106938788216832

Names of 106938788216832

• Cardinal: 106938788216832 can be written as One hundred six trillion, nine hundred thirty-eight billion, seven hundred eighty-eight million, two hundred sixteen thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.06938788216832 × 10¹⁴

Factors of 106938788216832

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 592

Divisors of 106938788216832

• Number of divisors d(n): 684
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 176 192 198 208 234 256 264 286 288 312 352 384 396 416 429 468 512 528 563 572 576 624 704 768 792 832 858 936 1024 1056 1126 1144 1152 1248 1287 1408 1536 1584 1664 1689 1716 1872 2048 2112 2252 2288 2304 2496 2574 2816 3072 3168 3328 3378 3432 3744 4096 4224 4504 4576 4608 4992 5067 5148 5632 6144 6193 6336 6656 6756 6864 7319 7488 8192 8448 9008 9152 9216 9984 10134 10296 11264 12288 12386 12672 13312 13512 13728 14638 14976 16384 16896 18016 18304 18432 18579 19968 20268 20592 21957 22528 24576 24772 25344 26624 27024 27456 29276 29952 32768 33792 36032 36608 36864 37158 39936 40536 41184 43914 45056 49152 49544 50688 53248 54048 54912 55737 58552 59904 65536 65871 67584 72064 73216 73728 74316 79872 80509 81072 82368 87828 90112 98304 99088 101376 106496 108096 109824 111474 117104 119808 131072 131742 135168 144128 146432 147456 148632 159744 161018 162144 164736 175656 180224 196608 198176 202752 212992 216192 219648 222948 234208 239616 241527 262144 263484 270336 288256 292864 294912 297264 316969 319488 322036 324288 329472 351312 360448 393216 396352 405504 425984 432384 439296 445896 468416 479232 483054 526968 540672 576512 585728 589824 594528 633938 638976 644072 648576 658944 702624 720896 724581 786432 792704 811008 851968 864768 878592 891792 936832 950907 958464 966108 1053936 1081344 1153024 1171456 1179648 1189056 1267876 1277952 1288144 1297152 1317888 1405248 1441792 1449162 1585408 1622016 1703936 1729536 1757184 1783584 1873664 1901814 1916928 1932216 2107872 2162688 2306048 2342912 2359296 2378112 2535752 2555904 2576288 2594304 2635776 2810496 2852721 2883584 2898324 3170816 3244032 3407872 3459072 3486659 3514368 3567168 3747328 3803628 3833856 3864432 4120597 4215744 4325376 4612096 4685824 4756224 5071504 5111808 5152576 5188608 5271552 5620992 5705442 5796648 6341632 6488064 6918144 6973318 7028736 7134336 7494656 7607256 7667712 7728864 8241194 8431488 8650752 9224192 9371648 9512448 10143008 10223616 10305152 10377216 10459977 10543104 11241984 11410884 11593296 12361791 12683264 12976128 13836288 13946636 14057472 14268672 14989312 15214512 15335424 15457728 16482388 16862976 18448384 18743296 19024896 20286016 20610304 20754432 20919954 21086208 22483968 22821768 23186592 24723582 25366528 25952256 27672576 27893272 28114944 28537344 29978624 30429024 30670848 30915456 31379931 32964776 33725952 36896768 37085373 37486592 38049792 40572032 41220608 41508864 41839908 42172416 44967936 45326567 45643536 46373184 49447164 50733056 55345152 55786544 56229888 57074688 59957248 60858048 61830912 62759862 65929552 67451904 73793536 74170746 76099584 81144064 82441216 83017728 83679816 84344832 89935872 90653134 91287072 92746368 98894328 101466112 110690304 111573088 112459776 114149376 119914496 121716096 123661824 125519724 131859104 134903808 135979701 147587072 148341492 152199168 162288128 164882432 166035456 167359632 168689664 179871744 181306268 182574144 185492736 197788656 202932224 221380608 223146176 228298752 239828992 243432192 247323648 251039448 263718208 269807616 271959402 296682984 304398336 324576256 329764864 332070912 334719264 337379328 359743488 362612536 365148288 370985472 395577312 405864448 407939103 442761216 446292352 456597504 479657984 486864384 