997820972009680
997,820,972,009,680 is an even composite number composed of six prime numbers multiplied together.
997820972009680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 997820972009680:
24 × 5 × 77 × 13 × 23 × 373
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 23 × 37 × 37 × 37)See below for interesting mathematical facts about the number 997820972009680 from the Numbermatics database.
Names of 997820972009680
- Cardinal: 997820972009680 can be written as Nine hundred ninety-seven trillion, eight hundred twenty billion, nine hundred seventy-two million, nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 9.9782097200968 × 1014
Factors of 997820972009680
Divisors of 997820972009680
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 26 28 35 37 40 46 49 52 56 65 70 74 80 91 92 98 104 112 115 130 140 148 161 182 184 185 196 208 230 245 259 260 280 296 299 322 343 364 368 370 392 455 460 481 490 518 520 560 592 598 637 644 686 728 740 784 805 851 910 920 962 980 1036 1040 1127 1196 1274 1288 1295 1369 1372 1456 1480 1495 1610 1702 1715 1813 1820 1840 1924 1960 2072 2093 2254 2392 2401 2405 2548 2576 2590 2738 2744 2960 2990 3185 3220 3367 3404 3430 3626 3640 3848 3920 4144 4186 4255 4459 4508 4784 4802 4810 5096 5180 5476 5488 5635 5957 5980 6370 6440 6734 6808 6845 6860 7252 7280 7696 7889 8372 8510 8918 9016 9065 9583 9604 9620 10192 10360 10465 10952 11063 11270 11914 11960 12005 12691 12740 12880 13468 13616 13690 13720 14504 14651 15778 16744 16807 16835 17020 17797 17836 18032 18130 19166 19208 19240 20720 20930 21904 22126 22295 22540 23569 23828 23920 24010 25382 25480 26936 27380 27440 29008 29302 29785 31213 31487 31556 33488 33614 33670 34040 35594 35672 36260 38332 38416 38480 39445 41699 41860 44252 44590 45080 47138 47656 47915 48020 50653 50764 50960 53872 54760 55223 55315 58604 59570 62426 62974 63112 63455 67081 67228 67340 68080 71188 71344 72520 73255 76664 77441 78890 83398 83720 84035 88504 88837 88985 89180 90160 94276 95312 95830 96040 101306 101528 102557 109520 110446 110630 117208 117649 117845 119140 124579 124852 125948 126224 126910 134162 134456 134680 142376 145040 146510 153328 154882 156065 157435 157780 164983 166796 167440 168070 177008 177674 177970 178360 188552 191660 192080 202612 203056 205114 208495 218491 220409 220892 221260 234416 235298 235690 238280 249158 249704 251896 253265 253820 268324 268912 269360 276115 284752 291893 293020 309764 312130 314870 315560 329966 333592 335405 336140 354571 355348 355940 356720 377104 383320 386561 387205 405224 409331 410228 416990 436982 440818 441784 442520 444185 469567 470596 471380 476560 498316 499408 503792 506530 507640 512785 536648 542087 552230 583786 586040 588245 619528 621859 622895 624260 629740 631120 658489 659932 667184 670810 672280 709142 710696 711880 717899 766640 773122 774410 810448 818662 820456 823543 824915 833980 872053 873964 881636 883568 885040 888370 939134 941192 942760 996632 1013060 1015280 1025570 1073296 1084174 1092455 1102045 1104460 1154881 1165019 1167572 1172080 1176490 1239056 1243718 1245790 1248520 1259480 1316978 1319864 1341620 1344560 1418284 1421392 1423760 1435798 1459465 1529437 1542863 1546244 1548820 1637324 1640912 1647086 1649830 1667960 1744106 1747928 1763272 1772855 1776740 1878268 1882384 1885520 1932805 1993264 2026120 2043251 2046655 2051140 2168348 2184910 2204090 2208920 2309762 2330038 2335144 2347835 2352980 2481997 2487436 2491580 2497040 2518960 2633956 2639728 2683240 2705927 2710435 2836568 2865317 2871596 2918930 3058874 3085726 3092488 3097640 3109295 3274648 3286969 3292445 3294172 3299660 3335920 3488212 3495856 3526544 3545710 3553480 3589495 3756536 3794609 3865610 4052240 4086502 4093310 4102280 4117715 4336696 4353013 4360265 4369820 4408180 4417840 4609423 4619524 4660076 4670288 4695670 4705960 4963994 4974872 4983160 5025293 5267912 5366480 5411854 5420870 5673136 5730634 5743192 5774405 5825095 5837860 6104371 6117748 6171452 6184976 6195280 6218590 6549296 6573938 6584890 6588344 6599320 6976424 7091420 7106960 7178990 7513072 7589218 7647185 7714315 7731220 8084167 8155133 8173004 8186620 8204560 8235430 8673392 8706026 8720530 8739640 8816360 9218846 9239048 9320152 9391340 9411920 9927988 9949744 9966320 10050586 10216255 10535824 10706059 10800041 10823708 10841740 11461268 11486384 11548810 11650190 11675720 12208742 12235496 12342904 12409985 12437180 13147876 13169780 13176688 13198640 13529635 13952848 14182840 14302757 14326585 14357980 15145247 15178436 15294370 15428630 15462440 16168334 16310266 16346008 16373240 16434845 16470860 17373979 17412052 17441060 17479280 17632720 