990357517392676416
990,357,517,392,676,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 990357517392676416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1820 divisors.
990357517392676416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty divisors.
Prime factorization of 990357517392676416:
26 × 312 × 314 × 41 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 31 × 41 × 769)See below for interesting mathematical facts about the number 990357517392676416 from the Numbermatics database.
Names of 990357517392676416
- Cardinal: 990357517392676416 can be written as Nine hundred ninety quadrillion, three hundred fifty-seven trillion, five hundred seventeen billion, three hundred ninety-two million, six hundred seventy-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 9.90357517392676416 × 1017
Factors of 990357517392676416
Divisors of 990357517392676416
- Number of divisors d(n): 1820
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 54 62 64 72 81 82 93 96 108 123 124 144 162 164 186 192 216 243 246 248 279 288 324 328 369 372 432 486 492 496 558 576 648 656 729 738 744 769 837 864 961 972 984 992 1107 1116 1271 1296 1312 1458 1476 1488 1538 1674 1728 1922 1944 1968 1984 2187 2214 2232 2307 2511 2542 2592 2624 2883 2916 2952 2976 3076 3321 3348 3813 3844 3888 3936 4374 4428 4464 4614 5022 5084 5184 5766 5832 5904 5952 6152 6561 6642 6696 6921 7533 7626 7688 7776 7872 8649 8748 8856 8928 9228 9963 10044 10168 11439 11532 11664 11808 12304 13122 13284 13392 13842 15066 15252 15376 15552 17298 17496 17712 17856 18456 19683 19926 20088 20336 20763 22599 22878 23064 23328 23616 23839 24608 25947 26244 26568 26784 27684 29791 29889 30132 30504 30752 31529 34317 34596 34992 35424 36912 39366 39401 39852 40176 40672 41526 45198 45756 46128 46656 47678 49216 51894 52488 53136 53568 55368 59049 59582 59778 60264 61008 61504 62289 63058 67797 68634 69192 69984 70848 71517 73824 77841 78732 78802 79704 80352 81344 83052 89373 89667 90396 91512 92256 94587 95356 102951 103788 104976 106272 110736 118098 118203 119164 119556 120528 122016 124578 126116 135594 137268 138384 139968 143034 147648 155682 157464 157604 159408 160704 166104 177147 178746 179334 180792 183024 184512 186867 189174 190712 203391 205902 207576 209952 212544 214551 221472 233523 236196 236406 238328 239112 241056 244032 249156 252232 268119 269001 271188 274536 276768 283761 286068 308853 311364 314928 315208 318816 332208 354294 354609 357492 358668 361584 366048 373734 378348 381424 406782 411804 415152 419904 429102 442944 467046 472392 472812 476656 478224 482112 498312 504464 531441 536238 538002 542376 549072 553536 560601 567522 572136 610173 617706 622728 629856 630416 637632 643653 664416 700569 708588 709218 714984 717336 723168 732096 739009 747468 756696 762848 804357 807003 813564 823608 830304 851283 858204 923521 926559 934092 944784 945624 953312 956448 977399 996624 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3926375390088 3974849160336 4058310047013 4108412640186 4141814368968 4155439215672 4189223274336 4192947879696 4240942080192 4471705305378 4615953863616 4659541165089 4717066364658 4771059840216 4809848944608 4869229795776 5192948096568 5235167186784 5299798880448 5367442320243 5411080062684 5477883520248 5522419158624 5540585620896 5590597172928 5962273740504 6162618960279 6212721553452 6283834911504 6289421819544 6361413120288 6707557958067 6923930795424 7075599546987 7156589760324 7214773416912 7303844693664 7852750780176 7949698320672 8116620094026 8216825280372 8283628737936 8310878431344 8378446548672 8385895759392 8943410610756 9319082330178 9434132729316 9542119680432 9619697889216 10385896193136 10470334373568 10734884640486 10822160125368 10955767040496 11044838317248 11081171241792 11924547481008 12174930141039 12325237920558 12425443106904 12567669823008 12578843639088 12722826240576 13415115916134 13847861590848 13978623495267 14151199093974 14313179520648 14429546833824 14607689387328 15705501560352 15899396641344 16102326960729 16233240188052 16433650560744 16567257475872 16621756862688 16771791518784 17886821221512 18487856880837 18638164660356 18868265458632 19084239360864 20122673874201 20771792386272 21226798640961 21469769280972 21644320250736 21911534080992 23849094962016 24349860282078 24650475841116 24850886213808 25135339646016 25157687278176 26830231832268 27957246990534 28302398187948 28626359041296 28859093667648 