1000997998001001
1,000,997,998,001,001 is an odd composite number composed of five prime numbers multiplied together.
What does the number 1000997998001001 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
1000997998001001 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 1000997998001001:
36 × 73 × 113 × 133 × 372
(3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 37 × 37)See below for interesting mathematical facts about the number 1000997998001001 from the Numbermatics database.
Names of 1000997998001001
- Cardinal: 1000997998001001 can be written as One quadrillion, nine hundred ninety-seven billion, nine hundred ninety-eight million, one thousand and one.
Scientific notation
- Scientific notation: 1.000997998001001 × 1015
Factors of 1000997998001001
Divisors of 1000997998001001
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 3 7 9 11 13 21 27 33 37 39 49 63 77 81 91 99 111 117 121 143 147 169 189 231 243 259 273 297 333 343 351 363 407 429 441 481 507 539 567 637 693 729 777 819 847 891 999 1001 1029 1053 1089 1183 1221 1287 1323 1331 1369 1443 1521 1573 1617 1701 1813 1859 1911 2079 2197 2331 2457 2541 2673 2849 2997 3003 3087 3159 3267 3367 3549 3663 3773 3861 3969 3993 4107 4329 4459 4477 4563 4719 4851 5103 5291 5439 5577 5733 5929 6237 6253 6591 6993 7007 7371 7623 8019 8281 8547 8991 9009 9261 9317 9477 9583 9801 10101 10647 10989 11011 11319 11583 11907 11979 12321 12691 12987 13013 13377 13431 13689 14157 14553 15059 15379 15873 16317 16731 17199 17303 17787 17797 18711 18759 19773 19943 20449 20979 21021 22113 22869 23569 24167 24843 25641 26973 27027 27783 27951 28749 29403 30303 31339 31941 32967 33033 33957 34749 35721 35937 36963 37037 38073 38961 39039 40131 40293 41067 41503 42471 43659 43771 45177 46137 47619 48951 49049 49247 50193 51597 51909 53361 53391 56133 56277 57967 58201 59319 59829 61347 62937 63063 65219 66339 67081 68607 68783 70707 72501 74529 76923 77077 81081 81289 83349 83853 86247 88209 90909 91091 94017 95823 98901 99099 101871 104247 105413 107653 107811 110889 111111 114219 116883 117117 120393 120879 121121 123201 124509 124579 127413 130977 131313 135531 138411 139601 142857 143143 146853 147147 147741 150579 154791 155727 160083 160173 164983 165649 168831 169169 173901 174603 177957 179487 184041 188811 189189 195657 195767 201243 205821 206349 212121 217503 219373 223587 224939 230769 231231 231361 243243 243867 250047 251559 258741 259259 265837 272727 273273 282051 287469 296703 297297 305613 306397 316239 322959 323433 332667 333333 342657 344729 350649 351351 361179 362637 363363 373527 373737 382239 392931 393939 406593 407407 415233 418803 428571 429429 440559 441441 443223 451737 456533 464373 467181 469567 480249 480519 481481 494949 496947 506493 507507 521703 523809 533871 538461 539539 552123 567567 569023 586971 587301 603729 617463 619047 636363 637637 640211 652509 658119 670761 674817 692307 693693 694083 729729 731601 737891 753571 754677 756613 776223 777777 797511 818181 819819 846153 847847 862407 872053 891891 894179 916839 919191 948717 968877 970299 998001 999999 1002001 1027971 1034187 1054053 1083537 1087911 1090089 1120581 1121211 1146717 1159543 1181817 1184183 1219779 1222221 1245699 1256409 1285713 1288287 1321677 1324323 1329669 1355211 1369599 1370369 1401543 1408701 1440747 1441557 1444443 1484847 1490841 1519479 1522521 1535611 1565109 1571427 1574573 1601613 1615383 1618617 1619527 1656369 1702701 1707069 1760913 1761903 1811187 1814813 1822139 1857141 1860859 1909089 1912911 1920633 1957527 1974357 2012283 2024451 2076921 2081079 2082249 2144779 2153437 2194803 2213673 2260713 2264031 2269839 2328669 2333331 2392533 2413103 2454543 2459457 2538459 2543541 2544971 2616159 2675673 2682537 2750517 2757573 2846151 2851849 2906631 2924207 2999997 3006003 3007693 3083913 3102561 3162159 3250611 3263733 3270267 3361743 3363633 3370367 3478629 3545451 3552549 3659337 3666663 3737097 3769227 3857139 3864861 3972969 3983161 3989007 4108797 4111107 4204629 4226103 4322241 4324671 4333329 4454541 4472523 4481477 4558437 4567563 4606833 4695327 4714281 4723719 4846149 4855851 4858581 4969107 5108103 5121207 5165237 5282739 5285709 5296291 5433561 5444439 5466417 5571423 5582577 5727267 5738733 5761899 5872581 5923071 5934929 6036849 6073353 6104371 6243237 6246747 6259253 6434337 6460311 6584409 6641019 6782139 6792093 6809517 6986007 6999993 7014007 7177599 7239309 7378371 7615377 7630623 7634913 7848477 8027019 8047611 8116801 8272719 8289281 8322743 8538453 8555547 8719893 8772621 8999991 9018009 9023079 9251739 9307683 9486477 9592583 9810801 9835969 10085229 10090899 10111101 10435887 10636353 10657647 10978011 10999989 11022011 11211291 11307681 11336689 11594583 11918907 11949483 11967021 12326391 12333321 12613887 12678309 12754973 12974013 12999987 13026013 13363623 13417569 13444431 13702689 13820499 14085981 14142843 14171157 14538447 14567553 14575743 14907321 15074059 15363621 15495711 15848217 15857127 15888873 16300683 16333317 16399251 16714269 16747731 16891721 17181801 17216199 17285697 17617743 17769213 17804787 17814797 18220059 18313113 18729711 18740241 18777759 19303011 19380933 19753227 19923057 19962943 20346417 20428551 20469449 20999979 21042021 21053851 21532797 21717927 22135113 22846131 22891869 22904739 23545431 23592569 23687807 24142833 24350403 24818157 