972971484801322840416
972,971,484,801,322,840,416 is an even composite number composed of seven prime numbers multiplied together.
972971484801322840416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 972971484801322840416:
25 × 33 × 11 × 19 × 31 × 2011 × 86430359501
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 31 × 2011 × 86430359501)See below for interesting mathematical facts about the number 972971484801322840416 from the Numbermatics database.
Names of 972971484801322840416
- Cardinal: 972971484801322840416 can be written as Nine hundred seventy-two quintillion, nine hundred seventy-one quadrillion, four hundred eighty-four trillion, eight hundred one billion, three hundred twenty-two million, eight hundred forty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 9.72971484801322840416 × 1020
Factors of 972971484801322840416
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 86430361578
Divisors of 972971484801322840416
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 44 48 54 57 62 66 72 76 88 93 96 99 108 114 124 132 144 152 171 176 186 198 209 216 228 248 264 279 288 297 304 341 342 352 372 396 418 432 456 496 513 528 558 589 594 608 627 682 684 744 792 836 837 864 912 992 1023 1026 1056 1116 1178 1188 1254 1364 1368 1488 1584 1672 1674 1767 1824 1881 2011 2046 2052 2232 2356 2376 2508 2728 2736 2976 3069 3168 3344 3348 3534 3762 4022 4092 4104 4464 4712 4752 5016 5301 5456 5472 5643 6033 6138 6479 6688 6696 7068 7524 8044 8184 8208 8928 9207 9424 9504 10032 10602 10912 11286 12066 12276 12958 13392 14136 15048 15903 16088 16368 16416 18099 18414 18848 19437 20064 21204 22121 22572 24132 24552 25916 26784 28272 30096 31806 32176 32736 36198 36828 38209 38874 42408 44242 45144 48264 49104 51832 54297 56544 58311 60192 62341 63612 64352 66363 72396 73656 76418 77748 84816 88484 90288 96528 98208 103664 108594 114627 116622 124682 127224 132726 144792 147312 152836 155496 169632 174933 176968 180576 187023 193056 199089 207328 217188 229254 233244 249364 254448 265452 289584 294624 305672 310992 343881 349866 353936 374046 398178 420299 434376 458508 466488 498728 508896 530904 561069 579168 597267 611344 621984 685751 687762 699732 707872 748092 796356 840598 868752 917016 932976 997456 1031643 1061808 1122138 1184479 1194534 1222688 1260897 1371502 1375524 1399464 1496184 1592712 1681196 1683207 1737504 1834032 1865952 1994912 2057253 2063286 2123616 2244276 2368958 2389068 2521794 2743004 2751048 2798928 2992368 3185424 3362392 3366414 3553437 3668064 3782691 4114506 4126572 4488552 4737916 4778136 5043588 5486008 5502096 5597856 5984736 6171759 6370848 6724784 6732828 7106874 7565382 8229012 8253144 8977104 9475832 9556272 10087176 10660311 10972016 11004192 11348073 12343518 13029269 13449568 13465656 14213748 15130764 16458024 16506288 17954208 18515277 18951664 19112544 20174352 21320622 21944032 22696146 24687036 26058538 26931312 28427496 30261528 31980933 32916048 33012576 37030554 37903328 39087807 40348704 42641244 45392292 49374072 52117076 53862624 56854992 60523056 63961866 65832096 74061108 78175614 85282488 90784584 98748144 104234152 113709984 117263421 121046112 127923732 148122216 156351228 170564976 181569168 197496288 208468304 234526842 255847464 296244432 312702456 341129952 351790263 363138336 416936608 469053684 511694928 592488864 625404912 703580526 938107368 1023389856 1250809824 1407161052 1876214736 2814322104 3752429472 5628644208 11257288416 86430359501 172860719002 259291078503 345721438004 518582157006 691442876008 777873235509 950733954511 1037164314012 1382885752016 1555746471018 1642176830519 1901467909022 2074328628024 2333619706527 2679341144531 2765771504032 2852201863533 3111492942036 3284353661038 3802935818044 4148657256048 4667239413054 4926530491557 5358682289062 5704403727066 6222985884072 6568707322076 7605871636088 8038023433593 8297314512096 8556605590599 9334478826108 9853060983114 10717364578124 11408807454132 12445971768144 13137414644152 14779591474671 15211743272176 16076046867186 