494647296 502078896 527436416 539615232 543918804 593365968 608796672 649152512 659529728 664141824 669438528 719486976 725225072 730296576 741970944 791154624 811728896 815878206 892584704 913195008 959315968 973728768 989294592 1004157792 1054872832 1079230464 1087837608 1186731936 1217593344 1298305024 1319059456 1328283648 1338877056 1438973952 1450450144 1460593152 1483941888 1582309248 1623457792 1631756412 1785169408 1826390016 1918631936 1947457536 1978589184 2008315584 2109745664 2158460928 2175675216 2373463872 2435186688 2596610048 2638118912 2677754112 2877947904 2900900288 2921186304 2967883776 3164618496 3263512824 3570338816 3652780032 3894915072 3957178368 4016631168 4219491328 4316921856 4351350432 4746927744 4870373376 5193220096 5276237824 5355508224 5755895808 5801800576 5842372608 5935767552 6329236992 6527025648 7140677632 7305560064 7789830144 7914356736 8033262336 8438982656 8633843712 8702700864 9493855488 10386440192 10552475648 10711016448 11603601152 11684745216 11871535104 12658473984 13054051296 14281355264 14611120128 15579660288 15828713472 16066524672 16877965312 17267687424 17405401728 18987710976 20772880384 21104951296 21422032896 23207202304 23369490432 23743070208 25316947968 26108102592 28562710528 31159320576 31657426944 32133049344 33755930624 34810803456 37975421952 41545760768 42844065792 46414404608 46738980864 47486140416 50633895936 52216205184 57125421056 62318641152 63314853888 64266098688 67511861248 69621606912 75950843904 83091521536 85688131584 92828809216 93477961728 94972280832 101267791872 104432410368 114250842112 124637282304 128532197376 135023722496 139243213824 151901687808 171376263168 185657618432 186955923456 189944561664 202535583744 208864820736 228501684224 249274564608 257064394752 270047444992 278486427648 303803375616 342752526336 371315236864 373911846912 405071167488 417729641472 457003368448 514128789504 540094889984 556972855296 607606751232 685505052672 742630473728 747823693824 810142334976 835459282944 914006736896 1028257579008 1080189779968 1113945710592 1215213502464 1371010105344 1485260947456 1620284669952 1670918565888 2056515158016 2227891421184 2430427004928 2742020210688 2970521894912 3240569339904 3341837131776 4113030316032 4455782842368 4860854009856 5941043789824 6683674263552 8226060632064 8911565684736 9721708019712 11882087579648 13367348527104 17823131369472 26734697054208 35646262738944 53469394108416 106938788216832
• Sum of all divisors σ(n): 363588877952664
• Sum of proper divisors (its aliquot sum) s(n): 256650089735832
• 106938788216832 is an abundant number, because the sum of its proper divisors (256650089735832) is greater than itself. Its abundance is 149711301519000

Bases of 106938788216832

• Binary: 11000010100001010100000011111000000000000000000₂
• Hexadecimal: 0x6142A07C0000
• Base-36: 11WN01FCW0

Squares and roots of 106938788216832

• 106938788216832 squared (106938788216832²) is 11435904425284446606248116224
• 106938788216832 cubed (106938788216832³) is 1222941761403425303666163902803688049082368
• The square root of 106938788216832 is 10341121.2262903099
• The cube root of 106938788216832 is 47465.5392846799

Scales and comparisons

• 106,938,788,216,832 seconds is equal to 3,400,322 years, 35 weeks, 3 days, 5 hours, 7 minutes, 12 seconds.
• To count from 1 to 106,938,788,216,832 would take you about eight million, five hundred thousand, eight hundred 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 106938788216832 cubic inches would be around 3955.5 feet tall.

Recreational maths with 106938788216832

• 106938788216832 backwards is 238612887839601
• 106938788216832 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106938788216832's digits is 72
• More coming soon!