135142200205969920

Names of 135142200205969920

• Cardinal: 135142200205969920 can be written as One hundred thirty-five quadrillion, one hundred forty-two trillion, two hundred billion, two hundred five million, nine hundred sixty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3514220020596992 × 10¹⁷

Factors of 135142200205969920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 808

Divisors of 135142200205969920

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 512 590 640 708 739 768 885 944 960 1180 1280 1416 1478 1536 1770 1888 1920 2217 2360 2560 2832 2956 3540 3695 3776 3840 4434 4720 5664 5912 7080 7390 7552 7680 8868 9440 11085 11328 11824 14160 14780 15104 17736 18880 22170 22656 23648 28320 29560 30208 35472 37760 43601 44340 45312 47296 56640 59120 70944 75520 87202 88680 90624 94592 113280 118240 130803 141888 151040 174404 177360 189184 218005 226560 236480 261606 283776 348808 354720 378368 436010 453120 472960 523212 546121 567552 654015 697616 709440 872020 945920 1046424 1092242 1135104 1308030 1395232 1418880 1638363 1744040 1891840 2092848 2184484 2616060 2730605 2790464 2837760 3276726 3488080 4185696 4368968 5232120 5461210 5580928 5675520 6553452 6976160 8191815 8371392 8737936 10464240 10922420 11161856 13106904 13952320 16383630 16742784 17475872 20928480 21844840 22323712 26213808 27904640 32221139 32767260 33485568 34951744 41856960 43689680 52427616 55809280 64442278 65534520 66971136 69903488 83713920 87379360 96663417 104855232 111618560 128884556 131069040 139806976 161105695 167427840 174758720 193326834 209710464 257769112 262138080 279613952 322211390 334855680 349517440 386653668 403583419 419420928 483317085 515538224 524276160 644422780 699034880 773307336 807166838 838841856 966634170 1031076448 1048552320 1210750257 1288845560 1398069760 1546614672 1614333676 1933268340 2017917095 2062152896 2097104640 2421500514 2577691120 3093229344 3228667352 3866536680 4035834190 4124305792 4194209280 4843001028 5155382240 6053751285 6186458688 6457334704 7733073360 8071668380 8248611584 9686002056 10310764480 12107502570 12372917376 12914669408 15466146720 16143336760 16497223168 19372004112 20621528960 23811421721 24215005140 24745834752 25829338816 30932293440 32286673520 38744008224 41243057920 47622843442 48430010280 49491669504 51658677632 61864586880 64573347040 71434265163 77488016448 82486115840 95245686884 96860020560 103317355264 119057108605 123729173760 129146694080 142868530326 154976032896 190491373768 193720041120 206634710528 238114217210 247458347520 258293388160 285737060652 298248146641 309952065792 357171325815 380982747536 387440082240 476228434420 516586776320 571474121304 596496293282 619904131584 714342651630 761965495072 774880164480 894744439923 952456868840 1033173552640 1142948242608 1192992586564 1428685303260 1491240733205 1523930990144 1549760328960 1789488879846 1904913737680 2285896485216 2385985173128 2857370606520 2982481466410 3047861980288 3099520657920 3578977759692 3809827475360 4473722199615 4571792970432 4771970346256 5714741213040 5964962932820 6095723960576 7157955519384 7619654950720 8947444399230 9143585940864 9543940692512 11429482426080 11929925865640 12191447921152 14315911038768 15239309901440 17596640651819 17894888798460 18287171881728 19087881385024 22858964852160 23859851731280 28631822077536 30478619802880 35193281303638 35789777596920 36574343763456 38175762770048 45717929704320 47719703462560 52789921955457 57263644155072 60957239605760 70386562607276 71579555193840 76351525540096 87983203259095 91435859408640 95439406925120 105579843910914 114527288310144 140773125214552 143159110387680 152703051080192 175966406518190 182871718817280 190878813850240 211159687821828 229054576620288 263949609777285 281546250429104 286318220775360 351932813036380 381757627700480 422319375643656 458109153240576 527899219554570 563092500858208 572636441550720 703865626072760 763515255400960 844638751287312 1055798439109140 1126185001716416 1145272883101440 1407731252145520 1689277502574624 2111596878218280 2252370003432832 2290545766202880 2815462504291040 3378555005149248 4223193756436560 4504740006865664 5630925008582080 6757110010298496 8446387512873120 9009480013731328 11261850017164160 13514220020596992 16892775025746240 22523700034328320 27028440041193984 33785550051492480 45047400068656640 67571100102984960 135142200205969920
• Sum of all divisors σ(n): 439950642177863520
• Sum of proper divisors (its aliquot sum) s(n): 304808441971893600
• 135142200205969920 is an abundant number, because the sum of its proper divisors (304808441971893600) is greater than itself. Its abundance is 169666241765923680

Bases of 135142200205969920

• Binary: 111100000000111110001110101110101011100010000101000000000₂
• Hexadecimal: 0x1E01F1D75710A00
• Base-36: 10YNWTPAFCAO

Squares and roots of 135142200205969920

• 135142200205969920 squared (135142200205969920²) is 18263414276510456287671607944806400
• 135142200205969920 cubed (135142200205969920³) is 2468157988600745363179490535933833544743138623488000
• The square root of 135142200205969920 is 367616920.4565670151
• The cube root of 135142200205969920 is 513172.8385258389

Scales and comparisons

• 135,142,200,205,969,920 seconds is equal to 4,297,103,944 years, 14 weeks, 3 days, 5 hours, 52 minutes.
• To count from 1 to 135,142,200,205,969,920 would take you about twelve billion, eight hundred ninety-one million, three hundred eleven thousand, eight hundred thirty-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 135142200205969920 cubic inches would be around 42764.4 feet tall.

Recreational maths with 135142200205969920

• 135142200205969920 backwards is 029969502002241531
• 135142200205969920 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135142200205969920's digits is 60
• More coming soon!