13746777827653728

Names of 13746777827653728

• Cardinal: 13746777827653728 can be written as Thirteen quadrillion, seven hundred forty-six trillion, seven hundred seventy-seven billion, eight hundred twenty-seven million, six hundred fifty-three thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3746777827653728 × 10¹⁶

Factors of 13746777827653728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 677057444

Divisors of 13746777827653728

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 29 32 33 34 36 39 44 48 51 52 58 66 68 72 78 87 88 96 99 102 104 116 117 132 136 143 144 153 156 174 176 187 198 204 208 221 232 234 261 264 272 286 288 306 312 319 348 352 374 377 396 408 416 429 442 464 468 493 522 528 544 561 572 612 624 638 663 696 748 754 792 816 858 884 928 936 957 986 1044 1056 1122 1131 1144 1224 1248 1276 1287 1326 1392 1479 1496 1508 1584 1632 1683 1716 1768 1872 1914 1972 1989 2088 2244 2262 2288 2431 2448 2552 2574 2652 2784 2871 2958 2992 3016 3168 3366 3393 3432 3536 3744 3828 3944 3978 4147 4176 4437 4488 4524 4576 4862 4896 5104 5148 5304 5423 5742 5916 5984 6032 6409 6732 6786 6864 7072 7293 7656 7888 7956 8294 8352 8874 8976 9048 9724 10208 10296 10608 10846 11484 11832 12064 12441 12818 13464 13572 13728 14586 15312 15776 15912 16269 16588 17748 17952 18096 19227 19448 20592 21216 21692 21879 22968 23664 24882 25636 26928 27144 29172 30624 31824 32538 33176 35496 36192 37323 38454 38896 41184 43384 43758 45936 47328 48807 49764 51272 53856 54288 57681 58344 63648 65076 66352 70499 70992 74646 76908 77792 86768 87516 91872 97614 99528 102544 108576 115362 116688 130152 132704 140998 141984 149292 153816 173536 175032 195228 199056 205088 211497 230724 233376 260304 281996 298584 307632 350064 390456 398112 422994 461448 520608 563992 597168 615264 634491 700128 780912 845988 922896 1127984 1194336 1268982 1561824 1691976 1845792 2255968 2537964 3383952 5075928 6767904 10151856 20303712 677057369 1354114738 2031172107 2708229476 4062344214 5416458952 6093516321 7447631059 8124688428 8801745797 10832917904 11509975273 12187032642 14895262118 16249376856 17603491594 19634663701 21665835808 22342893177 23019950546 24374065284 26405237391 29790524236 32498753712 34529925819 35206983188 39269327402 44685786354 46039901092 48748130568 52810474782 58903991103 59581048472 64997507424 67028679531 69059851638 70413966376 78538654804 79215712173 89371572708 92079802184 96819203767 97496261136 103589777457 105620949564 117807982206 119162096944 126609728003 134057359062 138119703276 140827932752 149629678549 157077309608 158431424346 176711973309 178743145416 184159604368 193638407534 194992522272 207179554914 211241899128 215981300711 235615964412 238324193888 253219456006 255250628113 268114718124 276239406552 281655865504 290457611301 299259357098 314154619216 316862848692 333789282917 353423946618 357486290832 368319208736 379829184009 387276815068 414359109828 422483798256 431962601422 448889035647 471231928824 506438912012 510501256226 536229436248 552478813104 580915222602 598518714196 628309238432 633725697384 647943902133 667578565834 706847893236 714972581664 759658368018 765751884339 774553630136 828718219656 844967596512 863925202844 871372833903 897778071294 942463857648 1001367848751 1012877824024 1021002512452 1072458872496 1104957626208 1139487552027 1161830445204 1197037428392 1267451394768 1295887804266 1335157131668 1346667106941 1413695786472 1519316736036 1531503768678 1549107260272 1645926464039 1657436439312 1727850405688 1742745667806 1795556142588 1884927715296 1943831706399 2002735697502 2025755648048 2042005024904 2144917744992 2278975104054 2297255653017 2323660890408 2394074856784 2534902789536 2591775608532 2670314263336 2693334213882 2807756909243 2827391572944 3004103546253 3038633472072 3063007537356 3098214520544 3291852928078 3314872878624 3455700811376 3485491335612 3591112285176 3671682112087 3887663412798 4005471395004 4051511296096 4084010049808 4339260677921 4557950208108 4594511306034 4647321780816 4788149713568 4937779392117 5183551217064 5340628526672 5386668427764 5615513818486 5654783145888 6008207092506 6077266944144 6126015074712 6583705856156 6911401622752 6970982671224 7182224570352 7343364224174 7775326825596 8010942790008 8168020099616 8423270727729 8678521355842 9115900416216 9189022612068 9294643561632 9875558784234 10367102434128 10681257053344 10773336855528 11015046336261 11231027636972 12016414185012 12154533888288 12252030149424 13017782033763 13167411712312 13941965342448 14364449140704 14686728448348 14813338176351 15550653651192 16021885580016 16846541455458 17357042711684 18231800832432 18378045224136 19751117568468 20734204868256 21546673711056 22030092672522 22462055273944 24032828370024 24504060298848 25269812183187 26035564067526 26334823424624 27883930684896 29373456896696 29626676352702 31101307302384 32043771160032 33045139008783 33693082910916 34714085423368 36463601664864 36756090448272 39053346101289 39502235136936 43093347422112 44060185345044 44924110547888 47731867457131 48065656740048 50539624366374 52071128135052 52669646849248 58746913793392 59253352705404 62202614604768 66090278017566 67386165821832 69428170846736 73512180896544 78106692202578 79004470273872 88120370690088 89848221095776 95463734914262 96131313480096 101079248732748 104142256270104 117493827586784 118506705410808 132180556035132 134772331643664 138856341693472 143195602371393 156213384405156 158008940547744 176240741380176 190927469828524 202158497465496 208284512540208 237013410821616 264361112070264 269544663287328 286391204742786 312426768810312 352481482760352 381854939657048 404316994930992 416569025080416 429586807114179 474026821643232 528722224140528 572782409485572 624853537620624 763709879314096 808633989861984 859173614228358 1057444448281056 1145564818971144 1249707075241248 1527419758628192 1718347228456716 2291129637942288 3436694456913432 4582259275884576 6873388913826864 13746777827653728
• Sum of all divisors σ(n): 50305145932641600
• Sum of proper divisors (its aliquot sum) s(n): 36558368104987872
• 13746777827653728 is an abundant number, because the sum of its proper divisors (36558368104987872) is greater than itself. Its abundance is 22811590277334144

Bases of 13746777827653728

• Binary: 110000110101101001111100100001001110010011100001100000₂
• Hexadecimal: 0x30D69F21393860
• Base-36: 3RCTQJVAS80

Squares and roots of 13746777827653728

• 13746777827653728 squared (13746777827653728²) is 188973900642872149080005472297984
• 13746777827653728 cubed (13746777827653728³) is 2597782227362673434688321199898363005395184484352
• The square root of 13746777827653728 is 117246653.8015210395
• The cube root of 13746777827653728 is 239552.2777177531

Scales and comparisons

• 13,746,777,827,653,728 seconds is equal to 437,105,013 years, 17 weeks, 6 days, 2 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,746,777,827,653,728 would take you about one billion, three hundred eleven million, three hundred fifteen thousand and forty 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 13746777827653728 cubic inches would be around 19962.7 feet tall.

Recreational maths with 13746777827653728

• 13746777827653728 backwards is 82735672877764731
• The number of decimal digits it has is: 17
• The sum of 13746777827653728's digits is 90
• More coming soon!