4042493713649664
4,042,493,713,649,664 is an even composite number composed of five prime numbers multiplied together.
4042493713649664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred fifty-five divisors.
Prime factorization of 4042493713649664:
212 × 34 × 72 × 132 × 12132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 1213 × 1213)See below for interesting mathematical facts about the number 4042493713649664 from the Numbermatics database.
Names of 4042493713649664
- Cardinal: 4042493713649664 can be written as Four quadrillion, forty-two trillion, four hundred ninety-three billion, seven hundred thirteen million, six hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.042493713649664 × 1015
Factors of 4042493713649664
Divisors of 4042493713649664
- Number of divisors d(n): 1755
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 156 162 168 169 182 189 192 196 208 216 224 234 252 256 273 288 294 312 324 336 338 351 364 378 384 392 416 432 441 448 468 504 507 512 546 567 576 588 624 637 648 672 676 702 728 756 768 784 819 832 864 882 896 936 1008 1014 1024 1053 1092 1134 1152 1176 1183 1213 1248 1274 1296 1323 1344 1352 1404 1456 1512 1521 1536 1568 1638 1664 1728 1764 1792 1872 1911 2016 2028 2048 2106 2184 2268 2304 2352 2366 2426 2457 2496 2548 2592 2646 2688 2704 2808 2912 3024 3042 3072 3136 3276 3328 3456 3528 3549 3584 3639 3744 3822 3969 4032 4056 4096 4212 4368 4536 4563 4608 4704 4732 4852 4914 4992 5096 5184 5292 5376 5408 5616 5733 5824 6048 6084 6144 6272 6552 6656 6912 7056 7098 7168 7278 7371 7488 7644 7938 8064 8112 8281 8424 8491 8736 9072 9126 9216 9408 9464 9704 9828 9984 10192 10368 10584 10647 10752 10816 10917 11232 11466 11648 12096 12168 12288 12544 13104 13312 13689 13824 14112 14196 14336 14556 14742 14976 15288 15769 15876 16128 16224 16562 16848 16982 17199 17472 18144 18252 18432 18816 18928 19408 19656 19968 20384 20736 21168 21294 21504 21632 21834 22464 22932 23296 24192 24336 24843 25088 25473 26208 26624 27378 27648 28224 28392 28672 29112 29484 29952 30576 31538 31752 31941 32256 32448 32751 33124 33696 33964 34398 34944 36288 36504 36864 37632 37856 38816 39312 39936 40768 41472 42336 42588 43008 43264 43668 44928 45864 46592 47307 48384 48672 49686 50176 50946 51597 52416 53248 54756 55296 56448 56784 58224 58968 59437 59904 61152 63076 63504 63882 64512 64896 65502 66248 67392 67928 68796 69888 72576 73008 74529 75264 75712 76419 77632 78624 79872 81536 82944 84672 85176 86016 86528 87336 89856 91728 93184 94614 95823 96768 97344 98253 99372 100352 101892 103194 104832 109512 110383 110592 112896 113568 116448 117936 118874 119808 122304 126152 127008 127764 129024 129792 131004 132496 134784 135856 137592 139776 141921 145152 146016 149058 150528 151424 152838 155264 157248 159744 163072 165888 169344 170352 173056 174672 178311 179712 183456 186368 189228 191646 193536 194688 196506 198744 200704 203784 204997 206388 209664 219024 220766 223587 225792 227136 229257 232896 235872 237748 239616 244608 252304 254016 255528 258048 259584 262008 264992 269568 271712 275184 279552 283842 290304 292032 298116 301056 302848 305676 310528 314496 326144 331149 331776 338688 340704 346112 349344 356622 359424 366912 372736 378456 383292 387072 389376 393012 397488 407568 409994 412776 419328 425763 438048 441532 447174 451584 454272 458514 465792 471744 475496 479232 489216 504608 508032 511056 519168 524016 529984 534933 539136 543424 550368 559104 567684 580608 584064 596232 602112 605696 611352 614991 621056 628992 652288 662298 670761 677376 681408 687771 692224 698688 713244 718848 733824 756912 766584 772681 774144 778752 786024 794976 815136 819988 825552 838656 851526 876096 883064 894348 903168 908544 917028 931584 943488 950992 978432 993447 1009216 1016064 1022112 1038336 1048032 1059968 1069866 1078272 1086848 1100736 1118208 1135368 1161216 1168128 1192464 1211392 1222704 1229982 1242112 1257984 1277289 1304576 1324596 1341522 1354752 1362816 1375542 1397376 1426488 1434979 1437696 1467648 1471369 1513824 1533168 1545362 1557504 1572048 1589952 1604799 1630272 1639976 1651104 1677312 1703052 1752192 1766128 1788696 1806336 1817088 1834056 1844973 1863168 1886976 1901984 1956864 1986894 2018432 2032128 2044224 2076672 2096064 2119936 2139732 2156544 2173696 2201472 2270736 2318043 2322432 2336256 2384928 2422784 2445408 2459964 2484224 2515968 2554578 2609152 2649192 2683044 2709504 2725632 2751084 2794752 2852976 2869958 2935296 2942738 2980341 3027648 3066336 3090724 3115008 3144096 3179904 3209598 3260544 3279952 3302208 3354624 3406104 3504384 3532256 3577392 3634176 3668112 3689946 3726336 3773952 3803968 3913728 3973788 4036864 4064256 4088448 4192128 4239872 4279464 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73827410944 75918226293 77123277504 78347456512 79348598784 80566280964 81360820224 83055837312 83550217296 85452337152 86763687192 88140888576 89977157088 92573365248 93437816976 93993994458 94920956928 95485962624 97475253512 99158499648 101224301724 102831036672 104145035904 106786076544 107421707952 109659660201 110741116416 111400289728 115684916256 117521184768 119022898176 119969542784 122041230336 123431153664 124583755968 125325325944 126561275904 127314616832 128178505728 132211332864 134965735632 137108048896 138860047872 140990991687 142381435392 143228943936 146212880268 147654821888 151836452586 154246555008 158697197568 161132561928 162721640448 166111674624 167100434592 173527374384 