109142386296450048

Names of 109142386296450048

• Cardinal: 109142386296450048 can be written as One hundred nine quadrillion, one hundred forty-two trillion, three hundred eighty-six billion, two hundred ninety-six million, four hundred fifty thousand and forty-eight.

Scientific notation

• Scientific notation: 1.09142386296450048 × 10¹⁷

Factors of 109142386296450048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 1315

Divisors of 109142386296450048

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 256 288 304 324 342 361 384 432 456 486 512 513 576 608 648 684 722 729 768 864 912 972 1024 1026 1083 1152 1216 1291 1296 1368 1444 1458 1536 1539 1728 1824 1944 2052 2166 2187 2304 2432 2582 2592 2736 2888 2916 3072 3078 3249 3456 3648 3873 3888 4104 4332 4374 4608 4617 4864 5164 5184 5472 5776 5832 6156 6498 6561 6912 7296 7746 7776 8208 8664 8748 9216 9234 9728 9747 10328 10368 10944 11552 11619 11664 12312 12996 13122 13824 13851 14592 15492 15552 16416 17328 17496 18468 19456 19494 19683 20656 20736 21888 23104 23238 23328 24529 24624 25992 26244 27648 27702 29184 29241 30984 31104 32832 34656 34857 34992 36936 38988 39366 41312 41472 41553 43776 46208 46476 46656 49058 49248 51984 52488 55404 58368 58482 59049 61968 62208 65664 69312 69714 69984 73587 73872 77976 78732 82624 82944 83106 87552 87723 92416 92952 93312 98116 98496 103968 104571 104976 110808 116964 118098 123936 124416 124659 131328 138624 139428 139968 147174 147744 155952 157464 165248 166212 175104 175446 177147 184832 185904 186624 196232 196992 207936 209142 209952 220761 221616 233928 236196 247872 248832 249318 262656 263169 277248 278856 279936 294348 295488 311904 313713 314928 330496 332424 350892 354294 369664 371808 373248 373977 392464 393984 415872 418284 419904 441522 443232 466051 467856 472392 495744 498636 525312 526338 554496 557712 559872 588696 590976 623808 627426 629856 660992 662283 664848 701784 708588 743616 746496 747954 784928 787968 789507 831744 836568 839808 883044 886464 932102 935712 941139 944784 991488 997272 1052676 1108992 1115424 1119744 1121931 1177392 1181952 1247616 1254852 1259712 1321984 1324566 1329696 1398153 1403568 1417176 1487232 1495908 1569856 1575936 1579014 1663488 1666681 1673136 1679616 1766088 1772928 1864204 1871424 1882278 1889568 1982976 1986849 1994544 2105352 2230848 2239488 2243862 2354784 2363904 2368521 2495232 2509704 2519424 2649132 2659392 2796306 2807136 2823417 2834352 2974464 2991816 3139712 3158028 3326976 3333362 3346272 3359232 3365793 3532176 3545856 3728408 3742848 3764556 3779136 3965952 3973698 3989088 4194459 4210704 4461696 4487724 4709568 4727808 4737042 4990464 5000043 5019408 5038848 5298264 5318784 5592612 5614272 5646834 5668704 5948928 5960547 5983632 6279424 6316056 6666724 6692544 6718464 6731586 7064352 7091712 7105563 7456816 7485696 7529112 7558272 7947396 7978176 8388918 8421408 8470251 8923392 8975448 9419136 9474084 9980928 10000086 10038816 10077696 10596528 10637568 11185224 11228544 11293668 11337408 11897856 11921094 11967264 12558848 12583377 12632112 13333448 13385088 13463172 14128704 14183424 14211126 14913632 14971392 15000129 15058224 15116544 15894792 15956352 16777836 16842816 16940502 17846784 17881641 17950896 18838272 18948168 20000172 20077632 20155392 21193056 21275136 21316689 22370448 22457088 22587336 22674816 23842188 23934528 25117696 25166754 25264224 25410753 26666896 26770176 26926344 28257408 28422252 29827264 29942784 30000258 30116448 30233088 31666939 31789584 31912704 33555672 33685632 33881004 35693568 35763282 35901792 37676544 37750131 37896336 40000344 40155264 42386112 42550272 42633378 44740896 44914176 45000387 45174672 45349632 47684376 47869056 50333508 50528448 50821506 53333792 53540352 53644923 53852688 56514816 56844504 59654528 60000516 60232896 60466176 63333878 63579168 63825408 63950067 67111344 67371264 67762008 71526564 71803584 75353088 75500262 75792672 76232259 80000688 80310528 84772224 85266756 89481792 89828352 90000774 90349344 90699264 95000817 95368752 95738112 100667016 101056896 101643012 106667584 107080704 107289846 107705376 113029632 113250393 113689008 119309056 120001032 120465792 126667756 127158336 127650816 127900134 134222688 134742528 135001161 135524016 143053128 143607168 151000524 151585344 152464518 160001376 160621056 160934769 169544448 170533512 178963584 180001548 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1080009288 1084192128 1140009804 1144425024 1148857344 1203343682 1208004192 1212682752 1215010449 1219716144 1280011008 1287478152 1359004716 1364268096 1431708672 1440012384 1445589504 1448412921 1520013072 1525900032 1610672256 1620013932 1626288192 1706681344 1710014706 1716637536 1723286016 1805015523 1812006288 1819024128 1829574216 1920016512 1931217228 2026684096 2034533376 2038507074 2046402144 2147563008 2160018576 2168384256 2280019608 2288850048 2406687364 2416008384 2425365504 2430020898 