542312607021137920

Names of 542312607021137920

• Cardinal: 542312607021137920 can be written as Five hundred forty-two quadrillion, three hundred twelve trillion, six hundred seven billion, twenty-one million, one hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 5.4231260702113792 × 10¹⁷

Factors of 542312607021137920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 2775

Divisors of 542312607021137920

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 23 32 40 41 44 46 55 64 80 82 88 92 110 115 121 128 160 164 176 184 205 220 230 242 253 256 320 328 352 368 410 440 451 460 484 506 512 605 640 656 704 736 820 880 902 920 943 968 1012 1024 1210 1265 1280 1312 1408 1472 1640 1760 1804 1840 1886 1936 2024 2048 2255 2420 2530 2560 2624 2693 2783 2816 2944 3280 3520 3608 3680 3772 3872 4048 4096 4510 4715 4840 4961 5060 5120 5248 5386 5566 5632 5888 6560 7040 7216 7360 7544 7744 8096 8192 9020 9430 9680 9922 10120 10240 10373 10496 10772 11132 11264 11776 13120 13465 13915 14080 14432 14720 15088 15488 16192 16384 18040 18860 19360 19844 20240 20480 20746 20992 21544 22264 22528 23552 24805 26240 26930 27830 28160 28864 29440 29623 30176 30976 32384 32768 36080 37720 38720 39688 40480 40960 41492 41984 43088 44528 45056 47104 49610 51865 52480 53860 55660 56320 57728 58880 59246 60352 61939 61952 64768 65536 72160 75440 77440 79376 80960 81920 82984 83968 86176 89056 90112 94208 99220 103730 104960 107720 110413 111320 112640 114103 115456 117760 118492 120704 123878 123904 129536 131072 144320 148115 150880 154880 158752 161920 163840 165968 167936 172352 178112 180224 188416 198440 207460 209920 215440 220826 222640 225280 228206 230912 235520 236984 241408 247756 247808 259072 288640 296230 301760 309695 309760 317504 323840 325853 327680 331936 335872 344704 356224 360448 376832 396880 414920 419840 430880 441652 445280 450560 456412 461824 471040 473968 482816 495512 495616 518144 552065 570515 577280 592460 603520 619390 619520 635008 647680 651706 655360 663872 671744 681329 689408 712448 720896 753664 793760 829840 839680 861760 883304 890560 901120 912824 923648 942080 947936 965632 991024 991232 1036288 1104130 1141030 1154560 1184920 1207040 1214543 1238780 1239040 1270016 1295360 1303412 1327744 1343488 1362658 1378816 1424896 1441792 1507328 1587520 1629265 1659680 1679360 1723520 1766608 1781120 1802240 1825648 1847296 1884160 1895872 1931264 1982048 1982464 2072576 2208260 2282060 2309120 2369840 2414080 2429086 2477560 2478080 2539499 2540032 2590720 2606824 2655488 2686976 2725316 2757632 2849792 3014656 3175040 3258530 3319360 3358720 3406645 3447040 3533216 3562240 3604480 3651296 3694592 3768320 3791744 3862528 3964096 3964928 4145152 4416520 4564120 4618240 4739680 4828160 4858172 4955120 4956160 5078998 5080064 5181440 5213648 5310976 5373952 5450632 5515264 5699584 6072715 6350080 6517060 6638720 6717440 6813290 6894080 7066432 7124480 7208960 7252249 7302592 7389184 7494619 7536640 7583488 7725056 7928192 7929856 8290304 8833040 9128240 9236480 9479360 9656320 9716344 9910240 9912320 10157996 10160128 10362880 10427296 10621952 10901264 11030528 11399168 12145430 12697495 12700160 13034120 13277440 13359973 13434880 13626580 13788160 14132864 14248960 14504498 14605184 14778368 14989238 15073280 15166976 15450112 15856384 15859712 16580608 17666080 18256480 18472960 18958720 19312640 19432688 19820480 19824640 20315992 20320256 20725760 20854592 21243904 21802528 22061056 22798336 24290860 25394990 25400320 26068240 26554880 26719946 26869760 27253160 27576320 27934489 28265728 28497920 29008996 29210368 29556736 29978476 30333952 30900224 31712768 33161216 35332160 36261245 36512960 36945920 37473095 37917440 38625280 38865376 39640960 39649280 40631984 40640512 41451520 41709184 42487808 43605056 44122112 45596672 48581720 50789980 50800640 52136480 53109760 53439892 54506320 55152640 55868978 56531456 56995840 58017992 58420736 59113472 59956952 60667904 61800448 63425536 66799865 70664320 72522490 73025920 73891840 74946190 75834880 77250560 77730752 79281920 79298560 79774739 81263968 81281024 82903040 83418368 84975616 87210112 88244224 91193344 97163440 101579960 101601280 104272960 106219520 106879784 109012640 110305280 111737956 113062912 113991680 116035984 116841472 119913904 121335808 123600896 126851072 133599730 139672445 141328640 145044980 146051840 147783680 149892380 151669760 154501120 155461504 158563840 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2878272583120 3009103155080 3044784220160 3146540840960 3229281434720 3267573309440 3310013470588 3349262642176 3416099368960 3501501853184 3594330640384 3661429342208 3757709305856 4137516838235 4186578302720 