315997363728285120

Names of 315997363728285120

• Cardinal: 315997363728285120 can be written as Three hundred fifteen quadrillion, nine hundred ninety-seven trillion, three hundred sixty-three billion, seven hundred twenty-eight million, two hundred eighty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 3.1599736372828512 × 10¹⁷

Factors of 315997363728285120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 13593834

Divisors of 315997363728285120

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 269 270 280 288 315 320 336 360 378 420 432 448 480 504 538 540 560 576 630 672 720 756 807 840 864 945 960 1008 1076 1080 1120 1260 1344 1345 1429 1440 1512 1614 1680 1728 1883 1890 2016 2152 2160 2240 2421 2520 2690 2858 2880 3024 3228 3360 3766 3780 4032 4035 4287 4304 4320 4842 5040 5380 5649 5716 6048 6456 6720 7145 7263 7532 7560 8070 8574 8608 8640 9415 9684 10003 10080 10760 11298 11432 12096 12105 12861 12912 14290 14526 15064 15120 16140 16947 17148 17216 18830 19368 20006 20160 21435 21520 22596 22864 24210 25722 25824 28245 28580 29052 30009 30128 30240 32280 33894 34296 36315 37660 38583 38736 40012 42870 43040 45192 45728 48420 50015 50841 51444 51648 56490 57160 58104 60018 60256 60480 64305 64560 67788 68592 72630 75320 77166 77472 80024 84735 85740 86080 90027 90384 91456 96840 100030 101682 102888 112980 114320 116208 120036 120512 128610 129120 135576 137184 145260 150045 150640 154332 154944 160048 169470 171480 180054 180768 192915 193680 200060 203364 205776 225960 228640 232416 240072 254205 257220 258240 270081 271152 274368 290520 300090 301280 308664 320096 338940 342960 360108 361536 384401 385830 387360 400120 406728 411552 450135 451920 457280 464832 480144 508410 514440 540162 542304 581040 600180 602560 617328 640192 677880 685920 720216 768802 771660 774720 800240 813456 823104 900270 903840 960288 1016820 1028880 1080324 1084608 1153203 1162080 1200360 1234656 1350405 1355760 1371840 1440432 1537604 1543320 1600480 1626912 1800540 1807680 1920576 1922005 2033640 2057760 2160648 2306406 2324160 2400720 2469312 2690807 2700810 2711520 2880864 3075208 3086640 3200960 3253824 3459609 3601080 3844010 4067280 4115520 4321296 4612812 4801440 5381614 5401620 5423040 5761728 5766015 6150416 6173280 6919218 7202160 7688020 8072421 8134560 8642592 9225624 9602880 10378827 10763228 10803240 11532030 12300832 12346560 13454035 13592119 13838436 14404320 15376040 16144842 16269120 17285184 17298045 18451248 20757654 21526456 21606480 23064060 24217263 24601664 26908070 27184238 27676872 28808640 30752080 32289684 34596090 36902496 40362105 40776357 41515308 43052912 43212960 46128120 48434526 51894135 53816140 54368476 55353744 61504160 64579368 67960595 69192180 72651789 73804992 80724210 81552714 83030616 86105824 86425920 92256240 95144833 96869052 103788270 107632280 108736952 110707488 121086315 122329071 123008320 129158736 135921190 138384360 145303578 161448420 163105428 166061232 172211648 184512480 190289666 193738104 203881785 207576540 215264560 217473904 221414976 242172630 244658142 258317472 271842380 276768720 285434499 290607156 322896840 326210856 332122464 363258945 366987213 369024960 380579332 387476208 407763570 415153080 430529120 434947808 475724165 484345260 489316284 516634944 543684760 553537440 570868998 581214312 611645355 645793680 652421712 664244928 726517890 733974426 761158664 774952416 815527140 830306160 856303497 861058240 869895616 951448330 968690520 978632568 1087369520 1107074880 1141737996 1162428624 1223290710 1291587360 1304843424 1427172495 1453035780 1467948852 1522317328 1549904832 1631054280 1660612320 1712606994 1834936065 1902896660 1937381040 1957265136 2174739040 2283475992 2324857248 2446581420 2568910491 2583174720 2609686848 2854344990 2906071560 2935897704 3044634656 3262108560 3321224640 3425213988 3656280011 3669872130 3805793320 3874762080 3914530272 4281517485 4349478080 4566951984 4649714496 4893162840 5137820982 5708689980 5812143120 5871795408 6089269312 6524217120 6850427976 7312560022 7339744260 7611586640 7749524160 7829060544 8563034970 9133903968 9786325680 10275641964 10968840033 11417379960 11624286240 11743590816 12844552455 13048434240 13700855952 14625120044 14679488520 15223173280 17126069940 18267807936 18281400055 19423138051 19572651360 20551283928 21937680066 22834759920 23248572480 23487181632 25593960077 25689104910 27401711904 29250240088 29358977040 30446346560 32906520099 34252139880 36562800110 38846276102 39145302720 41102567856 43875360132 45669519840 51187920154 51378209820 54803423808 54844200165 58269414153 58500480176 58717954080 65813040198 68504279760 73125600220 76781880231 77692552204 82205135712 87750720264 91339039680 97115690255 98719560297 102375840308 102756419640 109688400330 116538828306 117000960352 117435908160 127969800385 131626080396 135961966357 137008559520 146251200440 153563760462 155385104408 164410271424 164532600495 174808242459 175501440528 194231380510 197439120594 204751680616 205512839280 219376800660 230345640693 233077656612 234001920704 255939600770 263252160792 271923932714 274017119040 291347070765 292502400880 307127520924 310770208816 329065200990 349616484918 351002881056 383909401155 388462761020 394878241188 407885899071 409503361232 411025678560 438753601320 460691281386 466155313224 493597801485 511879201540 524424727377 526504321584 543847865428 582694141530 585004801760 614255041848 621540417632 658130401980 679809831785 