17113211181198 18063945135709 18668957652216 19706121966228 21434729156248 22817614908264 24114070300779 24891943536288 25669816771797 26274829288304 29472752589841 29559182949342 30423486544352 32152093734372 34226422362396 36127890271418 37337915304432 39412243932456 42869458312496 44338774424013 45635229816528 48228140601558 50907481746089 51339633543594 52549658576608 54191835407127 58945505179682 59118365898684 64304187468744 68452844724792 72255780542836 72342210902337 74675830608864 78824487864912 85738916624992 88418257769523 88677548848026 91270459633056 96456281203116 101814963492178 102679267087188 108383670814254 117891010359364 118236731797368 128608374937488 136905689449584 144511561085672 144684421804674 152722445238267 157648975729824 162575506221381 173811452956511 176836515539046 177355097696052 192912562406232 203629926984356 205358534174376 216767341628508 235782020718728 236473463594736 257216749874976 265254773308569 273811378899168 289023122171344 289368843609348 305444890476534 325151012442762 347622905913022 353673031078092 354710195392104 385825124812464 407259853968712 410717068348752 433534683257016 458167335714801 471564041437456 472946927189472 487726518664143 521434358869533 530509546617138 559982299206979 578046244342688 578737687218696 610889780953068 650302024885524 695245811826044 707346062156184 709420390784208 771650249624928 795764319925707 814519707937424 821434136697504 867069366514032 916334671429602 943128082874912 975453037328286 1042868717739066 1061019093234276 1119964598413958 1157475374437392 1221779561906136 1300604049771048 1374502007144403 1390491623652088 1414692124312368 1418840781568416 1564303076608599 1591528639851414 1629039415874848 1679946897620937 1734138733028064 1832669342859204 1911925982521621 1950906074656572 2085737435478132 2122038186468552 2239929196827916 2314950748874784 2443559123812272 2601208099542096 2749004014288806 2780983247304176 2829384248624736 3128606153217198 3183057279702828 3302417606173709 3359893795241874 3665338685718408 3823851965043242 3901812149313144 4171474870956264 4244076372937104 4479858393655832 4692909229825797 4887118247624544 5039840692862811 5202416199084192 5388155041651841 5498008028577612 5561966494608352 5735777947564863 6257212306434396 6366114559405656 6604835212347418 6719787590483748 7330677371436816 7647703930086484 7803624298626288 8342949741912528 8488152745874208 8959716787311664 9385818459651594 9907252818521127 10079681385725622 10776310083303682 10996016057155224 11471555895129726 12514424612868792 12732229118811312 13209670424694836 13439575180967496 14661354742873632 15119522078588433 15295407860172968 15607248597252576 16164465124955523 16685899483825056 17207333842694589 17919433574623328 18771636919303188 19814505637042254 20159362771451244 21552620166607364 21992032114310448 22943111790259452 25028849225737584 25464458237622624 26419340849389672 26879150361934992 29721758455563381 30239044157176866 30590815720345936 32328930249911046 34414667685389178 36326593667910799 37543273838606376 39629011274084508 40318725542902488 43105240333214728 43984064228620896 45886223580518904 48493395374866569 50057698451475168 51622001528083767 52838681698779344 53758300723869984 59269705458170251 59443516911126762 60478088314353732 61181631440691872 64657860499822092 68829335370778356 72653187335821598 75086547677212752 79258022548169016 80637451085804976 86210480666429456 89165275366690143 91772447161037808 96986790749733138 102374945791384979 103244003056167534 105677363397558688 108979781003732397 118539410916340502 118887033822253524 120956176628707464 129315720999644184 137658670741556712 145306374671643196 145480186124599707 150173095354425504 158516045096338032 161274902171609952 172420961332858912 177809116374510753 178330550733380286 183544894322075616 193973581499466276 204749891582769958 206488006112335068 217959562007464794 237078821832681004 237774067644507048 241912353257414928 258631441999288368 275317341483113424 290612749343286392 290960372249199414 