4376877316480 4377795952640 4492913300480 4576786677760 4605236132992 4697136632320 4752833904640 4814565048128 4871654752256 4911673507840 5034465345536 5166850295552 5228117295104 5465758990336 5756545166240 6018206310160 6089568440320 6293081681920 6458562869440 6535146618880 6620026941176 6698525284352 6832198737920 7003003706368 7188661280768 7515418611712 8275033676470 8373156605440 8753754632960 8755591905280 8985826600960 9153573355520 9210472265984 9394273264640 9629130096256 9743309504512 10068930691072 10333700591104 10456234590208 10931517980672 11513090332480 12036412620320 12179136880640 12586163363840 12917125738880 13070293237760 13240053882352 13397050568704 13664397475840 14006007412736 14377322561536 15030837223424 16550067352940 16746313210880 17507509265920 17971653201920 18307146711040 18420944531968 18788546529280 19258260192512 19486619009024 20137861382144 20667401182208 21863035961344 23026180664960 24072825240640 24358273761280 25172326727680 25834251477760 26140586475520 26480107764704 26794101137408 27328794951680 28012014825472 28754645123072 30061674446848 33100134705880 33492626421760 35015018531840 35943306403840 36841889063936 37577093058560 38516520385024 38973238018048 40275722764288 41334802364416 46052361329920 48145650481280 48716547522560 50344653455360 51668502955520 52281172951040 52960215529408 53588202274816 54657589903360 56024029650944 57509290246144 60123348893696 66200269411760 66985252843520 70030037063680 71886612807680 73683778127872 75154186117120 77033040770048 82669604728832 92104722659840 96291300962560 97433095045120 100689306910720 103337005911040 105920431058816 107176404549632 109315179806720 112048059301888 115018580492288 120246697787392 132400538823520 133970505687040 140060074127360 143773225615360 147367556255744 150308372234240 154066081540096 165339209457664 184209445319680 192582601925120 194866190090240 201378613821440 206674011822080 211840862117632 214352809099264 224096118603776 240493395574784 264801077647040 267941011374080 280120148254720 287546451230720 294735112511488 300616744468480 308132163080192 330678418915328 368418890639360 385165203850240 413348023644160 423681724235264 428705618198528 448192237207552 529602155294080 535882022748160 560240296509440 575092902461440 589470225022976 601233488936960 616264326160384 661356837830656 736837781278720 770330407700480 826696047288320 847363448470528 896384474415104 1059204310588160 1071764045496320 1120480593018880 1178940450045952 1202466977873920 1232528652320768 1322713675661312 1473675562557440 1540660815400960 1653392094576640 1694726896941056 2118408621176320 2143528090992640 2240961186037760 2357880900091904 2465057304641536 2645427351322624 2947351125114880 3081321630801920 3306784189153280 3389453793882112 4236817242352640 4481922372075520 4715761800183808 4930114609283072 5894702250229760 6162643261603840 6613568378306560 6778907587764224 8473634484705280 9860229218566144 11789404500459520 12325286523207680 13227136756613120 13557815175528448 16947268969410560 23578809000919040 24650573046415360 27115630351056896 33894537938821120 49301146092830720 54231260702113792 67789075877642240 108462521404227584 135578151755284480 271156303510568960 542312607021137920
• Sum of all divisors σ(n): 1529803652059370016
• Sum of proper divisors (its aliquot sum) s(n): 987491045038232096
• 542312607021137920 is an abundant number, because the sum of its proper divisors (987491045038232096) is greater than itself. Its abundance is 445178438017094176

Bases of 542312607021137920

• Binary: 11110000110101011100111000101011010101101100000000000000000₂
• Hexadecimal: 0x786AE715AB60000
• Base-36: 44BTRWBFT69S

Squares and roots of 542312607021137920

• 542312607021137920 squared (542312607021137920²) is 294102963734063170003961691661926400
• 542312607021137920 cubed (542312607021137920³) is 159495744995262977346706193895799610547539267289088000
• The square root of 542312607021137920 is 736418771.5024230151
• The cube root of 542312607021137920 is 815486.1074443531

Scales and comparisons

• 542,312,607,021,137,920 seconds is equal to 17,243,863,420 years, 12 weeks, 2 days, 20 hours, 58 minutes, 40 seconds.
• To count from 1 to 542,312,607,021,137,920 would take you about fifty-one billion, seven hundred thirty-one million, five hundred ninety thousand, two hundred sixty 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 542312607021137920 cubic inches would be around 67957.2 feet tall.

Recreational maths with 542312607021137920

• 542312607021137920 backwards is 029731120706213245
• 542312607021137920 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 542312607021137920's digits is 55
• More coming soon!