13146977045090135

Names of 13146977045090135

• Cardinal: 13146977045090135 can be written as Thirteen quadrillion, one hundred forty-six trillion, nine hundred seventy-seven billion, forty-five million, ninety thousand, one hundred thirty-five.

Scientific notation

• Scientific notation: 1.3146977045090135 × 10¹⁶

Factors of 13146977045090135

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 103

Divisors of 13146977045090135

• Number of divisors d(n): 400
• Complete list of divisors:
  1 5 13 17 31 37 65 85 155 169 185 221 289 403 481 527 629 845 961 1105 1147 1445 2015 2197 2405 2635 2873 3145 3757 4805 4913 5239 5735 6253 6851 8177 8959 10693 10985 12493 14365 14911 16337 18785 19499 24565 26195 28561 29791 31265 34255 35557 37349 40885 44795 48841 53465 62465 63869 68107 74555 81289 81685 83521 89063 97495 106301 116467 139009 142805 148955 152303 162409 177785 181781 186745 193843 212381 244205 253487 277729 319345 331483 340535 387283 406445 417605 445315 462241 485537 506447 531505 582335 604469 634933 695045 761515 812045 830297 885391 908905 969215 1056757 1061905 1085773 1102267 1157819 1267435 1381913 1388645 1514071 1657415 1807117 1936415 1979939 2111317 2311205 2363153 2427685 2519959 2532235 2589151 2760953 3022345 3090277 3174665 3295331 3610477 4151485 4309279 4426955 4721393 5034679 5283785 5428865 5511335 5635211 5789095 6009133 6583811 6909565 7570355 7858097 8254129 8609599 9035585 9899695 10275973 10556585 10793861 11815765 12599795 12945755 13804765 14115049 14329471 15051647 15451385 16476655 17964869 18052385 18738539 19682923 21546395 23492521 23606965 25173395 25739207 27447121 28176055 30045665 30720989 32759467 32919055 33658963 35892389 39290485 40173601 41270645 42839303 43047995 46936201 51379865 53969305 56020627 61378109 65450827 70575245 71647355 73257743 75258235 78118729 80263681 85589543 89824345 93692695 95798587 98414615 102155261 111924787 117462605 128696035 133587649 137235605 140320193 146363183 153604945 163797335 168294815 174691541 179461945 183495637 186283123 200868005 214196515 234681005 243601007 255877999 280103135 305402773 306890545 318555163 327254135 334609691 366288715 390593645 399372857 401318405 427947715 437566519 466601057 478992935 510776305 522256813 556910939 559623935 610170613 667938245 701600965 728268151 731815915 797915417 850860751 873457705 917478185 931415615 952350659 1015543477 1043427853 1112664059 1218005035 1245381631 1279389995 1328018393 1455022231 1527013865 1592775815 1673048455 1736639437 1902721379 1996864285 2187832595 2270990033 2333005285 2385443281 2421680599 2488174111 2611284065 2784554695 2969756197 3050853065 3166813091 3641340755 3989577085 4141217119 4254303755 4349925983 4761753295 5077717385 5191847141 5217139265 5415437771 5563320295 5688364747 6226908155 6640091965 6789338569 7275111155 7932217969 8683197185 9467485963 9513606895 10372900421 11354950165 11927216405 12108402995 12380558567 12440870555 13564562089 14464632767 14848780985 15834065455 16189961203 17264239109 18915289003 20706085595 21749629915 22576312681 24735377927 25959235705 27077188855 28441823735 29522870429 31481847787 32346263443 33946692845 38606830561 39661089845 41168570183 47337429815 51864502105 53835822547 61902792835 67822810445 70400691023 72323163835 73948741711 80949806015 86321195545 88261401397 92062442107 94576445015 112881563405 123676889635 134847705473 147614352145 157409238935 160947261371 161731317215 176339307157 193034152805 205842850915 210469495639 245898757039 269179112735 293492064853 321559913051 352003455115 369743708555 383797315577 420501424759 441307006985 460312210535 501888797293 535191412379 674238527365 699865693111 804736306855 881696535785 915208983299 1052347478195 1196811747391 1229493785195 1467460324265 1607799565255 1918986577885 2102507123795 2292410993041 2509443986465 2675957061895 2736103443307 3499328465555 4180278869663 4576044916495 4989365102501 5466518521867 5984058736955 6524554364809 9098254010443 11462054965205 11897716782887 13680517216535 15558552716083 20901394348315 24946825512505 27332592609335 32622771824045 45491270052215 59488583914435 71064740784271 77792763580415 84819206742517 154670318177531 202261185309079 355323703921355 424096033712585 773351590887655 1011305926545395 2629395409018027 13146977045090135
• Sum of all divisors σ(n): 19271634994989312
• Sum of proper divisors (its aliquot sum) s(n): 6124657949899177
• 13146977045090135 is a deficient number, because the sum of its proper divisors (6124657949899177) is less than itself. Its deficiency is 7022319095190958

Bases of 13146977045090135

• Binary: 101110101101010001101100100000101001001000111101010111₂
• Hexadecimal: 0x2EB51B20A48F57
• Base-36: 3LG7PVJRAZB

Squares and roots of 13146977045090135

• 13146977045090135 squared (13146977045090135²) is 172843005424126937576910274318225
• 13146977045090135 cubed (13146977045090135³) is 2272363024715386541783690980004851907720798210375
• The square root of 13146977045090135 is 114660267.9444372091
• The cube root of 13146977045090135 is 236016.2839781845

Scales and comparisons

• 13,146,977,045,090,135 seconds is equal to 418,033,203 years, 39 weeks, 5 days, 35 minutes, 35 seconds.
• To count from 1 to 13,146,977,045,090,135 would take you about one billion, two hundred fifty-four million, ninety-nine thousand, six hundred eleven 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 13146977045090135 cubic inches would be around 19668 feet tall.

Recreational maths with 13146977045090135

• 13146977045090135 backwards is 53109054077964131
• 13146977045090135 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13146977045090135's digits is 65
• More coming soon!