642723645510392768

Names of 642723645510392768

• Cardinal: 642723645510392768 can be written as Six hundred forty-two quadrillion, seven hundred twenty-three trillion, six hundred forty-five billion, five hundred ten million, three hundred ninety-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 6.42723645510392768 × 10¹⁷

Factors of 642723645510392768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8320

Divisors of 642723645510392768

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 4 7 8 14 16 19 23 28 32 38 46 49 56 64 76 92 98 112 133 152 161 184 196 224 266 304 322 361 368 392 437 448 532 608 644 722 736 784 874 931 1064 1127 1216 1288 1444 1472 1568 1748 1862 2128 2254 2527 2576 2888 3059 3136 3496 3724 4256 4508 5054 5152 5776 6118 6859 6992 7448 8269 8303 8512 9016 10108 10304 11552 12236 13718 13984 14896 16538 16606 17689 18032 20216 21413 23104 24472 27436 27968 29792 33076 33212 35378 36064 40432 42826 48013 48944 54872 57883 58121 59584 66152 66424 70756 72128 80864 85652 96026 97888 109744 115766 116242 130321 132304 132848 141512 157111 157757 161728 171304 190187 192052 195776 219488 231532 232484 260642 264608 265696 283024 314222 315514 336091 342608 380374 384104 405181 406847 438976 463064 464968 521284 529216 531392 566048 628444 631028 672182 685216 760748 768208 810362 813694 912247 926128 929936 1042568 1099777 1104299 1132096 1256888 1262056 1331309 1344364 1370432 1521496 1536416 1620724 1627388 1824494 1852256 1859872 2085136 2199554 2208598 2513776 2524112 2662618 2688728 2985109 2997383 3042992 3072832 3241448 3254776 3613553 3648988 3704512 3719744 4170272 4399108 4417196 5027552 5048224 5325236 5377456 5970218 5994766 6085984 6385729 6482896 6509552 7227106 7297976 7698439 7730093 8340544 8798216 8834392 9319163 10055104 10096448 10650472 10754912 11940436 11989532 12171968 12771458 12965792 13019104 14454212 14595952 15396878 15460186 17596432 17668784 18638326 20895763 20981681 21300944 21509824 23880872 23979064 25294871 25542916 25931584 26038208 28908424 29191904 30793756 30920372 35192864 35337568 37276652 41791526 41963362 42601888 47761744 47958128 50589742 51085832 56717071 57816848 58383808 61587512 61840744 68376361 68657507 70385728 70675136 74553304 83583052 83926724 85203776 95523488 95916256 101179484 102171664 113434142 115633696 123175024 123681488 136752722 137315014 146270341 146871767 149106608 167166104 167853448 177064097 191046976 191832512 202358968 204343328 226868284 231267392 246350048 247362976 273505444 274630028 292540682 293743534 298213216 334332208 335706896 354128194 397019497 404717936 408686656 453736568 478634527 480602549 492700096 494725952 547010888 549260056 585081364 587487068 596426432 668664416 671413792 708256388 794038994 809435872 907473136 957269054 961205098 1077624349 1094021776 1098520112 1170162728 1174974136 1299150859 1304492633 1337328832 1342827584 1416512776 1572656303 1588077988 1618871744 1814946272 1914538108 1922410196 2155248698 2188043552 2197040224 2340325456 2349948272 2598301718 2608985266 2779136479 2833025552 3145312606 3176155976 3350441689 3364217843 3629892544 3829076216 3844820392 4310497396 4376087104 4394080448 4680650912 4699896544 5196603436 5217970532 5558272958 5666051104 6290625212 6352311952 6700883378 6728435686 7543370443 7658152432 7689640784 8620994792 9094056013 9131448431 9361301824 9399793088 10393206872 10435941064 11008594121 11116545916 11332102208 12581250424 12704623904 13401766756 13456871372 15086740886 15316304864 15379281568 17241989584 18188112026 18262896862 20786413744 20871882128 22017188242 22233091832 24683866321 24785360027 25162500848 25409247808 26803533512 26913742744 29880469757 30173481772 30632609728 30758563136 34483979168 36376224052 36525793724 41572827488 41743764256 44034376484 44466183664 49367732642 49570720054 50325001696 52803593101 53607067024 53827485488 59760939514 60346963544 63658392091 63920139017 68967958336 72752448104 73051587448 77060158847 83145654976 83487528512 88068752968 88932367328 98735465284 99141440108 100650003392 105607186202 107214134048 107654970976 119521879028 120693927088 127316784182 127840278034 145504896208 146103174896 154120317694 172787064247 173497520189 176137505936 177864734656 