990475992257024
990,475,992,257,024 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990475992257024 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
990475992257024 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 990475992257024:
29 × 7 × 13 × 312 × 37 × 547 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 31 × 31 × 37 × 547 × 1093)See below for interesting mathematical facts about the number 990475992257024 from the Numbermatics database.
Names of 990475992257024
- Cardinal: 990475992257024 can be written as Nine hundred ninety trillion, four hundred seventy-five billion, nine hundred ninety-two million, two hundred fifty-seven thousand and twenty-four.
Scientific notation
- Scientific notation: 9.90475992257024 × 1014
Factors of 990475992257024
Divisors of 990475992257024
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 37 52 56 62 64 74 91 104 112 124 128 148 182 208 217 224 248 256 259 296 364 403 416 434 448 481 496 512 518 547 592 728 806 832 868 896 961 962 992 1036 1093 1094 1147 1184 1456 1612 1664 1736 1792 1922 1924 1984 2072 2186 2188 2294 2368 2821 2912 3224 3328 3367 3472 3584 3829 3844 3848 3968 4144 4372 4376 4588 4736 5642 5824 6448 6656 6727 6734 6944 7111 7651 7658 7688 7696 7936 8029 8288 8744 8752 9176 9472 11284 11648 12493 12896 13454 13468 13888 14209 14222 14911 15302 15316 15376 15392 15872 16058 16576 16957 17488 17504 18352 18944 20239 22568 23296 24986 25792 26908 26936 27776 28418 28444 29822 30604 30632 30752 30784 32116 33152 33883 33914 34976 35008 35557 36704 40441 40478 45136 46592 49777 49972 51584 53816 53872 55552 56836 56888 59644 61208 61264 61504 61568 64232 66304 67766 67828 69952 70016 71114 73408 80882 80956 87451 90272 99463 99554 99944 103168 104377 107632 107744 111104 113672 113776 118699 119288 122416 122528 123008 123136 128464 132608 135532 135656 139904 140032 141673 142228 146816 161764 161912 174902 180544 198926 199108 199888 206336 208754 215264 215488 220441 227344 227552 237181 237398 238576 244832 245056 246016 246272 248899 256928 263107 271064 271312 279808 280064 283087 283346 284456 293632 323528 323824 349804 361088 397852 398216 399776 417508 430528 430976 440479 440882 454688 455104 462241 474362 474796 477152 489664 490112 492032 497798 513856 525667 525733 526214 542128 542624 559616 566174 566692 568912 587264 597871 627409 647056 647648 699608 722176 795704 796432 799552 835016 861056 861952 880958 881764 909376 910208 924482 948724 949592 954304 979328 980224 995596 1027712 1050373 1051334 1051466 1052428 1084256 1085248 1132348 1133384 1137824 1195742 1253671 1254818 1294112 1295296 1399216 1444352 1543087 1591408 1592864 1599104 1670032 1722112 1723904 1761916 1763528 1818752 1820416 1841749 1848964 1897448 1899184 1908608 1958656 1960448 1991192 2055424 2100746 2102668 2102932 2104856 2168512 2170496 2264696 2266768 2275648 2391484 2507342 2509636 2588224 2590592 2798432 3083353 3086174 3182816 3185728 3198208 3235687 3340064 3444224 3523832 3527056 3637504 3640832 3679669 3680131 3683498 3697928 3794896 3798368 3817216 3917312 3982384 4110848 4185097 4201492 4205336 4205864 4209712 4337024 4340992 4391863 4529392 4533536 4551296 4782968 5014684 5019272 5176448 5181184 5596864 6166706 6172348 6365632 6371456 6396416 6471374 6680128 6833671 7047664 7054112 7275008 7352611 7359338 7360262 7366996 7395856 7589792 7596736 7634432 7772323 7964768 8156317 8370194 8402984 8410672 8411728 8419424 8674048 8681984 8775697 8783726 9058784 9067072 9102592 9565936 10029368 10038544 10352896 10362368 11193728 12333412 12344696 12731264 12742912 12942748 13360256 13654849 13667342 14095328 14108224 14705222 14718676 14720524 14733992 14791712 15179584 15193472 15544646 15929536 16297723 16312634 16740388 16805968 