30168078818918400

Names of 30168078818918400

• Cardinal: 30168078818918400 can be written as Thirty quadrillion, one hundred sixty-eight trillion, seventy-eight billion, eight hundred eighteen million, nine hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 3.01680788189184 × 10¹⁶

Factors of 30168078818918400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 7822

Divisors of 30168078818918400

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 139 144 150 160 180 192 200 225 240 256 278 288 300 320 360 384 400 417 450 480 512 556 576 600 640 695 720 768 800 834 900 960 1024 1112 1152 1200 1251 1280 1390 1440 1536 1600 1668 1800 1920 2048 2085 2224 2304 2400 2502 2560 2780 2880 3072 3200 3336 3475 3600 3840 4096 4170 4448 4608 4800 5004 5120 5560 5760 6144 6255 6400 6672 6950 7200 7673 7680 8192 8340 8896 9216 9600 10008 10240 10425 11120 11520 12288 12510 12800 13344 13900 14400 15346 15360 16384 16680 17792 18432 19200 20016 20480 20850 22240 23019 23040 24576 25020 25600 26688 27800 28800 30692 30720 31275 33360 35584 36864 38365 38400 40032 40960 41700 44480 46038 46080 49152 50040 51200 53376 55600 57600 61384 61440 62550 66720 69057 71168 73728 76730 76800 80064 81920 83400 88960 92076 92160 100080 102400 106752 111200 115095 115200 122768 122880 125100 133440 138114 142336 147456 153460 153600 160128 166800 177920 184152 184320 191825 200160 204800 213504 222400 230190 230400 245536 245760 250200 266880 276228 284672 306920 307200 320256 333600 345285 355840 368304 368640 383650 400320 409600 427008 444800 460380 460800 491072 500400 533760 552456 569344 575475 613840 614400 640512 667200 690570 711680 736608 737280 767300 800640 854016 889600 920760 921600 982144 1000800 1066547 1067520 1104912 1138688 1150950 1227680 1228800 1281024 1334400 1381140 1423360 1473216 1534600 1601280 1708032 1726425 1779200 1841520 1843200 1964288 2001600 2133094 2135040 2209824 2277376 2301900 2455360 2562048 2668800 2762280 2846720 2946432 3069200 3199641 3202560 3416064 3452850 3558400 3683040 3686400 3928576 4003200 4266188 4270080 4419648 4603800 4910720 5124096 5332735 5337600 5524560 5693440 5892864 6138400 6399282 6405120 6832128 6905700 7116800 7366080 7857152 8006400 8532376 8540160 8839296 9207600 9598923 9821440 10248192 10665470 10675200 11049120 11386880 11785728 12276800 12798564 12810240 13811400 14233600 14732160 15714304 15998205 16012800 17064752 17080320 17678592 18415200 19197846 19642880 20496384 21330940 21350400 22098240 23571456 24553600 25597128 25620480 26663675 27622800 28467200 29464320 31428608 31996410 32025600 34129504 34160640 35357184 36830400 38395692 39285760 42661880 42700800 44196480 47142912 47994615 49107200 51194256 51240960 53327350 55245600 56934400 58874929 58928640 62857216 63992820 64051200 68259008 70714368 73660800 76791384 78571520 79991025 85323760 85401600 88392960 94285824 95989230 98214400 102388512 102481920 106654700 110491200 117749858 117857280 125714432 127985640 128102400 136518016 141428736 147321600 153582768 157143040 159982050 170647520 170803200 176624787 176785920 188571648 191978460 196428800 204777024 213309400 220982400 235499716 235714560 239973075 255971280 256204800 273036032 282857472 294374645 294643200 307165536 314286080 319964100 341295040 353249574 353571840 377143296 383956920 392857600 409554048 426618800 441964800 470999432 471429120 479946150 511942560 512409600 529874361 546072064 565714944 588749290 589286400 614331072 628572160 639928200 682590080 706499148 707143680 767913840 785715200 819108096 853237600 883123935 883929600 941998864 942858240 959892300 1023885120 1059748722 1092144128 1131429888 1177498580 1178572800 1228662144 1279856400 1365180160 1412998296 1414287360 1471873225 1535827680 1571430400 1638216192 1706475200 1766247870 1767859200 1883997728 1885716480 1919784600 2047770240 2119497444 2184288256 2354997160 2357145600 2457324288 2559712800 2649371805 2730360320 2825996592 2828574720 2943746450 3071655360 3142860800 3276432384 3412950400 3532495740 3535718400 3767995456 3839569200 4095540480 4238994888 4368576512 4415619675 4709994320 4714291200 4914648576 5119425600 5298743610 5460720640 5651993184 5657149440 5887492900 6143310720 6552864768 6825900800 7064991480 7071436800 7535990912 7679138400 8183615131 8191080960 8477989776 8737153024 8831239350 9419988640 9428582400 9829297152 10238851200 10597487220 10921441280 11303986368 11774985800 12286621440 13105729536 13246859025 13651801600 14129982960 14142873600 15071981824 15358276800 16367230262 16382161920 16955979552 17474306048 17662478700 18839977280 19658594304 20477702400 21194974440 21842882560 22607972736 23549971600 24550845393 24573242880 26211459072 26493718050 27303603200 28259965920 28285747200 30143963648 30716553600 32734460524 32764323840 33911959104 35324957400 37679954560 