13677658944768

Names of 13677658944768

• Cardinal: 13677658944768 can be written as Thirteen trillion, six hundred seventy-seven billion, six hundred fifty-eight million, nine hundred forty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3677658944768 × 10¹³

Factors of 13677658944768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7355

Divisors of 13677658944768

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 128 144 147 156 168 182 192 196 208 224 234 252 256 273 288 294 312 336 364 384 392 416 441 448 468 504 546 576 588 624 637 672 728 768 784 819 832 882 896 936 1008 1092 1152 1176 1248 1274 1344 1456 1568 1637 1638 1664 1764 1792 1872 1911 2016 2184 2304 2352 2496 2548 2688 2912 3136 3274 3276 3328 3528 3744 3822 4032 4368 4704 4911 4992 5096 5376 5693 5733 5824 6272 6548 6552 7056 7488 7644 8064 8736 9408 9822 9984 10192 11386 11459 11466 11648 12544 13096 13104 14112 14733 14976 15288 16128 17079 17472 18816 19644 20384 21281 22772 22918 22932 23296 26192 26208 28224 29466 29952 30576 34158 34377 34944 37632 39288 39851 40768 42562 45544 45836 45864 51237 52384 52416 56448 58932 61152 63843 68316 68754 69888 74009 78576 79702 80213 81536 85124 91088 91672 91728 102474 103131 104768 104832 112896 117864 119553 122304 127686 136632 137508 148018 148967 157152 159404 160426 163072 170248 182176 183344 183456 191529 204948 206262 209536 209664 222027 235728 239106 240639 244608 255372 273264 275016 278957 296036 297934 314304 318808 320852 340496 358659 364352 366688 366912 383058 409896 412524 419072 444054 446901 471456 478212 481278 489216 510744 518063 546528 550032 557914 592072 595868 628608 637616 641704 666081 680992 717318 721917 728704 733376 733824 766116 819792 825048 836871 888108 893802 942912 956424 962556 1021488 1036126 1042769 1093056 1100064 1115828 1184144 1191736 1257216 1275232 1283408 1332162 1340703 1361984 1434636 1443834 1457408 1466752 1467648 1532232 1554189 1639584 1650096 1673742 1776216 1787604 1885824 1912848 1925112 2042976 2072252 2085538 2186112 2200128 2231656 2368288 2383472 2510613 2550464 2566816 2664324 2681406 2723968 2869272 2887668 2933504 3064464 3108378 3128307 3279168 3300192 3347484 3552432 3575208 3626441 3771648 3825696 3850224 4085952 4144504 4171076 4372224 4400256 4463312 4662567 4736576 4766944 5021226 5100928 5133632 5328648 5362812 5447936 5738544 5775336 6128928 6216756 6256614 6558336 6600384 6694968 7104864 7150416 7252882 7651392 7700448 8171904 8289008 8342152 8800512 8926624 9319441 9325134 9384921 9473152 9533888 10042452 10201856 10267264 10657296 10725624 10879323 11477088 11550672 12257856 12433512 12513228 13116672 13200768 13389936 14209728 14300832 14505764 15302784 15400896 16343808 16578016 16684304 17853248 18638882 18650268 18769842 18946304 19067776 20084904 20534528 21314592 21451248 21758646 22954176 23101344 24515712 24867024 25026456 26401536 26779872 27958323 28419456 28601664 29011528 30605568 30801792 32637969 33156032 33368608 35706496 37277764 37300536 37539684 38135552 40169808 42629184 42902496 43517292 45908352 46202688 49031424 49734048 50052912 53559744 55916646 56838912 57203328 58023056 61603584 65236087 65275938 66312064 66737216 71412992 74555528 74601072 75079368 80339616 83874969 85258368 85804992 87034584 91816704 92405376 99468096 100105824 107119488 111833292 114406656 116046112 121152733 130472174 130551876 132624128 133474432 149111056 149202144 150158736 160679232 167749938 170516736 171609984 174069168 184810752 195708261 198936192 200211648 214238976 223666584 232092224 242305466 260944348 261103752 266948864 298222112 298404288 300317472 321358464 335499876 343219968 348138336 363458199 391416522 397872384 400423296 447333168 456652609 464184448 484610932 521888696 522207504 587124783 596444224 596808576 600634944 642716928 670999752 696276672 726916398 782833044 800846592 848069131 894666336 913305218 928368896 969221864 1043777392 1044415008 1090374597 1174249566 1192888448 1193617152 1201269888 1341999504 1369957827 1392553344 1453832796 1565666088 1696138262 1789332672 1826610436 1938443728 2087554784 2088830016 2180749194 2348499132 2385776896 2402539776 2544207393 2683999008 2739915654 2785106688 2907665592 3131332176 3392276524 3578665344 3653220872 3876887456 4109873481 4175109568 4177660032 4361498388 4696998264 5088414786 5367998016 5479831308 5815331184 5936483917 6262664352 6784553048 7157330688 7306441744 7632622179 7753774912 8219746962 8350219136 8355320064 8722996776 9393996528 10176829572 10735996032 10959662616 11630662368 11872967834 12525328704 13569106096 14612883488 15265244358 15507549824 16439493924 16700438272 17445993552 17809451751 18787993056 20353659144 21471992064 21919325232 23261324736 23745935668 25050657408 27138212192 29225766976 30530488716 31015099648 32878987848 34891987104 35618903502 37575986112 40707318288 43838650464 46522649472 47491871336 50101314816 53428355253 54276424384 58451533952 61060977432 65757975696 69783974208 71237807004 75151972224 81414636576 87677300928 93045298944 94983742672 106856710506 108552848768 116903067904 122121954864 131515951392 139567948416 142475614008 150303944448 162829273152 175354601856 189967485344 213713421012 217105697536 244243909728 263031902784 279135896832 284951228016 325658546304 350709203712 379934970688 427426842024 488487819456 526063805568 569902456032 651317092608 759869941376 854853684048 976975638912 1052127611136 1139804912064 1519739882752 1709707368096 1953951277824 2279609824128 3419414736192 4559219648256 6838829472384 13677658944768
• Sum of all divisors σ(n): 49442281624008
• Sum of proper divisors (its aliquot sum) s(n): 35764622679240
• 13677658944768 is an abundant number, because the sum of its proper divisors (35764622679240) is greater than itself. Its abundance is 22086963734472

Bases of 13677658944768

• Binary: 11000111000010010100000000001011010100000000₂
• Hexadecimal: 0xC709400B500
• Base-36: 4UJFGZLS0

Squares and roots of 13677658944768

• 13677658944768 squared (13677658944768²) is 187078354209392079274573824
• 13677658944768 cubed (13677658944768³) is 2558793924824567797925444812504754552832
• The square root of 13677658944768 is 3698331.9138184447
• The cube root of 13677658944768 is 23915.0112828363

Scales and comparisons

• 13,677,658,944,768 seconds is equal to 434,907 years, 12 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,677,658,944,768 would take you about one million, eighty-seven thousand, two hundred sixty-eight 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 13677658944768 cubic inches would be around 1992.9 feet tall.

Recreational maths with 13677658944768

• 13677658944768 backwards is 86744985677631
• The number of decimal digits it has is: 14
• The sum of 13677658944768's digits is 81
• More coming soon!