31411003120704 32204653921458 32466480376104 32867301121488 33134514951744 33243513725376 35773642443024 36975713761674 37276329320712 37736530917264 38168478721728 40245347748402 41543584772544 41935870485801 42453597281922 42939538561944 43288640501472 43823068161984 47698189924032 48699720564156 49300951682232 49701772427616 50315374556352 53660463664536 55463570642511 55914493981068 56604796375896 57252718082592 63680395922883 64409307842916 64932960752208 65734602242976 71547284886048 73951427523348 74552658641424 75473061834528 80490695496804 83871740971602 84907194563844 85879077123888 86577281002944 97399441128312 98601903364464 99403544855232 107320927329072 110927141285022 111828987962136 113209592751792 114505436165184 125807611457403 127360791845766 128818615685832 129865921504416 131469204485952 143094569772096 147902855046696 149105317282848 150946123669056 160981390993608 166390711927533 167743481943204 169814389127688 171758154247776 191041187768649 194798882256624 197203806728928 214641854658144 221854282570044 223657975924272 226419185503584 251615222914806 254721583691532 257637231371664 259731843008832 295805710093392 298210634565696 321962781987216 332781423855066 335486963886408 339628778255376 343516308495552 377422834372209 382082375537298 389597764513248 394407613457856 429283709316288 443708565140088 447315951848544 452838371007168 499172135782599 503230445829612 509443167383064 515274462743328 573123563305947 591611420186784 643925563974432 665562847710132 670973927772816 679257556510752 754845668744418 764164751074596 779195529026496 887417130280176 894631903697088 998344271565198 1006460891659224 1018886334766128 1030548925486656 1146247126611894 1183222840373568 1287851127948864 1331125695420264 1341947855545632 1358515113021504 1509691337488836 1528329502149192 1719370689917841 1774834260560352 1996688543130396 2012921783318448 2037772669532256 2292494253223788 2662251390840528 2683895711091264 3019382674977672 3056659004298384 3438741379835682 3549668521120704 3993377086260792 4025843566636896 4075545339064512 4584988506447576 5158112069753523 5324502781681056 6038765349955344 6113318008596768 6877482759671364 7986754172521584 8051687133273792 9169977012895152 10316224139507046 10649005563362112 12077530699910688 12226636017193536 13754965519342728 15474336209260569 15973508345043168 18339954025790304 20632448279014092 24155061399821376 27509931038685456 30948672418521138 31947016690086336 36679908051580608 41264896558028184 55019862077370912 61897344837042276 82529793116056368 110039724154741824 123794689674084552 165059586232112736 247589379348169104 330119172464225472 495178758696338208 990357517392676416
- Sum of all divisors σ(n): 3124474460578293900
- Sum of proper divisors (its aliquot sum) s(n): 2134116943185617484
- 990357517392676416 is an abundant number, because the sum of its proper divisors (2134116943185617484) is greater than itself. Its abundance is 1143759425792941068
Bases of 990357517392676416
- Binary: 1101101111100111010011101010001110001101010000000110010000002
- Hexadecimal: 0xDBE74EA38D40640
- Base-36: 7IVGFUN29000
Squares and roots of 990357517392676416
- 990357517392676416 squared (9903575173926764162) is 980808012256185369822632911682605056
- 990357517392676416 cubed (9903575173926764163) is 971350588056881485786112405670051082794975834933559296
-
The
square root of 990357517392676416 is 995167080.1391474967 -
The
cube root of 990357517392676416 is 996775.4526009285
Scales and comparisons
How big is 990357517392676416?- 990,357,517,392,676,416 seconds is equal to 31,490,305,676 years, 7 weeks, 5 days, 22 hours, 33 minutes, 36 seconds.
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To count from 1 to 990,357,517,392,676,416 would take you about ninety-four billion, four hundred seventy million, nine hundred seventeen thousand and twenty-eight 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 990357517392676416 cubic inches would be around 83064.6 feet tall.
Recreational maths with 990357517392676416
- 990357517392676416 backwards is 614676293715753099
- The number of decimal digits it has is: 18
- The sum of 990357517392676416's digits is 90
- More coming soon!
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The information we have on file for 990357517392676416 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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