1148268384200448

Names of 1148268384200448

• Cardinal: 1148268384200448 can be written as One quadrillion, one hundred forty-eight trillion, two hundred sixty-eight billion, three hundred eighty-four million, two hundred thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.148268384200448 × 10¹⁵

Factors of 1148268384200448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1261

Divisors of 1148268384200448

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 67 72 84 96 98 112 126 128 134 144 147 168 192 196 201 224 252 256 268 288 294 336 343 384 392 402 431 441 448 469 504 536 576 588 603 672 686 751 768 784 804 862 882 896 938 1008 1029 1072 1152 1176 1206 1293 1344 1372 1407 1502 1568 1608 1724 1764 1792 1876 2016 2058 2144 2253 2304 2352 2412 2586 2688 2744 2814 3004 3017 3087 3136 3216 3283 3448 3528 3752 3879 4032 4116 4221 4288 4489 4506 4704 4824 5172 5257 5376 5488 5628 6008 6034 6174 6272 6432 6566 6759 6896 7056 7504 7758 8064 8232 8442 8576 8978 9012 9051 9408 9648 9849 10344 10514 10976 11256 12016 12068 12348 12544 12864 13132 13467 13518 13792 14112 15008 15516 15771 16128 16464 16884 17152 17956 18024 18102 18816 19296 19698 20688 21028 21119 21952 22512 22981 24032 24136 24696 25728 26264 26934 27036 27153 27584 28224 28877 29547 30016 31032 31423 31542 32928 33768 35912 36048 36204 36799 37632 38592 39396 40401 41376 42056 42238 43904 45024 45962 47313 48064 48272 49392 50317 51456 52528 53868 54072 54306 55168 56448 57754 59094 60032 62064 62846 63084 63357 65856 67536 68943 71824 72096 72408 73598 77184 78792 80802 82752 84112 84476 86631 87808 90048 91924 94269 94626 96128 96544 98784 100634 105056 107736 108144 108612 110336 110397 112896 115508 118188 120064 124128 125692 126168 126714 131712 135072 137886 143648 144192 144816 147196 147833 150951 154368 157584 161604 165504 168224 168952 173262 180096 183848 188538 189252 190071 192256 193088 197568 201268 202139 206829 210112 215472 216288 217224 219961 220794 231016 236376 248256 251384 252336 253428 257593 259893 263424 270144 275772 282807 287296 288384 289632 294392 295666 301902 315168 323208 323681 331008 331191 336448 337904 346524 352219 360192 367696 377076 378504 380142 386176 395136 402536 404278 413658 420224 430944 432576 434448 439922 441588 443499 452853 462032 472752 496512 502768 504672 506856 515186 519786 540288 551544 565614 574592 576768 579264 588784 591332 603804 606417 630336 646416 647362 659883 662382 672896 675808 693048 704438 735392 754152 757008 760284 772352 772779 790272 805072 808556 827316 840448 861888 865152 868896 879844 883176 886998 905706 924064 945504 971043 993024 1005536 1009344 1013712 1030372 1039572 1056657 1080576 1103088 1131228 1149184 1158528 1177568 1182664 1207608 1212834 1260672 1292832 1294724 1319766 1324764 1330497 1345792 1351616 1386096 1408876 1414973 1470784 1508304 1514016 1520568 1539727 1545558 1610144 1617112 1654632 1723776 1730304 1737792 1759688 1766352 1773996 1811412 1819251 1848128 1891008 1934759 1942086 1979649 2011072 2018688 2027424 2060744 2079144 2113314 2206176 2262456 2265767 2317056 2318337 2355136 2365328 2415216 2425668 2465533 2521344 2585664 2589448 2639532 2649528 2660994 2703232 2772192 2817752 2829946 2913129 2941568 3016608 3028032 3041136 3079454 3091116 3169971 3220288 3234224 3309264 3371239 3447552 3475584 3519376 3532704 3547992 3622824 3638502 3696256 3782016 3869518 3884172 3959298 4022144 4037376 4054848 4121488 4158288 4226628 4244919 4412352 4524912 4531534 4619181 4636674 4710272 4730656 4830432 4851336 4931066 5171328 5178896 5279064 5299056 5321988 5406464 5544384 5635504 5659892 5804277 5826258 5883136 6033216 6056064 6082272 6158908 6182232 6339942 6440576 6468448 6618528 6742478 6797301 6951168 7038752 7065408 7095984 7245648 7277004 7392512 7396599 7564032 7739036 7768344 7918596 8044288 8109696 8242976 8316576 8453256 8489838 8824704 9049824 9063068 9238362 9273348 9420544 9461312 9660864 9702672 9862132 9904811 10113717 10342656 10357792 10558128 10598112 10643976 11088768 11271008 11319784 11608554 11652516 12066432 12112128 12164544 12317816 12364464 12679884 12734757 12881152 12936896 13237056 13484956 13543313 13594602 13857543 14077504 14130816 14191968 14491296 14554008 14793198 15478072 15536688 15837192 15860369 16219392 16485952 16633152 16906512 16979676 17258731 17412831 17649408 18099648 18126136 18476724 18546696 18922624 19321728 19405344 19724264 19809622 20227434 20391903 20715584 21116256 21196224 