106746526089216

Names of 106746526089216

• Cardinal: 106746526089216 can be written as One hundred six trillion, seven hundred forty-six billion, five hundred twenty-six million, eighty-nine thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.06746526089216 × 10¹⁴

Factors of 106746526089216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 170

Divisors of 106746526089216

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 64 72 78 86 96 104 109 117 128 129 144 156 172 192 208 218 234 256 258 288 312 327 344 384 387 416 436 468 512 516 559 576 624 654 688 768 774 832 872 936 981 1024 1032 1118 1152 1248 1308 1376 1417 1536 1548 1664 1677 1744 1872 1962 2048 2064 2236 2304 2496 2616 2752 2834 3072 3096 3328 3354 3488 3744 3924 4096 4128 4251 4472 4608 4687 4992 5031 5232 5504 5668 6144 6192 6656 6708 6976 7488 7848 8192 8256 8502 8944 9216 9374 9984 10062 10464 11008 11336 11881 12288 12384 12753 13312 13416 13952 14061 14976 15696 16384 16512 17004 17888 18432 18748 19968 20124 20928 22016 22672 23762 24576 24768 25506 26624 26832 27904 28122 29952 31392 33024 34008 35643 35776 36864 37496 39936 40248 41856 42183 44032 45344 47524 49152 49536 51012 53248 53664 55808 56244 59904 60931 62784 66048 68016 71286 71552 73728 74992 79872 80496 83712 84366 88064 90688 95048 99072 102024 106496 106929 107328 111616 112488 119808 121862 125568 132096 136032 142572 143104 147456 149984 154453 159744 160992 167424 168732 176128 181376 182793 190096 198144 204048 212992 213858 214656 223232 224976 239616 243724 251136 264192 272064 285144 286208 299968 308906 319488 321984 334848 337464 352256 362752 365586 380192 396288 408096 427716 429312 446464 449952 463359 479232 487448 502272 510883 528384 544128 548379 570288 572416 599936 617812 638976 643968 669696 674928 704512 725504 731172 760384 792576 816192 855432 858624 892928 899904 926718 958464 974896 1004544 1021766 1056768 1088256 1096758 1140576 1144832 1199872 1235624 1287936 1295029 1339392 1349856 1390077 1451008 1462344 1520768 1532649 1585152 1632384 1710864 1717248 1785856 1799808 1853436 1916928 1949792 2009088 2043532 2113536 2176512 2193516 2281152 2289664 2399744 2471248 2575872 2590058 2678784 2699712 2780154 2902016 2924688 3041536 3065298 3170304 3264768 3421728 3434496 3599616 3706872 3885087 3899584 4018176 4087064 4353024 4387032 4562304 4579328 4597947 4799488 4942496 5151744 5180116 5357568 5399424 5560308 5804032 5849376 6083072 6130596 6340608 6529536 6641479 6843456 6868992 7199232 7413744 7770174 7799168 8036352 8174128 8706048 8774064 9124608 9158656 9195894 9598976 9884992 10303488 10360232 10798848 11120616 11608064 11655261 11698752 12166144 12261192 13059072 13282958 13686912 13737984 14398464 14827488 15540348 15598336 16072704 16348256 16835377 17412096 17548128 18249216 18391788 19197952 19769984 19924437 20606976 20720464 21597696 22241232 23216128 23310522 23397504 24332288 24522384 26118144 26565916 27373824 27475968 28796928 29654976 31080696 31196672 32696512 33670754 34824192 35096256 36498432 36783576 38395904 39539968 39848874 41213952 41440928 43195392 44482464 46621044 46795008 48664576 49044768 50506131 52236288 53131832 54747648 55686247 57593856 59309952 59773311 62161392 62393344 65393024 67341508 69648384 70192512 72996864 73567152 76791808 79079936 79697748 82427904 82881856 86390784 88964928 93242088 93590016 97329152 98089536 101012262 104472576 106263664 109495296 111372494 115187712 118619904 119546622 124322784 124786688 130786048 134683016 140385024 145993728 147134304 151518393 158159872 159395496 165763712 167058741 172781568 177929856 186484176 187180032 194658304 196179072 202024524 208945152 212527328 218990592 222744988 230375424 237239808 239093244 248645568 249573376 261572096 269366032 280770048 291987456 294268608 303036786 316319744 318790992 331527424 334117482 345563136 355859712 372968352 374360064 392358144 404049048 