32988972844648020
32,988,972,844,648,020 is an even composite number composed of six prime numbers multiplied together.
What does the number 32988972844648020 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
32988972844648020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 32988972844648020:
22 × 3 × 5 × 173 × 613 × 793
(2 × 2 × 3 × 5 × 17 × 17 × 17 × 61 × 61 × 61 × 79 × 79 × 79)See below for interesting mathematical facts about the number 32988972844648020 from the Numbermatics database.
Names of 32988972844648020
- Cardinal: 32988972844648020 can be written as Thirty-two quadrillion, nine hundred eighty-eight trillion, nine hundred seventy-two billion, eight hundred forty-four million, six hundred forty-eight thousand and twenty.
Scientific notation
- Scientific notation: 3.298897284464802 × 1016
Factors of 32988972844648020
Divisors of 32988972844648020
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 79 85 102 122 158 170 183 204 237 244 255 289 305 316 340 366 395 474 510 578 610 732 790 867 915 948 1020 1037 1156 1185 1220 1343 1445 1580 1734 1830 2074 2370 2686 2890 3111 3468 3660 3721 4029 4148 4335 4740 4819 4913 5185 5372 5780 6222 6241 6715 7442 8058 8670 9638 9826 10370 11163 12444 12482 13430 14457 14739 14884 15555 16116 17340 17629 18605 18723 19276 19652 20145 20740 22326 22831 24095 24565 24964 26860 28914 29478 31110 31205 35258 37210 37446 40290 44652 45662 48190 49130 52887 55815 57828 58956 62220 62410 63257 68493 70516 72285 73695 74420 74892 80580 81923 88145 91324 93615 96380 98260 105774 106097 111630 114155 124820 126514 136986 144570 147390 163846 176290 187230 189771 211548 212194 223260 226981 228310 245769 253028 264435 273972 289140 293959 294780 299693 316285 318291 327692 342465 352580 374460 379542 380701 388127 409615 424388 453962 456620 491538 493039 528870 530485 587918 599386 632570 636582 680943 684930 759084 761402 776254 819230 881877 899079 907924 948855 983076 986078 1057740 1060970 1075369 1134905 1142103 1164381 1175836 1198772 1228845 1265140 1273164 1361886 1369860 1392691 1469795 1479117 1498465 1522804 1552508 1591455 1638460 1763754 1798158 1803649 1897710 1903505 1940635 1972156 2121940 2150738 2269810 2284206 2328762 2457690 2465195 2723772 2785382 2939590 2958234 2996930 3182910 3226107 3404715 3527508 3596316 3607298 3795420 3807010 3858677 3881270 4178073 4301476 4409385 4495395 4539620 4568412 4657524 4915380 4930390 4997303 5376845 5410947 5570764 5710515 5821905 5879180 5916468 5993860 6365820 6452214 6471917 6809430 6963455 7214596 7395585 7614020 7717354 7762540 8356146 8381663 8818770 8990790 9018245 9860780 9994606 10753690 10821894 11421030 11576031 11643810 12904428 12943834 13618860 13926910 14791170 14991909 15434708 16130535 16712292 16763326 17637540 17931499 17981580 18036490 18281273 19293385 19415751 19989212 20890365 21507380 21643788 22842060 23152062 23222761 23287620 23675747 24986515 25144989 25887668 27054735 27853820 29582340 29983818 30075379 30662033 32261070 32359585 33526652 35862998 36072980 36562546 38586770 38831502 41780730 41908315 46304124 46445522 47351494 49973030 50289978 53794497 54109470 54843819 57880155 59967636 60150758 61324066 64522140 64719170 65597509 69668283 71027241 71725996 73125092 74959545 77173540 77663004 83561460 83816630 84954151 89657495 90226137 91406365 91986099 92891044 94702988 97078755 99946060 100579956 107588994 108218940 109687638 110022589 115760310 116113805 118378735 120301516 122648132 125724945 129438340 131195018 139336566 142054482 142488271 149919090 150376895 153310165 167633260 169908302 179314990 180452274 182812730 183972198 194157510 196792527 215177988 219375276 220045178 231520620 232227610 236757470 251449890 254862453 262390036 268972485 274219095 278673132 284108964 284976542 299838180 300753790 304835483 306620330 327987545 330067767 339816604 348341415 355136205 358629980 360904548 365625460 367944396 388315020 393585054 394786937 424770755 427464813 440090356 451130685 459930495 464455220 473514940 502899780 509724906 511281443 537944970 548438190 550112945 569953084 601507580 609670966 613240660 655975090 660135534 696682830 710272410 712441355 787170108 789573874 849541510 854929626 902261370 914506449 919860990 983962635 1019449812 1022562886 1075889940 1096876380 1100225890 1115157653 1184360811 1219341932 1274312265 1311950180 1320271068 1393365660 1416588421 1420544820 1424882710 1444220567 1524177415 1533844329 1579147748 1650338835 1699083020 1709859252 1804522740 1829012898 1834598119 1839721980 1870384013 1967925270 1973934685 2045125772 2137324065 2200451780 2230315306 2368721622 2422300607 2548624530 2556407215 2833176842 2849765420 2888441134 3048354830 3067688658 3300677670 3345472959 3658025796 3669196238 3740768026 3935850540 3947869370 4249765263 4274648130 4332661701 4460630612 4572532245 4737443244 4844601214 5097249060 5112814430 5182203211 5503794357 5575788265 5611152039 5666353684 5776882268 5921804055 6096709660 6135377316 6601355340 6690945918 6711377929 7082942105 7221102835 7266901821 7338392476 7481536052 7669221645 7895738740 8499530526 8549296260 8665323402 8691784531 9145064490 9172990595 9351920065 9689202428 10225628860 10364406422 11007588714 11151576530 11222304078 11843608110 12111503035 13381891836 13422755858 14165884210 