21287952 21686627 22177536 22189797 22542016 22639568 23217108 23305032 23598673 24132864 24329088 24635632 24728928 25359768 25469514 25873792 26474112 26969912 27086626 27189204 27715086 28155008 28261632 28383936 28982592 29108016 29586396 29714433 30341151 30956144 31073376 31674384 31720738 32971904 33266304 33813024 33959352 34517462 34825662 36199296 36252272 36953448 37093392 37845248 38643456 38810688 39448528 39619244 40454868 40629939 40783806 41431168 42232512 42392448 42575904 43373254 44379594 45084032 45279136 46434216 46610064 47197346 47581107 48658176 49271264 49457856 50719536 50939028 51747584 51776193 52948224 53939824 54173252 54378408 55430172 56310016 56767872 57965184 58216032 59172792 59428866 60682302 61912288 62146752 63348768 63441476 65059881 65943808 66532608 67626048 67918704 69034924 69651324 70796019 72398592 72504544 73906896 74186784 77621376 78897056 79238488 80909736 81259878 81567612 82862336 84465024 84784896 85151808 86746508 88759188 89143299 90168064 90558272 92868432 93220128 94394692 94803191 95162214 98542528 98915712 101439072 101878056 103552386 107879648 108346504 108756816 110860344 111022583 113535744 115930368 116432064 118345584 118857732 121364604 121889817 123824576 124293504 126697536 126882952 130119762 135252096 135837408 138069848 139302648 141592038 142743321 145009088 147813792 148373568 151806389 155242752 155328579 157794112 158476976 161819472 162519756 163135224 165190711 168930048 170303616 173493016 177518376 178286598 181116544 185736864 186440256 188789384 189606382 190324428 195179643 197085056 197831424 202878144 203756112 207104772 212388057 215759296 216693008 217513632 221720688 222045166 232864128 236691168 237715464 242729208 243779634 247649152 248587008 253395072 253765904 260239524 270504192 271674816 276139696 278605296 283184076 284409573 285486642 290018176 295627584 296747136 303612778 310657158 315588224 316953952 323638944 325039512 326270448 330381422 333067749 340607232 346986032 355036752 356573196 362233088 371473728 372880512 377578768 379212764 380648856 390359286 394170112 405756288 407512224 414209544 424776114 431518592 433386016 435027264 443441376 444090332 455419167 465728256 473382336 475430928 485458416 487559268 495298304 495572133 506790144 507531808 520479048 543349632 552279392 557210592 566368152 568819146 570973284 580036352 591255168 593494272 607225556 621314316 631176448 633907904 647277888 650079024 652540896 660762844 663622337 666135498 693972064 710073504 713146392 742947456 745761024 755157536 758425528 761297712 780718572 811512576 815024448 828419088 849552228 853228719 863037184 866772032 870054528 886882752 888180664 910838334 946764672 950861856 970916832 975118536 991144266 999203247 1015063616 1040958096 1062644723 1086699264 1104558784 1114421184 1132736304 1137638292 1141946568 1156334977 1182510336 1214451112 1242628632 1267815808 1294555776 1300158048 1305081792 1321525688 1327244674 1332270996 1366257501 1387944128 1420147008 1426292784 1453004009 1485894912 1486716399 1510315072 1516851056 1522595424 1561437144 1630048896 1656838176 1699104456 1706457438 1733544064 1740109056 1773765504 1776361328 1821676668 1893529344 1901723712 1941833664 1950237072 1982288532 1990867011 1998406494 2030127232 2081916192 2125289446 2209117568 2228842368 2265472608 2275276584 2283893136 2312669954 2428902224 2485257264 2535631616 2589111552 2600316096 2610163584 2643051376 2654489348 2664541992 2732515002 2775888256 2840294016 2852585568 2906008018 2973432798 3020630144 3033702112 3045190848 3122874288 3187934169 3260097792 3313676352 3398208912 3412914876 3467088128 3469004931 3547531008 3552722656 3643353336 3803447424 3883667328 3900474144 3964577064 3981734022 3996812988 4060254464 4163832384 4250578892 4359012027 4418235136 4457684736 4530945216 4550553168 4567786272 4625339908 4857804448 4970514528 5200632192 5220327168 5286102752 5308978696 5329083984 5465030004 5551776512 5680588032 5705171136 5812016036 5946865596 5972601033 6041260288 6067404224 6090381696 6245748576 6375868338 6627352704 6796417824 6825829752 6938009862 7105445312 7286706672 7438513061 7606894848 7767334656 7800948288 7929154128 7963468044 7993625976 8327664768 8501157784 8718024054 9061890432 9101106336 9135572544 9250679816 9563802507 9715608896 9941029056 10171028063 10401264384 10407014793 10572205504 10617957392 10658167968 10930060008 11410342272 11624032072 11893731192 11945202066 12134808448 12180763392 12491497152 