6400988788896
6,400,988,788,896 is an even composite number composed of seven prime numbers multiplied together.
6400988788896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 6400988788896:
25 × 33 × 13 × 17 × 19 × 241 × 7321
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 19 × 241 × 7321)See below for interesting mathematical facts about the number 6400988788896 from the Numbermatics database.
Names of 6400988788896
- Cardinal: 6400988788896 can be written as Six trillion, four hundred billion, nine hundred eighty-eight million, seven hundred eighty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 6.400988788896 × 1012
Factors of 6400988788896
Divisors of 6400988788896
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 38 39 48 51 52 54 57 68 72 76 78 96 102 104 108 114 117 136 144 152 153 156 171 204 208 216 221 228 234 241 247 272 288 304 306 312 323 342 351 408 416 432 442 456 459 468 482 494 513 544 608 612 624 646 663 684 702 723 741 816 864 884 912 918 936 964 969 988 1026 1224 1248 1292 1326 1368 1404 1446 1482 1632 1768 1824 1836 1872 1928 1938 1976 1989 2052 2169 2223 2448 2584 2652 2736 2808 2892 2907 2964 3133 3536 3672 3744 3856 3876 3952 3978 4097 4104 4199 4338 4446 4579 4896 5168 5304 5472 5616 5784 5814 5928 5967 6266 6507 6669 7072 7321 7344 7712 7752 7904 7956 8194 8208 8398 8676 8721 8892 9158 9399 10336 10608 11232 11568 11628 11856 11934 12291 12532 12597 13014 13338 13737 14642 14688 15504 15912 16388 16416 16796 17352 17442 17784 18316 18798 21216 21963 23136 23256 23712 23868 24582 25064 25194 26028 26676 27474 28197 29284 31008 31824 32776 33592 34704 34884 35568 36632 36873 37596 37791 41211 43926 46512 47736 49164 50128 50388 52056 53261 53352 54948 56394 58568 59527 63648 65552 65889 67184 69408 69768 71136 73264 73746 75192 75582 77843 82422 84591 87852 93024 95173 95472 98328 100256 100776 104112 106522 106704 109896 110619 112788 113373 117136 119054 123633 124457 131104 131778 134368 139099 139536 146528 147492 150384 151164 155686 159783 164844 169182 175704 178581 190346 190944 196656 197667 201552 208224 213044 213408 219792 221238 225576 226746 233529 234272 238108 247266 248914 263556 278198 279072 285519 294984 300768 302328 311372 319566 329688 338364 351408 357162 373371 380692 393312 395334 403104 417297 426088 439584 442476 451152 453492 467058 476216 479349 494532 497828 527112 535743 556396 571038 589968 604656 622744 639132 659376 676728 700587 702816 714324 746742 761384 790668 834594 852176 856557 884952 902304 906984 934116 952432 958698 989064 995656 1011959 1054224 1071486 1112792 1120113 1142076 1179936 1209312 1245488 1251891 1278264 1318752 1353456 1401174 1428648 1438047 1493484 1522768 1581336 1607229 1617941 1669188 1704352 1713114 1764361 1769904 1808287 1813968 1868232 1904864 1917396 1978128 1991312 2023918 2101761 2108448 2142972 2225584 2240226 2284152 2364683 2490976 2503782 2556528 2569671 2706912 2802348 2857296 2876094 2986968 3035877 3045536 3162672 3214458 3235882 3338376 3360339 3426228 3528722 3539808 3616574 3627936 3736464 3755673 3834792 3956256 3982624 4047836 4203522 4285944 4451168 4480452 4568304 4729366 4853823 5007564 5113056 5139342 5293083 5424861 5604696 5714592 5752188 5973936 6071754 6325344 6428916 6471764 6676752 6720678 6852456 7057444 7094049 7233148 7472928 7511346 7669584 8095672 8407044 8571888 8960904 9107631 9136608 9458732 9707646 10015128 10278684 10586166 10849722 11209392 11504376 11947872 12143508 12857832 12943528 13353504 13441356 13704912 14114888 14188098 14466296 14561469 15022692 15339168 15879249 16191344 16274583 16814088 17143776 17921808 18215262 18917464 19415292 20030256 20557368 21172332 21282147 21699444 22418784 22936693 23008752 24287016 25715664 25887056 26882712 27322893 27409824 28229776 28376196 28932592 29122938 29994137 30045384 30740879 31758498 32382688 32549166 33522859 33628176 35843616 36430524 37834928 38830584 40060512 41114736 42344664 42564294 43398888 43684407 45873386 46017504 47637747 48574032 48823749 51431328 