146388338097553300

Names of 146388338097553300

• Cardinal: 146388338097553300 can be written as One hundred forty-six quadrillion, three hundred eighty-eight trillion, three hundred thirty-eight billion, ninety-seven million, five hundred fifty-three thousand, three hundred.

Scientific notation

• Scientific notation: 1.463883380975533 × 10¹⁷

Factors of 146388338097553300

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7013

Divisors of 146388338097553300

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1777 2450 2473 2749 3554 4900 4946 5498 7108 8885 9892 10996 12365 12439 13745 17311 17770 19243 24730 24878 27490 34622 35540 38486 44425 49460 49756 54980 61825 62195 68725 69244 76972 86555 87073 88850 96215 121177 123650 124390 134701 137450 173110 174146 177700 192430 242354 247300 248780 269402 274900 310975 346220 348292 384860 432775 435365 481075 484708 538804 605885 621950 673505 865550 870730 962150 1211770 1243900 1347010 1731100 1741460 1924300 2176825 2423540 2694020 3029425 3367525 4353650 4394521 4884973 6058850 6115729 6735050 6798277 8707300 8789042 9769946 12117700 12231458 13470100 13596554 17578084 19539892 21972605 24424865 24462916 27193108 30578645 30761647 33991385 34194811 42810103 43945210 47587939 48849730 61157290 61523294 67982770 68389622 85620206 87890420 95175878 97699460 109863025 122124325 122314580 123046588 135965540 136779244 152893225 153808235 169956925 170974055 171240412 190351756 214050515 215331529 219726050 237939695 239363677 244248650 299670721 305786450 307616470 333115573 339913850 341948110 428101030 430663058 439452100 475879390 478727354 488497300 599341442 611572900 615232940 666231146 679827700 683896220 769041175 854870275 856202060 861326116 951758780 957454708 1070252575 1076657645 1189698475 1196818385 1198682884 1332462292 1498353605 1538082350 1665577865 1709740550 2140505150 2153315290 2379396950 2393636770 2996707210 3076164700 3331155730 3419481100 4281010300 4306630580 4758793900 4787273540 5383288225 5984091925 5993414420 6662311460 7491768025 8327889325 10766576450 10867650433 11968183850 12080538229 14983536050 16655778650 16812139021 21533152900 21735300866 23936367700 24161076458 29967072100 33311557300 33624278042 43470601732 48322152916 54338252165 60402691145 67248556084 76073553031 84060695105 84563767603 108676504330 117684973147 120805382290 152147106062 168121390210 169127535206 217353008660 235369946294 241610764580 271691260825 302013455725 304294212124 336242780420 338255070412 380367765155 420303475525 422818838015 470739892588 532514871217 543382521650 588424865735 591946373221 604026911450 760735530310 823794812029 840606951050 845637676030 1065029742434 1086765043300 1176849731470 1183892746442 1208053822900 1521471060620 1647589624058 1681213902100 1691275352060 1901838825775 2114094190075 2130059484868 2353699462940 2367785492884 2662574356085 2942124328675 2959731866105 3295179248116 3803677651550 4118974060145 4228188380150 5325148712170 5884248657350 5919463732210 7607355303100 8237948120290 8456376760300 10650297424340 11768497314700 11838927464420 13312871780425 14798659330525 16475896240580 20594870300725 26625743560850 29597318661050 29875171040317 41189740601450 53251487121700 59194637322100 59750342080634 82379481202900 119500684161268 149375855201585 209126197282219 298751710403170 418252394564438 597503420806340 746879276007925 836504789128876 1045630986411095 1463883380975533 1493758552015850 2091261972822190 2927766761951066 2987517104031700 4182523945644380 5228154932055475 5855533523902132 7319416904877665 10456309864110950 14638833809755330 20912619728221900 29277667619510660 36597084524388325 73194169048776650 146388338097553300
• Sum of all divisors σ(n): 370018060688776500
• Sum of proper divisors (its aliquot sum) s(n): 223629722591223200
• 146388338097553300 is an abundant number, because the sum of its proper divisors (223629722591223200) is greater than itself. Its abundance is 77241384493669900

Bases of 146388338097553300

• Binary: 1000001000000100110110101011111011100100000111111110010100₂
• Hexadecimal: 0x208136AFB907F94
• Base-36: 141EC24KEDG4

Squares and roots of 146388338097553300

• 146388338097553300 squared (146388338097553300²) is 21429545530963574916347446340890000
• 146388338097553300 cubed (146388338097553300³) is 3137035556463608154588340613273985877946744437000000
• The square root of 146388338097553300 is 382607289.6555334843
• The cube root of 146388338097553300 is 527030.1896891993

Scales and comparisons

• 146,388,338,097,553,300 seconds is equal to 4,654,696,342 years, 33 weeks, 2 days, 16 hours, 21 minutes, 40 seconds.
• To count from 1 to 146,388,338,097,553,300 would take you about thirteen billion, nine hundred sixty-four million, eighty-nine thousand and twenty-seven 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 146388338097553300 cubic inches would be around 43919.2 feet tall.

Recreational maths with 146388338097553300

• 146388338097553300 backwards is 003355790833883641
• The number of decimal digits it has is: 18
• The sum of 146388338097553300's digits is 76
• More coming soon!