13723143206076416

Names of 13723143206076416

• Cardinal: 13723143206076416 can be written as Thirteen quadrillion, seven hundred twenty-three trillion, one hundred forty-three billion, two hundred six million, seventy-six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.3723143206076416 × 10¹⁶

Factors of 13723143206076416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 32

Divisors of 13723143206076416

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 343 368 392 448 512 529 644 686 736 784 896 1024 1058 1127 1288 1372 1472 1568 1792 2048 2116 2254 2401 2576 2744 2944 3136 3584 3703 4096 4232 4508 4802 5152 5488 5888 6272 7168 7406 7889 8192 8464 9016 9604 10304 10976 11776 12167 12544 14336 14812 15778 16384 16807 16928 18032 19208 20608 21952 23552 24334 25088 25921 28672 29624 31556 32768 33614 33856 36064 38416 41216 43904 47104 48668 50176 51842 55223 57344 59248 63112 65536 67228 67712 72128 76832 82432 85169 87808 94208 97336 100352 103684 110446 114688 118496 126224 131072 134456 135424 144256 153664 164864 170338 175616 181447 188416 194672 200704 207368 220892 229376 236992 252448 262144 268912 270848 288512 307328 329728 340676 351232 362894 376832 386561 389344 401408 414736 441784 458752 473984 504896 524288 537824 541696 577024 596183 614656 659456 681352 702464 725788 753664 773122 778688 802816 829472 883568 917504 947968 1009792 1048576 1075648 1083392 1154048 1192366 1229312 1270129 1318912 1362704 1404928 1451576 1507328 1546244 1557376 1605632 1658944 1767136 1835008 1895936 2019584 2097152 2151296 2166784 2308096 2384732 2458624 2540258 2637824 2725408 2809856 2903152 3014656 3092488 3114752 3211264 3317888 3534272 3670016 3791872 4039168 4173281 4194304 4302592 4333568 4616192 4769464 4917248 5080516 5275648 5450816 5619712 5806304 6029312 6184976 6229504 6422528 6635776 7068544 7340032 7583744 8078336 8346562 8388608 8605184 8667136 8890903 9232384 9538928 9834496 10161032 10551296 10901632 11239424 11612608 12058624 12369952 12459008 12845056 13271552 14137088 14680064 15167488 16156672 16693124 16777216 17210368 17334272 17781806 18464768 19077856 19668992 20322064 21102592 21803264 22478848 23225216 24117248 24739904 24918016 25690112 26543104 28274176 29212967 29360128 30334976 32313344 33386248 33554432 34420736 34668544 35563612 36929536 38155712 39337984 40644128 42205184 43606528 44957696 46450432 48234496 49479808 49836032 51380224 53086208 56548352 58425934 58720256 60669952 64626688 66772496 67108864 68841472 69337088 71127224 73859072 76311424 78675968 81288256 84410368 87213056 89915392 92900864 96468992 98959616 99672064 102760448 106172416 113096704 116851868 117440512 121339904 129253376 133544992 137682944 138674176 142254448 147718144 152622848 157351936 162576512 168820736 174426112 179830784 185801728 192937984 197919232 199344128 204490769 205520896 212344832 226193408 233703736 234881024 242679808 258506752 267089984 275365888 277348352 284508896 295436288 305245696 314703872 325153024 337641472 348852224 359661568 371603456 385875968 395838464 398688256 408981538 411041792 424689664 452386816 467407472 469762048 485359616 517013504 534179968 550731776 554696704 569017792 590872576 610491392 629407744 650306048 675282944 697704448 719323136 743206912 771751936 791676928 797376512 817963076 822083584 849379328 904773632 934814944 970719232 1034027008 1068359936 1101463552 1109393408 1138035584 1181745152 1220982784 1258815488 1300612096 1350565888 1395408896 1438646272 1486413824 1543503872 1583353856 1594753024 1635926152 1644167168 1698758656 1809547264 1869629888 1941438464 2068054016 2136719872 2202927104 2218786816 2276071168 2363490304 2441965568 2517630976 2601224192 2701131776 2790817792 2877292544 2972827648 3166707712 3189506048 3271852304 3288334336 3397517312 3619094528 3739259776 3882876928 4136108032 4273439744 4405854208 4437573632 4552142336 4726980608 4883931136 5035261952 5202448384 5402263552 5581635584 5754585088 5945655296 6333415424 6379012096 