51774112 53765424 54645786 56459552 56752392 57865184 58245876 59988274 60090768 61481758 63516996 63846441 65098332 67045718 67256352 68810079 72861048 75669856 77661168 82229472 84689328 85128588 86797776 87368814 89982411 91746772 92222637 95275494 97148064 97647498 100568577 107530848 109291572 113504784 116491752 119976548 120181536 122963516 127033992 127692882 130196664 134091436 137620158 145722096 155322336 169378656 170257176 173595552 174737628 179964822 183493544 184445274 190550988 195294996 201137154 206430237 218583144 227009568 232983504 239953096 245927032 254067984 255385764 260393328 268182872 269947233 275240316 276667911 291444192 301705731 340514352 349475256 359929644 366987088 368890548 381101976 389923781 390589992 402274308 412860474 435797167 437166288 465967008 479906192 491854064 508135968 510771528 520786656 536365744 539894466 550480632 553335822 569888603 603411462 619290711 681028704 698950512 719859288 733974176 737781096 762203952 779847562 781179984 804548616 809841699 825720948 830003733 871594334 874332576 905117193 959812384 983708128 1021543056 1072731488 1079788932 1100961264 1106671644 1139777206 1169771343 1206822924 1238581422 1307391501 1397901024 1439718576 1475562192 1524407904 1559695124 1562359968 1609097232 1619683398 1651441896 1660007466 1709665809 1743188668 1810234386 2043086112 2159577864 2201922528 2213343288 2279554412 2339542686 2413645848 2477162844 2614783002 2879437152 2951124384 3119390248 3218194464 3239366796 3302883792 3320014932 3419331618 3486377336 3509314029 3620468772 3922174503 4319155728 4426686576 4559108824 4679085372 4827291696 4954325688 5128997427 5229566004 6238780496 6478733592 6605767584 6640029864 6838663236 6972754672 7018628058 7240937544 7408551839 7844349006 8638311456 8853373152 9118217648 9358170744 9654583392 9908651376 10257994854 10459132008 10527942087 11766523509 12477560992 12957467184 13280059728 13677326472 13945509344 14037256116 14481875088 14817103678 15386992281 15688698012 18236435296 18716341488 19817302752 20515989708 20918264016 21055884174 22225655517 23533047018 25914934368 26560119456 27354652944 28074512232 28963750176 29634207356 30773984562 31377396024 37432682976 41031979416 41836528032 42111768348 44451311034 47066094036 54709305888 56149024464 59268414712 61547969124 62754792048 66676966551 82063958832 84223536696 88902622068 94132188072 112298048928 118536829424 123095938248 125509584096 133353933102 164127917664 168447073392 177805244136 188264376144 200030899653 237073658848 246191876496 266707866204 336894146784 355610488272 376528752288 400061799306 492383752992 533415732408 711220976544 800123598612 1066831464816 1600247197224 2133662929632 3200494394448 6400988788896
- Sum of all divisors σ(n): 22504852339200
- Sum of proper divisors (its aliquot sum) s(n): 16103863550304
- 6400988788896 is an abundant number, because the sum of its proper divisors (16103863550304) is greater than itself. Its abundance is 9702874761408
Bases of 6400988788896
- Binary: 10111010010010110001010100110111000101000002
- Hexadecimal: 0x5D258A9B8A0
- Base-36: 29OKNGFC0
Squares and roots of 6400988788896
- 6400988788896 squared (64009887888962) is 40972657475572280852898816
- 6400988788896 cubed (64009887888963) is 262265521152414054721105162158672347136
-
The
square root of 6400988788896 is 2530017.5471517979 -
The
cube root of 6400988788896 is 18567.3114417761
Scales and comparisons
How big is 6400988788896?- 6,400,988,788,896 seconds is equal to 203,531 years, 33 weeks, 3 days, 9 hours, 21 minutes, 36 seconds.
-
To count from 1 to 6,400,988,788,896 would take you about five hundred eight thousand, eight hundred twenty-nine 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 6400988788896 cubic inches would be around 1547.3 feet tall.
Recreational maths with 6400988788896
- 6400988788896 backwards is 6988878890046
- The number of decimal digits it has is: 13
- The sum of 6400988788896's digits is 81
- More coming soon!
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