13993976414208

Names of 13993976414208

• Cardinal: 13993976414208 can be written as Thirteen trillion, nine hundred ninety-three billion, nine hundred seventy-six million, four hundred fourteen thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.3993976414208 × 10¹³

Factors of 13993976414208

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 110

Divisors of 13993976414208

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 79 84 96 98 112 114 128 133 147 152 158 168 192 196 224 228 237 256 266 294 304 316 336 343 384 392 399 448 456 474 512 532 553 588 608 632 672 686 768 784 798 896 912 931 948 1024 1029 1064 1106 1176 1216 1264 1344 1372 1501 1536 1568 1596 1659 1792 1824 1862 1896 2048 2058 2128 2212 2352 2401 2432 2528 2688 2744 2793 3002 3072 3136 3192 3318 3584 3648 3724 3792 3871 4096 4116 4256 4424 4503 4704 4802 4864 5056 5376 5488 5586 6004 6144 6241 6272 6384 6517 6636 7168 7203 7296 7448 7584 7742 8192 8232 8512 8848 9006 9408 9604 9728 10112 10507 10752 10976 11172 11613 12008 12288 12482 12544 12768 13034 13272 14336 14406 14592 14896 15168 15484 16384 16464 17024 17696 18012 18723 18816 19208 19456 19551 20224 21014 21504 21952 22344 23226 24016 24576 24964 25088 25536 26068 26544 27097 28672 28812 29184 29792 30336 30968 31521 32928 34048 35392 36024 37446 37632 38416 38912 39102 40448 42028 43008 43687 43904 44688 45619 46452 48032 49152 49928 50176 51072 52136 53088 54194 57344 57624 58368 59584 60672 61936 63042 65856 68096 70784 72048 73549 74892 75264 76832 77824 78204 80896 81291 84056 86016 87374 87808 89376 91238 92904 96064 99856 100352 102144 104272 106176 108388 114688 115248 116736 118579 119168 121344 123872 126084 131061 131712 136192 136857 141568 144096 147098 149784 150528 153664 155648 156408 161792 162582 168112 172032 174748 175616 178752 182476 185808 189679 192128 199712 200704 204288 208544 212352 216776 220647 230496 233472 237158 238336 242688 247744 252168 262122 263424 272384 273714 283136 288192 294196 299568 301056 305809 307328 311296 312816 323584 325164 336224 344064 349496 351232 355737 357504 364952 371616 379358 384256 399424 401408 408576 417088 424704 433552 441294 460992 466944 474316 476672 485376 495488 504336 514843 524244 526848 544768 547428 566272 569037 576384 588392 599136 602112 611618 614656 625632 647168 650328 672448 698992 702464 711474 715008 729904 743232 758716 768512 798848 802816 817152 830053 834176 849408 867104 882588 917427 921984 933888 948632 953344 970752 990976 1008672 1029686 1048488 1053696 1089536 1094856 1132544 1138074 1152768 1176784 1198272 1204224 1223236 1229312 1251264 1294336 1300656 1344896 1397984 1404928 1422948 1430016 1459808 1486464 1517432 1537024 1544529 1597696 1634304 1660106 1668352 1698816 1734208 1765176 1834854 1843968 1897264 1906688 1941504 1981952 2017344 2059372 2096976 2107392 2140663 2179072 2189712 2265088 2276148 2305536 2353568 2396544 2408448 2446472 2458624 2490159 2502528 2601312 2689792 2795968 2809856 2845896 2860032 2919616 2972928 3034864 3074048 3089058 3195392 3268608 3320212 3336704 3397632 3468416 3530352 3603901 3669708 3687936 3794528 3813376 3883008 3963904 4034688 4118744 4193952 4214784 4281326 4379424 4530176 4552296 4611072 4707136 4793088 4892944 4917248 4980318 5005056 5202624 5379584 5591936 5619712 5691792 5720064 5810371 5839232 5945856 6069728 6148096 6178116 6390784 6421989 6537216 6640424 6673408 6795264 6936832 7060704 7207802 7339416 7375872 7589056 7626752 7927808 8069376 8237488 8387904 8429568 8562652 8758848 9060352 9104592 9222144 9414272 9586176 9785888 9834496 9960636 10010112 10405248 10759168 10811703 11183872 11383584 11440128 11620742 11678464 11891712 12139456 12296192 12356232 12781568 12843978 13280848 13346816 13590528 13873664 14121408 14415604 14678832 14751744 14984641 15178112 15253504 15855616 16138752 16474976 16775808 16859136 17125304 17431113 17517696 18209184 18444288 18828544 19172352 19571776 19668992 19921272 20020224 20810496 21518336 21623406 22367744 22767168 22880256 23241484 23356928 23783424 24278912 24592384 24712464 25563136 25687956 26561696 26693632 27181056 27747328 28242816 28831208 29357664 29503488 29969282 30356224 31711232 32277504 32949952 33551616 34250608 34862226 35035392 36418368 36888576 37657088 38344704 39143552 39337984 39842544 40040448 40672597 41620992 43036672 43246812 44735488 44953923 45534336 45760512 46482968 46713856 47566848 48557824 49424928 51126272 