1830115416268800

Names of 1830115416268800

• Cardinal: 1830115416268800 can be written as One quadrillion, eight hundred thirty trillion, one hundred fifteen billion, four hundred sixteen million, two hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.8301154162688 × 10¹⁵

Factors of 1830115416268800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 140936

Divisors of 1830115416268800

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 256 261 270 288 290 300 320 324 348 360 384 400 405 432 435 450 464 480 486 512 522 540 576 580 600 640 648 675 696 720 725 729 768 783 800 810 864 870 900 928 960 972 1024 1044 1080 1152 1160 1200 1215 1280 1296 1305 1350 1392 1440 1450 1458 1536 1566 1600 1620 1728 1740 1800 1856 1920 1944 2025 2048 2088 2160 2175 2187 2304 2320 2349 2400 2430 2560 2592 2610 2700 2784 2880 2900 2916 3072 3132 3200 3240 3456 3480 3600 3645 3712 3840 3888 3915 4050 4096 4176 4320 4350 4374 4608 4640 4698 4800 4860 5120 5184 5220 5400 5568 5760 5800 5832 6075 6144 6264 6400 6480 6525 6912 6960 7047 7200 7290 7424 7680 7776 7830 8100 8192 8352 8640 8700 8748 9216 9280 9396 9600 9720 10240 10368 10440 10800 10935 11136 11520 11600 11664 11745 12150 12288 12528 12800 12960 13050 13824 13920 14094 14400 14580 14848 15360 15552 15660 16200 16704 17280 17400 17496 18225 18432 18560 18792 19200 19440 19575 20480 20736 20880 21141 21600 21870 22272 23040 23200 23328 23490 24300 24576 25056 25600 25920 26100 27648 27840 28188 28800 29160 29696 30720 31104 31320 32400 33408 34560 34800 34992 35235 36450 36864 37120 37584 38400 38880 39150 40960 41472 41760 42282 43200 43740 44544 46080 46400 46656 46980 48600 50112 51200 51840 52200 54675 55296 55680 56376 57600 58320 58725 59392 61440 62208 62640 63423 64800 66816 69120 69600 69984 70470 72900 73728 74240 75168 76800 77760 78300 82944 83520 84564 86400 87480 89088 92160 92800 93312 93960 97200 100224 102400 103680 104400 105705 109350 110592 111360 112752 115200 116640 117450 118784 122880 124416 125280 126846 129600 133632 138240 139200 139968 140897 140940 145800 148480 150336 153600 155520 156600 165888 167040 169128 172800 174960 176175 178176 184320 185600 186624 187920 194400 200448 204800 207360 208800 211410 218700 221184 222720 225504 230400 233280 234900 237568 248832 250560 253692 259200 267264 276480 278400 279936 281794 281880 291600 296960 300672 307200 311040 313200 317115 331776 334080 338256 345600 349920 352350 356352 368640 371200 373248 375840 388800 400896 414720 417600 422691 422820 437400 445440 451008 460800 466560 469800 497664 501120 507384 518400 528525 534528 552960 556800 559872 563588 563760 583200 593920 601344 614400 622080 626400 634230 663552 668160 676512 691200 699840 704485 704700 712704 742400 746496 751680 777600 801792 829440 835200 845382 845640 874800 890880 902016 921600 933120 939600 995328 1002240 1014768 1036800 1057050 1069056 1105920 1113600 1119744 1127176 1127520 1166400 1187840 1202688 1244160 1252800 1268073 1268460 1336320 1353024 1382400 1399680 1408970 1409400 1484800 1492992 1503360 1555200 1585575 1603584 1658880 1670400 1690764 1691280 1749600 1781760 1804032 1843200 1866240 1879200 1990656 2004480 2029536 2073600 2113455 2114100 2138112 2227200 2239488 2254352 2255040 2332800 2405376 2488320 2505600 2536146 2536920 2672640 2706048 2764800 2799360 2817940 2818800 2969600 2985984 3006720 3110400 3171150 3207168 3317760 3340800 3381528 3382560 3499200 3522425 3563520 3608064 3732480 3758400 3804219 4008960 4059072 4086013 4147200 4226910 4228200 4454400 4478976 4508704 4510080 4665600 4810752 4976640 5011200 5072292 5073840 5345280 5412096 5529600 5598720 