13186978086912

Names of 13186978086912

• Cardinal: 13186978086912 can be written as Thirteen trillion, one hundred eighty-six billion, nine hundred seventy-eight million, eighty-six thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 1.3186978086912 × 10¹³

Factors of 13186978086912

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 401

Divisors of 13186978086912

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 59 64 69 84 92 96 112 118 128 138 161 168 177 184 192 224 236 256 276 307 322 336 354 368 384 413 448 472 483 512 529 552 614 644 672 708 736 768 826 896 921 944 966 1024 1058 1104 1228 1239 1288 1344 1357 1416 1472 1536 1587 1652 1792 1842 1888 1932 2048 2116 2149 2208 2456 2478 2576 2688 2714 2832 2944 3072 3174 3304 3584 3684 3703 3776 3864 4071 4096 4232 4298 4416 4912 4956 5152 5376 5428 5664 5888 6144 6348 6447 6608 7061 7168 7368 7406 7552 7728 8142 8192 8464 8596 8832 9499 9824 9912 10304 10752 10856 11109 11328 11776 12288 12696 12894 13216 14122 14336 14736 14812 15104 15456 16284 16384 16928 17192 17664 18113 18998 19648 19824 20608 21183 21504 21712 22218 22656 23552 24576 25392 25788 26432 28244 28497 28672 29472 29624 30208 30912 31211 32568 32768 33856 34384 35328 36226 37996 39296 39648 41216 42366 43008 43424 44436 45312 47104 49152 49427 50784 51576 52864 54339 56488 56994 57344 58944 59248 60416 61824 62422 65136 65536 67712 68768 70656 72452 75992 78592 79296 82432 84732 86016 86848 88872 90624 93633 94208 98304 98854 101568 103152 105728 108678 112976 113988 114688 117888 118496 120832 123648 124844 126791 130272 135424 137536 141312 144904 148281 151984 157184 158592 162403 164864 169464 172032 173696 177744 181248 187266 188416 196608 197708 203136 206304 211456 217356 218477 225952 227976 229376 235776 236992 241664 247296 249688 253582 260544 270848 275072 282624 289808 296562 303968 314368 317184 324806 329728 338928 344064 347392 355488 362496 374532 376832 380373 395416 406272 412608 416599 422912 434712 436954 451904 455952 458752 471552 473984 483328 487209 494592 499376 507164 521088 541696 550144 565248 579616 593124 607936 628736 634368 649612 655431 659456 677856 688128 694784 710976 724992 749064 753664 760746 790832 812544 825216 833198 845824 869424 873908 903808 911904 943104 947968 966656 974418 989184 998752 1014328 1042176 1083392 1100288 1130496 1136821 1159232 1186248 1215872 1249797 1257472 1268736 1299224 1310862 1318912 1355712 1376256 1389568 1421952 1449984 1498128 1507328 1521492 1581664 1625088 1650432 1666396 1691648 1738848 1747816 1807616 1823808 1886208 1895936 1933312 1948836 1978368 1997504 2028656 2084352 2166784 2200576 2260992 2273642 2318464 2372496 2431744 2499594 2514944 2537472 2598448 2621724 2637824 2711424 2779136 2843904 2899968 2916193 2996256 3042984 3163328 3250176 3300864 3332792 3383296 3410463 3477696 3495632 3615232 3647616 3772416 3791872 3866624 3897672 3956736 3995008 4057312 4168704 4333568 4401152 4521984 4547284 4636928 4744992 4863488 4999188 5029888 5074944 5196896 5243448 5275648 5422848 5558272 5687808 5799936 5832386 5992512 6085968 6326656 6500352 6601728 6665584 6766592 6820926 6955392 6991264 7230464 7295232 7544832 7583744 7795344 7913472 7990016 8114624 8337408 8667136 8748579 8802304 9094568 9273856 9489984 9581777 9726976 9998376 10059776 10149888 10393792 10486896 10551296 10845696 11116544 11375616 11599872 11664772 11985024 12171936 12653312 13000704 13203456 13331168 13533184 13641852 13910784 13982528 14460928 14590464 15089664 15167488 15590688 15826944 15980032 16229248 16674816 17334272 17497158 17604608 18189136 18547712 18979968 19163554 19453952 19996752 20119552 20299776 20787584 20973792 21691392 22233088 22751232 23329544 23970048 24343872 25306624 26001408 26406912 26662336 27066368 27283704 27821568 27965056 28745331 28921856 29180928 30179328 30334976 31181376 31653888 31960064 32458496 33349632 34668544 34994316 35209216 36378272 37095424 37959936 38327108 38907904 39993504 40599552 41575168 41947584 43382784 44466176 45502464 46659088 47940096 48687744 50613248 52002816 52813824 53324672 54567408 55643136 