420919252 443671644 452371088 454418016 480644281 482819142 492286184 518054464 530654592 546057408 563820504 591562192 594238944 605890688 631378878 638641536 643758856 678556632 693932928 738429276 751760672 777081696 792318592 835146624 841838504 887343288 904742176 908836032 961288562 965638284 984572368 1036108928 1046108141 1092114816 1127641008 1183124384 1188477888 1262757756 1287517712 1357113264 1367987569 1441932843 1476858552 1503521344 1554163392 1683677008 1774686576 1809484352 1817672064 1922577124 1931276568 1969144736 2092216282 2255282016 2366248768 2376955776 2525515512 2575035424 2714226528 2735975138 2883865686 2953717104 3007042688 3108326784 3138324423 3367354016 3549373152 3618968704 3845154248 3862553136 3938289472 4103962707 4184432564 4510564032 4732497536 5051031024 5150070848 5428453056 5471950276 5767731372 5907434208 6276648846 6734708032 7098746304 7690308496 7725106272 7876578944 8207925414 8368865128 9021128064 10102062048 10300141696 10856906112 10943900552 11535462744 11814868416 12553297692 13469416064 14197492608 15380616992 15450212544 16415850828 16737730256 17783838397 20204124096 21887801104 23070925488 23629736832 25106595384 30761233984 30900425088 32831701656 33475460512 35567676794 40408248192 43775602208 46141850976 50213190768 53351515191 61522467968 65663403312 66950921024 71135353588 87551204416 92283701952 100426381536 106703030382 131326806624 133901842048 142270707176 175102408832 184567403904 200852763072 213406060764 262653613248 284541414352 401705526144 426812121528 525307226496 569082828704 853624243056 1138165657408 1707248486112 2276331314816 3414496972224 6828993944448
• Sum of all divisors σ(n): 21466849252800
• Sum of proper divisors (its aliquot sum) s(n): 14637855308352
• 6828993944448 is an abundant number, because the sum of its proper divisors (14637855308352) is greater than itself. Its abundance is 7808861363904

Bases of 6828993944448

• Binary: 1100011010111111111110000100001101110000000₂
• Hexadecimal: 0x635FFC21B80
• Base-36: 2F572OAYO

Squares and roots of 6828993944448

• 6828993944448 squared (6828993944448²) is 46635158293307453710024704
• 6828993944448 cubed (6828993944448³) is 318471213583370528031220774968483643392
• The square root of 6828993944448 is 2613234.3837566505
• The cube root of 6828993944448 is 18972.2530766207

Scales and comparisons

• 6,828,993,944,448 seconds is equal to 217,140 years, 45 weeks, 6 days, 18 hours, 20 minutes, 48 seconds.
• To count from 1 to 6,828,993,944,448 would take you about five hundred forty-two thousand, eight hundred fifty-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 6828993944448 cubic inches would be around 1581 feet tall.

Recreational maths with 6828993944448

• 6828993944448 backwards is 8444493998286
• 6828993944448 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 6828993944448's digits is 78
• More coming soon!