2439432288 2560022016 2565022059 2574956304 2718009432 2728536192 2880024768 2891179008 2896825842 3040026144 3051800064 3057760611 3221344512 3240027864 3252576384 3420029412 3433275072 3446572032 3610031046 3624012576 3638048256 3645031347 3659148432 3840033024 3862434456 4053368192 4077014148 4092804288 4295126016 4320037152 4336768512 4345238763 4560039216 4577700096 4813374728 4832016768 4860041796 4878864576 5120044032 5130044118 5149912608 5415046569 5436018864 5457072384 5760049536 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1039688941248 1043715621888 1049769027936 1108089529488 1112381123328 1169650058904 1174180074624 1180990156428 1244170699776 1246600720674 1313291294208 1315856316267 1320952583952 1386251921664 1399692037248 1477452705984 1483174831104 1559533411872 1565573432832 1574653541904 1662134294232 1754475088356 1761270111936 1848335895552 1866256049664 1869901081011 1969936941312 2079377882496 2099538055872 2216179058976 2224762246656 2339300117808 2348360149248 2361980312856 2493201441348 2626582588416 2631712632534 2641905167904 2772503843328 2799384074496 2954905411968 3119066823744 3131146865664 3149307083808 3324268588464 3508950176712 3522540223872 3732512099328 3739802162022 3939873882624 3947568948801 4158755764992 4199076111744 4432358117952 4449524493312 4678600235616 4696720298496 4723960625712 4986402882696 5263425265068 5283810335808 5545007686656 5598768148992 5609703243033 5909810823936 6238133647488 6298614167616 6648537176928 7017900353424 7045080447744 7479604324044 7879747765248 7895137897602 8317511529984 8398152223488 8864716235904 9357200471232 9393440596992 9447921251424 9972805765392 10526850530136 10567620671616 11197536297984 11219406486066 11819621647872 11842706846403 12476267294976 12597228335232 13297074353856 14035800706848 14090160895488 14959208648088 15790275795204 16635023059968 16796304446976 17729432471808 18714400942464 18895842502848 19945611530784 21053701060272 21135241343232 22438812972132 23639243295744 23685413692806 24952534589952 25194456670464 26594148707712 28071601413696 28180321790976 29918417296176 31580551590408 33592608893952 35458864943616 35528120539209 37428801884928 37791685005696 39891223061568 42107402120544 42270482686464 44877625944264 47370827385612 49905069179904 50388913340928 53188297415424 56143202827392 59836834592352 63161103180816 70917729887232 71056241078418 74857603769856 75583370011392 79782446123136 84214804241088 84540965372928 89755251888528 94741654771224 100777826681856 106376594830848 106584361617627 112286405654784 119673669184704 126322206361632 142112482156836 149715207539712 151166740022784 159564892246272 168429608482176 179510503777056 189483309542448 212753189661696 213168723235254 224572811309568 239347338369408 252644412723264 284224964313672 302333480045568 319129784492544 336859216964352 359021007554112 378966619084896 426337446470508 449145622619136 478694676738816 505288825446528 568449928627344 638259568985088 673718433928704 718042015108224 757933238169792 852674892941016 957389353477632 1010577650893056 1136899857254688 1347436867857408 1436084030216448 1515866476339584 1705349785882032 1914778706955264 2021155301786112 2273799714509376 2872168060432896 3031732952679168 3410699571764064 4042310603572224 4547599429018752 5744336120865792 6063465905358336 6821399143528128 9095198858037504 12126931810716672 13642798287056256 18190397716075008 27285596574112512 36380795432150016 54571193148225024 109142386296450048
• Sum of all divisors σ(n): 345665533854742920
• Sum of proper divisors (its aliquot sum) s(n): 236523147558292872
• 109142386296450048 is an abundant number, because the sum of its proper divisors (236523147558292872) is greater than itself. Its abundance is 127380761261842824

Bases of 109142386296450048

• Binary: 110000011110000000110110000001101001000110110110000000000₂
• Hexadecimal: 0x183C06C0D236C00
• Base-36: TUNQW300000

Squares and roots of 109142386296450048

• 109142386296450048 squared (109142386296450048²) is 11912060486483527224951686959202304
• 109142386296450048 cubed (109142386296450048³) is 1300110707202463814024130846498658511993841062510592
• The square root of 109142386296450048 is 330367047.8368719631
• The cube root of 109142386296450048 is 477893.5272509133

Scales and comparisons

• 109,142,386,296,450,048 seconds is equal to 3,470,390,284 years, 34 weeks, 2 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 109,142,386,296,450,048 would take you about ten billion, four hundred eleven million, one hundred seventy thousand, eight hundred fifty-three 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 109142386296450048 cubic inches would be around 39824.5 feet tall.

Recreational maths with 109142386296450048

• 109142386296450048 backwards is 840054692683241901
• 109142386296450048 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 109142386296450048's digits is 72
• More coming soon!