238413632824640

Names of 238413632824640

• Cardinal: 238413632824640 can be written as Two hundred thirty-eight trillion, four hundred thirteen billion, six hundred thirty-two million, eight hundred twenty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 2.3841363282464 × 10¹⁴

Factors of 238413632824640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 262818

Divisors of 238413632824640

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 61 64 65 70 73 80 91 98 104 112 122 130 140 146 160 182 196 208 224 244 245 260 280 292 305 320 364 365 392 416 427 448 455 488 490 511 520 560 584 610 637 728 730 784 793 832 854 910 949 976 980 1022 1040 1120 1168 1220 1274 1456 1460 1568 1586 1708 1820 1898 1952 1960 2044 2080 2135 2240 2336 2440 2548 2555 2912 2920 2989 3136 3172 3185 3416 3577 3640 3796 3904 3920 3965 4088 4160 4270 4453 4672 4745 4880 5096 5110 5551 5824 5840 5978 6344 6370 6643 6832 7154 7280 7592 7840 7930 8176 8540 8906 9490 9760 10192 10220 11102 11680 11956 12688 12740 13286 13664 14308 14560 14945 15184 15680 15860 16352 17080 17812 17885 18980 19520 20384 20440 22204 22265 23360 23912 25376 25480 26572 27328 27755 28616 29120 29890 30368 31171 31720 32704 33215 34160 35624 35770 37960 38857 40768 40880 44408 44530 46501 47824 50752 50960 53144 55510 57232 57889 59780 60736 62342 63440 66430 68320 71248 71540 75920 77714 81760 88816 89060 93002 95648 101920 106288 111020 114464 115778 119560 124684 126880 132860 136640 142496 143080 151840 155428 155855 163520 177632 178120 186004 191296 194285 203840 212576 218197 222040 228928 231556 232505 239120 249368 253760 262657 265720 284992 286160 289445 303680 310856 311710 355264 356240 372008 388570 405223 425152 436394 444080 463112 465010 478240 498736 525314 531440 572320 578890 621712 623420 712480 744016 777140 810446 872788 888160 926224 930020 956480 997472 1050628 1062880 1090985 1144640 1157780 1243424 1246840 1313285 1424960 1488032 1554280 1620892 1745576 1776320 1838599 1852448 1860040 1994944 2026115 2101256 2125760 2181970 2315560 2486848 2493680 2626570 2836561 2976064 3108560 3241784 3414541 3491152 3677198 3704896 3720080 4052230 4202512 4363940 4631120 4987360 5253140 5673122 6217120 6483568 6829082 6982304 7354396 7440160 8104460 8405024 8727880 9192995 9262240 9974720 10506280 11346244 12434240 12870193 12967136 13658164 13964608 14182805 14708792 14880320 16022077 16208920 16810048 17072705 17455760 18385990 18524480 19173961 21012560 22692488 23901787 25740386 25934272 27316328 28365610 29417584 32044154 32417840 34145410 34911520 36771980 38347922 42025120 45384976 47803574 51480772 54632656 56731220 58835168 64088308 64350965 64835680 68290820 69823040 73543960 76695844 80110385 84050240 90769952 95607148 95869805 102961544 109265312 112154539 113462440 117670336 119508935 128176616 128701930 129671360 134217727 136581640 147087920 153391688 160220770 167312509 181539904 191214296 191739610 205923088 208287001 218530624 224309078 226924880 239017870 249261493 256353232 257403860 268435454 273163280 294175840 306783376 320441540 334625018 382428592 383479220 411846176 416574002 448618156 453849760 478035740 498522986 512706464 514807720 536870908 546326560 560772695 588351680 613566752 640883080 669250036 671088635 764857184 766958440 785081773 823692352 833148004 836562545 897236312 907699520 939524089 956071480 997045972 1025412928 1029615440 1041435005 1073741816 1092653120 1121545390 1169611621 1227133504 1246307465 1281766160 1338500072 1342177270 1458009007 1529714368 1533916880 1570163546 1666296008 1673125090 1744830451 1794472624 1879048178 1912142960 1994091944 2059230880 2082870010 2147483632 2243090780 2339223242 2492614930 2563532320 2677000144 2684354540 2916018014 3067833760 3140327092 3332592016 