5635880 5637600 5939200 5971968 6013440 6220800 6340365 6342300 6414336 6681600 6763056 6765120 6998400 7044850 7216128 7464960 7516800 7608438 8017920 8118144 8172026 8294400 8453820 8456400 8908800 8957952 9017408 9020160 9331200 9621504 9953280 10022400 10144584 10147680 10567275 10690560 10824192 11197440 11271760 11275200 11412657 12026880 12258039 12441600 12680730 12684600 13363200 13526112 13530240 13996800 14089700 14432256 14929920 15033600 15216876 16035840 16236288 16344052 16588800 16907640 16912800 17817600 17915904 18034816 18040320 18662400 19021095 19243008 20044800 20289168 20295360 20430065 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4869400320 4903215600 4930267824 4964505795 5135695650 5194027008 5230096640 5295472848 5410444800 5478075360 5516117550 5771141120 5843280384 5883858720 5957406954 6086750400 6162834780 6276115968 6492533760 6494515200 6537620800 6573690432 6619341060 6847594200 7060630464 7213926400 7304100480 7354823400 7703543475 7791040512 7845144960 7943209272 8115667200 8217113040 8274176325 8368154624 8656711680 8764920576 8825788080 8936110431 9130125600 9414173952 9738800640 9806431200 9860535648 9929011590 10271391300 10388054016 10460193280 10590945696 10820889600 10956150720 11032235100 11686560768 11767717440 11914813908 12173500800 12325669560 12552231936 12985067520 12989030400 13075241600 13147380864 13238682120 13695188400 14121260928 14427852800 14608200960 14709646800 14893517385 15407086950 15582081024 15690289920 15886418544 16231334400 16434226080 16548352650 16736309248 17313423360 17529841152 17651576160 17872220862 18260251200 18828347904 19477601280 19612862400 19721071296 19858023180 20542782600 20920386560 21181891392 21641779200 21912301440 22064470200 23373121536 23535434880 23829627816 24347001600 24651339120 24822528975 25104463872 25970135040 26150483200 26294761728 26477364240 27390376800 28242521856 28855705600 29216401920 29419293600 29787034770 30814173900 31164162048 31380579840 31772837088 32462668800 32868452160 33096705300 33472618496 35059682304 35303152320 35744441724 36520502400 37656695808 38955202560 39225724800 39442142592 39716046360 41085565200 41840773120 42363782784 43283558400 43824602880 44128940400 44680552155 46746243072 47070869760 47659255632 48694003200 49302678240 49645057950 50208927744 51940270080 52300966400 52589523456 52954728480 54780753600 56485043712 58432803840 58838587200 59574069540 61628347800 62761159680 63545674176 64925337600 65736904320 66193410600 70119364608 70606304640 71488883448 73041004800 74467586925 75313391616 77910405120 78451449600 78884285184 79432092720 82171130400 83681546240 84727565568 86567116800 87649205760 88257880800 89361104310 93492486144 94141739520 95318511264 97388006400 98605356480 99290115900 100417855488 104601932800 105179046912 105909456960 109561507200 112970087424 116865607680 117677174400 119148139080 123256695600 125522319360 127091348352 129850675200 131473808640 132386821200 140238729216 141212609280 142977766896 146082009600 148935173850 150626783232 155820810240 156902899200 157768570368 158864185440 164342260800 167363092480 169455131136 175298411520 176515761600 178722208620 188283479040 190637022528 194776012800 197210712960 198580231800 209203865600 210358093824 211818913920 219123014400 223402760775 225940174848 233731215360 235354348800 238296278160 246513391200 251044638720 254182696704 259701350400 262947617280 264773642400 280477458432 282425218560 285955533792 292164019200 297870347700 301253566464 313805798400 315537140736 317728370880 328684521600 338910262272 350596823040 353031523200 357444417240 376566958080 