51375912 53123392 53387264 55494656 56485632 57662416 58715328 59006976 59938564 60712448 63422464 64555008 65899904 67103232 68501216 69724452 70070784 72836736 73777152 75314176 76689408 78287104 79685088 80080896 81345194 83241984 86073344 86493624 89470976 89907846 91068672 92965936 93427712 95133696 97115648 98849856 102252544 102751824 106246784 106774528 110989312 112971264 115324832 117430656 118013952 119877128 121424896 122017791 129110016 131799808 134206464 137002432 139448904 140141568 145673472 150628352 153378816 156574208 159370176 160161792 162690388 166483968 172146688 172987248 178941952 179815692 182137344 185931872 186855424 190267392 194231296 197699712 205503648 212493568 221978624 225942528 230649664 234861312 239754256 242849792 244035582 258220032 263599616 268412928 274004864 278897808 280283136 284708179 291346944 301256704 306757632 313148416 318740352 320323584 325380776 332967936 345974496 357883904 359631384 364274688 371863744 373710848 388462592 395399424 411007296 424987136 443957248 451885056 461299328 469722624 479508512 485699584 488071164 516440064 527199232 536825856 548009728 557795616 560566272 569416358 582693888 602513408 626296832 637480704 650761552 665935872 691948992 715767808 719262768 728549376 743727488 747421696 776925184 790798848 822014592 849974272 854124537 903770112 922598656 939445248 959017024 971399168 976142328 1054398464 1073651712 1096019456 1115591232 1121132544 1138832716 1165387776 1205026816 1252593664 1274961408 1301523104 1331871744 1383897984 1438525536 1457098752 1487454976 1553850368 1581597696 1644029184 1699948544 1708249074 1807540224 1845197312 1878890496 1918034048 1942798336 1952284656 2108796928 2147303424 2192038912 2231182464 2242265088 2277665432 2330775552 2505187328 2549922816 2603046208 2767795968 2877051072 2914197504 2974909952 3107700736 3163195392 3288058368 3399897088 3416498148 3615080448 3690394624 3757780992 3836068096 3904569312 4217593856 4384077824 4462364928 4555330864 4661551104 5010374656 5099845632 5206092416 5535591936 5754102144 5828395008 5949819904 6326390784 6576116736 6799794176 6832996296 7380789248 7515561984 7672136192 7809138624 8435187712 8768155648 8924729856 9110661728 9323102208 10199691264 10412184832 11071183872 11508204288 11899639808 12652781568 13152233472 13599588352 13665992592 14761578496 15031123968 15344272384 15618277248 17536311296 17849459712 18221323456 20399382528 20824369664 22142367744 23016408576 23799279616 25305563136 26304466944 27331985184 29523156992 30688544768 31236554496 35072622592 35698919424 36442646912 40798765056 41648739328 44284735488 46032817152 47598559232 52608933888 54663970368 59046313984 61377089536 62473108992 71397838848 72885293824 83297478656 88569470976 92065634304 95197118464 105217867776 109327940736 122754179072 124946217984 142795677696 145770587648 166594957312 177138941952 184131268608 218655881472 245508358144 249892435968 285591355392 291541175296 333189914624 368262537216 437311762944 499784871936 583082350592 666379829248 736525074432 874623525888 999569743872 1166164701184 1749247051776 1999139487744 2332329402368 3498494103552 4664658804736 6996988207104 13993976414208
• Sum of all divisors σ(n): 46411495984560
• Sum of proper divisors (its aliquot sum) s(n): 32417519570352
• 13993976414208 is an abundant number, because the sum of its proper divisors (32417519570352) is greater than itself. Its abundance is 18423543156144

Bases of 13993976414208

• Binary: 11001011101000111001111111100100000000000000₂
• Hexadecimal: 0xCBA39FE4000
• Base-36: 4YKQS8R9C

Squares and roots of 13993976414208

• 13993976414208 squared (13993976414208²) is 195831375881409793584267264
• 13993976414208 cubed (13993976414208³) is 2740459655246350038670177850953838886912
• The square root of 13993976414208 is 3740852.3646634331
• The cube root of 13993976414208 is 24097.9655509651

Scales and comparisons

• 13,993,976,414,208 seconds is equal to 444,965 years, 8 weeks, 3 days, 14 hours, 36 minutes, 48 seconds.
• To count from 1 to 13,993,976,414,208 would take you about one million, one hundred twelve thousand, four hundred twelve 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 13993976414208 cubic inches would be around 2008.2 feet tall.

Recreational maths with 13993976414208

• 13993976414208 backwards is 80241467939931
• The number of decimal digits it has is: 14
• The sum of 13993976414208's digits is 66
• More coming soon!