42420295746831168
42,420,295,746,831,168 is an even composite number composed of six prime numbers multiplied together.
42420295746831168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42420295746831168:
26 × 32 × 53 × 131 × 241 × 44013611
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 53 × 131 × 241 × 44013611)See below for interesting mathematical facts about the number 42420295746831168 from the Numbermatics database.
Names of 42420295746831168
- Cardinal: 42420295746831168 can be written as Forty-two quadrillion, four hundred twenty trillion, two hundred ninety-five billion, seven hundred forty-six million, eight hundred thirty-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2420295746831168 × 1016
Factors of 42420295746831168
Divisors of 42420295746831168
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 131 144 159 192 212 241 262 288 318 393 424 477 482 524 576 636 723 786 848 954 964 1048 1179 1272 1446 1572 1696 1908 1928 2096 2169 2358 2544 2892 3144 3392 3816 3856 4192 4338 4716 5088 5784 6288 6943 7632 7712 8384 8676 9432 10176 11568 12576 12773 13886 15264 15424 17352 18864 20829 23136 25152 25546 27772 30528 31571 34704 37728 38319 41658 46272 51092 55544 62487 63142 69408 75456 76638 83316 94713 102184 111088 114957 124974 126284 138816 153276 166632 189426 204368 222176 229914 249948 252568 284139 306552 333264 378852 408736 444352 459828 499896 505136 568278 613104 666528 757704 817472 919656 999792 1010272 1136556 1226208 1333056 1515408 1673263 1839312 1999584 2020544 2273112 2452416 3030816 3346526 3678624 3999168 4546224 5019789 6061632 6693052 7357248 9092448 10039578 13386104 15059367 18184896 20079156 26772208 30118734 40158312 44013611 53544416 60237468 80316624 88027222 107088832 120474936 132040833 160633248 176054444 240949872 264081666 321266496 352108888 396122499 481899744 528163332 704217776 792244998 963799488 1056326664 1408435552 1584489996 2112653328 2332721383 2816871104 3168979992 4225306656 4665442766 5765783041 6337959984 6998164149 8450613312 9330885532 10607280251 11531566082 12675919968 13996328298 17297349123 18661771064 20994492447 21214560502 23063132164 25351839936 27992656596 31821840753 34594698246 37323542128 41988984894 42429121004 46126264328 51892047369 55985313192 63643681506 69189396492 74647084256 83977969788 84858242008 92252528656 95465522259 103784094738 111970626384 127287363012 138378792984 149294168512 167955939576 169716484016 184505057312 190931044518 207568189476 223941252768 254574726024 276757585968 305586501173 335911879152 339432968032 369010114624 381862089036 415136378952 447882505536 509149452048 553515171936 562185853303 611173002346 671823758304 678865936064 763724178072 830272757904 916759503519 1018298904096 1107030343872 1124371706606 1222346004692 1343647516608 1389553712881 1527448356144 1660545515808 1686557559909 1833519007038 2036597808192 2248743413212 2444692009384 2750278510557 2779107425762 3054896712288 3321091031616 3373115119818 3667038014076 4168661138643 4497486826424 4889384018768 5059672679727 5500557021114 5558214851524 6109793424576 6746230239636 7334076028152 8337322277286 8994973652848 9778768037536 10119345359454 11001114042228 11116429703048 12505983415929 13492460479272 14668152056304 16674644554572 17989947305696 19557536075072 20238690718908 22002228084456 22232859406096 25011966831858 26984920958544 29336304112608 33349289109144 35979894611392 40477381437816 44004456168912 44465718812192 50023933663716 53969841917088 58672608225216 66698578218288 73646346782693 80954762875632 88008912337824 88931437624384 100047867327432 107939683834176 133397156436576 147292693565386 161909525751264 176017824675648 200095734654864 220939040348079 266794312873152 294585387130772 323819051502528 400191469309728 441878080696158 589170774261544 662817121044237 800382938619456 883756161392316 1178341548523088 1325634242088474 1767512322784632 2356683097046176 2651268484176948 3535024645569264 4713366194092352 5302536968353896 7070049291138528 10605073936707792 14140098582277056 21210147873415584 42420295746831168
- Sum of all divisors σ(n): 125347922640338112
- Sum of proper divisors (its aliquot sum) s(n): 82927626893506944
- 42420295746831168 is an abundant number, because the sum of its proper divisors (82927626893506944) is greater than itself. Its abundance is 40507331146675776
Bases of 42420295746831168
- Binary: 100101101011010100001000110000110100000111000011010000002
- Hexadecimal: 0x96B508C341C340
- Base-36: BLOQMU430W0
Squares and roots of 42420295746831168
- 42420295746831168 squared (424202957468311682) is 1799481491248622481265913496244224
- 42420295746831168 cubed (424202957468311683) is 76334537049715347902522530030041669113117423173632
-
The
square root of 42420295746831168 is 205961879.3535132995 -
The
cube root of 42420295746831168 is 348758.3095957833
Scales and comparisons
How big is 42420295746831168?- 42,420,295,746,831,168 seconds is equal to 1,348,834,190 years, 8 weeks, 1 day, 22 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,420,295,746,831,168 would take you about four billion, forty-six million, five hundred two thousand, five hundred seventy 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 42420295746831168 cubic inches would be around 29063.2 feet tall.
Recreational maths with 42420295746831168
- 42420295746831168 backwards is 86113864759202424
- 42420295746831168 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42420295746831168's digits is 72
- More coming soon!
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