268135440824401920

Names of 268135440824401920

• Cardinal: 268135440824401920 can be written as Two hundred sixty-eight quadrillion, one hundred thirty-five trillion, four hundred forty billion, eight hundred twenty-four million, four hundred one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 2.6813544082440192 × 10¹⁷

Factors of 268135440824401920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 12177

Divisors of 268135440824401920

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 128 132 140 144 154 160 165 168 176 180 192 198 210 220 224 231 240 252 256 264 280 288 308 315 320 330 336 352 360 384 385 396 420 440 448 462 480 495 504 512 528 560 576 616 630 640 660 672 693 704 720 768 770 792 840 880 896 924 960 990 1008 1024 1056 1120 1152 1155 1232 1260 1280 1320 1344 1386 1408 1440 1536 1540 1584 1680 1760 1792 1848 1920 1980 2016 2048 2112 2240 2304 2310 2464 2520 2560 2640 2688 2772 2816 2880 3072 3080 3168 3360 3465 3520 3584 3696 3840 3960 4032 4096 4224 4480 4608 4620 4928 5040 5120 5280 5376 5544 5632 5760 6144 6160 6336 6720 6930 7040 7168 7392 7680 7920 8064 8192 8448 8960 9216 9240 9856 10080 10240 10560 10752 11088 11264 11520 12149 12288 12320 12672 13440 13860 14080 14336 14784 15360 15840 16128 16384 16896 17920 18432 18480 19712 20160 20480 21120 21504 22176 22528 23040 24298 24576 24640 25344 26880 27720 28160 28672 29568 30720 31680 32256 32768 33792 35840 36447 36864 36960 39424 40320 40960 42240 43008 44352 45056 46080 48596 49152 49280 50688 53760 55440 56320 57344 59136 60745 61440 63360 64512 65536 67584 71680 72894 73728 73920 78848 80640 81920 84480 85043 86016 88704 90112 92160 97192 98304 98560 101376 107520 109341 110880 112640 114688 118272 121490 122880 126720 129024 131072 133639 135168 143360 145788 147456 147840 157696 161280 163840 168960 170086 172032 177408 180224 182235 184320 194384 196608 197120 202752 215040 218682 221760 225280 229376 236544 242980 245760 253440 255129 258048 262144 267278 270336 286720 291576 294912 295680 315392 322560 327680 337920 340172 344064 354816 360448 364470 368640 388768 393216 394240 400917 405504 425215 430080 437364 443520 450560 458752 473088 485960 491520 506880 510258 516096 524288 534556 540672 546705 573440 583152 589824 591360 630784 645120 655360 668195 675840 680344 688128 709632 720896 728940 737280 765387 777536 786432 788480 801834 811008 850430 860160 874728 887040 901120 917504 935473 946176 971920 983040 1013760 1020516 1032192 1069112 1081344 1093410 1146880 1166304 1179648 1182720 1202751 1261568 1275645 1290240 1310720 1336390 1351680 1360688 1376256 1419264 1441792 1457880 1474560 1530774 1555072 1572864 1576960 1603668 1622016 1700860 1720320 1749456 1774080 1802240 1835008 1870946 1892352 1943840 1966080 2004585 2027520 2041032 2064384 2138224 2162688 2186820 2293760 2332608 2359296 2365440 2405502 2523136 2551290 2580480 2621440 2672780 2703360 2721376 2752512 2806419 2838528 2883584 2915760 2949120 3061548 3110144 3153920 3207336 3244032 3401720 3440640 3498912 3548160 3604480 3670016 3741892 3784704 3826935 3887680 3932160 4009170 4055040 4082064 4128768 4276448 4325376 4373640 4587520 4665216 4677365 4718592 4730880 4811004 5046272 5102580 5160960 5345560 5406720 5442752 5505024 5612838 5677056 5767168 5831520 5898240 6013755 6123096 6220288 6307840 6414672 6488064 6803440 6881280 6997824 7096320 7208960 7483784 7569408 7653870 7775360 7864320 8018340 8110080 8164128 8257536 8419257 8552896 8650752 8747280 9175040 9330432 9354730 9461760 9622008 10092544 10205160 10321920 10691120 10813440 10885504 11010048 11225676 11354112 11663040 11796480 12027510 12246192 12440576 12615680 12829344 12976128 13606880 13762560 13995648 14032095 14192640 14417920 14967568 15138816 15307740 15550720 16036680 16220160 16328256 16515072 16838514 17105792 17301504 17494560 18350080 18660864 18709460 18923520 19244016 20185088 20410320 20643840 21382240 21626880 21771008 22451352 22708224 23326080 23592960 24055020 24492384 24881152 25231360 25658688 25952256 27213760 27525120 27991296 28064190 28385280 28835840 29935136 30277632 30615480 31101440 32073360 32440320 32656512 33030144 33677028 34211584 34989120 37321728 37418920 37847040 38488032 40370176 40820640 41287680 42096285 42764480 43253760 43542016 44902704 45416448 46652160 48110040 48984768 