4052433756672

Names of 4052433756672

• Cardinal: 4052433756672 can be written as Four trillion, fifty-two billion, four hundred thirty-three million, seven hundred fifty-six thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.052433756672 × 10¹²

Factors of 4052433756672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 428

Divisors of 4052433756672

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 64 72 84 86 96 98 108 112 126 128 129 144 147 168 172 189 192 196 216 224 252 256 258 288 294 301 336 344 373 378 384 387 392 432 441 448 504 512 516 576 588 602 672 688 746 756 768 774 784 864 882 896 903 1008 1032 1119 1152 1161 1176 1204 1323 1344 1376 1492 1512 1536 1548 1568 1728 1764 1792 1806 2016 2064 2107 2238 2304 2322 2352 2408 2611 2646 2688 2709 2752 2984 3024 3096 3136 3357 3456 3528 3584 3612 4032 4128 4214 4476 4608 4644 4704 4816 5222 5292 5376 5418 5504 5968 6048 6192 6272 6321 6714 6912 7056 7224 7833 8064 8127 8256 8428 8952 9288 9408 9632 10071 10444 10584 10752 10836 11008 11936 12096 12384 12544 12642 13428 13824 14112 14448 15666 16039 16128 16254 16512 16856 17904 18277 18576 18816 18963 19264 20142 20888 21168 21672 22016 23499 23872 24192 24768 25088 25284 26856 28224 28896 31332 32078 32256 32508 33024 33712 35808 36554 37152 37632 37926 38528 40284 41776 42336 43344 46998 47744 48117 48384 49536 50568 53712 54831 56448 56889 57792 62664 64156 65016 66048 67424 70497 71616 73108 74304 75264 75852 77056 80568 83552 84672 86688 93996 95488 96234 96768 99072 101136 107424 109662 112273 112896 113778 115584 125328 128312 130032 134848 139129 140994 143232 144351 146216 148608 151704 154112 161136 164493 167104 169344 173376 187992 190976 192468 198144 202272 214848 219324 224546 225792 227556 231168 250656 256624 260064 269696 278258 281988 286464 288702 292432 297216 303408 322272 328986 334208 336819 338688 346752 375984 384936 404544 417387 429696 433053 438648 449092 455112 462336 493479 501312 513248 520128 539392 556516 563976 572928 577404 584864 594432 606816 644544 657972 668416 673638 677376 693504 751968 769872 785911 809088 834774 859392 866106 877296 898184 910224 973903 986958 1002624 1010457 1026496 1040256 1078784 1113032 1127952 1154808 1169728 1213632 1252161 1289088 1315944 1336832 1347276 1387008 1503936 1539744 1571822 1618176 1669548 1718784 1732212 1754592 1796368 1820448 1947806 1973916 2005248 2020914 2052992 2080512 2226064 2255904 2309616 2339456 2357733 2427264 2504322 2578176 2631888 2694552 2921709 3007872 3031371 3079488 3143644 3236352 3339096 3464424 3509184 3592736 3640896 3756483 3895612 3947832 4010496 4041828 4105984 4161024 4452128 4511808 4619232 4678912 4715466 4854528 5008644 5156352 5263776 5389104 5843418 5982547 6015744 6062742 6158976 6287288 6678192 6817321 6928848 7018368 7073199 7185472 7281792 7512966 7791224 7895664 8083656 8211968 8765127 8904256 9023616 9238464 9357824 9430932 9709056 10017288 10527552 10778208 11686836 11965094 12031488 12125484 12317952 12574576 13356384 13634642 13857696 14036736 14146398 14370944 14563584 15025932 15582448 15791328 16167312 17530254 17808512 17947641 18047232 18476928 18861864 20034576 20451963 21055104 21219597 21556416 23373672 23930188 24250968 24635904 25149152 26295381 26712768 27269284 27715392 28073472 28292796 28741888 29127168 30051864 31164896 31582656 32334624 35060508 35617024 35895282 36094464 36953856 37723728 40069152 40903926 41877829 42110208 42439194 43112832 46747344 47860376 48501936 50298304 52590762 53425536 53842923 54538568 55430784 56585592 57483776 60103728 61355889 62329792 63165312 