12381414842016

Names of 12381414842016

• Cardinal: 12381414842016 can be written as Twelve trillion, three hundred eighty-one billion, four hundred fourteen million, eight hundred forty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.2381414842016 × 10¹³

Factors of 12381414842016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 884

Divisors of 12381414842016

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 67 72 74 88 96 99 111 121 132 134 144 148 176 198 201 222 242 264 268 288 296 331 333 352 363 396 402 407 433 444 484 528 536 592 603 662 666 726 737 792 804 814 866 888 968 993 1056 1072 1089 1184 1206 1221 1299 1324 1332 1452 1474 1584 1608 1628 1732 1776 1936 1986 2144 2178 2211 2412 2442 2479 2598 2648 2664 2904 2948 2979 3168 3216 3256 3464 3552 3641 3663 3872 3897 3972 4356 4422 4477 4763 4824 4884 4958 5196 5296 5328 5808 5896 5958 6432 6512 6633 6928 7282 7326 7437 7794 7944 8107 8712 8844 8954 9526 9648 9768 9916 10392 10592 10656 10923 11616 11792 11916 12247 13024 13266 13431 13856 14289 14564 14652 14874 15588 15888 16021 16214 17424 17688 17908 19052 19296 19536 19832 20784 21846 22177 22311 23584 23832 24321 24494 26532 26862 27269 28578 29011 29128 29304 29748 31176 31776 32042 32428 32769 34848 35376 35816 36741 38104 39072 39664 40051 40293 41568 42867 43692 44354 44622 47664 48063 48642 48988 52393 53064 53724 54538 57156 58022 58256 58608 59496 62352 64084 64856 65538 66531 70752 71632 72963 73482 76208 79328 80102 80586 81807 85734 87033 87384 88708 89244 95328 96126 97284 97976 104786 106128 107448 109076 110223 114312 116044 116512 117216 118992 120153 124704 128168 129712 131076 133062 134717 143264 143323 144189 145926 146964 152416 157179 160204 161172 163614 171468 174066 174768 176231 177416 178488 192252 194568 195952 199593 209572 212256 214896 218152 220446 228624 232088 237984 240306 243947 245421 256336 259424 261099 262152 266124 269434 286646 288378 291852 293928 299959 314358 319121 320408 322344 327228 342936 348132 349536 352462 354832 356976 360459 384504 389136 391904 399186 404151 419144 429792 429969 436304 440892 457248 464176 471537 480612 487894 490842 512672 522198 524304 528693 532248 538868 573292 576756 583704 587856 599918 628716 638242 640816 644688 654456 685872 696264 704924 709664 713952 720918 731841 769008 778272 798372 808302 820549 838288 859938 872608 881784 899877 928352 943074 957363 961224 975788 981684 1044396 1048608 1057386 1064496 1073407 1077736 1146584 1153512 1167408 1175712 1199836 1212453 1257432 1276484 1281632 1289376 1289907 1308912 1371744 1392528 1409848 1441836 1463682 1481887 1538016 1576553 1586079 1596744 1616604 1641098 1676576 1719876 1763568 1799754 1886148 1914726 1922448 1938541 1951576 1963368 2088792 2114772 2128992 2146814 2155472 2195523 2293168 2307024 2334816 2399672 2424906 2461647 2514864 2552968 2579814 2617824 2683417 2699631 2785056 2819696 2872089 2883672 2927364 2963774 3153106 3172158 3193488 3220221 3233208 3282196 3439752 3510331 3527136 3599508 3772296 3829452 3844896 3877082 3903152 3926736 4177584 4229544 4293628 4310944 4391046 4445661 4586336 4614048 4729659 4799344 4849812 4923294 5029728 5105936 5159628 5302951 5366834 5399262 5639392 5744178 5767344 5815623 5854728 5927548 6306212 6344316 6386976 6440442 6466416 6564392 6879504 7020662 7199016 7384941 7544592 7658904 7754164 7806304 7853472 8050251 8355168 8459088 8587256 8782092 8891322 9026039 9459318 9598688 9602641 9660663 9699624 9846588 10211872 10319256 10530993 10605902 10733668 10798524 11488356 11534688 11631246 11709456 11807477 11855096 12612424 12688632 12880884 12932832 13128784 13336983 13759008 14041324 14188977 14398032 14769882 15089184 15317808 15508328 15908853 16100502 16918176 17174512 17342083 17446869 17564184 17782644 18052078 18918636 19205282 19321326 19399248 19693176 20638512 21061986 21211804 21467336 21597048 22976712 23262492 23418912 23614954 23710192 24150753 25224848 25377264 25761768 26257568 26673966 27078117 28082648 28377954 28796064 28807923 29539764 30635616 31016656 31592979 31817706 32201004 34349024 34684166 34893738 35128368 35422431 35565288 36104156 37837272 38410564 38642652 38798496 39386352 41277024 42123972 42423608 42934672 43194096 45953424 46524984 47229908 47420384 47726559 48301506 