307124837374154937 317032090192676064 326939343011197191 355618232749021506 356661101466760572 387947162998932552 409499783165539916 412976012224670136 435919124014929588 474157643665362008 475548135289014096 483824706514829856 517262883998576736 533427349123532259 550634682966226848 581225498686572784 581920744498398828 614249674748309874 653878686022394382 711236465498043012 713322202933521144 775894325997865104 818999566331079832 825952024449340272 871838248029859176 921374512122464811 948315287330724016 951096270578028192 980818029033591573 1066854698247064518 1126124403705234769 1162450997373145568 1163841488996797656 1228499349496619748 1307757372044788764 1422472930996086024 1426644405867042288 1551788651995730208 1600282047370596777 1637999132662159664 1651904048898680544 1743676496059718352 1842749024244929622 1896630574661448032 1961636058067183146 2133709396494129036 2252248807410469538 2327682977993595312 2456998698993239496 2615514744089577528 2764123536367394433 2844945861992172048 2853288811734084576 3200564094741193554 3275998265324319328 3378373211115704307 3487352992119436704 3685498048489859244 3923272116134366292 4267418792988258072 4504497614820939076 4655365955987190624 4913997397986478992 5231029488179155056 5528247072734788866 5689891723984344096 6401128189482387108 6756746422231408614 7370996096979718488 7846544232268732584 8534837585976516144 9008995229641878152 9827994795972957984 10135119633347112921 10462058976358310112 11056494145469577732 12802256378964774216 13513492844462817228 14741992193959436976 15693088464537465168 17069675171953032288 18017990459283756304 20270239266694225842 22112988290939155464 25604512757929548432 27026985688925634456 29483984387918873952 30405358900041338763 31386176929074930336 36035980918567512608 40540478533388451684 44225976581878310928 51209025515859096864 54053971377851268912 60810717800082677526 81080957066776903368 88451953163756621856 108107942755702537824 121621435600165355052 162161914133553806736 243242871200330710104 324323828267107613472 486485742400661420208 972971484801322840416
- Sum of all divisors σ(n): 3365550074583709286400
- Sum of proper divisors (its aliquot sum) s(n): 2392578589782386445984
- 972971484801322840416 is an abundant number, because the sum of its proper divisors (2392578589782386445984) is greater than itself. Its abundance is 1419607104981063605568
Bases of 972971484801322840416
- Binary: 11010010111110101100010001101001100111001001110011100111110001011000002
- Hexadecimal: 0x34BEB11A672739F160
- Base-36: 5PC6IU4AEX28O0
Squares and roots of 972971484801322840416
- 972971484801322840416 squared (9729714848013228404162) is 946673510236490803047419689260366203053056
- 972971484801322840416 cubed (9729714848013228404163) is 921086330876878753762689719620696541105737963057907845069111296
-
The
square root of 972971484801322840416 is 31192490839.9653592079 -
The
cube root of 972971484801322840416 is 9909080.8249140775
Scales and comparisons
How big is 972971484801322840416?- 972,971,484,801,322,840,416 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 972,971,484,801,322,840,416 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 972971484801322840416 cubic inches would be around 825756.7 feet tall.
Recreational maths with 972971484801322840416
- 972971484801322840416 backwards is 614048223108484179279
- The number of decimal digits it has is: 21
- The sum of 972971484801322840416's digits is 90
- More coming soon!
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The information we have on file for 972971484801322840416 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 972971484801322840416, math, Factors of 972971484801322840416, curriculum, school, college, exams, university, Prime factorization of 972971484801322840416, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two quintillion, nine hundred seventy-one quadrillion, four hundred eighty-four trillion, eight hundred one billion, three hundred twenty-two million, eight hundred forty thousand, four hundred sixteen.