3346250180 3489660902 3588945248 3758096356 3824285920 3925408865 3988183888 4118461760 4165740020 4294967264 4486181560 4678446484 4697620445 4985229860 5127064640 5354000288 5368709080 5832036028 5848058105 6135667520 6280654184 6665184032 6692500360 6979321804 7177890496 7290045035 7516192712 7648571840 7850817730 7976367776 8187281347 8331480040 8589934528 8724152255 8972363120 9356892968 9395240890 9970459720 10206063049 10708000576 10737418160 11664072056 11696116210 12213813157 12561308368 13330368064 13385000720 13958643608 14580090070 15032385424 15204951073 15701635460 15952735552 16374562694 16662960080 17448304510 17944726240 18713785936 18790481780 19940919440 20412126098 21474836320 23328144112 23392232420 24427626314 25122616736 26770001440 27917287216 29160180140 30064770848 30409902146 31403270920 32749125388 33325920160 34896609020 35889452480 37427571872 37580963560 39881838880 40824252196 40936406735 42949672640 46656288224 46784464840 48855252628 50245233472 51030315245 53540002880 55834574432 57310969429 58320360280 60129541696 60819804292 61069065785 62806541840 65498250776 66651840320 69793218040 74855143744 75161927120 76024755365 79763677760 81648504392 81872813470 93312576448 93568929680 97710505256 102060630490 106434657511 111669148864 114621938858 116640720560 121639608584 122138131570 125613083680 130996501552 139586436080 150323854240 152049510730 163297008784 163745626940 187137859360 195421010512 204121260980 212869315022 229243877716 233281441120 243279217168 244276263140 251226167360 261993003104 279172872160 286554847145 300647708480 304099021460 326594017568 327491253880 374275718720 390842021024 408242521960 425738630044 458487755432 466562882240 486558434336 488552526280 523986006208 532173287555 558345744320 573109694290 608198042920 653188035136 654982507760 745042602577 781684042048 816485043920 851477260088 916975510864 973116868672 977105052560 1064346575110 1146219388580 1216396085840 1309965015520 1490085205154 1632970087840 1702954520176 1833951021728 1954210105120 2128693150220 2292438777160 2432792171680 2619930031040 2980170410308 3265940175680 3405909040352 3667902043456 3725213012885 3908420210240 4257386300440 4584877554320 4865584343360 5960340820616 6811818080704 7450426025770 8514772600880 9169755108640 11920681641232 14900852051540 17029545201760 18339510217280 23841363282464 29801704103080 34059090403520 47682726564928 59603408206160 119206816412320 238413632824640
• Sum of all divisors σ(n): 732777127324704
• Sum of proper divisors (its aliquot sum) s(n): 494363494500064
• 238413632824640 is an abundant number, because the sum of its proper divisors (494363494500064) is greater than itself. Its abundance is 255949861675424

Bases of 238413632824640

• Binary: 110110001101010111111111111001001110010101000000₂
• Hexadecimal: 0xD8D5FFE4E540
• Base-36: 2CIDPLBQRK

Squares and roots of 238413632824640

• 238413632824640 squared (238413632824640²) is 56841060316642259664991129600
• 238413632824640 cubed (238413632824640³) is 13551683683695163150933511465856992313344000
• The square root of 238413632824640 is 15440648.7177398087
• The cube root of 238413632824640 is 62007.4247806575

Scales and comparisons

• 238,413,632,824,640 seconds is equal to 7,580,816 years, 3 weeks, 1 day, 13 hours, 57 minutes, 20 seconds.
• To count from 1 to 238,413,632,824,640 would take you about eighteen million, nine hundred fifty-two thousand and forty 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 238413632824640 cubic inches would be around 5167.3 feet tall.

Recreational maths with 238413632824640

• 238413632824640 backwards is 046428236314832
• 238413632824640 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 238413632824640's digits is 56
• More coming soon!