12977836885049344

Names of 12977836885049344

• Cardinal: 12977836885049344 can be written as Twelve quadrillion, nine hundred seventy-seven trillion, eight hundred thirty-six billion, eight hundred eighty-five million, forty-nine thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.2977836885049344 × 10¹⁶

Factors of 12977836885049344

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 369

Divisors of 12977836885049344

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 349 352 448 484 512 616 698 704 847 896 968 1024 1232 1331 1396 1408 1694 1792 1936 2048 2443 2464 2662 2792 2816 3388 3584 3839 3872 4096 4886 4928 5324 5584 5632 6776 7168 7678 7744 8192 9317 9772 9856 10648 11168 11264 13552 14336 15356 15488 16384 18634 19544 19712 21296 22336 22528 26873 27104 28672 30712 30976 32768 37268 39088 39424 42229 42592 44672 45056 53746 54208 57344 61424 61952 74536 78176 78848 84458 85184 89344 90112 107492 108416 114688 121801 122848 123904 149072 156352 157696 168916 170368 178688 180224 214984 216832 229376 243602 245696 247808 295603 298144 312704 315392 337832 340736 357376 360448 429968 433664 464519 487204 491392 495616 591206 596288 625408 630784 675664 681472 714752 852607 859936 867328 929038 974408 982784 991232 1182412 1192576 1250816 1261568 1339811 1351328 1362944 1429504 1705214 1719872 1734656 1858076 1948816 1965568 1982464 2364824 2385152 2501632 2523136 2679622 2702656 2725888 2859008 3251633 3410428 3439744 3469312 3716152 3897632 3931136 3964928 4729648 4770304 5003264 5359244 5405312 5451776 5718016 6503266 6820856 6879488 6938624 7432304 7795264 7862272 9378677 9459296 9540608 10006528 10718488 10810624 10903552 11436032 13006532 13641712 13758976 13877248 14737921 14864608 15590528 15724544 18757354 18918592 19081216 20013056 21436976 21621248 21807104 26013064 27283424 27517952 27754496 29475842 29729216 31181056 31449088 37514708 37837184 38162432 40026112 42508549 42873952 43242496 43614208 52026128 54566848 55035904 58951684 59458432 62362112 62898176 75029416 75674368 76324864 80052224 85017098 85747904 86484992 103165447 104052256 109133696 110071808 117903368 118916864 124724224 125796352 150058832 151348736 152649728 162117131 170034196 171495808 172969984 206330894 208104512 218267392 220143616 235806736 237833728 249448448 297559843 300117664 302697472 305299456 324234262 340068392 342991616 345939968 412661788 416209024 436534784 440287232 467594039 471613472 475667456 498896896 595119686 600235328 605394944 648468524 680136784 685983232 691879936 825323576 832418048 873069568 880574464 935188078 943226944 951334912 997793792 1134819917 1190239372 1200470656 1210789888 1296937048 1360273568 1371966464 1383759872 1650647152 1664836096 1746139136 1870376156 1886453888 1902669824 1995587584 2269639834 2380478744 2400941312 2421579776 2593874096 2720547136 2743932928 3273158273 3301294304 3329672192 3492278272 3740752312 3772907776 3805339648 3991175168 4539279668 4760957488 4801882624 4843159552 5143534429 5187748192 5441094272 5487865856 6546316546 6602588608 6659344384 6984556544 7481504624 7545815552 7610679296 9078559336 9521914976 9603765248 9686319104 10287068858 10375496384 10882188544 10975731712 13092633092 13205177216 13318688768 13969113088 14963009248 15091631104 15221358592 18157118672 19043829952 19207530496 20574137716 20750992768 21764377088 21951463424 26185266184 26410354432 26637377536 27938226176 29926018496 30183262208 36004741003 36314237344 38087659904 38415060992 41148275432 41501985536 43528754176 43902926848 52370532368 52820708864 53274755072 56578878719 59852036992 60366524416 72009482006 72628474688 76175319808 76830121984 82296550864 83003971072 87057508352 104741064736 105641417728 106549510144 113157757438 119704073984 120733048832 144018964012 145256949376 152350639616 153660243968 164593101728 166007942144 174115016704 209482129472 211282835456 226315514876 239408147968 241466097664 288037928024 290513898752 304701279232 307320487936 329186203456 332015884288 348230033408 396052151033 418964258944 422565670912 452631029752 478816295936 482932195328 576075856048 581027797504 609402558464 658372406912 664031768576 696460066816 792104302066 837928517888 845131341824 905262059504 957632591872 1152151712096 1162055595008 1218805116928 1316744813824 1328063537152 1392920133632 1584208604132 1675857035776 1690262683648 1810524119008 1915265183744 2304303424192 2324111190016 2437610233856 2633489627648 2656127074304 3168417208264 3351714071552 3380525367296 3621048238016 3830530367488 4608606848384 4648222380032 4875220467712 5266979255296 5312254148608 6336834416528 6703428143104 7242096476032 7661060734976 9217213696768 9296444760064 9750440935424 10533958510592 12673668833056 13406856286208 14484192952064 15322121469952 18434427393536 18592889520128 21067917021184 25347337666112 26813712572416 28968385904128 36868854787072 37185779040256 42135834042368 50694675332224 53627425144832 57936771808256 73737709574144 84271668084736 101389350664448 107254850289664 115873543616512 147475419148288 168543336169472 202778701328896 231747087233024 294950838296576 405557402657792 463494174466048 589901676593152 811114805315584 926988348932096 1179803353186304 1622229610631168 1853976697864192 3244459221262336 6488918442524672 12977836885049344
• Sum of all divisors σ(n): 32721019851744000
• Sum of proper divisors (its aliquot sum) s(n): 19743182966694656
• 12977836885049344 is an abundant number, because the sum of its proper divisors (19743182966694656) is greater than itself. Its abundance is 6765346081645312

Bases of 12977836885049344

• Binary: 101110000110110100011000011101011111001000000000000000₂
• Hexadecimal: 0x2E1B461D7C8000
• Base-36: 3JS9BYJJFGG

Squares and roots of 12977836885049344

• 12977836885049344 squared (12977836885049344²) is 168424250214947259991509314830336
• 12977836885049344 cubed (12977836885049344³) is 2185782446776322455250100730423233093374348099584
• The square root of 12977836885049344 is 113920309.3616293863
• The cube root of 12977836885049344 is 234999.7699412225

Scales and comparisons

• 12,977,836,885,049,344 seconds is equal to 412,655,069 years, 44 weeks, 4 days, 19 hours, 29 minutes, 4 seconds.
• To count from 1 to 12,977,836,885,049,344 would take you about one billion, two hundred thirty-seven million, nine hundred sixty-five thousand, two hundred nine 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 12977836885049344 cubic inches would be around 19583.3 feet tall.

Recreational maths with 12977836885049344

• 12977836885049344 backwards is 44394058863877921
• 12977836885049344 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12977836885049344's digits is 88
• More coming soon!