49762304 50462720 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7934879285760 8182844263440 8312730680320 8463871238144 8728367214336 9068433469440 9351822015360 9521855142912 9672995700736 9975276816384 10579839047680 10882120163328 10910459017920 11035288535040 11637822952448 11902318928640 12091244625920 12469096020480 12695806857216 13092550821504 13300369088512 13602650204160 14509493551104 14547278690560 14962915224576 15869758571520 16365688526880 16625461360640 16927742476288 17456734428672 18136866938880 18703644030720 19043710285824 19345991401472 19950553632768 21159678095360 21764240326656 21820918035840 22070577070080 23275645904896 23804637857280 24182489251840 24938192040960 25391613714432 26185101643008 26600738177024 27205300408320 29018987102208 29094557381120 29925830449152 31739517143040 32731377053760 33250922721280 33855484952576 34913468857344 36273733877760 37407288061440 38087420571648 38691982802944 39901107265536 42319356190720 43528480653312 43641836071680 46551291809792 47609275714560 48364978503680 49876384081920 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348227845226496 349134688573440 372410334478336 380874205716480 386919828029440 399011072655360 406265819430912 418961626288128 425611810832384 435284806533120 465512918097920 478813287186432 507832274288640 523702032860160 532014763540480 541687759241216 558615501717504 580379742044160 598516608983040 609398729146368 638417716248576 677109699051520 696455690452992 698269377146880 744820668956672 761748411432960 798022145310720 812531638861824 837923252576256 851223621664768 870569613066240 931025836195840 957626574372864 1015664548577280 1047404065720320 1064029527080960 1117231003435008 1160759484088320 1197033217966080 1218797458292736 1276835432497152 1354219398103040 1396538754293760 1489641337913344 1523496822865920 1596044290621440 1625063277723648 1675846505152512 1741139226132480 1862051672391680 1915253148745728 2031329097154560 2094808131440640 2128059054161920 2234462006870016 2394066435932160 2437594916585472 2553670864994304 2708438796206080 2793077508587520 2979282675826688 3046993645731840 3192088581242880 3351693010305024 3482278452264960 3724103344783360 3830506297491456 4062658194309120 4189616262881280 4256118108323840 4468924013740032 4788132871864320 4875189833170944 5586155017175040 5958565351653376 6093987291463680 6384177162485760 6703386020610048 7448206689566720 7661012594982912 8125316388618240 8379232525762560 8937848027480064 9576265743728640 11172310034350080 12187974582927360 12768354324971520 13406772041220096 14896413379133440 16758465051525120 17875696054960128 19152531487457280 22344620068700160 24375949165854720 26813544082440192 29792826758266880 33516930103050240 38305062974914560 44689240137400320 53627088164880384 67033860206100480 89378480274800640 134067720412200960 268135440824401920
• Sum of all divisors σ(n): 1158996562213089600
• Sum of proper divisors (its aliquot sum) s(n): 890861121388687680
• 268135440824401920 is an abundant number, because the sum of its proper divisors (890861121388687680) is greater than itself. Its abundance is 622725680564285760

Bases of 268135440824401920

• Binary: 1110111000100110111100001101000110000010000000000000000000₂
• Hexadecimal: 0x3B89BC346080000
• Base-36: 21C62WZYXA80

Squares and roots of 268135440824401920

• 268135440824401920 squared (268135440824401920²) is 71896614626096343791728125699686400
• 268135440824401920 cubed (268135440824401920³) is 19278030456550485764240197271741467670838811557888000
• The square root of 268135440824401920 is 517817961.0871004927
• The cube root of 268135440824401920 is 644839.1649333089

Scales and comparisons

• 268,135,440,824,401,920 seconds is equal to 8,525,877,620 years, 43 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 268,135,440,824,401,920 would take you about twenty-five billion, five hundred seventy-seven million, six hundred thirty-two thousand, eight hundred sixty-two 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 268135440824401920 cubic inches would be around 53736.6 feet tall.

Recreational maths with 268135440824401920

• 268135440824401920 backwards is 029104428044531862
• 268135440824401920 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 268135440824401920's digits is 63
• More coming soon!