13986205728768

Names of 13986205728768

• Cardinal: 13986205728768 can be written as Thirteen trillion, nine hundred eighty-six billion, two hundred five million, seven hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3986205728768 × 10¹³

Factors of 13986205728768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 3242

Divisors of 13986205728768

• Number of divisors d(n): 952
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 182 189 192 208 216 224 234 243 252 256 273 288 312 324 336 351 364 378 384 416 432 448 468 486 504 512 546 567 576 624 648 672 702 728 729 756 768 819 832 864 896 936 972 1008 1024 1053 1092 1134 1152 1248 1296 1344 1404 1456 1458 1512 1536 1638 1664 1701 1728 1792 1872 1944 2016 2048 2106 2184 2268 2304 2457 2496 2592 2688 2808 2912 2916 3024 3072 3159 3217 3276 3328 3402 3456 3584 3744 3888 4032 4096 4212 4368 4536 4608 4914 4992 5103 5184 5376 5616 5824 5832 6048 6144 6318 6434 6552 6656 6804 6912 7168 7371 7488 7776 8064 8192 8424 8736 9072 9216 9477 9651 9828 9984 10206 10368 10752 11232 11648 11664 12096 12288 12636 12868 13104 13312 13608 13824 14336 14742 14976 15552 16128 16384 16848 17472 18144 18432 18954 19302 19656 19968 20412 20736 21504 22113 22464 22519 23296 23328 24192 24576 25272 25736 26208 26624 27216 27648 28672 28953 29484 29952 31104 32256 32768 33696 34944 36288 36864 37908 38604 39312 39936 40824 41472 41821 43008 44226 44928 45038 46592 46656 48384 49152 50544 51472 52416 53248 54432 55296 57344 57906 58968 59904 62208 64512 65536 66339 67392 67557 69888 72576 73728 75816 77208 78624 79872 81648 82944 83642 86016 86859 88452 89856 90076 93184 93312 96768 98304 101088 102944 104832 106496 108864 110592 114688 115812 117936 119808 124416 125463 129024 132678 134784 135114 139776 145152 147456 151632 154416 157248 159744 163296 165888 167284 172032 173718 176904 179712 180152 186368 186624 193536 196608 202176 202671 205888 209664 212992 217728 221184 229376 231624 235872 239616 248832 250926 258048 260577 265356 269568 270228 279552 290304 292747 294912 303264 308832 314496 319488 326592 331776 334568 344064 347436 353808 359424 360304 372736 373248 376389 387072 404352 405342 411776 419328 425984 435456 442368 458752 463248 471744 479232 497664 501852 516096 521154 530712 539136 540456 559104 580608 585494 589824 606528 608013 617664 628992 638976 653184 663552 669136 688128 694872 707616 718848 720608 745472 746496 752778 774144 781731 808704 810684 823552 838656 851968 870912 878241 884736 926496 943488 958464 995328 1003704 1032192 1042308 1061424 1078272 1080912 1118208 1129167 1161216 1170988 1213056 1216026 1235328 1257984 1277952 1306368 1327104 1338272 1376256 1389744 1415232 1437696 1441216 1490944 1492992 1505556 1548288 1563462 1617408 1621368 1647104 1677312 1741824 1756482 1769472 1824039 1852992 1886976 1916928 1990656 2007408 2064384 2084616 2122848 2156544 2161824 2236416 2258334 2322432 2341976 2345193 2426112 2432052 2470656 2515968 2555904 2612736 2634723 2654208 2676544 2779488 2830464 2875392 2882432 2981888 2985984 3011112 3096576 3126924 3234816 3242736 3294208 3354624 3387501 3483648 3512964 3648078 3705984 3773952 3833856 3981312 4014816 4128768 4169232 4245696 4313088 4323648 4472832 4516668 4644864 4683952 4690386 4852224 4864104 4941312 5031936 5225472 5269446 5308416 5353088 5472117 5558976 5660928 5750784 5764864 5963776 5971968 6022224 6193152 6253848 6469632 6485472 6588416 6709248 6775002 6967296 7025928 7296156 7411968 7547904 7667712 7904169 7962624 8029632 8338464 8491392 8626176 8647296 8945664 9033336 9289728 9367904 9380772 9704448 9728208 9882624 10063872 10162503 10450944 10538892 10706176 10944234 11117952 11321856 11501568 11529728 11943936 12044448 12386304 12507696 12939264 12970944 13176832 13418496 13550004 13934592 14051856 14592312 14823936 15095808 15808338 15925248 16059264 16416351 16676928 16982784 17252352 17294592 17891328 18066672 18579456 18735808 18761544 19408896 19456416 19765248 20127744 20325006 20901888 21077784 21412352 21888468 22235904 22643712 23003136 23059456 23712507 23887872 24088896 25015392 25878528 25941888 26353664 26836992 27100008 27869184 28103712 29184624 29647872 30191616 30487509 31616676 32118528 32832702 33353856 33965568 34504704 34589184 36133344 37158912 37471616 37523088 38817792 38912832 39530496 40255488 40650012 41803776 42155568 42824704 43776936 44471808 45287424 46118912 47425014 47775744 48177792 50030784 51757056 51883776 52707328 53673984 54200016 55738368 56207424 58369248 59295744 60383232 60975018 63233352 64237056 65665404 66707712 67931136 69009408 69178368 71137521 72266688 74943232 