50449696 50754528 51523536 52026249 53347932 54156234 56165296 56755908 57615846 58332461 59079528 62033312 63185958 63635412 64402008 69368332 69787476 70256736 70844862 71130576 72208312 75674544 76821128 77285304 78772704 81234351 84247944 84847216 85869344 86388192 86423769 91906848 93049968 94459816 95453118 96603012 99286429 103047072 104052498 105629051 106267293 106695864 108312468 112330592 113511816 115231692 116664922 118159056 126371916 127270824 128804016 129882247 138736664 139574952 141689724 142261152 144416624 151349088 153642256 154570608 156078747 162468702 168495888 169694432 172847538 174997383 186099936 188919632 190906236 193206024 198572858 208104996 211258102 212534586 213391728 216624936 227023632 230463384 233329844 236318112 252743832 254541648 257608032 259764494 277473328 279149904 283379448 288833248 297859287 307284512 309141216 312157494 316887153 324937404 336991776 345695076 349994766 355297717 377839264 381812472 386412048 389646741 397145716 416209992 422516204 425069172 426783456 433249872 454047264 460926768 466659688 505487664 509083296 519528988 524992149 554946656 558299808 566758896 595718574 624314988 633774306 641657071 649874808 691390152 699989532 710595434 763624944 772824096 779293482 794291432 832419984 845032408 850138344 866499744 893577861 921853536 933319376 950661459 1010975328 1039057976 1049984298 1065893151 1133517792 1161919561 1168940223 1191437148 1248629976 1267548612 1283314142 1299749616 1382780304 1399979064 1421190868 1527249888 1558586964 1588582864 1664839968 1690064816 1700276688 1787155722 1866638752 1901322918 1924971213 2078115952 2099968596 2131786302 2323839122 2337880446 2382874296 2497259952 2535097224 2566628284 2599499232 2765560608 2799958128 2842381736 3117173928 3177165728 3197679453 3380129632 3400553376 3485758683 3574311444 3802645836 3849942426 3908274887 4156231904 4199937192 4263572604 4647678244 4675760892 4765748592 4994519904 5070194448 5133256568 5599916256 5684763472 5774913639 6234347856 6395358906 6971517366 7148622888 7605291672 7699884852 7816549774 8399874384 8527145208 9295356488 9351521784 9531497184 10140388896 10266513136 10457276049 11369526944 11549827278 11724824661 12468695712 12790717812 13943034732 14297245776 15210583344 15399769704 15633099548 16799748768 17054290416 18590712976 18703043568 20533026272 20914552098 23099654556 23449649322 25581435624 27886069464 28594491552 30421166688 30799539408 31266199096 34108580832 35174473983 37181425952 37406087136 41829104196 42991023757 46199309112 46899298644 51162871248 55772138928 61599078816 62532398192 70348947966 83658208392 85982047514 92398618224 93798597288 102325742496 111544277856 125064796384 128973071271 140697895932 167316416784 171964095028 184797236448 187597194576 257946142542 281395791864 334632833568 343928190056 375194389152 386919213813 515892285084 562791583728 687856380112 773838427626 1031784570168 1125583167456 1375712760224 1547676855252 2063569140336 3095353710504 4127138280672 6190707421008 12381414842016
• Sum of all divisors σ(n): 40556070120384
• Sum of proper divisors (its aliquot sum) s(n): 28174655278368
• 12381414842016 is an abundant number, because the sum of its proper divisors (28174655278368) is greater than itself. Its abundance is 15793240436352

Bases of 12381414842016

• Binary: 10110100001011000101110101010101111010100000₂
• Hexadecimal: 0xB42C5D55EA0
• Base-36: 4DZXYPUW0

Squares and roots of 12381414842016

• 12381414842016 squared (12381414842016²) is 153299433490094090238944256
• 12381414842016 cubed (12381414842016³) is 1898063881086895619796793243092870660096
• The square root of 12381414842016 is 3518723.4676819945
• The cube root of 12381414842016 is 23134.3210526517

Scales and comparisons

• 12,381,414,842,016 seconds is equal to 393,690 years, 36 weeks, 12 hours, 33 minutes, 36 seconds.
• To count from 1 to 12,381,414,842,016 would take you about nine hundred eighty-four thousand, two hundred twenty-six 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 12381414842016 cubic inches would be around 1927.9 feet tall.

Recreational maths with 12381414842016

• 12381414842016 backwards is 61024841418321
• The number of decimal digits it has is: 14
• The sum of 12381414842016's digits is 45
• More coming soon!