13940905910473728

Names of 13940905910473728

• Cardinal: 13940905910473728 can be written as Thirteen quadrillion, nine hundred forty trillion, nine hundred five billion, nine hundred ten million, four hundred seventy-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3940905910473728 × 10¹⁶

Factors of 13940905910473728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2027

Divisors of 13940905910473728

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 53 54 64 67 72 82 96 106 108 123 128 134 144 159 164 192 201 212 216 246 256 268 288 318 328 369 384 402 424 432 477 492 512 536 576 603 636 656 738 768 804 848 864 954 984 1024 1072 1107 1152 1206 1272 1312 1431 1476 1536 1608 1696 1728 1809 1861 1908 1968 2144 2173 2214 2304 2412 2544 2624 2747 2862 2952 3072 3216 3392 3456 3551 3618 3722 3816 3936 4288 4346 4428 4608 4824 5088 5248 5494 5583 5724 5904 6432 6519 6784 6912 7102 7236 7444 7632 7872 8241 8576 8692 8856 9216 9648 10176 10496 10653 10988 11166 11448 11808 12864 13038 13568 13824 14204 14472 14888 15264 15744 16482 16749 17152 17384 17712 19296 19557 20352 20992 21306 21976 22332 22896 23616 24723 25728 26076 27136 27648 28408 28944 29776 30528 31488 31959 32964 33498 34304 34768 35424 38592 39114 40704 41984 42612 43952 44664 45792 47232 49446 50247 51456 52152 54272 56816 57888 58671 59552 61056 62976 63918 65928 66996 68608 69536 70848 74169 76301 77184 78228 81408 85224 87904 89328 91584 94464 95877 98633 98892 100494 102912 104304 113632 115776 117342 119104 122112 124687 125952 127836 131856 133992 139072 141696 145591 148338 152602 154368 156456 162816 170448 175808 178656 183168 188928 191754 197266 197784 200988 205824 208608 227264 228903 231552 234684 238208 244224 249374 255672 263712 267984 278144 283392 291182 295899 296676 305204 308736 312912 340896 351616 357312 366336 374061 377856 383508 394532 395568 401976 417216 436773 454528 457806 463104 469368 476416 488448 498748 511344 527424 535968 556288 566784 582364 591798 593352 610408 617472 625824 681792 686709 703232 714624 732672 748122 767016 789064 791136 803952 834432 873546 887697 909056 915612 926208 938736 952832 997496 1022688 1054848 1071936 1112576 1122183 1133568 1164728 1183596 1186704 1220816 1251648 1310319 1363584 1373418 1406464 1429248 1465344 1496244 1534032 1578128 1582272 1607904 1668864 1747092 1775394 1818112 1831224 1852416 1877472 1905664 1994992 2045376 2060127 2109696 2143872 2225152 2244366 2329456 2367192 2373408 2441632 2503296 2620638 2663091 2727168 2746836 2812928 2858496 2992488 3068064 3156256 3164544 3215808 3337728 3366549 3463321 3494184 3550788 3636224 3662448 3754944 3930957 3989984 4043953 4090752 4120254 4219392 4287744 4488732 4658912 4734384 4746816 4883264 5006592 5112167 5241276 5326182 5454336 5493672 5716992 5984976 6136128 6312512 6329088 6431616 6608411 6675456 6733098 6926642 6988368 7101576 7324896 7509888 7861914 7979968 8087906 8181504 8240508 8438784 8575488 8977464 9317824 9468768 9493632 9766528 10013184 10224334 10389963 10482552 10652364 10908672 10987344 11969952 12131859 12272256 12625024 12658176 12863232 13216822 13466196 13853284 13976736 14203152 14649792 15019776 15336501 15723828 15959936 16175812 16363008 16481016 17150976 17954928 18635648 18937536 18987264 19533056 19825233 20026368 20448668 20779926 20965104 21304728 21974688 23939904 24263718 24544512 25250048 25316352 25726464 26433644 26932392 27706568 27953472 28406304 29299584 30039552 30673002 31169889 31447656 31919872 32351624 32726016 32962032 35909856 36395577 37271296 37875072 37974528 39066112 39650466 40897336 41559852 41930208 42609456 43949376 46009503 47879808 48527436 49089024 50500096 51452928 52867288 53864784 55413136 55906944 56812608 58599168 59475699 60079104 61346004 62339778 62895312 63839744 64703248 65924064 71819712 72791154 74542592 75750144 75949056 78132224 79300932 81794672 83119704 83860416 85218912 87898752 92019006 93509667 95759616 97054872 98178048 101000192 