691036922079 699232969836 702005762112 767818802310 776925522040 789756482376 815771798142 819006722464 822051357120 874041212295 877507202640 921382562772 932310626448 987195602970 1023758403080 1048849454754 1053008643168 1087695730856 1151728203465 1165388283060 1170009603520 1223657697213 1228510083696 1243080835264 1316260803960 1359619663570 1382073844158 1398465939672 1535637604620 1553851044080 1579512964752 1631543596284 1638013444928 1748082424590 1755014405280 1842765125544 1864621252896 1974391205940 2039429495355 2047516806160 2097698909508 2106017286336 2175391461712 2303456406930 2330776566120 2447315394426 2457020167392 2622123636885 2632521607920 2719239327140 2764147688316 2796931879344 3071275209240 3107702088160 3159025929504 3263087192568 3455184610395 3496164849180 3510028810560 3670973091639 3685530251088 3729242505792 3948782411880 4078858990710 4095033612320 4195397819016 4350782923424 4606912813860 4661553132240 4894630788852 4914040334784 5224824135719 5244247273770 5265043215840 5438478654280 5528295376632 5593863758688 6118288486065 6142550418480 6215404176320 6318051859008 6526174385136 6910369220790 6992329698360 7341946183278 7371060502176 7897564823760 8157717981420 8190067224640 8390795638032 8701565846848 9213825627720 9323106264480 9789261577704 10449648271438 10488494547540 10530086431680 10876957308560 11056590753264 11187727517376 12236576972130 12285100836960 13052348770272 13820738441580 13984659396720 14683892366556 14742121004352 15674472407157 15795129647520 16315435962840 16781591276064 18354865458195 18427651255440 18646212528960 19578523155408 20899296542876 20976989095080 21753914617120 22113181506528 24473153944260 24570201673920 26104697540544 26124120678595 27641476883160 27969318793440 29367784733112 31348944814314 31590259295040 32630871925680 33563182552128 36573768950033 36709730916390 36855302510880 39157046310816 41798593085752 41953978190160 43507829234240 44226363013056 47023417221471 48946307888520 52248241357190 55282953766320 55938637586880 58735569466224 62697889628628 65261743851360 73147537900066 73419461832780 73710605021760 78314092621632 78372362035785 83597186171504 83907956380320 94046834442942 97892615777040 104496482714380 109721306850099 110565907532640 117471138932448 125395779257256 130523487702720 141070251664413 146295075800132 146838923665560 156744724071570 167194372343008 167815912760640 182868844750165 188093668885884 195785231554080 208992965428760 219442613700198 221131815065280 234942277864896 235117086107355 250791558514512 282140503328826 292590151600264 293677847331120 313489448143140 329163920550297 334388744686016 365737689500330 376187337771768 391570463108160 417985930857520 438885227400396 470234172214710 501583117029024 548606534250495 564281006657652 585180303200528 587355694662240 626978896286280 658327841100594 705351258322065 731475379000660 752374675543536 835971861715040 877770454800792 940468344429420 987491761650891 1003166234058048 1097213068500990 1128562013315304 1170360606401056 1174711389324480 1253957792572560 1316655682201188 1410702516644130 1462950758001320 1504749351087072 1645819602751485 1671943723430080 1755540909601584 1880936688858840 1974983523301782 2194426137001980 2257124026630608 2340721212802112 2507915585145120 2633311364402376 2821405033288260 2925901516002640 3009498702174144 3291639205502970 3511081819203168 3761873377717680 3949967046603564 4388852274003960 4514248053261216 4937458808254455 5015831170290240 5266622728804752 5642810066576520 5851803032005280 6583278411005940 7022163638406336 7523746755435360 7899934093207128 8777704548007920 9028496106522432 9874917616508910 10533245457609504 11285620133153040 11703606064010560 13166556822011880 15047493510870720 15799868186414256 17555409096015840 19749835233017820 21066490915219008 22571240266306080 26333113644023760 31599736372828512 35110818192031680 39499670466035640 45142480532612160 52666227288047520 63199472745657024 78999340932071280 105332454576095040 157998681864142560 315997363728285120
• Sum of all divisors σ(n): 1279652211002880000
• Sum of proper divisors (its aliquot sum) s(n): 963654847274594880
• 315997363728285120 is an abundant number, because the sum of its proper divisors (963654847274594880) is greater than itself. Its abundance is 647657483546309760

Bases of 315997363728285120

• Binary: 10001100010101001011110110110010110111110111111110111000000₂
• Hexadecimal: 0x462A5ED96FBFDC0
• Base-36: 2EFFPSU9O1C0

Squares and roots of 315997363728285120

• 315997363728285120 squared (315997363728285120²) is 99854333883226124394676336013414400
• 315997363728285120 cubed (315997363728285120³) is 31553706263943430776093097410652665760917027913728000
• The square root of 315997363728285120 is 562136428.0388570583
• The cube root of 315997363728285120 is 681126.5666289409

Scales and comparisons

• 315,997,363,728,285,120 seconds is equal to 10,047,738,722 years, 27 weeks, 6 days, 7 hours, 12 minutes.
• To count from 1 to 315,997,363,728,285,120 would take you about thirty billion, one hundred forty-three million, two hundred sixteen thousand, one hundred sixty-seven 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 315997363728285120 cubic inches would be around 56760.5 feet tall.

Recreational maths with 315997363728285120

• 315997363728285120 backwards is 021582827363799513
• The number of decimal digits it has is: 18
• The sum of 315997363728285120's digits is 81
• More coming soon!