13123611986688

Names of 13123611986688

• Cardinal: 13123611986688 can be written as Thirteen trillion, one hundred twenty-three billion, six hundred eleven million, nine hundred eighty-six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3123611986688 × 10¹³

Factors of 13123611986688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 16621

Divisors of 13123611986688

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 112 114 126 128 133 137 144 152 168 171 192 224 228 252 256 266 274 288 304 336 342 361 384 399 411 448 456 504 532 548 576 608 672 684 722 768 798 822 896 912 959 1008 1064 1083 1096 1152 1197 1216 1233 1344 1368 1444 1596 1644 1792 1824 1918 2016 2128 2166 2192 2304 2394 2432 2466 2527 2603 2688 2736 2877 2888 3192 3249 3288 3648 3836 4032 4256 4332 4384 4788 4864 4932 5054 5206 5376 5472 5754 5776 6384 6498 6576 7296 7581 7672 7809 8064 8512 8631 8664 8768 9576 9864 10108 10412 10944 11508 11552 12768 12996 13152 14592 15162 15344 15618 16128 16453 17024 17262 17328 17536 18221 19152 19728 20216 20824 21888 22743 23016 23104 23427 25536 25992 26304 30324 30688 31236 32906 34048 34524 34656 35072 36442 38304 39456 40432 41648 43776 45486 46032 46208 46854 49359 49457 51072 51984 52608 54663 60648 61376 62472 65812 69048 69312 72884 76608 78912 80864 83296 90972 92064 92416 93708 98718 98914 102144 103968 105216 109326 115171 121296 122752 124944 131624 138096 138624 145768 148077 148371 153216 157824 161728 163989 166592 181944 184128 187416 197436 197828 207936 218652 230342 242592 245504 249888 263248 276192 277248 291536 296154 296742 306432 312607 315648 323456 327978 333184 345513 346199 363888 368256 374832 394872 395656 415872 437304 445113 460684 485184 499776 526496 552384 583072 592308 593484 625214 646912 655956 666368 691026 692398 727776 736512 749664 789744 791312 831744 874608 890226 921368 937821 970368 999552 1036539 1038597 1052992 1104768 1166144 1184616 1186968 1250428 1311912 1382052 1384796 1455552 1499328 1579488 1582624 1749216 1780452 1842736 1875642 1940736 1999104 2073078 2077194 2105984 2188249 2209536 2254061 2332288 2369232 2373936 2500856 2623824 2764104 2769592 2813463 2911104 2998656 3115791 3158976 3165248 3498432 3560904 3685472 3751284 4146156 4154388 4211968 4376498 4508122 4664576 4738464 4747872 5001712 5247648 5528208 5539184 5626926 5822208 5939533 5997312 6231582 6317952 6330496 6564747 6762183 6996864 7121808 7370944 7502568 8292312 8308776 8752996 9016244 9476928 9495744 10003424 10495296 11056416 11078368 11253852 11879066 12463164 12635904 12660992 13129494 13524366 13993728 14243616 14741888 15005136 15778427 16584624 16617552 17505992 17818599 18032488 18953856 18991488 19694241 20006848 20286549 20990592 22112832 22156736 22507704 23758132 24926328 26258988 27048732 28487232 29483776 30010272 31556854 33169248 33235104 35011984 35637198 36064976 37907712 37982976 39388482 40013696 40573098 41576731 41981184 42827159 44225664 44313472 45015408 47335281 47516264 49852656 52517976 53455797 54097464 56974464 60020544 63113708 66338496 66470208 70023968 71274396 72129952 78776964 80027392 81146196 83153462 85654318 88451328 88626944 90030816 94670562 95032528 99705312 105035952 106911594 108194928 113948928 120041088 124730193 126227416 128481477 132676992 132940416 140047936 142005843 142548792 144259904 157553928 162292392 166306924 171308636 180061632 189341124 190065056 199410624 210071904 213823188 216389856 240082176 249460386 252454832 256962954 265353984 265880832 280095872 284011686 285097584 288519808 299790113 315107856 324584784 332613848 342617272 360123264 374190579 378682248 380130112 385444431 398821248 420143808 427646376 432779712 498920772 504909664 513925908 560191744 568023372 570195168 577039616 599580226 630215712 649169568 665227696 685234544 720246528 748381158 757364496 760260224 770888862 797642496 813716021 840287616 855292752 865559424 899370339 997841544 1009819328 1027851816 1136046744 1140390336 1199160452 1260431424 1298339136 1330455392 1370469088 1496762316 1514728992 1520520448 1541777724 1627432042 1680575232 1710585504 1731118848 1798740678 1995683088 2019638656 2055703632 2272093488 2280780672 2398320904 2441148063 2520862848 2596678272 2660910784 2698111017 2740938176 2993524632 3029457984 3083555448 3254864084 3421171008 3597481356 3991366176 4039277312 4111407264 4544186976 4561561344 4796641808 4882296126 5041725696 5193356544 5321821568 5396222034 5481876352 5696012147 5987049264 6058915968 6167110896 6509728168 6842342016 7194962712 7323444189 7982732352 8222814528 9088373952 9593283616 9764592252 10643643136 10792444068 10963752704 11392024294 11974098528 12117831936 12334221792 13019456336 13684684032 14389925424 14646888378 15965464704 16445629056 17088036441 18176747904 19186567232 19529184504 21584888136 22784048588 23948197056 24668443584 26038912672 28779850848 29293776756 31930929408 32891258112 34176072882 36353495808 38373134464 39058369008 43169776272 45568097176 47896394112 49336887168 51264109323 52077825344 57559701696 58587553512 68352145764 76746268928 78116738016 86339552544 91136194352 95792788224 98673774336 102528218646 104155650688 115119403392 117175107024 136704291528 156233476032 172679105088 182272388704 205056437292 208311301376 230238806784 234350214048 273408583056 312466952064 345358210176 364544777408 410112874584 468700428096 546817166112 624933904128 690716420352 729089554816 820225749168 937400856192 1093634332224 1458179109632 1640451498336 1874801712384 2187268664448 3280902996672 4374537328896 6561805993344 13123611986688
• Sum of all divisors σ(n): 45975852887328
• Sum of proper divisors (its aliquot sum) s(n): 32852240900640
• 13123611986688 is an abundant number, because the sum of its proper divisors (32852240900640) is greater than itself. Its abundance is 19728628913952

Bases of 13123611986688

• Binary: 10111110111110010100001110110000101100000000₂
• Hexadecimal: 0xBEF943B0B00
• Base-36: 4NGWJQGW0

Squares and roots of 13123611986688

• 13123611986688 squared (13123611986688²) is 172229191577140954289209344
• 13123611986688 cubed (13123611986688³) is 2260269083039350955126418833932573212672
• The square root of 13123611986688 is 3622652.6174459511
• The cube root of 13123611986688 is 23587.6383520091

Scales and comparisons

• 13,123,611,986,688 seconds is equal to 417,290 years, 13 weeks, 6 days, 6 hours, 4 minutes, 48 seconds.
• To count from 1 to 13,123,611,986,688 would take you about one million, forty-three thousand, two hundred twenty-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 13123611986688 cubic inches would be around 1965.6 feet tall.

Recreational maths with 13123611986688

• 13123611986688 backwards is 88668911632131
• 13123611986688 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13123611986688's digits is 63
• More coming soon!