64669248 70121016 71234048 71790564 73907712 75447456 80138304 81807852 83755658 84220416 84878388 86225664 93494688 95720752 97003872 100596608 105181524 106851072 107685846 109077136 110861568 113171184 120207456 122711778 124659584 125633487 126330624 129338496 140242032 143581128 150894912 160276608 161528769 163615704 167511316 169756776 172451328 184067667 186989376 191441504 194007744 201193216 210363048 213702144 215371692 218154272 221723136 226342368 240414912 245423556 249319168 251266974 252661248 258676992 280484064 287162256 293144803 301789824 320553216 323057538 327231408 335022632 339513552 368135334 373978752 376900461 382883008 388015488 402386432 420726096 430743384 436308544 452684736 480829824 490847112 498638336 502533948 517353984 560968128 574324512 586289606 603579648 641106432 646115076 654462816 670045264 679027104 736270668 747957504 753800922 765766016 776030976 841452192 861486768 872617088 879434409 905369472 961659648 981694224 1005067896 1121936256 1130701383 1148649024 1172579212 1207159296 1292230152 1308925632 1340090528 1358054208 1472541336 1495915008 1507601844 1531532032 1552061952 1682904384 1722973536 1745234176 1758868818 1810738944 1923319296 1963388448 2010135792 2243872512 2261402766 2297298048 2345158424 2584460304 2617851264 2638303227 2680181056 2716108416 2945082672 3015203688 3063064064 3365808768 3445947072 3490468352 3517737636 3621477888 3926776896 4020271584 4487745024 4522805532 4594596096 4690316848 5168920608 5235702528 5276606454 5360362112 5432216832 5890165344 6030407376 6731617536 6891894144 7035475272 7853553792 7914909681 8040543168 9045611064 9189192192 9380633696 10337841216 10471405056 10553212908 10720724224 10864433664 11780330688 12060814752 13463235072 13783788288 14070950544 15707107584 15829819362 16081086336 18091222128 18761267392 20675682432 21106425816 21441448448 23560661376 24121629504 27567576576 28141901088 31414215168 31659638724 32162172672 36182444256 37522534784 41351364864 42212851632 47121322752 48243259008 56283802176 63319277448 64324345344 72364888512 75045069568 82702729728 84425703264 94242645504 96486518016 112567604352 126638554896 144729777024 150090139136 168851406528 192973036032 225135208704 253277109792 289459554048 337702813056 450270417408 506554219584 578919108096 675405626112 1013108439168 1350811252224 2026216878336 4052433756672
• Sum of all divisors σ(n): 14316824602080
• Sum of proper divisors (its aliquot sum) s(n): 10264390845408
• 4052433756672 is an abundant number, because the sum of its proper divisors (10264390845408) is greater than itself. Its abundance is 6211957088736

Bases of 4052433756672

• Binary: 111010111110000111110111111110001000000000₂
• Hexadecimal: 0x3AF87DFE200
• Base-36: 1FPNUFEO0

Squares and roots of 4052433756672

• 4052433756672 squared (4052433756672²) is 16422219352214738504515584
• 4052433756672 cubed (4052433756672³) is 66549956062387191081100215304687976448
• The square root of 4052433756672 is 2013065.7606427069
• The cube root of 4052433756672 is 15943.0708025609

Scales and comparisons

• 4,052,433,756,672 seconds is equal to 128,854 years, 44 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 4,052,433,756,672 would take you about three hundred twenty-two thousand, one hundred thirty-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 4052433756672 cubic inches would be around 1328.6 feet tall.

Recreational maths with 4052433756672

• 4052433756672 backwards is 2766573342504
• 4052433756672 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4052433756672's digits is 54
• More coming soon!