146150243830080

Names of 146150243830080

• Cardinal: 146150243830080 can be written as One hundred forty-six trillion, one hundred fifty billion, two hundred forty-three million, eight hundred thirty thousand and eighty.

Scientific notation

• Scientific notation: 1.4615024383008 × 10¹⁴

Factors of 146150243830080

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 9023

Divisors of 146150243830080

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 97 105 112 114 120 126 133 140 144 152 160 168 171 180 190 192 194 210 224 228 240 252 266 280 285 288 291 304 315 320 336 342 360 380 388 399 420 448 456 467 480 485 504 532 560 570 576 582 608 630 665 672 679 684 720 760 776 798 840 855 873 912 934 960 970 1008 1064 1120 1140 1164 1197 1216 1260 1330 1344 1358 1368 1401 1440 1455 1520 1552 1596 1680 1710 1746 1824 1843 1868 1940 1995 2016 2037 2128 2240 2280 2328 2335 2394 2520 2660 2716 2736 2802 2880 2910 3040 3104 3192 3269 3360 3395 3420 3492 3648 3686 3736 3880 3990 4032 4074 4203 4256 4365 4560 4656 4670 4788 5040 5320 5432 5472 5529 5604 5820 5985 6080 6111 6208 6384 6538 6720 6790 6840 6984 7005 7372 7472 7760 7980 8148 8406 8423 8512 8730 8873 9120 9215 9312 9340 9576 9807 10080 10185 10640 10864 10944 11058 11208 11640 11970 12222 12768 12901 13076 13580 13680 13968 14010 14744 14944 15520 15960 16296 16345 16587 16812 16846 17460 17746 18240 18430 18624 18680 19152 19614 20160 20370 21015 21280 21728 22116 22416 23280 23940 24444 25269 25536 25802 26152 26619 27160 27360 27645 27936 28020 29421 29488 29888 30555 31040 31920 32592 32690 33174 33624 33692 34920 35492 36860 37360 38304 38703 39228 40740 42030 42115 42560 43456 44232 44365 44832 45299 46560 47880 48888 49035 50538 51604 52304 53238 54320 54720 55290 55872 56040 58842 58961 58976 61110 62111 63840 64505 65184 65380 66348 67248 67384 69840 70984 73720 74720 75807 76608 77406 78456 79857 81480 82935 84060 84230 88464 88730 89664 90598 93120 95760 97776 98070 101076 103208 104608 106476 108640 110580 112080 116109 117684 117922 117952 122220 124222 126345 127680 129010 130368 130760 132696 133095 134496 134768 135897 139680 141968 147105 147440 149440 151614 154812 156912 159714 160037 162960 165870 168120 168460 176883 176928 177460 181196 186333 191520 193515 195552 196140 202152 206416 209216 212952 217280 221160 224160 226495 232218 235368 235844 244440 248444 252690 258020 261520 265392 266190 268992 269536 271794 279360 283936 294210 294805 294880 303228 309624 310555 313824 317093 319428 320074 325920 331740 336240 336920 353766 353856 354920 362392 372666 379035 383040 387030 391104 392280 399285 404304 407691 412832 425904 442320 448320 452990 464436 470736 471688 480111 488880 496888 505380 516040 523040 530649 530784 532380 539072 543588 558999 567872 580545 588420 589610 589760 606456 619248 621110 627648 634186 638856 640148 651840 663480 672480 673840 679485 707532 709840 724784 745332 758070 774060 784560 798570 800185 808608 815382 817031 825664 851808 860681 884415 884640 905980 928872 931665 941472 943376 951279 960222 977760 993776 1010760 1032080 1046080 1061298 1061568 1064760 1087176 1117998 1120259 1161090 1176840 1179220 1212912 1238496 1242220 1268372 1277712 1280296 1326960 1344960 1347680 1358970 1415064 1419680 1440333 1449568 1490664 1516140 1548120 1569120 1585465 1597140 1600370 1617216 1630764 1634062 1703616 1721362 1768830 1769280 1811960 1857744 1863330 1882944 1886752 1902558 1920444 1955520 1987552 2021520 2038455 2064160 2122596 2129520 2174352 2235996 2240518 2322180 2353680 2358440 2400555 2425824 2451093 2476992 2484440 2536744 2555424 2560592 2582043 2653245 2653920 2695360 2717940 2794995 2830128 2839360 2853837 2880666 2899136 2981328 3032280 3096240 3138240 3170930 3194280 3200740 3261528 3268124 3360777 3442724 3537660 3623920 3715488 3726660 3773504 3805116 3840888 3933541 3975104 4043040 4076910 4085155 4128320 4245192 4259040 4303405 4348704 4471992 4481036 4644360 4707360 4716880 4756395 4801110 4851648 4902186 4968880 5073488 5110848 5121184 5164086 5306490 5307840 5435880 5589990 5601295 5660256 5707674 5719217 5761332 5962656 6024767 6064560 6192480 6341860 6388560 6401480 6523056 6536248 6721554 6885448 7075320 7201665 7247840 7353279 7430976 7453320 7610232 7681776 7746129 7867082 8086080 8153820 8170310 8490384 8518080 8606810 8697408 8943984 8962072 9288720 9414720 9433760 9512790 