13677738222084768

Names of 13677738222084768

• Cardinal: 13677738222084768 can be written as Thirteen quadrillion, six hundred seventy-seven trillion, seven hundred thirty-eight billion, two hundred twenty-two million, eighty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3677738222084768 × 10¹⁶

Factors of 13677738222084768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 19767

Divisors of 13677738222084768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 157 183 208 234 244 288 312 314 366 416 468 471 488 549 624 628 732 793 936 942 976 1098 1248 1256 1413 1464 1586 1872 1884 1952 2041 2196 2379 2512 2826 2928 3172 3744 3768 4082 4392 4758 5024 5652 5856 6123 6344 7137 7536 8164 8784 9516 9577 11304 12246 12688 14274 15072 16328 17568 18369 19032 19154 19531 22608 24492 25376 28548 28731 32656 36738 38064 38308 39062 45216 48984 57096 57462 58593 65312 73476 76128 76616 78124 86193 97968 114192 114924 117186 124501 146952 153232 156248 172386 175779 195936 228384 229848 234372 249002 253903 293904 306464 312496 344772 351558 373503 459696 468744 498004 507806 587808 624992 689544 703116 747006 761709 919392 937488 996008 1015612 1120509 1191391 1379088 1406232 1494012 1523418 1874976 1992016 2031224 2241018 2285127 2382782 2758176 2812464 2988024 3046836 3066367 3574173 3984032 4062448 4482036 4570254 4765564 5624928 5976048 6093672 6132734 7148346 8124896 8964072 9140508 9199101 9531128 10722519 11952096 12187344 12265468 14296692 15488083 17928144 18281016 18398202 19062256 21445038 24374688 24530936 27597303 28593384 30976166 35856288 36562032 36796404 38124512 39862771 42890076 46464249 49061872 55194606 57186768 61952332 73124064 73592808 79725542 85780152 92928498 98123744 110389212 114373536 119588313 123904664 139392747 147185616 159451084 171560304 185856996 187048387 220778424 239176626 247809328 278785494 294371232 318902168 343120608 358764939 371713992 374096774 381459961 441556848 478353252 495618656 557570988 561145161 637804336 717529878 743427984 748193548 762919922 883113696 956706504 1115141976 1122290322 1144379883 1275608672 1435059756 1486855968 1496387096 1525839844 1683435483 1913413008 2230283952 2244580644 2288759766 2431629031 2870119512 2992774192 3051679688 3366870966 3433139649 3826826016 4460567904 4489161288 4577519532 4863258062 4958979493 5740239024 5985548384 6103359376 6733741932 6866279298 7294887093 8978322576 9155039064 9726516124 9917958986 11480478048 12206718752 13467483864 13732558596 14589774186 14876938479 17956645152 18310078128 19453032248 19835917972 21884661279 23269057621 26934967728 27465117192 29179548372 29753876958 36620156256 38906064496 39671835944 43769322558 44630815437 46538115242 53869935456 54930234384 58359096744 59507753916 59889213877 69807172863 77812128992 79343671888 87538645116 89261630874 93076230484 109860468768 116718193488 119015507832 119778427754 139614345726 158687343776 175077290232 178523261748 179667641631 186152460968 209421518589 233436386976 238031015664 239556855508 279228691452 302497749073 350154580464 357046523496 359335283262 372304921936 418843037178 476062031328 479113711016 539002924893 558457382904 604995498146 700309160928 714093046992 718670566524 744609843872 778559780401 837686074356 907493247219 958227422032 1078005849786 1116914765808 1209990996292 1428186093984 1437341133048 1557119560802 1675372148712 1814986494438 1916454844064 2156011699572 2233829531616 2335679341203 2419981992584 2722479741657 2874682266096 3114239121604 3350744297424 3629972988876 3653242046497 4312023399144 4671358682406 4839963985168 5444959483314 5749364532192 6228478243208 6701488594848 7007038023609 7259945977752 7306484092994 8624046798288 9342717364812 9679927970336 10889918966628 10959726139491 12456956486416 14014076047218 14519891955504 14612968185988 17248093596576 18685434729624 21779837933256 21919452278982 24913912972832 28028152094436 29039783911008 29225936371976 32879178418473 37370869459248 43559675866512 43838904557964 47492146604461 56056304188872 58451872743952 65758356836946 74741738918496 87119351733024 87677809115928 94984293208922 112112608377744 116903745487904 131516713673892 142476439813383 175355618231856 189968586417844 224225216755488 263033427347784 284952879626766 350711236463712 379937172835688 427429319440149 526066854695568 569905759253532 759874345671376 854858638880298 1052133709391136 1139811518507064 1519748691342752 1709717277760596 2279623037014128 3419434555521192 4559246074028256 6838869111042384 13677738222084768
• Sum of all divisors σ(n): 42848133718565448
• Sum of proper divisors (its aliquot sum) s(n): 29170395496480680
• 13677738222084768 is an abundant number, because the sum of its proper divisors (29170395496480680) is greater than itself. Its abundance is 15492657274395912

Bases of 13677738222084768

• Binary: 110000100101111101010010011000000011101110001010100000₂
• Hexadecimal: 0x3097D4980EE2A0
• Base-36: 3QOCQ70OYW0

Squares and roots of 13677738222084768

• 13677738222084768 squared (13677738222084768²) is 187080522871878590311212177613824
• 13677738222084768 cubed (13677738222084768³) is 2558838418292297445405949081243954114252896632832
• The square root of 13677738222084768 is 116951862.8414475833
• The cube root of 13677738222084768 is 239150.5748748463

Scales and comparisons

• 13,677,738,222,084,768 seconds is equal to 434,909,767 years, 22 weeks, 6 days, 4 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,677,738,222,084,768 would take you about one billion, three hundred four million, seven hundred twenty-nine thousand, three hundred two 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 13677738222084768 cubic inches would be around 19929.2 feet tall.

Recreational maths with 13677738222084768

• 13677738222084768 backwards is 86748022283777631
• The number of decimal digits it has is: 17
• The sum of 13677738222084768's digits is 81
• More coming soon!