425054656 437981184 445489976 474479616 478186488 497291136 499146752 501176223 523144192 538732064 561540096 583974912 588537216 606073572 632639488 637581984 663054848 668234964 691126272 711719424 723921211 745936704 748720128 784716288 808098096 850109312 875962368 890979952 948959232 956372976 994582272 998293504 1002352446 1046288384 1077464128 1123080192 1177074432 1212147144 1265278976 1275163968 1326109696 1336469928 1423438848 1447842422 1491873408 1497440256 1569432576 1616196192 1700218624 1751924736 1781959904 1897918464 1912745952 1989164544 2004704892 2092576768 2154928256 2171763633 2246160384 2354148864 2424294288 2530557952 2550327936 2652219392 2672939856 2846877696 2895684844 2983746816 2994880512 3138865152 3232392384 3400437248 3563919808 3795836928 3825491904 3978329088 4009409784 4185153536 4309856512 4343527266 4492320768 4708297728 4848588576 5100655872 5304438784 5345879712 5693755392 5791369688 5967493632 6277730304 6464784768 6515290899 6800874496 7127839616 7591673856 7650983808 7956658176 8018819568 8370307072 8619713024 8687054532 8984641536 9416595456 9697177152 10201311744 10608877568 10691759424 11387510784 11582739376 11934987264 12555460608 12929569536 13030581798 13601748992 14255679232 15301967616 15913316352 16037639136 17239426048 17374109064 18833190912 19394354304 20402623488 21217755136 21383518848 22775021568 23165478752 23869974528 25110921216 25859139072 26061163596 27203497984 28511358464 30603935232 31826632704 32075278272 34478852096 34748218128 37666381824 38788708608 40805246976 42767037696 46330957504 47739949056 51718278144 52122327192 54406995968 57022716928 61207870464 63653265408 64150556544 68957704192 69496436256 75332763648 77577417216 81610493952 85534075392 92661915008 95479898112 103436556288 104244654384 108813991936 114045433856 122415740928 128301113088 137915408384 138992872512 155154834432 163220987904 171068150784 185323830016 190959796224 206873112576 208489308768 228090867712 244831481856 256602226176 275830816768 277985745024 310309668864 326441975808 342136301568 370647660032 413746225152 416978617536 456181735424 489662963712 513204452352 555971490048 620619337728 684272603136 741295320064 827492450304 833957235072 912363470848 979325927424 1026408904704 1111942980096 1241238675456 1368545206272 1482590640128 1667914470144 2052817809408 2223885960192 2482477350912 2737090412544 2965181280256 3335828940288 4105635618816 4447771920384 5930362560512 6671657880576 8211271237632 8895543840768 11860725121024 13343315761152 17791087681536 26686631522304 35582175363072 53373263044608 106746526089216
• Sum of all divisors σ(n): 342959611714720
• Sum of proper divisors (its aliquot sum) s(n): 236213085625504
• 106746526089216 is an abundant number, because the sum of its proper divisors (236213085625504) is greater than itself. Its abundance is 129466559536288

Bases of 106746526089216

• Binary: 11000010001010111011100110001001100000000000000₂
• Hexadecimal: 0x6115DCC4C000
• Base-36: 11U6ODIPS0

Squares and roots of 106746526089216

• 106746526089216 squared (106746526089216²) is 11394820832115672135191494656
• 106746526089216 cubed (106746526089216³) is 1216357539237377565944726204488809443229696
• The square root of 106746526089216 is 10331821.0441923547
• The cube root of 106746526089216 is 47437.0765843159

Scales and comparisons

• 106,746,526,089,216 seconds is equal to 3,394,209 years, 17 weeks, 5 days, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 106,746,526,089,216 would take you about eight million, four hundred eighty-five thousand, five hundred twenty-three 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 106746526089216 cubic inches would be around 3953.1 feet tall.

Recreational maths with 106746526089216

• 106746526089216 backwards is 612980625647601
• The number of decimal digits it has is: 15
• The sum of 106746526089216's digits is 63
• More coming soon!