9602220 9804372 9937760 10082331 10146976 10242368 10328172 10612980 10871760 11179980 11202590 11320512 11415348 11438434 11522664 11800623 11925312 12049534 12129120 12255465 12384960 12683720 12777120 12802960 12910215 13046112 13072496 13443108 13770896 14150640 14269185 14403330 14495680 14706558 14906640 15220464 15363552 15492258 15523589 15734164 16307640 16340620 16803885 16980768 17157651 17213620 17887968 17924144 18074301 18577440 18867520 19025580 19204440 19608744 19667705 19875520 20164662 20293952 20656344 21225960 21743520 22359960 22405180 22830696 22876868 23045328 23601246 24099068 24258240 24510930 25367440 25554240 25605920 25820430 26092224 26144992 26886216 27534787 27541792 28301280 28538370 28596085 28806660 29413116 29813280 30123835 30440928 30727104 30984516 31047178 31468328 32615280 32681240 33607770 33961536 34315302 34427240 35401869 35775936 35848288 36148602 36766395 37154880 38051160 38408880 38730645 39217488 39335410 40329324 41312688 42451920 43487040 44719920 44810360 45661392 45753736 46090656 46570767 47202492 48198136 49021860 50411655 50734880 51211840 51472953 51640860 52289984 53772432 54222903 55069574 55083584 56602560 57076740 57192170 57613320 58826232 59003115 59626560 60247670 60881856 61969032 62094356 62936656 65230560 65362480 67215540 68630604 68854480 70803738 71696576 72297204 73532790 74737279 76102320 76817760 77461290 77617945 78434976 78670820 80658648 82604361 82625376 84903840 85788255 89439840 89620720 90371505 91322784 91507472 92181312 93141534 94404984 96396272 98043720 100823310 101469760 102945906 103281720 107544864 108445806 108665123 110139148 114153480 114384340 115226640 117652464 118006230 120495340 123938064 124188712 125873312 130461120 130724960 134431080 137261208 137673935 137708960 139712301 141607476 144594408 147065580 149474558 152204640 153635520 154922580 155235890 156869952 157341640 161317296 165208722 165250752 169807680 171576510 177009345 178879680 179241440 180743010 182645568 183014944 186283068 188809968 192792544 196087440 201646620 205891812 206563440 215089728 216891612 217330246 220278296 224211837 228306960 228768680 230453280 232853835 235304928 236012460 240990680 247813083 247876128 248377424 251746624 257364765 261449920 268862160 271114515 274522416 275347870 275417920 279424602 283214952 289188816 294131160 298949116 304409280 309845160 310471780 314683280 322634592 325995369 330417444 343153020 354018690 358482880 361486020 366029888 372566136 373686395 377619936 381553477 385585088 392174880 403293240 411783624 413021805 413126880 433783224 434660492 440556592 448423674 456613920 457537360 460906560 465707670 470609856 472024920 481981360 495626166 495752256 496754848 514729530 523160953 537724320 542229030 543325615 549044832 550695740 558849204 566429904 578377632 588262320 597898232 619690320 620943560 629366560 645269184 651990738 660834888 672635511 686306040 698561505 708037380 722972040 745132272 747372790 755239872 763106954 784349760 806586480 823567248 826043610 826253760 867566448 869320984 881113184 896847348 913227840 915074720 931415340 944049840 963962720 977986107 991252332 993509696 1029459060 1046321906 1075448640 1084458060 1086651230 1098089664 1101391480 1117698408 1121059185 1132859808 1144660431 1156755264 1176524640 1195796464 1239065415 1239380640 1241887120 1258733120 1303981476 1321669776 1345271022 1372612080 1397123010 1416074760 1445944080 1490264544 1494745580 1526213908 1569482859 1613172960 1629976845 1647134496 1652087220 1735132896 1738641968 1762226368 1793694696 1830149440 1862830680 1888099680 1907767385 1927925440 1955972214 1982504664 2058918120 2092643812 2168916120 2173302460 2202782960 2235396816 2242118370 2265719616 2289320862 2353049280 2391592928 2478130830 2478761280 2483774240 2607962952 2615804765 2643339552 2670874339 2690542044 2745224160 2794246020 2832149520 2891888160 2980529088 2989491160 3052427816 3138965718 3226345920 3259953690 3294268992 3304174440 3363177555 3433981293 3470265792 3477283936 3587389392 3725661360 3776199360 3815534770 3911944428 3965009328 4117836240 4185287624 4337832240 4346604920 4405565920 4470793632 4484236740 4578641724 4708448577 4783185856 4889930535 4956261660 4967548480 5215925904 5231609530 5286679104 5341748678 5381084088 5490448320 5588492040 5664299040 5723302155 5783776320 5978982320 6104855632 6277931436 6519907380 