16821344 16823456 16838848 17348096 17551394 17567452 18117568 18134144 18205184 18534001 19131872 19449679 20058736 20077088 20705792 22121227 22387456 24666824 24689392 25462528 25485824 25885496 26720512 27309698 27334684 28190656 28216448 29410444 29437352 29441048 29467984 29583424 30359168 30386944 31089292 31859072 32595446 32625268 33480776 33611936 33642688 33646912 33677696 35102788 35134904 36235136 36268288 37068002 38263744 38863801 38899358 40117472 40154176 44242454 44774912 47835697 49333648 49378784 50925056 51770992 53441024 54406261 54619396 54669368 56381312 56432896 57094219 58820888 58874704 58882096 58935968 59166848 60718336 60773888 62178584 63718144 65190892 65250536 66961552 67223872 67285376 67293824 67355392 70205576 70269808 72470272 72536576 74136004 76527488 77727602 77798716 80234944 80308352 88484908 95583943 95671394 98667296 98757568 103541984 108812522 109238792 109338736 112762624 112865792 114084061 114188438 117641776 117749408 117764192 117871936 118333696 121436672 124357168 127436288 129738007 130381784 130501072 133923104 134447744 134570752 134587648 134710784 136147753 140411152 140539616 144940544 148272008 153054976 154848589 155455204 155597432 160469888 160616704 176969816 191167886 191342788 197334592 197515136 207083968 217625044 218477584 218677472 225525248 228168122 228376876 235283552 235498816 235528384 235743872 236667392 240942013 248714336 252845827 259476014 260763568 261002144 267846208 268895488 269141504 269175296 272046607 272295506 280822304 281079232 287575951 296544016 306109952 309697178 310910408 311194864 320939776 321233408 353939632 382335772 382685576 394669184 395030272 414167936 435250088 436955168 437354944 456336244 456753752 470567104 470997632 471056768 471487744 481884026 497428672 505229413 505691654 518952028 521527136 522004288 535692416 537790976 544093214 544591012 561644608 562158464 574554031 575151902 593088032 619394356 621820816 622389728 641879552 685758037 707879264 764671544 765371152 789338368 790060544 828335872 870500176 873910336 874709888 912672488 913507504 941134208 941995264 942113536 942975488 963768052 994857344 1010458826 1011383308 1037904056 1043054272 1044008576 1071384832 1088186428 1089182024 1123289216 1124316928 1149108062 1150303804 1186176064 1238788712 1243641632 1244779456 1371516074 1415758528 1529343088 1530742304 1578676736 1656671744 1686594091 1741000352 1747820672 1749419776 1769920789 1825344976 1827015008 1882268416 1883990528 1884227072 1927536104 1989714688 2013031657 2020917652 2022766616 2075808112 2086108544 2088017152 2142769664 2176372856 2178364048 2246578432 2248633856 2298216124 2300607608 2372352128 2477577424 2487283264 2489558912 2743032148 2831517056 3058686176 3061484608 3373188182 3482000704 3495641344 3498839552 3536605891 3539841578 3650689952 3654030016 3764536832 3855072208 3979429376 4021878217 4026063314 4041835304 4045533232 4151616224 4172217088 4176034304 4352745712 4356728096 4493156864 4596432248 4601215216 4744704256 4800306259 4955154848 4974566528 4979117824 5486064296 5663034112 6117372352 6122969216 6746376364 6964001408 6991282688 7073211782 7079683156 7301379904 7308060032 7469202403 7710144416 8043756434 8052126628 8083670608 8091066464 8303232448 8344434176 8705491424 8713456192 8914854481 9192864496 9202430432 9489408512 9600612518 9910309696 9949133056 9958235648 10972128592 11326068224 12234744704 12245938432 13492752728 13928002816 14146423564 14159366312 14602759808 14616120064 14938404806 15420288832 16087512868 16104253256 16167341216 16182132928 16606464896 17410982848 17426912384 17829708962 18385728992 18404860864 19201225036 19820619392 19898266112 21258499147 21944257184 24469489408 24491876864 26985505456 27856005632 28292847128 