10742528256928416

Names of 10742528256928416

• Cardinal: 10742528256928416 can be written as Ten quadrillion, seven hundred forty-two trillion, five hundred twenty-eight billion, two hundred fifty-six million, nine hundred twenty-eight thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.0742528256928416 × 10¹⁶

Factors of 10742528256928416

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 184266

Divisors of 10742528256928416

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 31 32 36 38 39 48 52 57 62 72 76 78 93 96 104 114 117 124 144 152 156 171 186 208 228 234 247 248 279 288 304 312 342 372 403 416 456 468 494 496 558 589 608 624 684 741 744 806 912 936 988 992 1116 1178 1209 1248 1368 1482 1488 1612 1767 1824 1872 1976 2223 2232 2356 2418 2736 2964 2976 3224 3534 3627 3744 3952 4446 4464 4712 4836 5301 5472 5928 6448 7068 7254 7657 7904 8892 8928 9424 9672 10602 11856 12896 14136 14508 15314 17784 18848 19344 21204 22971 23712 28272 29016 30628 32009 35568 38688 42408 45942 56544 58032 61256 64018 68913 71136 84816 91884 96027 116064 122512 128036 137826 152189 169632 183768 192054 245024 256072 275652 288081 304378 367536 384108 416117 456567 512144 551304 576162 608171 608756 735072 768216 832234 913134 992279 1024288 1102608 1152324 1216342 1217512 1248351 1369701 1536432 1664468 1824513 1826268 1978457 1984558 2205216 2304648 2432684 2435024 2496702 2739402 2891591 2976837 3072864 3328936 3649026 3652536 3745053 3956914 3969116 4609296 4717859 4865368 4870048 4993404 5473539 5478804 5783182 5935371 5953674 6657872 7298052 7305072 7490106 7906223 7913828 7938232 8674773 8930511 9218592 9435718 9730736 9986808 10947078 10957608 11566364 11870742 11907348 12899627 13315744 14153577 14596104 14610144 14980212 15812446 15827656 15876464 17349546 17806113 17861022 18853301 18871436 19461472 19973616 21894156 21915216 23132728 23718669 23741484 23814696 25799254 26024319 28307154 29192208 29960424 31624892 31655312 31752928 34699092 35612226 35722044 37590683 37706602 37742872 38698881 39947232 42460731 43788312 43830432 46265456 47437338 47482968 47629392 51598508 52048638 56559903 56614308 58384416 59920848 61332167 63249784 63310624 69398184 71156007 71224452 71444088 75181366 75413204 75485744 77397762 84921462 87576624 89639321 92530912 94874676 94965936 95258784 103197016 104097276 112772049 113119806 113228616 116096643 119841696 122664334 126499568 138796368 142312014 142448904 142888176 150362732 150826408 150971488 154795524 169679709 169842924 175153248 179278642 183996501 189749352 189931872 206394032 208194552 225544098 226239612 226457232 232193286 245092913 245328668 252999136 268917963 277592736 284624028 284897808 285776352 300725464 301652816 309591048 338316147 339359418 339685848 358557284 367993002 379498704 412788064 416389104 451088196 452479224 452914464 464386572 490185826 490657336 537835926 551989503 569248056 569795616 601450928 603305632 619182096 676632294 678718836 679371696 717114568 735278739 735986004 758997408 806753889 832778208 902176392 904958448 928773144 980371652 981314672 1075671852 1103979006 1138496112 1165311173 1202901856 1238364192 1353264588 1357437672 1358743392 1434229136 1470557478 1471972008 1613507778 1804352784 1809916896 1857546288 1960743304 1962629344 2151343704 2205836217 2207958012 2276992224 2330622346 2706529176 2714875344 2868458272 2941114956 2943944016 3227015556 3495933519 3608705568 3715092576 3921486608 4302687408 4411672434 4415916024 4661244692 4871417701 5413058352 5429750688 5882229912 5887888032 6454031112 6991867038 7842973216 8605374816 8823344868 8831832048 9322489384 9742835402 10487800557 10826116704 11764459824 