381274045056 389552025600 394421425920 397160463600 418407731200 420716187648 423637827840 438246028800 446805521550 451880349696 467462430720 470708697600 476592556320 493026782400 502089277440 508365393408 525895234560 529547284800 564850437120 571911067584 584328038400 595740695400 627611596800 631074281472 635456741760 657369043200 677820524544 701193646080 706063046400 714888834480 753133916160 762548090112 779104051200 788842851840 794320927200 836815462400 841432375296 847275655680 876492057600 893611043100 903760699392 941417395200 953185112640 986053564800 1016730786816 1051790469120 1059094569600 1129700874240 1143822135168 1168656076800 1191481390800 1255223193600 1262148562944 1270913483520 1314738086400 1355641049088 1402387292160 1412126092800 1429777668960 1506267832320 1525096180224 1577685703680 1588641854400 1694551311360 1752984115200 1787222086200 1882834790400 1906370225280 1972107129600 2033461573632 2103580938240 2118189139200 2259401748480 2287644270336 2337312153600 2382962781600 2510446387200 2524297125888 2541826967040 2629476172800 2711282098176 2824252185600 2859555337920 3050192360448 3155371407360 3177283708800 3389102622720 3505968230400 3574444172400 3765669580800 3812740450560 3944214259200 4066923147264 4207161876480 4236378278400 4518803496960 4575288540672 4765925563200 5083653934080 5258952345600 5648504371200 5719110675840 6100384720896 6310742814720 6354567417600 6778205245440 7011936460800 7148888344800 7531339161600 7625480901120 7888428518400 8133846294528 8472756556800 9150577081344 9531851126400 10167307868160 10517904691200 11297008742400 11438221351680 12200769441792 12621485629440 12709134835200 13556410490880 14297776689600 15250961802240 15776857036800 16945513113600 18301154162688 19063702252800 20334615736320 21035809382400 22594017484800 22876442703360 24401538883584 25418269670400 28595553379200 30501923604480 31553714073600 33891026227200 36602308325376 38127404505600 40669231472640 45752885406720 50836539340800 57191106758400 61003847208960 63107428147200 67782052454400 73204616650752 76254809011200 91505770813440 101673078681600 114382213516800 122007694417920 152509618022400 183011541626880 203346157363200 228764427033600 305019236044800 366023083253760 457528854067200 610038472089600 915057708134400 1830115416268800
• Sum of all divisors σ(n): 7041335731473600
• Sum of proper divisors (its aliquot sum) s(n): 5211220315204800
• 1830115416268800 is an abundant number, because the sum of its proper divisors (5211220315204800) is greater than itself. Its abundance is 3381104898936000

Bases of 1830115416268800

• Binary: 110100000000111101011110011010010001110000000000000₂
• Hexadecimal: 0x6807AF348E000
• Base-36: I0PZEYO000

Squares and roots of 1830115416268800

• 1830115416268800 squared (1830115416268800²) is 3349322436864723103713853440000
• 1830115416268800 cubed (1830115416268800³) is 6129646625761114329707327603586914844672000000
• The square root of 1830115416268800 is 42779848.2497168285
• The cube root of 1830115416268800 is 122318.6914670163

Scales and comparisons

• 1,830,115,416,268,800 seconds is equal to 58,192,009 years, 16 weeks, 4 days.
• To count from 1 to 1,830,115,416,268,800 would take you about one hundred seventy-four million, five hundred seventy-six thousand and twenty-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 1830115416268800 cubic inches would be around 10193.2 feet tall.

Recreational maths with 1830115416268800

• 1830115416268800 backwards is 0088626145110381
• 1830115416268800 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1830115416268800's digits is 54
• More coming soon!