176281777152 179954314176 185146730496 186875633952 187987988916 189841913856 190971925248 194950507024 198316999296 202448603448 205662073344 208290071808 213572153088 214843415904 219319320402 221482232832 222800579456 231369832512 235042369536 238045796352 239939085568 244082460672 249167511936 250650651888 254629233664 256357011456 264422665728 269931471264 274216097792 277720095744 281981983374 284762870784 286457887872 292425760536 295309643776 303672905172 308493110016 322265123856 328978980603 332223349248 334200869184 347054748768 352563554304 359908628352 370293460992 373751267904 375975977832 379683827712 381943850496 389901014048 396633998592 404897206896 411324146688 416580143616 427144306176 429686831808 438638640804 442964465664 445601158912 462739665024 476091592704 479878171136 488164921344 498335023872 501301303776 509258467328 528845331456 539862942528 548432195584 555440191488 563963966748 569525741568 572915775744 584851521072 607345810344 616986220032 644530247712 657957961206 664446698496 668401738368 694109497536 705127108608 719817256704 747502535808 751951955664 763887700992 779802028096 793267997184 809794413792 822648293376 833160287232 854288612352 859373663616 877277281608 885928931328 891202317824 925479330048 959756342272 986936941809 996670047744 1002602607552 1018516934656 1057690662912 1079725885056 1110880382976 1127927933496 1139051483136 1145831551488 1169703042144 1214691620688 1233972440064 1289060495424 1315915922412 1328893396992 1336803476736 1388218995072 1439634513408 1495005071616 1503903911328 1527775401984 1559604056192 1586535994368 1619588827584 1645296586752 1666320574464 1708577224704 1718747327232 1754554563216 1782404635648 1850958660096 1919512684544 1973873883618 1993340095488 2005205215104 2115381325824 2159451770112 2255855866992 2291663102976 2339406084288 2429383241376 2467944880128 2578120990848 2631831844824 2657786793984 2673606953472 2776437990144 2879269026816 2990010143232 3007807822656 3055550803968 3119208112384 3173071988736 3239177655168 3332641148928 3417154449408 3437494654464 3509109126432 3564809271296 3701917320192 3839025369088 3947747767236 3986680190976 4010410430208 4318903540224 4511711733984 4583326205952 4678812168576 4858766482752 4935889760256 5156241981696 5263663689648 5347213906944 5552875980288 5758538053632 5980020286464 6015615645312 6238416224768 6346143977472 6478355310336 6874989308928 7018218252864 7129618542592 7403834640384 7895495534472 7973360381952 8020820860416 8637807080448 9023423467968 9166652411904 9357624337152 9717532965504 10312483963392 10527327379296 10694427813888 11105751960576 11517076107264 11960040572928 12031231290624 12476832449536 12956710620672 13749978617856 14036436505728 14807669280768 15790991068944 16041641720832 17275614160896 18046846935936 18715248674304 19435065931008 20624967926784 21054654758592 21388855627776 22211503921152 23920081145856 24062462581248 24953664899072 25913421241344 27499957235712 28072873011456 31581982137888 32083283441664 34551228321792 36093693871872 37430497348608 38870131862016 41249935853568 42109309517184 44423007842304 48124925162496 49907329798144 51826842482688 56145746022912 63163964275776 64166566883328 72187387743744 74860994697216 77740263724032 82499871707136 84218619034368 96249850324992 103653684965376 112291492045824 126327928551552 144374775487488 149721989394432 155480527448064 168437238068736 192499700649984 224582984091648 252655857103104 288749550974976 310961054896128 336874476137472 449165968183296 505311714206208 577499101949952 673748952274944 1010623428412416 1347497904549888 2021246856824832 4042493713649664
- Sum of all divisors σ(n): 15223973670516303
- Sum of proper divisors (its aliquot sum) s(n): 11181479956866639
- 4042493713649664 is an abundant number, because the sum of its proper divisors (11181479956866639) is greater than itself. Its abundance is 7138986243216975
Bases of 4042493713649664
- Binary: 11100101110010100000011010011100111100010000000000002
- Hexadecimal: 0xE5CA069CF1000
- Base-36: 13SXZZ30G00
Squares and roots of 4042493713649664
- 4042493713649664 squared (40424937136496642) is 16341755424897051640546927312896
- 4042493713649664 cubed (40424937136496643) is 66061443575146625125507607700854342808653266944
-
4042493713649664 is a
perfect square number . Itssquare root is 63580608 -
The
cube root of 4042493713649664 is 159300.2476914701
Scales and comparisons
How big is 4042493713649664?- 4,042,493,713,649,664 seconds is equal to 128,538,795 years, 43 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 4,042,493,713,649,664 would take you about three hundred eighty-five million, six hundred sixteen thousand, three hundred eighty-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 4042493713649664 cubic inches would be around 13275 feet tall.
Recreational maths with 4042493713649664
- 4042493713649664 backwards is 4669463173942404
- 4042493713649664 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4042493713649664's digits is 72
- More coming soon!
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"Number 4042493713649664 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 4042493713649664 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/4042493713649664/
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The information we have on file for 4042493713649664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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