18437692 18478096 18640304 18782680 18941489 18973045 19855976 20057219 20101172 20432510 21412118 21600082 21647416 21683480 21765065 22922536 23008783 23047115 23097620 23300380 23351440 24417484 24470992 24685808 24819970 24874360 25126465 26295752 26339560 26562263 27059270 28365680 28605514 28653170 28715960 30290494 30356872 30471091 30521855 30588740 30857260 30924880 32265961 32336668 32620532 32692016 32746480 32869690 32941720 34747958 34824104 34882120 35177051 36875384 37565360 37882978 37946090 39711952 40114438 40202344 40420835 40775665 40865020 42730597 42824236 43200164 43294832 43366960 43530130 45845072 46017566 46094230 46195240 46600760 48834968 49639940 49748720 50252930 52591504 52679120 53124526 53530295 54000205 54118540 56589169 57085931 57211028 57306340 57431920 60580988 60713744 60942182 61043710 61177480 61714520 64531922 64673336 65241064 65739380 65883440 69495916 69648208 69764240 70354102 71513785 73750768 75600287 75726235 75765956 75892180 80228876 80404688 80841670 81551330 81730040 85461194 85648472 86400328 86869895 87060260 92035132 92188460 92390480 93201520 94707445 97669936 99279880 100119299 100286095 100505860 106016729 106249052 107060590 108000410 108237080 113178338 114171862 114422056 114612680 115043915 121161976 121617853 121884364 122087420 122354960 123429040 129063844 129346672 130482128 131478760 132811315 138991832 140400533 140708204 143027570 151200574 151452470 151531912 151784360 152355455 160457752 161061481 161329805 161683340 163102660 163460080 170922388 171296944 172800656 173739790 174120520 175885255 184070264 184376920 185935841 189414890 198559760 200238598 200572190 201011720 212033458 212498104 213652985 214121180 216000820 216474160 225861727 226356676 228343724 228844112 229225360 230087830 242323952 243235706 243768728 244174840 246239357 258127688 262957520 265622630 277983664 280801066 281416408 282945845 285429655 286055140 299114179 302401148 302904940 303063824 303568720 304710910 320915504 322122962 322659610 323366680 326205320 341844776 347479580 348241040 351770510 368140528 368753840 371871682 378001435 378829780 396124183 399601517 400477196 401144380 402023440 424066916 424996208 427305970 428242360 432001640 451723454 452713352 456687448 460175660 486471412 487537456 488349680 492478714 500596495 516255376 529202009 530083645 531245260 561602132 562832816 565891690 570859310 572110280 598228358 604802296 605809880 608089265 609421820 644245924 645319220 646733360 652410640 683689552 694959160 700835093 702002665 703541020 742117103 743743364 756002870 757659560 792248366 799203034 800954392 802288760 805307405 848133832 851324971 854611940 856484720 864003280 903446908 905426704 913374896 920351320 929679205 972942824 982803731 984957428 1001192990 1058404018 1060167290 1062490520 1123204264 1127430367 1129308635 1131783380 1141718620 1144220560 1196456716 1209604592 1211619760 1216178530 1218843640 1231196785 1288491848 1290638440 1301550887 1389918320 1401670186 1404005330 1407082040 1484234206 1487486728 1495570895 1512005740 1515319120 1581032089 1584496732 1598406068 1601908784 1604577520 1610614810 1696267664 1702649942 1709223880 1806893816 1840702640 1859358410 1945885648 1965607462 1969914856 1980620915 1998007585 2002385980 2093799253 2116808036 2120334580 2124981040 2246408528 2254860734 2258617270 2263566760 2283437240 2392913432 2432357060 2437687280 2462393570 2576983696 2581276880 2603101774 2646010045 2797210619 2803340372 2808010660 2814164080 2968468412 2974973456 2991141790 3024011480 3162064178 3168993464 3196812136 3221229620 3405299884 3418447760 3504175465 3613787632 3704414063 3710585515 3718716820 3931214924 3939829712 3961241830 3996015170 4004771960 4187598506 4233616072 4240669160 4256624855 4509721468 4517234540 4527133520 4566874480 4785826864 4864714120 4914018655 4924787140 5194819721 5206203548 5292020090 5594421238 5606680744 5616021320 5637151835 5936936824 5959274797 5982283580 6048022960 6324128356 6337986928 6393624272 6442459240 6507754435 6810599768 6879626117 7008350930 7408828126 7421171030 7437433640 7862429848 7905160445 7922483660 7992030340 8009543920 8375197012 8467232144 8481338320 8513249710 9019442936 9034469080 9110856209 9729428240 9828037310 9849574280 10389639442 10412407096 10468996265 10584040180 11067224623 11188842476 11213361488 11232042640 11274303670 11873873648 11918549594 11964567160 12648256712 12884918480 13015508870 13621199536 13759252234 13986053095 14016701860 14656594771 14817656252 14842342060 14874867280 15724859696 15810320890 15844967320 15984060680 16750394024 17026499420 18038885872 18068938160 18221712418 