6608348880 6726355110 6867962586 6954567872 7174778784 7249516063 7451322720 7631069540 7823888856 7847414295 7930018656 8012623017 8235672480 8370575248 8675664480 8693209840 8811131840 8941587264 8968473480 9157283448 9416897154 9779861070 9912523320 10431851808 10463219060 10683497356 10762168176 11176984080 11328598080 11446604310 11957964640 12209711264 12555862872 13039814760 13216697760 13354371695 13452710220 13735925172 14349557568 14499032126 14902645440 15262139080 15647777712 15694828590 15860037312 16025246034 16471344960 16741150496 17169906465 17351328960 17386419680 17936946960 18314566896 18833794308 19559722140 19825046640 20863703616 20926438120 21366994712 21524336352 21748548189 22353968160 22893208620 23542242885 23915929280 24037869051 24419422528 25111725744 26079629520 26433395520 26708743390 26905420440 27471850344 28998064252 30524278160 31295555424 31389657180 32050492068 33482300992 34339812930 34772839360 35873893920 36247580315 36629133792 37667588616 39119444280 39650093280 40063115085 41852876240 42733989424 43048672704 43497096378 44707936320 45786417240 47084485770 48075738102 50223451488 50746612441 52159259040 53417486780 53810840880 54943700688 57996128504 61048556320 62591110848 62779314360 64100984136 65245644567 68679625860 71747787840 72495160630 73258267584 75335177232 78238888560 79300186560 80126230170 83705752480 85467978848 86994192756 91572834480 94168971540 96151476204 100446902976 101493224882 104318518080 106834973560 107621681760 108742740945 109887401376 115992257008 120189345255 122097112640 125558628720 128201968272 130491289134 137359251720 144990321260 150670354464 152239837323 156477777120 160252460340 167411504960 170935957696 173988385512 183145668960 188337943080 192302952408 202986449764 213669947120 215243363520 217485481890 219774802752 231984514016 240378690510 251117257440 253733062205 256403936544 260982578268 274718503440 289980642520 301340708928 304479674646 312955554240 320504920680 326228222835 347976771024 366291337920 376675886160 384605904816 405972899528 427339894240 434970963780 456719511969 463969028032 480757381020 502234514880 507466124410 512807873088 521965156536 549437006880 579961285040 608959349292 641009841360 652456445670 695953542048 753351772320 761199186615 769211809632 811945799056 854679788480 869941927560 913439023938 961514762040 1014932248820 1043930313072 1098874013760 1159922570080 1217918698584 1282019682720 1304912891340 1391907084096 1506703544640 1522398373230 1538423619264 1623891598112 1739883855120 1826878047876 1923029524080 2029864497640 2087860626144 2283597559845 2319845140160 2435837397168 2564039365440 2609825782680 3044796746460 3247783196224 3479767710240 3653756095752 3846059048160 4059728995280 4175721252288 4567195119690 4871674794336 5219651565360 6089593492920 6959535420480 7307512191504 7692118096320 8119457990560 9134390239380 9743349588672 10439303130720 12179186985840 14615024383008 16238915981120 18268780478760 20878606261440 24358373971680 29230048766016 36537560957520 48716747943360 73075121915040 146150243830080
• Sum of all divisors σ(n): 612362508226560
• Sum of proper divisors (its aliquot sum) s(n): 466212264396480
• 146150243830080 is an abundant number, because the sum of its proper divisors (466212264396480) is greater than itself. Its abundance is 320062020566400

Bases of 146150243830080

• Binary: 100001001110110001000001010111100000100101000000₂
• Hexadecimal: 0x84EC415E0940
• Base-36: 1FT0HTOSW0

Squares and roots of 146150243830080

• 146150243830080 squared (146150243830080²) is 21359893771591837107912806400
• 146150243830080 cubed (146150243830080³) is 3121753682902754112060826024708217536512000
• The square root of 146150243830080 is 12089261.5088796883
• The cube root of 146150243830080 is 52674.4304076247

Scales and comparisons

• 146,150,243,830,080 seconds is equal to 4,647,125 years, 35 weeks, 3 days, 48 minutes.
• To count from 1 to 146,150,243,830,080 would take you about eleven million, six hundred seventeen thousand, eight hundred fourteen 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 146150243830080 cubic inches would be around 4389.5 feet tall.

Recreational maths with 146150243830080

• 146150243830080 backwards is 080038342051641
• 146150243830080 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146150243830080's digits is 45
• More coming soon!