990975415188096
990,975,415,188,096 is an even composite number composed of five prime numbers multiplied together.
990975415188096 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 990975415188096:
27 × 32 × 132 × 373 × 3172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 37 × 37 × 37 × 317 × 317)See below for interesting mathematical facts about the number 990975415188096 from the Numbermatics database.
Names of 990975415188096
- Cardinal: 990975415188096 can be written as Nine hundred ninety trillion, nine hundred seventy-five billion, four hundred fifteen million, one hundred eighty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 9.90975415188096 × 1014
Factors of 990975415188096
Divisors of 990975415188096
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 169 192 208 222 234 288 296 312 317 333 338 384 416 444 468 481 507 576 592 624 634 666 676 832 888 936 951 962 1014 1152 1184 1248 1268 1332 1352 1369 1443 1521 1664 1776 1872 1902 1924 2028 2368 2496 2536 2664 2704 2738 2853 2886 3042 3552 3744 3804 3848 4056 4107 4121 4329 4736 4992 5072 5328 5408 5476 5706 5772 6084 6253 7104 7488 7608 7696 8112 8214 8242 8658 10144 10656 10816 10952 11412 11544 11729 12168 12321 12363 12506 14208 14976 15216 15392 16224 16428 16484 17316 17797 18759 20288 21312 21632 21904 22824 23088 23458 24336 24642 24726 25012 30432 30784 32448 32856 32968 34632 35187 35594 37089 37518 40576 42624 43808 45648 46176 46916 48672 49284 49452 50024 50653 53391 53573 56277 60864 61568 64896 65712 65936 69264 70374 71188 74178 75036 87616 91296 92352 93832 97344 98568 98904 100048 100489 101306 105561 106782 107146 112554 121728 131424 131872 138528 140748 142376 148356 150072 151959 152477 160173 160719 175232 182592 184704 187664 194688 197136 197808 200096 200978 202612 211122 213564 214292 225108 231361 262848 263744 277056 281496 284752 296712 300144 301467 303918 304954 320346 321438 365184 375328 394272 395616 400192 401956 405224 422244 427128 428584 433973 450216 455877 457431 462722 482157 525696 527488 554112 562992 569504 593424 600288 602934 607836 609908 640692 642876 658489 694083 750656 788544 791232 800384 803912 810448 844488 854256 857168 867946 900432 904401 911754 914862 925444 964314 1125984 1139008 1186848 1200576 1205868 1215672 1219816 1281384 1285752 1301919 1306357 1316978 1372293 1388166 1501312 1577088 1582464 1607824 1620896 1688976 1708512 1714336 1735892 1800864 1808802 1823508 1829724 1850888 1928628 1975467 1982201 2082249 2251968 2278016 2373696 2401152 2411736 2431344 2439632 2562768 2571504 2603838 2612714 2633956 2744586 2776332 3215648 3241792 3377952 3417024 3428672 3471784 3601728 3617604 3647016 3659448 3701776 3718093 3857256 3905757 3919071 3950934 3964402 4164498 4503936 4747392 4823472 4862688 4879264 5125536 5143008 5207676 5225428 5267912 5489172 5552664 5641649 5926401 5946603 6431296 6483584 6755904 6834048 6857344 6943568 7203456 7235208 7294032 7318896 7403552 7436186 7714512 7811514 7838142 7901868 7928804 8328996 8560357 9646944 9725376 9758528 10251072 10286016 10415352 10450856 10535824 10978344 11105328 11154279 11283298 11757213 11852802 11893206 12862592 13511808 13887136 14470416 14588064 14637792 14807104 14872372 15429024 15623028 15676284 15803736 15857608 16057001 16657992 16924947 16982641 17120714 17839809 19293888 19450752 19517056 20502144 20572032 20830704 20901712 21071648 21956688 22210656 22308558 22566596 23514426 23705604 23786412 25681071 27774272 28940832 29176128 29275584 29614208 29744744 30858048 31246056 31352568 31607472 31715216 32114002 33315984 33462837 33849894 33965282 34241428 35679618 38587776 41661408 41803424 42143296 43913376 44421312 44617116 45133192 47028852 47411208 47572824 48171003 48335209 50774841 50947923 51362142 55548544 57881664 58352256 58551168 59489488 61716096 62492112 62705136 63214944 63430432 64228004 66631968 66925674 67699788 67930564 68482856 71359236 73341437 77043213 83322816 83606848 84286592 87826752 88842624 89234232 90266384 94057704 94822416 95145648 96342006 96670418 101549682 101895846 102724284 115763328 118978976 124984224 125410272 126429888 126860864 128456008 133263936 133851348 135399576 135861128 136965712 137569441 142718472 144513009 145005627 146682874 152843769 154086426 166645632 167213696 175653504 178468464 180532768 188115408 189644832 190291296 192684012 193340836 203099364 203791692 205448568 208741013 220024311 237957952 249968448 250820544 252859776 253721728 256912016 266527872 267702696 270799152 271722256 273931424 275138882 285436944 289026018 290011254 293365748 305687538 308172852 356936928 361065536 376230816 379289664 380582592 385368024 386681672 406198728 407583384 410897136 412708323 417482026 435016881 440048622 475915904 499936896 501641088 513824032 535405392 541598304 543444512 547862848 550277764 570873888 578052036 580022508 586731496 611375076 616345704 626223039 628357717 660072933 713873856 722131072 752461632 758579328 761165184 770736048 773363344 812397456 815166768 