14442205670 14533803642 15338443290 15546609633 16727364795 16999061052 17330646804 17383569062 18290128980 18345981190 18703840130 20134133787 20728812844 21248826315 21663308505 22015177428 22303153060 22444608156 23687216220 24082003157 24223006070 25911016055 26075353593 26845511716 27518971785 28055760195 28331768420 28884411340 29067607284 30676886580 31093219266 31188168023 33454729590 33556889645 34767138124 36334509105 36691962380 37407680260 40268267574 42497652630 43326617010 43458922655 48164006314 48446012140 51822032110 52150707186 55037943570 56111520390 62186438532 62376336046 66909459180 67113779290 72246009471 72669018210 77733048165 80536535148 84995305260 86653234020 86917845310 88097454587 93564504069 96328012628 100670668935 103644064220 104301414372 110075887140 111910485259 112223040780 114093424793 120410015785 124752672092 130376767965 134227558580 144492018942 145338036420 147760337027 155466096330 155940840115 173835690620 176194909174 187129008138 201341337870 223820970518 228186849586 240820031570 260753535930 264292363761 288984037884 295520674054 310932192660 311881680230 335731455777 342280274379 352389818348 361230047355 374258016276 402682675740 409394053669 440487272935 443281011081 447641941036 456373699172 467822520345 481640063140 521507071860 528584727522 530198856391 559552426295 570467123965 591041348108 623763360460 671462911554 684560548758 722460094710 738801685135 818788107338 880974545870 886562022162 935645040690 1057169455044 1060397712782 1119104852590 1140934247930 1228182161007 1321461818805 1342925823108 1369121097516 1444920189420 1477603370270 1590596569173 1637576214676 1678657278885 1711401371895 1761949091740 1773124044324 1871290081380 1902478249403 2046970268345 2120795425564 2216405055405 2238209705180 2281868495860 2456364322014 2642923637610 2650994281955 2955206740540 3181193138346 3357314557770 3422802743790 3804956498806 4093940536690 4432810110810 4912728644028 5285847275220 5301988563910 5707434748209 6140910805035 6362386276692 6714629115540 6845605487580 6959698912373 7609912997612 7952982845865 8187881073380 8865620221620 9013380558647 9512391247015 10603977127820 11414869496418 12281821610070 13919397824746 15905965691730 18026761117294 19024782494030 20879096737119 22829738992836 24563643220140 27040141675941 27838795649492 28537173741045 31811931383460 32342130239851 34798494561865 36053522234588 38049564988060 41758193474238 45066902793235 54080283351882 57074347482090 64684260479702 69596989123730 83516386948476 90133805586470 97026390719553 104395483685595 108160566703764 114148694964180 129368520959404 135200708379705 139193978247460 161710651199255 180267611172940 194052781439106 208790967371190 270401416759410 323421302398510 388105562878212 417581934742380 485131953597765 540802833518820 549816214077467 646842604797020 970263907195530 1099632428154934 1649448642232401 1940527814391060 2199264856309868 2749081070387335 3298897284464802 5498162140774670 6597794568929604 8247243211162005 10996324281549340 16494486422324010 32988972844648020
- Sum of all divisors σ(n): 101055881409638400
- Sum of proper divisors (its aliquot sum) s(n): 68066908564990380
- 32988972844648020 is an abundant number, because the sum of its proper divisors (68066908564990380) is greater than itself. Its abundance is 35077935720342360
Bases of 32988972844648020
- Binary: 11101010011001101001011110001111110100100000110010101002
- Hexadecimal: 0x75334BC7E90654
- Base-36: 90TM4WPNYAC
Squares and roots of 32988972844648020
- 32988972844648020 squared (329889728446480202) is 1088272329344924476701157689920400
- 32988972844648020 cubed (329889728446480203) is 35900986320341560105987499695537732327839817608000
-
The
square root of 32988972844648020 is 181628667.4637239637 -
The
cube root of 32988972844648020 is 320717.7017674769
Scales and comparisons
How big is 32988972844648020?- 32,988,972,844,648,020 seconds is equal to 1,048,947,294 years, 45 weeks, 13 hours, 47 minutes.
-
To count from 1 to 32,988,972,844,648,020 would take you about three billion, one hundred forty-six million, eight hundred forty-one thousand, eight hundred eighty-four 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 32988972844648020 cubic inches would be around 26726.5 feet tall.
Recreational maths with 32988972844648020
- 32988972844648020 backwards is 02084644827988923
- The number of decimal digits it has is: 17
- The sum of 32988972844648020's digits is 84
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 32988972844648020 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 32988972844648020 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/32988972844648020/
Chicago style:
Numbermatics. 2024. "Number 32988972844648020 - Facts about the integer". https://numbermatics.com/n/32988972844648020/
The information we have on file for 32988972844648020 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 32988972844648020, math, Factors of 32988972844648020, curriculum, school, college, exams, university, Prime factorization of 32988972844648020, STEM, science, technology, engineering, physics, economics, calculator, thirty-two quadrillion, nine hundred eighty-eight trillion, nine hundred seventy-two billion, eight hundred forty-four million, six hundred forty-eight thousand and twenty.