972797021078814720
972,797,021,078,814,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 972797021078814720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
972797021078814720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 972797021078814720:
217 × 36 × 5 × 23 × 974
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 23 × 97 × 97 × 97 × 97)See below for interesting mathematical facts about the number 972797021078814720 from the Numbermatics database.
Names of 972797021078814720
- Cardinal: 972797021078814720 can be written as Nine hundred seventy-two quadrillion, seven hundred ninety-seven trillion, twenty-one billion, seventy-eight million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 9.7279702107881472 × 1017
Factors of 972797021078814720
Divisors of 972797021078814720
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 81 90 92 96 97 108 115 120 128 135 138 144 160 162 180 184 192 194 207 216 230 240 243 256 270 276 288 291 320 324 345 360 368 384 388 405 414 432 460 480 485 486 512 540 552 576 582 621 640 648 690 720 729 736 768 776 810 828 864 873 920 960 970 972 1024 1035 1080 1104 1152 1164 1215 1242 1280 1296 1380 1440 1455 1458 1472 1536 1552 1620 1656 1728 1746 1840 1863 1920 1940 1944 2048 2070 2160 2208 2231 2304 2328 2430 2484 2560 2592 2619 2760 2880 2910 2916 2944 3072 3104 3105 3240 3312 3456 3492 3645 3680 3726 3840 3880 3888 4096 4140 4320 4365 4416 4462 4608 4656 4860 4968 5120 5184 5238 5520 5589 5760 5820 5832 5888 6144 6208 6210 6480 6624 6693 6912 6984 7290 7360 7452 7680 7760 7776 7857 8192 8280 8640 8730 8832 8924 9216 9312 9315 9409 9720 9936 10240 10368 10476 11040 11155 11178 11520 11640 11664 11776 12288 12416 12420 12960 13095 13248 13386 13824 13968 14580 14720 14904 15360 15520 15552 15714 16384 16560 16767 17280 17460 17664 17848 18432 18624 18630 18818 19440 19872 20079 20480 20736 20952 22080 22310 22356 23040 23280 23328 23552 23571 24576 24832 24840 25920 26190 26496 26772 27648 27936 27945 28227 29160 29440 29808 30720 31040 31104 31428 32768 33120 33465 33534 34560 34920 35328 35696 36864 37248 37260 37636 38880 39285 39744 40158 40960 41472 41904 44160 44620 44712 46080 46560 46656 47045 47104 47142 49152 49664 49680 51840 52380 52992 53544 55296 55872 55890 56454 58320 58880 59616 60237 61440 62080 62208 62856 65536 66240 66930 67068 69120 69840 70656 70713 71392 73728 74496 74520 75272 77760 78570 79488 80316 81920 82944 83808 83835 84681 88320 89240 89424 92160 93120 93312 94090 94208 94284 98304 99328 99360 100395 103680 104760 105984 107088 110592 111744 111780 112908 116640 117760 117855 119232 120474 122880 124160 124416 125712 131072 132480 133860 134136 138240 139680 141135 141312 141426 142784 147456 148992 149040 150544 155520 157140 158976 160632 163840 165888 167616 167670 169362 176640 178480 178848 180711 184320 186240 186624 188180 188416 188568 196608 198656 198720 200790 207360 209520 211968 214176 216407 221184 223488 223560 225816 233280 235520 235710 238464 240948 245760 248320 248832 251424 254043 264960 267720 268272 276480 279360 282270 282624 282852 285568 294912 297984 298080 301088 301185 311040 314280 317952 321264 327680 331776 335232 335340 338724 353280 353565 356960 357696 361422 368640 372480 373248 376360 376832 377136 393216 397312 397440 401580 414720 419040 423405 423936 428352 432814 442368 446976 447120 451632 466560 471040 471420 476928 481896 491520 496640 497664 502848 508086 529920 535440 536544 542133 552960 558720 564540 565248 565704 571136 589824 595968 596160 602176 602370 622080 628560 635904 642528 649221 655360 663552 670464 670680 677448 706560 707130 713920 715392 722844 737280 744960 746496 752720 753664 754272 762129 794624 794880 803160 829440 838080 846810 847872 856704 865628 884736 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9793784442240 9895803030180 10317731758080 10326055335840 10339005431808 10425208130560 10446703405056 10555523232192 10878478049280 10900907900928 11014459024896 11487783813120 11603709919232 11607448227840 11728359146880 11874963636216 12112119889920 12238287805440 12381278109696 12510249756672 12923756789760 13054173659136 13058379256320 13194404040240 13626134876160 13756975677440 13768073781120 13928937873408 14074030976256 14504637399040 14534543867904 14685945366528 14843704545270 15476597637120 15637812195840 15670055107584 15833284848288 16149493186560 16317717073920 16521688537344 16680333008896 17231675719680 17405564878848 17411172341760 17592538720320 18168179834880 18357431708160 18571917164544 18765374635008 19581260488704 19587568884480 19791606060360 20635463516160 20652110671680 20678010863616 20850416261120 20893406810112 21111046464384 21756956098560 21801815801856 22028918049792 23214896455680 23456718293760 23749927272432 24224239779840 24476575610880 24762556219392 25020499513344 25847513579520 26108347318272 26116758512640 26388808080480 27252269752320 27536147562240 27857875746816 28148061952512 29009274798080 29069087735808 29371890733056 29687409090540 30953195274240 31275624391680 31340110215168 31666569696576 32635434147840 33043377074688 33360666017792 34463351439360 34811129757696 34822344683520 35185077440640 36336359669760 36714863416320 37143834329088 37530749270016 39162520977408 39175137768960 39583212120720 41270927032320 41304221343360 41700832522240 41786813620224 42222092928768 43513912197120 43603631603712 44057836099584 46429792911360 46913436587520 47499854544864 48448479559680 48953151221760 50040999026688 51695027159040 52216694636544 52233517025280 52777616160960 54504539504640 55072295124480 55715751493632 56296123905024 58018549596160 58743781466112 59374818181080 61906390548480 