12338163651993264

Names of 12338163651993264

• Cardinal: 12338163651993264 can be written as Twelve quadrillion, three hundred thirty-eight trillion, one hundred sixty-three billion, six hundred fifty-one million, nine hundred ninety-three thousand, two hundred sixty-four.

Scientific notation

• Scientific notation: 1.2338163651993264 × 10¹⁶

Factors of 12338163651993264

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 456736

Divisors of 12338163651993264

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 367 387 408 516 612 688 701 731 734 774 816 1032 1101 1224 1402 1462 1468 1548 2064 2103 2193 2202 2448 2804 2924 2936 3096 3303 4206 4386 4404 5608 5848 5872 6192 6239 6309 6579 6606 8412 8772 8808 11216 11696 11917 12478 12618 13158 13212 15781 16824 17544 17616 18717 23834 24956 25236 26316 26424 30143 31562 33648 35088 35751 37434 47343 47668 49912 50472 52632 52848 56151 60286 63124 71502 74868 90429 94686 95336 99824 100944 105264 107253 112302 120572 126248 142029 143004 149736 180858 189372 190672 214506 224604 241144 252496 257267 268277 271287 284058 286008 299472 361716 378744 429012 449208 455603 482288 512431 514534 536554 542574 568116 572016 723432 757488 771801 804831 858024 898416 911206 1024862 1029068 1073108 1085148 1136232 1366809 1446864 1537293 1543602 1609662 1716048 1822412 2049724 2058136 2146216 2170296 2272464 2315403 2414493 2733618 3074586 3087204 3219324 3644824 4099448 4100427 4116272 4292432 4340592 4373539 4611879 4630806 4828986 5467236 6149172 6174408 6438648 7289648 7745251 8198896 8200854 8747078 9223758 9261612 9657972 10934472 11062481 12298344 12348816 12877296 13120617 15490502 16401708 17494156 18447516 18523224 19315944 19590929 21868944 22124962 23235753 24596688 26241234 30981004 32803416 33187443 34988312 36895032 37046448 38631888 39181858 39361851 44249924 46471506 52482468 58772787 61962008 65606832 66374886 69707259 69976624 73790064 78363716 78723702 88499848 92943012 99562329 104964936 117545574 123924016 132749772 139414518 156727432 157447404 167206301 176318361 176999696 185886024 188062177 199124658 209929872 235091148 265499544 278829036 313454864 314894808 319377703 333045793 334412602 352636722 371772048 376124354 398249316 470182296 501618903 530999088 557658072 564186531 629789616 638755406 666091586 668825204 705273444 752248708 796498632 940364592 958133109 999137379 1003237806 1115316144 1128373062 1277510812 1332183172 1337650408 1410546888 1504497416 1504856709 1592997264 1692559593 1916266218 1998274758 2006475612 2256746124 2555021624 2664366344 2675300816 2821093776 2842507117 2874399327 2997412137 3008994832 3009713418 3385119186 3832532436 3996549516 4012951224 4513492248 5110043248 5328732688 5429420951 5685014234 5748798654 5994824274 6019426836 6770238372 7189870943 7665064872 7993099032 8025902448 8527521351 9026984496 10858841902 11370028468 11497597308 11989648548 12038853672 13540476744 13733241229 14379741886 15330129744 15986198064 16288262853 17055042702 21569612829 21717683804 22740056936 22995194616 23979297096 24077707344 25582564053 27080953488 27466482458 28759483772 32576525706 34110085404 41199723687 43139225658 43435367608 45480113872 45990389232 47958594192 48864788559 51165128106 54932964916 57518967544 64708838487 65153051412 68220170808 82399447374 86278451316 86870735216 97729577118 102330256212 109865929832 115037935088 117211617001 122227806031 123599171061 129417676974 130306102824 136440341616 164798894748 172556902632 195459154236 204660512424 219731859664 233465100893 234423234002 244455612062 247198342122 258835353948 260612205648 329597789496 345113805264 351634851003 366683418093 390918308472 409321024848 466930201786 468846468004 488911224124 494396684244 517670707896 659195578992 700395302679 703269702006 733366836186 781836616944 933860403572 937692936008 977822448248 988793368488 1035341415792 1054904553009 1100050254279 1400790605358 1406539404012 1466733672372 1867720807144 1875385872016 1955644896496 1977586736976 1992597489017 2101185908037 2109809106018 2200100508558 2801581210716 2813078808024 2933467344744 3735441614288 3985194978034 4202371816074 4219618212036 4400201017116 5040099531043 5603162421432 5626157616048 5866934689488 5977792467051 7970389956068 8404743632148 8439236424072 8800402034232 10080199062086 11206324842864 11955584934102 15120298593129 15940779912136 16809487264296 16878472848144 17600804068464 17933377401153 20160398124172 23911169868204 30240597186258 31881559824272 33618974528592 35866754802306 40320796248344 45360895779387 47822339736408 60481194372516 71733509604612 80641592496688 85681692027731 90721791558774 95644679472816 120962388745032 143467019209224 171363384055462 181443583117548 241924777490064 257045076083193 286934038418448 342726768110924 362887166235096 514090152166386 685453536221848 725774332470192 771135228249579 1028180304332772 1370907072443696 1542270456499158 2056360608665544 3084540912998316 4112721217331088 6169081825996632 12338163651993264
• Sum of all divisors σ(n): 37566668876166144
• Sum of proper divisors (its aliquot sum) s(n): 25228505224172880
• 12338163651993264 is an abundant number, because the sum of its proper divisors (25228505224172880) is greater than itself. Its abundance is 12890341572179616

Bases of 12338163651993264

• Binary: 101011110101010111111010010101101010000101111010110000₂
• Hexadecimal: 0x2BD57E95A85EB0
• Base-36: 3DHII4SG980

Squares and roots of 12338163651993264

• 12338163651993264 squared (12338163651993264²) is 152230282303367757363280301373696
• 12338163651993264 cubed (12338163651993264³) is 1878242135848085477906784888682942599987738783744
• The square root of 12338163651993264 is 111077286.8411596737
• The cube root of 12338163651993264 is 231073.5175256029

Scales and comparisons

• 12,338,163,651,993,264 seconds is equal to 392,315,439 years, 35 weeks, 5 days, 5 hours, 14 minutes, 24 seconds.
• To count from 1 to 12,338,163,651,993,264 would take you about one billion, one hundred seventy-six million, nine hundred forty-six thousand, three hundred nineteen 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 12338163651993264 cubic inches would be around 19256.1 feet tall.

Recreational maths with 12338163651993264

• 12338163651993264 backwards is 46239915636183321
• 12338163651993264 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12338163651993264's digits is 72
• More coming soon!