146331761973407936

Names of 146331761973407936

• Cardinal: 146331761973407936 can be written as One hundred forty-six quadrillion, three hundred thirty-one trillion, seven hundred sixty-one billion, nine hundred seventy-three million, four hundred seven thousand, nine hundred thirty-six.

Scientific notation

• Scientific notation: 1.46331761973407936 × 10¹⁷

Factors of 146331761973407936

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 327

Divisors of 146331761973407936

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 16 19 32 38 64 73 76 146 152 233 292 304 361 466 584 608 722 932 1168 1216 1387 1444 1864 2336 2774 2888 3728 4427 4672 5548 5776 6859 7456 8854 11096 11552 13718 14912 17009 17708 22192 23104 26353 27436 34018 35416 44384 52706 54289 54872 68036 70832 84113 88768 105412 108578 109744 130321 136072 141664 168226 210824 217156 219488 260642 272144 283328 323171 336452 421648 434312 438976 500707 521284 544288 646342 672904 843296 868624 1001414 1031491 1042568 1088576 1292684 1345808 1598147 1686592 1737248 2002828 2062982 2085136 2476099 2585368 2691616 3196294 3474496 3963097 4005656 4125964 4170272 4952198 5170736 5383232 6140249 6392588 7926194 8011312 8251928 8340544 9513433 9904396 10341472 12280498 12649337 12785176 15852388 16022624 16503856 19026866 19598329 19808792 20682944 24560996 25298674 25570352 30364793 31704776 32045248 33007712 38053732 39196658 39617584 49121992 50597348 51140704 60729586 63409552 66015424 75298843 76107464 78393316 79235168 98243984 101194696 102281408 116664731 121459172 126819104 150597686 152214928 156786632 158470336 180755227 196487968 202389392 233329462 240337403 242918344 253638208 301195372 304429856 313573264 361510454 372368251 392975936 404778784 466658924 480674806 485836688 576931067 602390744 608859712 627146528 723020908 744736502 809557568 923401601 933317848 961349612 971673376 1153862134 1204781488 1254293056 1430678017 1446041816 1489473004 1846803202 1866635696 1922699224 1943346752 2216629889 2307724268 2409562976 2861356034 2892083632 2978946008 3693606404 3733271392 3845398448 4433259778 4566410657 4615448536 4819125952 5722712068 5784167264 5957892016 7074996769 7387212808 7466542784 7690796896 8866519556 9132821314 9230897072 11445424136 11568334528 11915784032 14149993538 14774425616 15381593792 17544630419 17733039112 18265642628 18461794144 22890848272 23831568064 27182882323 28299987076 29548851232 35089260838 35466078224 36531285256 36923588288 42115967891 45781696544 54365764646 56599974152 59097702464 70178521676 70932156448 73062570512 84231935782 86761802483 91563393088 108731529292 113199948304 134424938611 140357043352 141864312896 146125141024 168463871564 173523604966 217463058584 226399896608 268849877222 280714086704 292250282048 333347977961 336927743128 347047209932 434926117168 452799793216 516474764137 537699754444 561428173408 666695955922 673855486256 694094419864 869852234336 1032949528274 1075399508888 1122856346816 1333391911844 1347710972512 1388188839728 1648474247177 1739704468672 2065899056548 2150799017776 2666783823688 2695421945024 2776377679456 3296948494354 4131798113096 4301598035552 5333567647376 5552755358912 6333611581259 6593896988708 8263596226192 8603196071104 9813020518603 10667135294752 12667223162518 13187793977416 16527192452384 19626041037206 21334270589504 25334446325036 26375587954832 31321010696363 33054384904768 39252082074412 50668892650072 52751175909664 62642021392726 78504164148824 101337785300144 105502351819328 120338620043921 125284042785452 157008328297648 202675570600288 240677240087842 250568085570904 314016656595296 405351141200576 481354480175684 501136171141808 628033313190592 962708960351368 1002272342283616 1925417920702736 2004544684567232 2286433780834499 3850835841405472 4572867561668998 7701671682810944 9145735123337996 18291470246675992 36582940493351984 73165880986703968 146331761973407936
• Sum of all divisors σ(n): 312047157697984800
• Sum of proper divisors (its aliquot sum) s(n): 165715395724576864
• 146331761973407936 is an abundant number, because the sum of its proper divisors (165715395724576864) is greater than itself. Its abundance is 19383633751168928

Bases of 146331761973407936

• Binary: 1000000111110111111111011001010011110010000011000011000000₂
• Hexadecimal: 0x207DFF653C830C0
• Base-36: 140UA3EWU2M8

Squares and roots of 146331761973407936

• 146331761973407936 squared (146331761973407936²) is 21412984562242116840033601867780096
• 146331761973407936 cubed (146331761973407936³) is 3133399760102272171901834746013101173190624149241856
• The square root of 146331761973407936 is 382533347.5311766019
• The cube root of 146331761973407936 is 526962.2854469247

Scales and comparisons

• 146,331,761,973,407,936 seconds is equal to 4,652,897,396 years, 46 weeks, 3 days, 23 hours, 58 minutes, 56 seconds.
• To count from 1 to 146,331,761,973,407,936 would take you about thirteen billion, nine hundred fifty-eight million, six hundred ninety-two thousand, one hundred ninety 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 146331761973407936 cubic inches would be around 43913.5 feet tall.

Recreational maths with 146331761973407936

• 146331761973407936 backwards is 639704379167133641
• The number of decimal digits it has is: 18
• The sum of 146331761973407936's digits is 80
• More coming soon!