28318732624 29205519616 29232240128 29876809612 30840577664 32175025736 32208506512 32334682432 32364265856 33212929792 34821965696 34853824768 35659417924 36771457984 36809721728 38402450072 39641238784 42516998294 43888514368 48938978816 52284416821 53971010912 56585694256 56637465248 58411039232 59753619224 61681155328 62403981367 64350051472 64417013024 64669364864 64728531712 66425859584 69643931392 69707649536 71318835848 73542915968 73619443456 76804900144 79282477568 85033996588 87777028736 104568833642 107942021824 113171388512 113274930496 119507238448 123362310656 124807962734 128700102944 128834026048 129338729728 129457063424 139287862784 142637671696 147085831936 147238886912 148809494029 153609800288 170067993176 175554057472 209137667284 215884043648 226342777024 226549860992 239014476896 249615925468 257400205888 257668052096 258677459456 276360488911 285275343392 294171663872 297618988058 307219600576 340135986352 351108114944 418275334568 431768087296 452685554048 453099721984 478028953792 499231850936 514800411776 515336104192 552720977822 570550686784 595237976116 614439201152 680271972704 836550669136 863536174592 905371108096 906199443968 956057907584 998463701872 1029600823552 1030672208384 1105441955644 1141101373568 1190475952232 1228878402304 1360543945408 1673101338272 1810742216192 1912115815168 1934523422377 1996927403744 2059201647104 2210883911288 2282202747136 2380951904464 2457756804608 2721087890816 3346202676544 3824231630336 3869046844754 3993854807488 4421767822576 4564405494272 4761903808928 5442175781632 6692405353088 7738093689508 7987709614976 8843535645152 9523807617856 10884351563264 13384810706176 15476187379016 15975419229952 17687071290304 19047615235712 26769621412352 30952374758032 31950838459904 35374142580608 38095230471424 61904749516064 70748285161216 76190460942848 123809499032128 141496570322432 247618998064256 495237996128512 990475992257024
- Sum of all divisors σ(n): 2591936645937408
- Sum of proper divisors (its aliquot sum) s(n): 1601460653680384
- 990475992257024 is an abundant number, because the sum of its proper divisors (1601460653680384) is greater than itself. Its abundance is 610984661423360
Bases of 990475992257024
- Binary: 111000010011010101001010011010110101010010000000002
- Hexadecimal: 0x384D529AD5200
- Base-36: 9R3EE0GGZK
Squares and roots of 990475992257024
- 990475992257024 squared (9904759922570242) is 981042691237536266801677336576
- 990475992257024 cubed (9904759922570243) is 971699233049999958169004548647465799148109824
-
The
square root of 990475992257024 is 31471828.5496255207 -
The
cube root of 990475992257024 is 99681.5198559899
Scales and comparisons
How big is 990475992257024?- 990,475,992,257,024 seconds is equal to 31,494,072 years, 42 weeks, 23 hours, 23 minutes, 44 seconds.
-
To count from 1 to 990,475,992,257,024 would take you about seventy-eight million, seven hundred thirty-five thousand, one 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 990475992257024 cubic inches would be around 8306.8 feet tall.
Recreational maths with 990475992257024
- 990475992257024 backwards is 420752299574099
- 990475992257024 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 990475992257024's digits is 74
- More coming soon!
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The information we have on file for 990475992257024 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!
Keywords: Divisors of 990475992257024, math, Factors of 990475992257024, curriculum, school, college, exams, university, Prime factorization of 990475992257024, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety trillion, four hundred seventy-five billion, nine hundred ninety-two million, two hundred fifty-seven thousand and twenty-four.