12908062224 13983734076 14614253103 17646689736 17663664096 18644978768 19485670804 20975601114 23528919648 25816124448 27967468152 29228506206 35293379472 37289957536 38971341608 41951202228 43842759309 55934936304 58457012412 63328430113 70586758944 77942683216 83902404456 87685518618 92556936319 111869872608 116914024824 126656860226 151013948731 155885366432 167804808912 175371037236 185113872638 189985290339 233828049648 253313720452 277670808957 302027897462 335609617824 350742074472 370227745276 379970580678 453041846193 467656099296 506627440904 555341617914 569955871017 604055794924 701484148944 740455490552 759941161356 833012426871 906083692386 1013254881808 1110683235828 1139911742034 1203240172147 1208111589848 1359125538579 1402968297888 1480910981104 1519882322712 1666024853742 1812167384772 1963181333503 2026509763616 2221366471656 2279823484068 2406480344294 2416223179696 2718251077158 2869265025889 2961821962208 3039764645424 3332049707484 3609720516441 3624334769544 3926362667006 4442732943312 4559646968136 4812960688588 4832446359392 5436502154316 5738530051778 5889544000509 6079529290848 6664099414968 7219441032882 7248669539088 7852725334012 8607795077667 8885465886624 9119293936272 9625921377176 10829161549323 10873004308632 11477060103556 11779088001018 13328198829936 14438882065764 14497339078176 15705450668024 17215590155334 17668632001527 18238587872544 19251842754352 21658323098646 21746008617264 22954120207112 23558176002036 25823385233001 26656397659872 28877764131528 31410901336048 34431180310668 35337264003054 37300445336557 38503685508704 43316646197292 43492017234528 45908240414224 47116352004072 51646770466002 57755528263056 62821802672096 68862360621336 70674528006108 74600890673114 86633292394584 91816480828448 94232704008144 103293540932004 111901336009671 115511056526112 137724721242672 141349056012216 149201781346228 173266584789168 188465408016288 206587081864008 223802672019342 275449442485344 282698112024432 298403562692456 335704008029013 346533169578336 413174163728016 447605344038684 565396224048864 596807125384912 671408016058026 826348327456032 895210688077368 1193614250769824 1342816032116052 1790421376154736 2685632064232104 3580842752309472 5371264128464208 10742528256928416
• Sum of all divisors σ(n): 35748983926656000
• Sum of proper divisors (its aliquot sum) s(n): 25006455669727584
• 10742528256928416 is an abundant number, because the sum of its proper divisors (25006455669727584) is greater than itself. Its abundance is 14263927412799168

Bases of 10742528256928416

• Binary: 100110001010100100010111000100101111100110101010100000₂
• Hexadecimal: 0x262A45C4BE6AA0
• Base-36: 2XRWPCOBC80

Squares and roots of 10742528256928416

• 10742528256928416 squared (10742528256928416²) is 115401913350905471763506948269056
• 10742528256928416 cubed (10742528256928416³) is 1239708315075706656390077795905452437330499895296
• The square root of 10742528256928416 is 103646168.5588445473
• The cube root of 10742528256928416 is 220649.1040059953

Scales and comparisons

• 10,742,528,256,928,416 seconds is equal to 341,579,169 years, 38 weeks, 6 days, 12 hours, 33 minutes, 36 seconds.
• To count from 1 to 10,742,528,256,928,416 would take you about one billion, twenty-four million, seven hundred thirty-seven thousand, five hundred nine 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 10742528256928416 cubic inches would be around 18387.4 feet tall.

Recreational maths with 10742528256928416

• 10742528256928416 backwards is 61482965282524701
• 10742528256928416 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 10742528256928416's digits is 72
• More coming soon!