197470930568 198282880216 209163288299 211214372404 214428268096 215309941952 239043758056 241387854176 254633568364 255680556068 291009792416 292206349792 308240635388 345574128494 346995040378 352275011872 394941861136 396565760432 418326576598 422428744808 468993460099 478087516112 482775708352 509267136728 511361112136 567728925383 582019584832 584412699584 616481270776 691148256988 693990080756 704550023744 789883722272 793131520864 836653153196 844857489616 937986920198 956175032224 1018534273456 1022722224272 1135457850766 1209509449729 1214482641323 1232962541552 1382296513976 1387980161512 1464143018093 1579767444544 1586263041728 1673306306392 1689714979232 1875973840396 1912350064448 2037068546912 2045444448544 2270915701532 2419018899458 2428965282646 2465925083104 2764593027952 2775960323024 2928286036186 3282954220693 3346612612784 3379429958464 3751947680792 3974102477681 4074137093824 4090888897088 4541831403064 4838037798916 4857930565292 4931850166208 5529186055904 5551920646048 5856572072372 6565908441386 6693225225568 7503895361584 7948204955362 8910875741881 9083662806128 9676075597832 9715861130584 10786849582277 11058372111808 11103841292096 11713144144744 13131816882772 13386450451136 15007790723168 15896409910724 17821751483762 18167325612256 19352151195664 19431722261168 21573699164554 22980679544851 23426288289488 26263633765544 27818717343767 30015581446336 31792819821448 35643502967524 36334651224512 38704302391328 38863444522336 43147398329108 45961359089702 46852576578976 52527267531088 55637434687534 62376130193167 63585639642896 71287005935048 75507947075939 77408604782656 77726889044672 86294796658216 91922718179404 93705153157952 105054535062176 111274869375068 124752260386334 127171279285792 142574011870096 151015894151878 172589593316432 183845436358808 204950142063263 210109070124352 222549738750136 249504520772668 254342558571584 285148023740192 302031788303756 345179186632864 367690872717616 409900284126526 436632911352169 445099477500272 499009041545336 528555629531573 570296047480384 604063576607512 690358373265728 735381745435232 819800568253052 873265822704338 890198955000544 998018083090672 1057111259063146 1208127153215024 1434650994442841 1470763490870464 1639601136506104 1746531645408676 1780397910001088 1996036166181344 2114222518126292 2416254306430048 2869301988885682 3279202273012208 3493063290817352 3992072332362688 4228445036252584 4832508612860096 5738603977771364 6558404546024416 6986126581634704 8456890072505168 10042556961099887 11477207955542728 13116809092048832 13972253163269408 16913780145010336 20085113922199774 22954415911085456 27944506326538816 33827560290020672 40170227844399548 45908831822170912 80340455688799096 91817663644341824 160680911377598192 321361822755196384 642723645510392768
• Sum of all divisors σ(n): 1634344667777036376
• Sum of proper divisors (its aliquot sum) s(n): 991621022266643608
• 642723645510392768 is an abundant number, because the sum of its proper divisors (991621022266643608) is greater than itself. Its abundance is 348897376756250840

Bases of 642723645510392768

• Binary: 100011101011011010011100000000010011011001000001101111000000₂
• Hexadecimal: 0x8EB69C013641BC0
• Base-36: 4VSIIMLC4JI8

Squares and roots of 642723645510392768

• 642723645510392768 squared (642723645510392768²) is 413093684498169025721699497626701824
• 642723645510392768 cubed (642723645510392768³) is 265505078837983221112288636679264049907330254662008832
• The square root of 642723645510392768 is 801700471.1925724995
• The cube root of 642723645510392768 is 862994.6285070461

Scales and comparisons

• 642,723,645,510,392,768 seconds is equal to 20,436,623,852 years, 24 weeks, 5 hours, 6 minutes, 8 seconds.
• To count from 1 to 642,723,645,510,392,768 would take you about sixty-one billion, three hundred nine million, eight hundred seventy-one thousand, five hundred fifty-seven 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 642723645510392768 cubic inches would be around 71916.2 feet tall.

Recreational maths with 642723645510392768

• 642723645510392768 backwards is 867293015546327246
• The number of decimal digits it has is: 18
• The sum of 642723645510392768's digits is 80
• More coming soon!