6543704608 6795034624 7238189056 7478519552 7765753856 8272216064 8546879488 8811708416 8875147264 9104284672 9453961216 9767862272 10070523904 10404896768 10804527104 11163271168 11509170176 11891310592 12666830848 12758024192 13087409216 13590069248 14476378112 14957039104 15531507712 16544432128 17093758976 17623416832 17750294528 18208569344 18907922432 19535724544 20141047808 20809793536 22326542336 23018340352 23782621184 25333661696 25516048384 26174818432 27180138496 28952756224 29914078208 31063015424 33088864256 34187517952 35246833664 35500589056 36417138688 37815844864 39071449088 40282095616 41619587072 44653084672 47565242368 50667323392 51032096768 52349636864 54360276992 57905512448 59828156416 62126030848 66177728512 68375035904 70493667328 72834277376 75631689728 78142898176 80564191232 83239174144 89306169344 95130484736 101334646784 102064193536 104699273728 108720553984 115811024896 119656312832 124252061696 132355457024 136750071808 140987334656 145668554752 156285796352 161128382464 166478348288 178612338688 190260969472 202669293568 204128387072 209398547456 217441107968 231622049792 239312625664 248504123392 264710914048 273500143616 281974669312 291337109504 312571592704 332956696576 357224677376 380521938944 405338587136 408256774144 418797094912 434882215936 463244099584 478625251328 529421828096 547000287232 563949338624 582674219008 625143185408 665913393152 714449354752 761043877888 810677174272 816513548288 837594189824 869764431872 926488199168 957250502656 1094000574464 1127898677248 1165348438016 1250286370816 1331826786304 1428898709504 1522087755776 1621354348544 1675188379648 1739528863744 1852976398336 1914501005312 2188001148928 2330696876032 2500572741632 2663653572608 2857797419008 3044175511552 3242708697088 3350376759296 3705952796672 3829002010624 4376002297856 4661393752064 5001145483264 5327307145216 5715594838016 6088351023104 6485417394176 6700753518592 7658004021248 8752004595712 9322787504128 10002290966528 10654614290432 12176702046208 12970834788352 13401507037184 15316008042496 17504009191424 18645575008256 20004581933056 21309228580864 25941669576704 26803014074368 30632016084992 35008018382848 37291150016512 40009163866112 42618457161728 53606028148736 61264032169984 70016036765696 74582300033024 85236914323456 107212056297472 122528064339968 140032073531392 149164600066048 214424112594944 245056128679936 280064147062784 298329200132096 428848225189888 490112257359872 596658400264192 857696450379776 980224514719744 1715392900759552 1960449029439488 3430785801519104 6861571603038208 13723143206076416
• Sum of all divisors σ(n): 33475747949723520
• Sum of proper divisors (its aliquot sum) s(n): 19752604743647104
• 13723143206076416 is an abundant number, because the sum of its proper divisors (19752604743647104) is greater than itself. Its abundance is 6029461537570688

Bases of 13723143206076416

• Binary: 110000110000010010000001000100000000000000000000000000₂
• Hexadecimal: 0x30C12044000000
• Base-36: 3R4G4YFU8ZK

Squares and roots of 13723143206076416

• 13723143206076416 squared (13723143206076416²) is 188324659454481293858465231405056
• 13723143206076416 cubed (13723143206076416³) is 2584406270929419651244760308495000559572584759296
• The square root of 13723143206076416 is 117145820.2672055047
• The cube root of 13723143206076416 is 239414.9127945617

Scales and comparisons

• 13,723,143,206,076,416 seconds is equal to 436,353,505 years, 25 weeks, 1 day, 6 hours, 6 minutes, 56 seconds.
• To count from 1 to 13,723,143,206,076,416 would take you about one billion, three hundred nine million, sixty thousand, five hundred sixteen 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 13723143206076416 cubic inches would be around 19951.2 feet tall.

Recreational maths with 13723143206076416

• 13723143206076416 backwards is 61467060234132731
• 13723143206076416 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13723143206076416's digits is 56
• More coming soon!