821794272 825416646 834964052 870033762 880097244 1027648064 1070810784 1083196608 1086889024 1095725696 1100555528 1141747776 1156104072 1160045016 1173462992 1222750152 1232691408 1238124969 1252446078 1256715434 1320145866 1427747712 1504923264 1541472096 1546726688 1624794912 1630333536 1643588544 1650833292 1669928104 1740067524 1760194488 1788402733 1878669117 1885073151 2055296128 2141621568 2166393216 2173778048 2201111056 2283495552 2312208144 2320090032 2346925984 2445500304 2465382816 2476249938 2504892156 2513430868 2640291732 2713633169 3082944192 3093453376 3249589824 3260667072 3287177088 3301666584 3339856208 3480135048 3520388976 3576805466 3757338234 3770146302 4283243136 4402222112 4624416288 4640180064 4693851968 4891000608 4930765632 4952499876 5009784312 5026861736 5090069317 5280583464 5365208199 5427266338 5655219453 6165888384 6186906752 6499179648 6521334144 6603333168 6679712416 6960270096 7040777952 7153610932 7514676468 7540292604 8140899507 8804444224 9248832576 9280360128 9387703936 9782001216 9861531264 9904999752 10019568624 10053723472 10180138634 10561166928 10730416398 10854532676 11310438906 13206666336 13359424832 13920540192 14081555904 14307221864 15029352936 15080585208 15270207951 16095624597 16281799014 17608888448 18497665152 18560720256 19564002432 19809999504 20039137248 20107446944 20360277268 21122333856 21460832796 21709065352 22620877812 23249235529 24422698521 26413332672 26718849664 27841080384 28163111808 28614443728 30058705872 30161170416 30540415902 32191249194 32563598028 39619999008 40078274496 40214893888 40720554536 42244667712 42921665592 43418130704 45241755624 45810623853 46498471058 48845397042 52826665344 55682160768 57228887456 60117411744 60322340832 61080831804 64382498388 65127196056 66170901121 69747706587 79239998016 80156548992 80429787776 81441109072 84489335424 85843331184 86836261408 90483511248 91621247706 92996942116 97690794084 114457774912 120234823488 120644681664 122161663608 128764996776 130254392112 132341802242 139495413174 158479996032 162882218144 171686662368 173672522816 180967022496 183242495412 185993884232 195381588168 198512703363 209243119761 228915549824 240469646976 241289363328 244323327216 257529993552 260508784224 264683604484 278990826348 325764436288 343373324736 347345045632 361934044992 366484990824 371987768464 390763176336 397025406726 418486239522 488646654432 515059987104 521017568448 529367208968 557981652696 595538110089 651528872576 686746649472 723868089984 732969981648 743975536928 781526352672 794050813452 836972479044 860221714573 977293308864 1030119974208 1042035136896 1058734417936 1115963305392 1191076220178 1465939963296 1487951073856 1563052705344 1588101626904 1673944958088 1720443429146 1954586617728 2060239948416 2117468835872 2231926610784 2382152440356 2580665143719 2931879926592 2975902147712 3126105410688 3176203253808 3347889916176 3440886858292 4234937671744 4463853221568 4764304880712 5161330287438 5863759853184 6352406507616 6695779832352 6881773716584 7741995431157 8469875343488 8927706443136 9528609761424 10322660574876 12704813015232 13391559664704 13763547433168 15483990862314 19057219522848 20645321149752 25409626030464 26783119329408 27527094866336 30967981724628 38114439045696 41290642299504 55054189732672 61935963449256 76228878091392 82581284599008 110108379465344 123871926898512 165162569198016 247743853797024 330325138396032 495487707594048 990975415188096
- Sum of all divisors σ(n): 3183680494530900
- Sum of proper divisors (its aliquot sum) s(n): 2192705079342804
- 990975415188096 is an abundant number, because the sum of its proper divisors (2192705079342804) is greater than itself. Its abundance is 1201729664154708
Bases of 990975415188096
- Binary: 111000010101001001011100011001101001111010100000002
- Hexadecimal: 0x38549719A7A80
- Base-36: 9R9RTJZ4W0
Squares and roots of 990975415188096
- 990975415188096 squared (9909754151880962) is 982032273507219248355060105216
- 990975415188096 cubed (9909754151880963) is 973169839966926442652257666854962650190708736
-
The
square root of 990975415188096 is 31479761.9938286065 -
The
cube root of 990975415188096 is 99698.2710181355
Scales and comparisons
How big is 990975415188096?- 990,975,415,188,096 seconds is equal to 31,509,952 years, 47 weeks, 3 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 990,975,415,188,096 would take you about seventy-eight million, seven hundred seventy-four thousand, eight hundred eighty-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 990975415188096 cubic inches would be around 8308.2 feet tall.
Recreational maths with 990975415188096
- 990975415188096 backwards is 690881514579099
- The number of decimal digits it has is: 15
- The sum of 990975415188096's digits is 81
- More coming soon!
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The information we have on file for 990975415188096 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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