24867843 24968229 25615359 25666641 26159679 26317863 26999973 27054027 27069237 27882127 27923049 27994681 28777749 29432403 29507907 30255687 30272697 30333303 31307661 31370339 31909059 31972941 32999967 33066033 33084623 33923043 34010067 34783749 35756721 35848449 35901063 36979173 36999963 37074037 38034927 38264919 38999961 39078039 40090869 40252707 40333293 41108067 41461497 42257943 42428529 42513471 43702659 43727229 43814771 45222177 46090863 46487133 47544651 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7006992993 7170421401 7232069691 7385749371 7622992377 7642547913 7856325477 8035046019 8039563389 8124917801 8264446281 8280991719 8314420257 8546991453 8564102547 8763848379 9008990991 9027027009 9284748291 9298375317 9495963477 9602175583 9826133031 10100989899 10121212101 10446322887 10646989353 10988989011 11010988989 11348025689 11606177583 11937533517 12009718149 12314064609 12345654321 12986987013 13012986987 13430986569 13806678501 14156985843 14552985447 14590318743 14922228321 15089133059 15348257379 15872984127 15904761873 16316983683 16730983269 16874829279 17198982801 17268411303 17786982213 17832611797 18748440711 18758981241 19283707989 19400313933 19942980057 20326070583 20408122449 20448979551 21020978979 21696209073 22157248113 22868977131 22927643739 23568976431 24118690167 24374753403 24842975157 24943260771 25640974359 25692307641 26291545137 27026972973 27081081027 27854244873 28022675681 28806526749 29478399093 30302969697 30363636303 31338968661 31940968059 33032966967 34044077067 34818532749 35812600551 36029154447 37036962963 37111111037 39038960961 40292959707 41420035503 42470957529 43770956229 45267399177 47618952381 47714285619 48950951049 50192949807 50624487837 53360946639 53497835391 56245322133 56276943723 57851123967 58200941799 59828940171 61346938653 63062936937 65088627219 66471744339 68782931217 70706929293 73124260209 74528925471 74829782313 76922923077 77076922923 78874635411 81243243081 83562734619 84068027043 86419580247 88435197279 90908909091 91090908909 94016905983 99098900901 102132231201 104455598247 105623931413 107437801653 108087463341 111110888889 111333333111 117116882883 120878879121 124828282579 131312868687 135802197531 142856857143 143142856857 151873463511 160082839917 160493506173 168830831169 174602825397 179486820513 184040815959 189188810811 196158729767 206348793651 212120787879 219372780627 223586776413 224489346939 231230768769 243729729243 250688203857 252204081129 259258740741 265305591837 273272726727 282050717949 297296702703 306396693603 316871794239 324262390023 333332666667 333999999333 351350648649 374484847737 393938606061 407406592593 429428570571 455620390533 481480518519 523808476191 538460461539 552122447877 588476189301 619046380953 636362363637 658118341881 693692306307 731189187729 752064611571 756612243387 777776222223 819818180181 846152153847 919190080809 950615382717 972787170069 999998000001 1001999997999 1123454543211 1181815818183 1222219777779 1288285711713 1373111108369 1444441555557 1571425428573 1765428567903 1857139142859 1974355025643 2081076918921 2269836730161 2333328666669 2459454540543 2757570242427 2851846148151 2918361510207 3005999993997 3370363629633 3666659333337 3864857135139 4119333325107 4333324666671 5296285703709 5923065076929 6809510190483 6999986000007 8272710727281 8555538444453 9017999981991 10111090888899 10999978000011 12357999975321 12999974000013 15888857111127 20428530571449 25666615333359 27053999945973 30333272666697 37073999925963 47666571333381 76999846000077 90999818000091 111221999777889 142999714000143 333665999333667 1000997998001001
- Sum of all divisors σ(n): 2143345998528000
- Sum of proper divisors (its aliquot sum) s(n): 1142348000526999
- 1000997998001001 is an abundant number, because the sum of its proper divisors (1142348000526999) is greater than itself. Its abundance is 141350002525998
Bases of 1000997998001001
- Binary: 111000111001100111000000100001011101111011011010012
- Hexadecimal: 0x38E6702177B69
- Base-36: 9UTO4R09K9
Squares and roots of 1000997998001001
- 1000997998001001 squared (10009979980010012) is 1001996992002012001991997002001
- 1000997998001001 cubed (10009979980010013) is 1002996982997039024954955025038996982997003001
-
The
square root of 1000997998001001 is 31638552.4005287101 -
The
cube root of 1000997998001001 is 100033.2555394983
Scales and comparisons
How big is 1000997998001001?- 1,000,997,998,001,001 seconds is equal to 31,828,640 years, 2 weeks, 2 days, 20 hours, 43 minutes, 21 seconds.
-
To count from 1 to 1,000,997,998,001,001 would take you about ninety-five million, four hundred eighty-five thousand, nine hundred twenty 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 1000997998001001 cubic inches would be around 8336.1 feet tall.
Recreational maths with 1000997998001001
- 1000997998001001 backwards is 1001008997990001
- The number of decimal digits it has is: 16
- The sum of 1000997998001001's digits is 54
- More coming soon!
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Keywords: Divisors of 1000997998001001, math, Factors of 1000997998001001, curriculum, school, college, exams, university, Prime factorization of 1000997998001001, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, nine hundred ninety-seven billion, nine hundred ninety-eight million, one thousand and one.