12751736676 13077036081 13254705408 13592835648 13651659504 13876019724 14210890624 14573413344 14877026122 15601896576 15858308256 15926936088 15987251952 16655329536 17002315568 17436048108 18123780864 18202212672 18271145088 18501359632 19127605014 19431217792 19882058112 20342056126 20814029586 21144411008 21235914784 21316335936 21860120016 22315539183 22820684544 23248064144 23787462384 23890404132 24269616896 24982994304 25503473352 26154072162 27185671296 27303319008 27752039448 28421781248 29146826688 29754052244 30513084189 31203793152 31716616512 31853872176 31974503904 34004631136 34872096216 36404425344 36542290176 37002719264 38255210028 38862435584 39764116224 40684112252 41628059172 42288822016 42471829568 42632671872 43720240032 44631078366 46496128288 47574924768 47780808264 49965988608 51006946704 52308144324 54371342592 54606638016 55504078896 58293653376 59508104488 61026168378 63433233024 63707744352 63949007808 66946617549 68009262272 69744192432 71197196441 72808850688 74005438528 76510420056 81368224504 83256118344 84943659136 85265343744 87440480064 89262156732 91539252567 92992256576 95149849536 95561616528 102013893408 104616288648 109213276032 111008157792 116587306752 119016208976 122052336756 126866466048 127415488704 127898015616 133893235098 136018524544 139488384864 142394392882 148010877056 153020840112 162736449008 166512236688 169887318272 174880960128 178524313464 183078505134 185984513152 190299699072 191123233056 204027786816 209232577296 213591589323 218426552064 222016315584 238032417952 244104673512 254830977408 255796031232 267786470196 272037049088 278976769728 284788785764 296021754112 306041680224 325472898016 333024473376 349761920256 357048626928 366157010268 371969026304 380599398144 382246466112 408055573632 418465154592 427183178646 444032631168 476064835904 488209347024 498380375087 509661954816 535572940392 557953539456 569577571528 612083360448 640774767969 650945796032 666048946752 714097253856 732314020536 764492932224 816111147264 836930309184 854366357292 888065262336 952129671808 976418694048 996760750174 1071145880784 1115907078912 1139155143056 1224166720896 1281549535938 1301891592064 1332097893504 1428194507712 1464628041072 1495141125261 1528985864448 1673860618368 1708732714584 1904259343616 1952837388096 1993521500348 2142291761568 2278310286112 2448333441792 2563099071876 2603783184128 2664195787008 2856389015424 2929256082144 2990282250522 3347721236736 3417465429168 3905674776192 3987043000696 4284583523136 4485423375783 4556620572224 5126198143752 5712778030848 5858512164288 5980564501044 6834930858336 7811349552384 7974086001392 8569167046272 8970846751566 9113241144448 10252396287504 11717024328576 11961129002088 13669861716672 15948172002784 17138334092544 17941693503132 18226482288896 20504792575008 23434048657152 23922258004176 27339723433344 31896344005568 35883387006264 41009585150016 47844516008352 54679446866688 63792688011136 71766774012528 82019170300032 95689032016704 127585376022272 143533548025056 164038340600064 191378064033408 287067096050112 382756128066816 574134192100224 1148268384200448
• Sum of all divisors σ(n): 3933732824985600
• Sum of proper divisors (its aliquot sum) s(n): 2785464440785152
• 1148268384200448 is an abundant number, because the sum of its proper divisors (2785464440785152) is greater than itself. Its abundance is 1637196056584704

Bases of 1148268384200448

• Binary: 100000101000101100000010001001001011010011100000000₂
• Hexadecimal: 0x414581125A700
• Base-36: BB0Z7OJI80

Squares and roots of 1148268384200448

• 1148268384200448 squared (1148268384200448²) is 1318520282154307658112243400704
• 1148268384200448 cubed (1148268384200448³) is 1514015153924845646736636881794329507520315392
• The square root of 1148268384200448 is 33886109.0153538873
• The cube root of 1148268384200448 is 104716.3435165089

Scales and comparisons

• 1,148,268,384,200,448 seconds is equal to 36,511,382 years, 41 weeks, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 1,148,268,384,200,448 would take you about one hundred nine million, five hundred thirty-four thousand, one hundred forty-eight 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 1148268384200448 cubic inches would be around 8726.4 feet tall.

Recreational maths with 1148268384200448

• 1148268384200448 backwards is 8440024838628411
• 1148268384200448 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1148268384200448's digits is 63
• More coming soon!