39317188608 40918075655 40955404800 42389948880 43685765120 45215945472 47099943200 49101690786 49146485760 52422918144 52987436100 54607206400 56519931840 60287927296 61433107200 65468921048 65528647680 67823918208 70649914800 73652536179 75359909120 78634377216 81836151310 81910809600 84779897760 87371530240 90431890944 94199886400 98203381572 98292971520 105974872200 109214412800 113039863680 120575854592 122754226965 122866214400 130937842096 131057295360 135647836416 141299829600 147305072358 150719818240 157268754432 163672302620 163821619200 169559795520 180863781888 188399772800 196406763144 196585943040 204590378275 211949744400 218428825600 226079727360 241151709184 245508453930 245732428800 261875684192 262114590720 271295672832 282599659200 294610144716 301439636480 327344605240 327643238400 339119591040 361727563776 368262680895 376799545600 392813526288 393171886080 409180756550 423899488800 436857651200 452159454720 482303418368 491016907860 491464857600 523751368384 542591345664 565199318400 589220289432 602879272960 613771134825 654689210480 655286476800 678239182080 723455127552 736525361790 753599091200 785627052576 786343772160 818361513100 847798977600 904318909440 964606836736 982033815720 982929715200 1047502736768 1085182691328 1130398636800 1178440578864 1205758545920 1227542269650 1309378420960 1310572953600 1356478364160 1446910255104 1473050723580 1507198182400 1571254105152 1636723026200 1695597955200 1808637818880 1841313404475 1964067631440 1965859430400 2095005473536 2170365382656 2260797273600 2356881157728 2411517091840 2455084539300 2618756841920 2712956728320 2893820510208 2946101447160 3014396364800 3142508210304 3273446052400 3391195910400 3617275637760 3682626808950 3928135262880 3931718860800 4190010947072 4340730765312 4521594547200 4713762315456 4823034183680 4910169078600 5237513683840 5425913456640 5892202894320 6028792729600 6285016420608 6546892104800 6782391820800 7234551275520 7365253617900 7856270525760 8380021894144 8681461530624 9043189094400 9427524630912 9820338157200 10475027367680 10851826913280 11784405788640 12057585459200 12570032841216 13093784209600 13564783641600 14469102551040 14730507235800 15712541051520 16760043788288 18086378188800 18855049261824 19640676314400 20950054735360 21703653826560 23568811577280 24115170918400 25140065682432 26187568419200 27129567283200 29461014471600 31425082103040 33520087576576 36172756377600 37710098523648 39281352628800 41900109470720 43407307653120 47137623154560 50280131364864 52375136838400 54259134566400 58922028943200 62850164206080 67040175153152 72345512755200 75420197047296 78562705257600 83800218941440 94275246309120 100560262729728 104750273676800 108518269132800 117844057886400 125700328412160 134080350306304 150840394094592 157125410515200 167600437882880 188550492618240 201120525459456 209500547353600 217036538265600 235688115772800 251400656824320 301680788189184 314250821030400 335200875765760 377100985236480 402241050918912 419001094707200 471376231545600 502801313648640 603361576378368 628501642060800 670401751531520 754201970472960 838002189414400 942752463091200 1005602627297280 1206723152756736 1257003284121600 1508403940945920 1676004378828800 1885504926182400 2011205254594560 2514006568243200 3016807881891840 3352008757657600 3771009852364800 5028013136486400 6033615763783680 7542019704729600 10056026272972800 15084039409459200 30168078818918400
• Sum of all divisors σ(n): 108857100766106420
• Sum of proper divisors (its aliquot sum) s(n): 78689021947188020
• 30168078818918400 is an abundant number, because the sum of its proper divisors (78689021947188020) is greater than itself. Its abundance is 48520943128269620

Bases of 30168078818918400

• Binary: 1101011001011011011010100110101100011101100000000000000₂
• Hexadecimal: 0x6B2DB5358EC000
• Base-36: 891OW302KG0

Squares and roots of 30168078818918400

• 30168078818918400 squared (30168078818918400²) is 910112979624473004297745858560000
• 30168078818918400 cubed (30168078818918400³) is 27456360103431777395854765807918209778581504000000
• The square root of 30168078818918400 is 173689604.8096097201
• The cube root of 30168078818918400 is 311302.4590971433

Scales and comparisons

• 30,168,078,818,918,400 seconds is equal to 959,251,590 years, 23 weeks, 1 day, 16 hours.
• To count from 1 to 30,168,078,818,918,400 would take you about two billion, eight hundred seventy-seven million, seven hundred fifty-four thousand, seven hundred seventy-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 30168078818918400 cubic inches would be around 25941.9 feet tall.

Recreational maths with 30168078818918400

• 30168078818918400 backwards is 00481981887086103
• 30168078818918400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 30168078818918400's digits is 72
• More coming soon!