105734576 107729568 109186731 110826272 111813888 113625216 117198336 118951398 122692008 124679556 125790624 127679488 129406496 131848128 138028509 141996161 143639424 145582308 149085184 151500288 158601864 163589344 166239408 167720832 170437824 175797504 178427097 183556013 184038012 187019334 191519232 194109744 211469152 215459136 218373462 221652544 223627776 227250432 232042507 234396672 237902796 245384016 249359112 251581248 258812992 263696256 270944851 276057018 283992322 287278848 291164616 303000576 317203728 327178688 332478816 335441664 340875648 351595008 356854194 367112026 368076024 374038668 383038464 388219488 422938304 425988483 430918272 436746924 443305088 447255552 454500864 464085014 475805592 490768032 498718224 503162496 517625984 527392512 541889702 550668039 552114036 567984644 574557696 582329232 634407456 654357376 664957632 670883328 681751296 696127521 703190016 713708388 734224052 736152048 748077336 776438976 812834553 845876608 851976966 861836544 873493848 886610176 909001728 928170028 951611184 981536064 997436448 1006324992 1035251968 1054785024 1083779404 1101336078 1104228072 1135969288 1149115392 1164658464 1268814912 1277965449 1308714752 1329915264 1341766656 1363502592 1392255042 1427416776 1468448104 1472304096 1496154672 1552877952 1625669106 1652004117 1691753216 1703953932 1723673088 1746987696 1773220352 1856340056 1903222368 1963072128 1994872896 2012649984 2070503936 2088382563 2109570048 2167558808 2202672156 2208456144 2271938576 2329316928 2438503659 2537629824 2555930898 2617429504 2659830528 2727005184 2784510084 2854833552 2936896208 2944608192 2992309344 3105755904 3251338212 3304008234 3383506432 3407907864 3447346176 3493975392 3546440704 3712680112 3806444736 3833896347 3926144256 3989745792 4025299968 4141007872 4176765126 4335117616 4405344312 4416912288 4543877152 4658633856 4877007318 4956012351 5075259648 5111861796 5234859008 5319661056 5569020168 5709667104 5873792416 5889216384 5984618688 6211511808 6265147689 6502676424 6608016468 6767012864 6815815728 6987950784 7315510977 7425360224 7525796533 7612889472 7667792694 7852288512 7979491584 8353530252 8670235232 8810688624 8833824576 9087754304 9317267712 9513742787 9754014636 9912024702 10150519296 10223723592 10639322112 11138040336 11419334208 11747584832 11778432768 11969237376 12298252871 12423023616 12530295378 13005352848 13216032936 13631631456 13975901568 14631021954 14850720448 15051593066 15225778944 15335585388 15704577024 15958983168 16707060504 17340470464 17621377248 17667649152 18175508608 18634535424 19027485574 19508029272 19824049404 20301038592 20447447184 22276080672 22577389599 22838668416 23495169664 23556865536 23938474752 24596505742 25060590756 26010705696 26432065872 27263262912 27951803136 28541228361 29262043908 29701440896 30103186132 30451557888 30671170776 31917966336 33414121008 34680940928 35242754496 35335298304 36351017216 36894758613 37269070848 38054971148 39016058544 39648098808 40894894368 44552161344 45154779198 45677336832 46990339328 47113731072 47876949504 49193011484 50121181512 52021411392 52864131744 54526525824 55903606272 57082456722 58524087816 59402881792 60206372264 60903115776 61342341552 66828242016 67732168797 69361881856 70485508992 70670596608 72702034432 73789517226 76109942296 78032117088 79296197616 81789788736 85623685083 89104322688 90309558396 91354673664 93980678656 95753899008 98386022968 100242363024 104042822784 105728263488 109053051648 110684275839 111807212544 114164913444 117048175632 118805763584 120412744528 122684683104 133656484032 135464337594 138723763712 140971017984 141341193216 145404068864 147579034452 152219884592 156064234176 158592395232 163579577472 171247370166 178208645376 180619116792 182709347328 187961357312 196772045936 200484726048 203196506391 208085645568 211456526976 218106103296 221368551678 228329826888 234096351264 237611527168 240825489056 245369366208 256871055249 267312968064 270928675188 