75046176 77635584 77825664 79060992 80510976 81300024 83607552 84311136 85649408 87553872 88943616 90574848 92237824 94850028 96355584 100061568 103514112 103767552 105414656 108400032 111476736 112414848 116738496 118591488 120766464 121950036 126466704 128474112 131330808 133415424 135862272 138356736 142275042 144533376 149886464 150092352 155271168 155651328 158121984 161021952 162600048 167215104 168622272 171298816 175107744 177887232 181149696 184475648 189700056 192711168 200123136 207028224 207535104 210829312 213412563 216800064 224829696 233476992 237182976 241532928 243900072 252933408 256948224 262661616 266830848 271724544 276713472 284550084 289066752 299772928 300184704 310542336 311302656 316243968 325200096 334430208 337244544 342597632 350215488 355774464 362299392 368951296 379400112 385422336 400246272 415070208 426825126 433600128 449659392 466953984 474365952 483065856 487800144 505866816 513896448 525323232 533661696 543449088 553426944 569100168 578133504 599545856 600369408 621084672 622605312 632487936 650400192 674489088 685195264 700430976 711548928 724598784 737902592 758800224 770844672 800492544 830140416 853650252 867200256 899318784 933907968 948731904 975600288 1011733632 1027792896 1050646464 1067323392 1086898176 1106853888 1138200336 1156267008 1199091712 1200738816 1245210624 1300800384 1348978176 1370390528 1400861952 1423097856 1449197568 1475805184 1517600448 1541689344 1600985088 1660280832 1707300504 1734400512 1798637568 1867815936 1897463808 1951200576 2023467264 2055585792 2101292928 2134646784 2173796352 2213707776 2276400672 2312534016 2398183424 2401477632 2490421248 2601600768 2697956352 2740781056 2801723904 2846195712 3035200896 3083378688 3201970176 3320561664 3414601008 3468801024 3597275136 3735631872 3902401152 4046934528 4111171584 4202585856 4269293568 4347592704 4427415552 4552801344 4625068032 4796366848 4802955264 4980842496 5203201536 5395912704 5603447808 5692391424 6070401792 6166757376 6403940352 6641123328 6829202016 6937602048 7194550272 7471263744 7804802304 8093869056 8222343168 8405171712 8538587136 9105602688 9250136064 9592733696 9605910528 9961684992 10406403072 10791825408 11206895616 12140803584 12333514752 12807880704 13282246656 13658404032 13875204096 14389100544 14942527488 15609604608 16187738112 16810343424 17077174272 18211205376 18500272128 19185467392 19211821056 19923369984 20812806144 21583650816 22413791232 24281607168 24667029504 25615761408 27316808064 27750408192 28778201088 29885054976 31219209216 32375476224 33620686848 36422410752 37000544256 38423642112 39846739968 41625612288 43167301632 44827582464 48563214336 51231522816 54633616128 55500816384 57556402176 59770109952 62438418432 64750952448 67241373696 72844821504 74001088512 76847284224 83251224576 86334603264 89655164928 97126428672 109267232256 111001632768 119540219904 124876836864 129501904896 134482747392 145689643008 153694568448 166502449152 172669206528 179310329856 194252857344 218534464512 222003265536 249753673728 259003809792 268965494784 291379286016 333004898304 358620659712 388505714688 437068929024 499507347456 518007619584 537930989568 582758572032 666009796608 777011429376 874137858048 999014694912 1075861979136 1165517144064 1554022858752 1748275716096 1998029389824 2331034288128 3496551432192 4662068576256 6993102864384 13986205728768
• Sum of all divisors σ(n): 51633413490848
• Sum of proper divisors (its aliquot sum) s(n): 37647207762080
• 13986205728768 is an abundant number, because the sum of its proper divisors (37647207762080) is greater than itself. Its abundance is 23661002033312

Bases of 13986205728768

• Binary: 11001011100001101010110100110000000000000000₂
• Hexadecimal: 0xCB86AD30000
• Base-36: 4YH69S000

Squares and roots of 13986205728768

• 13986205728768 squared (13986205728768²) is 195613950687422821982797824
• 13986205728768 cubed (13986205728768³) is 2735896957731374124501671970777524600832
• The square root of 13986205728768 is 3739813.5954573993
• The cube root of 13986205728768 is 24093.5042890659

Scales and comparisons

• 13,986,205,728,768 seconds is equal to 444,718 years, 4 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,986,205,728,768 would take you about one million, one hundred eleven thousand, seven hundred ninety-five 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 13986205728768 cubic inches would be around 2007.8 feet tall.

Recreational maths with 13986205728768

• 13986205728768 backwards is 86782750268931
• 13986205728768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13986205728768's digits is 72
• More coming soon!