18522070315 19580474333 19656074620 19699148560 20779278884 20824814192 20937992530 21168080360 22134449246 22377684952 22548607340 23837099188 23929134320 25296513424 25930898441 25974098605 26031017740 27518504468 27972106190 28033403720 29313189542 29635312504 29684684120 29796373985 31620641780 31689934640 31968121360 33500788048 34052998840 34398130585 36363738047 36443424836 37044140630 39160948666 39312149240 41558557768 41714923579 41875985060 42336160720 44268898492 44755369904 45097214680 45554281045 47674198376 48157382819 51861796882 51948197210 52062035480 55037008936 55336123115 55944212380 56066807440 58626379084 59270625008 59369368240 59592747970 63241283560 68105997680 68796261170 72727476094 72886849672 73282973855 74088281260 77470572361 78321897332 78624298480 83117115536 83429847158 83751970120 88537796984 90194429360 91108562090 95348396752 96314765638 97902371665 103723593764 103896394420 104124070960 110074017872 110672246230 111888424760 117252758168 119185495940 126482567120 129654492205 137063320331 137592522340 145454952188 145773699344 146565947710 148176562520 154941144722 156643794664 166859694316 167503940240 177075593968 181818690235 182217124180 192629531276 195804743330 207447187528 207792788840 208574617895 221344492460 223776849520 234505516336 238370991880 240786914095 254546166329 259308984410 274126640662 275185044680 290909904376 293131895420 296353125040 309882289444 313287589328 333719388632 337101679733 363637380470 364434248360 385259062552 387352861805 391609486660 414894375056 415585577680 417149235790 442688984920 476741983760 481573828190 509092332658 518617968820 542294006527 548253281324 550370089360 581819808752 586263790840 619764578888 667438777264 674203359466 685316601655 727274760940 728868496720 770518125104 774705723610 783218973320 834298471580 885377969840 959443242317 963147656380 1018184665316 1037235937640 1084588013054 1096506562648 1172527581680 1239529157776 1272730831645 1348406718932 1370633203310 1454549521880 1549411447220 1566437946640 1668596943160 1685508398665 1781823164303 1918886484634 1926295312760 2036369330632 2074471875280 2169176026108 2193013125296 2545461663290 2696813437864 2711470032635 2741266406620 2909099043760 3098822894440 3337193886320 3371016797330 3563646328606 3837772969268 3852590625520 4072738661264 4338352052216 4797216211585 5090923326580 5393626875728 5422940065270 5482532813240 6197645788880 6742033594660 7127292657212 7675545938536 8676704104432 8909115821515 9594432423170 10181846653160 10845880130540 10965065626480 12472762150121 13484067189320 14254585314424 15351091877072 17818231643030 19188864846340 20363693306320 21691760261080 24945524300242 26968134378640 28509170628848 35636463286060 38377729692680 43383520522160 49891048600484 62363810750605 71272926572120 76755459385360 99782097200968 124727621501210 142545853144240 199564194401936 249455243002420 498910486004840 997820972009680
- Sum of all divisors σ(n): 3126002923008000
- Sum of proper divisors (its aliquot sum) s(n): 2128181950998320
- 997820972009680 is an abundant number, because the sum of its proper divisors (2128181950998320) is greater than itself. Its abundance is 1130360978988640
Bases of 997820972009680
- Binary: 111000101110000011010011001001011000001000110100002
- Hexadecimal: 0x38B834C9608D0
- Base-36: 9TP4MJRDN4
Squares and roots of 997820972009680
- 997820972009680 squared (9978209720096802) is 995646692182342598018013702400
- 997820972009680 cubed (9978209720096803) is 993477150171607752371664782386901105439232000
-
The
square root of 997820972009680 is 31588304.3547715615 -
The
cube root of 997820972009680 is 99927.3129123299
Scales and comparisons
How big is 997820972009680?- 997,820,972,009,680 seconds is equal to 31,727,620 years, 23 weeks, 1 day, 16 hours, 54 minutes, 40 seconds.
-
To count from 1 to 997,820,972,009,680 would take you about seventy-nine million, three hundred nineteen thousand and fifty-one 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 997820972009680 cubic inches would be around 8327.3 feet tall.
Recreational maths with 997820972009680
- 997820972009680 backwards is 086900279028799
- The number of decimal digits it has is: 15
- The sum of 997820972009680's digits is 76
- More coming soon!
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Numbermatics. (2024). Number 997820972009680 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/997820972009680/
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The information we have on file for 997820972009680 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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