62551248783360 62680220430336 63333139393152 65270868295680 66086754149376 66721332035584 69644689367040 70370154881280 72672719339520 73429726832640 74287668658176 75061498540032 78325041954816 78350275537920 79166424241440 82608442686720 83401665044480 83573627240448 84444185857536 87027824394240 87207263207424 88115672199168 92859585822720 93826873175040 94999709089728 97906302443520 100081998053376 103390054318080 104433389273088 104467034050560 105555232321920 109009079009280 110144590248960 111431502987264 112592247810048 117487562932224 118749636362160 123812781096960 125102497566720 125360440860672 126666278786304 130541736591360 132173508298752 133442664071168 139289378734080 140740309762560 145345438679040 146859453665280 150122997080064 156650083909632 156700551075840 158332848482880 165216885373440 166803330088960 167147254480896 168888371715072 174055648788480 176231344398336 185719171645440 187653746350080 189999418179456 195812604887040 200163996106752 208934068101120 211110464643840 218018158018560 220289180497920 222863005974528 225184495620096 234975125864448 237499272724320 250204995133440 250720881721344 253332557572608 261083473182720 264347016597504 266885328142336 278578757468160 281480619525120 293718907330560 300245994160128 313300167819264 313401102151680 316665696965760 330433770746880 333606660177920 334294508961792 337776743430144 352462688796672 371438343290880 375307492700160 379998836358912 391625209774080 400327992213504 417868136202240 422220929287680 436036316037120 440578360995840 450368991240192 469950251728896 474998545448640 500409990266880 501441763442688 506665115145216 522166946365440 528694033195008 557157514936320 562961239050240 587437814661120 600491988320256 626802204303360 633331393931520 660867541493760 667213320355840 668589017923584 675553486860288 704925377593344 750614985400320 759997672717824 783250419548160 800655984427008 835736272404480 844441858575360 881156721991680 900737982480384 939900503457792 949997090897280 1000819980533760 1002883526885376 1013330230290432 1057388066390016 1114315029872640 1125922478100480 1174875629322240 1200983976640512 1253604408606720 1266662787863040 1321735082987520 1334426640711680 1351106973720576 1409850755186688 1501229970800640 1519995345435648 1566500839096320 1671472544808960 1688883717150720 1762313443983360 1801475964960768 1899994181794560 2001639961067520 2005767053770752 2026660460580864 2114776132780032 2251844956200960 2349751258644480 2401967953281024 2507208817213440 2533325575726080 2643470165975040 2702213947441152 2819701510373376 3002459941601280 3039990690871296 3342945089617920 3377767434301440 3524626887966720 3602951929921536 3799988363589120 4003279922135040 4053320921161728 4229552265560064 4503689912401920 4699502517288960 5014417634426880 5066651151452160 5286940331950080 5404427894882304 6004919883202560 6079981381742592 6755534868602880 7049253775933440 7205903859843072 7599976727178240 8106641842323456 8459104531120128 9007379824803840 10028835268853760 10133302302904320 10573880663900160 10808855789764608 12009839766405120 12159962763485184 13511069737205760 14098507551866880 15199953454356480 16213283684646912 18014759649607680 20266604605808640 21147761327800320 21617711579529216 24319925526970368 27022139474411520 30399906908712960 32426567369293824 36029519299215360 40533209211617280 42295522655600640 48639851053940736 54044278948823040 60799813817425920 64853134738587648 81066418423234560 97279702107881472 108088557897646080 121599627634851840 162132836846469120 194559404215762944 243199255269703680 324265673692938240 486398510539407360 972797021078814720
- Sum of all divisors σ(n): 3690696708666552816
- Sum of proper divisors (its aliquot sum) s(n): 2717899687587738096
- 972797021078814720 is an abundant number, because the sum of its proper divisors (2717899687587738096) is greater than itself. Its abundance is 1745102666508923376
Bases of 972797021078814720
- Binary: 1101100000000001000110111100100011111111011000000000000000002
- Hexadecimal: 0xD8011BC8FF60000
- Base-36: 7E2JRI03K000
Squares and roots of 972797021078814720
- 972797021078814720 squared (9727970210788147202) is 946334044219815890660110000088678400
- 972797021078814720 cubed (9727970210788147203) is 920590939162504220324269139492503268173235563266048000
-
The
square root of 972797021078814720 is 986304730.3337922855 -
The
cube root of 972797021078814720 is 990848.8523051977
Scales and comparisons
How big is 972797021078814720?- 972,797,021,078,814,720 seconds is equal to 30,931,936,211 years, 28 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 972,797,021,078,814,720 would take you about ninety-two billion, seven hundred ninety-five million, eight hundred eight thousand, six hundred thirty-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 972797021078814720 cubic inches would be around 82570.7 feet tall.
Recreational maths with 972797021078814720
- 972797021078814720 backwards is 027418870120797279
- 972797021078814720 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 972797021078814720's digits is 81
- More coming soon!
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"Number 972797021078814720 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 972797021078814720 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/972797021078814720/
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Numbermatics. 2024. "Number 972797021078814720 - Facts about the integer". https://numbermatics.com/n/972797021078814720/
The information we have on file for 972797021078814720 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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