55930112 57490662 57843712 58361856 60358656 60669952 62362752 63920128 64916992 66699264 67072439 69988632 70418432 72756544 74190848 75919872 76654216 77815808 79987008 81199104 83150336 83895168 86765568 88932352 91004928 93318176 95880192 97375488 101226496 104005632 105627648 106649344 109134816 111286272 111860224 114981324 115687424 116723712 121339904 124725504 127840256 129833984 133398528 134144878 139977264 140836864 145513088 148381696 151839744 153308432 155631616 159974016 166300672 167790336 173531136 182009856 186636352 191760384 194750976 201217317 202452992 211255296 213298688 218269632 222572544 223720448 229962648 231374848 233447424 242679808 249451008 255680512 259667968 266797056 268289756 279954528 291026176 296763392 303679488 306616864 311263232 319948032 332601344 335580672 347062272 364019712 373272704 383520768 389501952 402434634 404905984 422510592 426597376 436539264 445145088 447440896 459925296 462749696 466894848 498902016 511361024 519335936 536579512 559909056 582052352 593526784 607358976 613233728 622526464 639896064 665202688 671161344 694124544 728039424 746545408 767041536 779003904 804869268 809811968 853194752 873078528 890290176 894881792 919850592 933789696 997804032 1022722048 1038671872 1073159024 1119818112 1164104704 1187053568 1214717952 1226467456 1279792128 1330405376 1342322688 1388249088 1493090816 1534083072 1558007808 1609738536 1619623936 1706389504 1746157056 1780580352 1789763584 1839701184 1867579392 1995608064 2045444096 2077343744 2146318048 2239636224 2328209408 2429435904 2452934912 2559584256 2660810752 2684645376 2986181632 3068166144 3116015616 3219477072 3239247872 3412779008 3492314112 3561160704 3579527168 3679402368 3991216128 4154687488 4292636096 4479272448 4656418816 4858871808 4905869824 5119168512 5321621504 5369290752 5972363264 6136332288 6232031232 6438954144 6825558016 6984628224 7159054336 7358804736 7982432256 8309374976 8585272192 8958544896 9312837632 9717743616 9811739648 10238337024 10643243008 10738581504 11944726528 12464062464 12877908288 13651116032 13969256448 14318108672 14717609472 15964864512 17170544384 17917089792 18625675264 19623479296 20476674048 21477163008 23889453056 24928124928 25755816576 27302232064 27938512896 29435218944 31929729024 34341088768 35834179584 37251350528 39246958592 40953348096 42954326016 47778906112 51511633152 55877025792 58870437888 68682177536 71668359168 74502701056 78493917184 81906696192 95557812224 103023266304 111754051584 117740875776 137364355072 143336718336 156987834368 191115624448 206046532608 223508103168 235481751552 274728710144 286673436672 313975668736 412093065216 470963503104 549457420288 573346873344 627951337472 824186130432 941927006208 1098914840576 1648372260864 1883854012416 2197829681152 3296744521728 4395659362304 6593489043456 13186978086912
• Sum of all divisors σ(n): 42863111047680
• Sum of proper divisors (its aliquot sum) s(n): 29676132960768
• 13186978086912 is an abundant number, because the sum of its proper divisors (29676132960768) is greater than itself. Its abundance is 16489154873856

Bases of 13186978086912

• Binary: 10111111111001010101001001010000000000000000₂
• Hexadecimal: 0xBFE55250000
• Base-36: 4OA0I9WQO

Squares and roots of 13186978086912

• 13186978086912 squared (13186978086912²) is 173896391064697271425695744
• 13186978086912 cubed (13186978086912³) is 2293167898363242635165647664971700502528
• The square root of 13186978086912 is 3631387.9009150207
• The cube root of 13186978086912 is 23625.5409631583

Scales and comparisons

• 13,186,978,086,912 seconds is equal to 419,305 years, 5 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
• To count from 1 to 13,186,978,086,912 would take you about one million, forty-eight thousand, two hundred sixty-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 13186978086912 cubic inches would be around 1968.8 feet tall.

Recreational maths with 13186978086912

• 13186978086912 backwards is 21968087968131
• 13186978086912 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13186978086912's digits is 69
• More coming soon!