277447527424 281942035968 295158068904 304439769184 312128468352 317184790464 327159154944 332052827517 342494740332 356417290752 361238233584 393544091872 400969452096 406393012782 416171291136 422913053952 436212206592 442737103356 456659653776 468192702528 481650978112 490738732416 504228367711 513742110498 534625936128 541857350376 563884071936 590316137808 608879538368 624256936704 634369580928 654318309888 664105655034 684989480664 712834581504 722476467168 787088183744 801938904192 812786025564 832342582272 845826107904 885474206712 913319307552 936385405056 963301956224 981477464832 1008456735422 1027484220996 1069251872256 1083714700752 1180632275616 1217759076736 1248513873408 1268739161856 1308636619776 1328211310068 1369978961328 1444952934336 1512685103133 1574176367488 1603877808384 1625572051128 1691652215808 1770948413424 1826638615104 1872770810112 1926603912448 1962954929664 2016913470844 2054968441992 2138503744512 2167429401504 2361264551232 2435518153472 2497027746816 2537478323712 2656422620136 2739957922656 2889905868672 3025370206266 3148352734976 3207755616768 3251144102256 3541896826848 3653277230208 3745541620224 3853207824896 3925909859328 4033826941688 4109936883984 4334858803008 4538055309399 4722529102464 4871036306944 5074956647424 5312845240272 5479915845312 5779811737344 6050740412532 6296705469952 6415511233536 6502288204512 7083793653696 7306554460416 7491083240448 7706415649792 8067653883376 8219873767968 8669717606016 9076110618798 9445058204928 9742072613888 10625690480544 10959831690624 11559623474688 12101480825064 12593410939904 13004576409024 13614165928197 14167587307392 14613108920832 16135307766752 16439747535936 17339435212032 18152221237596 18890116409856 21251380961088 21919663381248 23119246949376 24202961650128 26009152818048 27228331856394 28335174614784 29226217841664 32270615533504 32879495071872 34678870424064 36304442475192 37780232819712 42502761922176 43839326762496 48405923300256 52018305636096 54456663712788 56670349229568 64541231067008 65758990143744 69357740848128 72608884950384 85005523844352 87678653524992 96811846600512 104036611272192 108913327425576 113340698459136 129082462134016 131517980287488 145217769900768 170011047688704 193623693201024 208073222544384 217826654851152 258164924268032 263035960574976 290435539801536 340022095377408 387247386402048 435653309702304 516329848536064 580871079603072 774494772804096 871306619404608 1161742159206144 1548989545608192 1742613238809216 2323484318412288 3485226477618432 4646968636824576 6970452955236864 13940905910473728
• Sum of all divisors σ(n): 43757849679384960
• Sum of proper divisors (its aliquot sum) s(n): 29816943768911232
• 13940905910473728 is an abundant number, because the sum of its proper divisors (29816943768911232) is greater than itself. Its abundance is 15876037858437504

Bases of 13940905910473728

• Binary: 110001100001110010111000011000101001000001010000000000₂
• Hexadecimal: 0x31872E18A41400
• Base-36: 3T9MZRFKLC0

Squares and roots of 13940905910473728

• 13940905910473728 squared (13940905910473728²) is 194348857604681323050089378217984
• 13940905910473728 cubed (13940905910473728³) is 2709399137674918795790960712633191154849889124352
• The square root of 13940905910473728 is 118071613.4829778975
• The cube root of 13940905910473728 is 240674.6406401767

Scales and comparisons

• 13,940,905,910,473,728 seconds is equal to 443,277,685 years, 46 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,940,905,910,473,728 would take you about one billion, three hundred twenty-nine million, eight hundred thirty-three thousand and fifty-seven 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 13940905910473728 cubic inches would be around 20056.2 feet tall.

Recreational maths with 13940905910473728

• 13940905910473728 backwards is 82737401950904931
• 13940905910473728 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13940905910473728's digits is 72
• More coming soon!