42468298125142656
42,468,298,125,142,656 is an even composite number composed of six prime numbers multiplied together.
What does the number 42468298125142656 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
42468298125142656 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42468298125142656:
27 × 3 × 13 × 192 × 473 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 19 × 47 × 47 × 47 × 61 × 61 × 61)See below for interesting mathematical facts about the number 42468298125142656 from the Numbermatics database.
Names of 42468298125142656
- Cardinal: 42468298125142656 can be written as Forty-two quadrillion, four hundred sixty-eight trillion, two hundred ninety-eight billion, one hundred twenty-five million, one hundred forty-two thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 4.2468298125142656 × 1016
Factors of 42468298125142656
Divisors of 42468298125142656
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 47 48 52 57 61 64 76 78 94 96 104 114 122 128 141 152 156 183 188 192 208 228 244 247 282 304 312 361 366 376 384 416 456 488 494 564 608 611 624 722 732 741 752 793 832 893 912 976 988 1083 1128 1159 1216 1222 1248 1444 1464 1482 1504 1586 1664 1786 1824 1833 1952 1976 2166 2209 2256 2318 2379 2432 2444 2496 2679 2867 2888 2928 2964 3008 3172 3477 3572 3648 3666 3721 3904 3952 4332 4418 4512 4636 4693 4758 4888 4992 5358 5734 5776 5856 5928 6016 6344 6627 6954 7144 7296 7332 7442 7808 7904 8601 8664 8836 9024 9272 9386 9516 9776 10716 11163 11468 11552 11609 11712 11856 12688 13254 13908 14079 14288 14664 14884 15067 15808 16967 17202 17328 17672 18048 18544 18772 19032 19552 21432 22021 22326 22936 23104 23218 23424 23712 25376 26508 27816 28158 28576 28717 29328 29768 30134 31616 33934 34404 34656 34827 35344 37088 37271 37544 38064 39104 41971 42864 44042 44652 45201 45872 46208 46436 47424 48373 50752 50901 53016 54473 55632 56316 57152 57434 58656 59536 60268 66063 67868 68808 69312 69654 70688 70699 74176 74542 75088 76128 78208 83942 85728 86151 88084 89304 90402 91744 92872 94848 96746 101504 101802 103823 106032 108946 111264 111813 112632 114304 114868 117312 119072 120536 125913 132126 134749 135736 137616 138624 139308 141376 141398 145119 148352 149084 150176 152256 163419 167884 171456 172302 174887 176168 178608 180804 183488 185744 193492 203604 207646 212064 212097 217892 220571 222528 223626 225264 226981 229736 234624 238144 241072 251826 264252 269498 271472 275232 278616 282752 282796 286273 290238 298168 300352 304512 311469 326838 335768 342912 344604 349774 352336 357216 361608 366976 371488 386984 404247 407208 415292 424128 424194 435784 441142 445056 447252 450528 453962 459472 476288 482144 503652 524661 528504 538996 542944 545623 550464 557232 565592 572546 580476 596336 600704 622938 653676 661713 671536 680943 689208 699548 704672 708149 714432 723216 742976 773968 797449 808494 814416 830584 848256 848388 858819 871568 882284 894504 901056 907924 918944 919087 964288 1007304 1034987 1049322 1057008 1077992 1085888 1091246 1100928 1114464 1131184 1145092 1160952 1192672 1245876 1307352 1323426 1343072 1343281 1349699 1361886 1378416 1399096 1409344 1416298 1428864 1446432 1485952 1547936 1594898 1616988 1628832 1636869 1661168 1696776 1717638 1743136 1751737 1764568 1789008 1802112 1815848 1837888 1838174 1928576 1972637 2014608 2069974 2098644 2114016 2124447 2155984 2171776 2182492 2228928 2262368 2273531 2290184 2321904 2385344 2392347 2491752 2560231 2614704 2646852 2686144 2686562 2699398 2723772 2756832 2757261 2798192 2818688 2832596 2892864 2950753 3095872 3104961 3189796 3233976 3257664 3273738 3322336 3322853 3393552 3435276 3486272 3503474 3529136 3578016 3631696 3675776 3676348 3945274 4029216 4029843 4049097 4139948 4197288 4228032 4248894 4311968 4312639 4364984 4457856 4524736 4547062 4580368 4643808 4770688 4784694 4983504 5120462 5229408 5255211 5293704 5372288 5373124 5398796 5447544 5513664 5514522 5596384 5665192 5785728 5901506 5917911 6191744 6209922 6333203 6379592 6467952 6515328 6547476 6644672 6645706 6787104 6820593 6870552 6972544 7006948 7058272 7156032 7263392 7352696 7680693 7890548 8058432 8059686 8098194 8219689 8279896 8394576 8456064 8497788 8623936 8625278 8729968 8852259 9049472 9094124 9160736 9287616 9569388 9967008 9968559 10240924 10366837 10458816 10510422 10587408 10668107 10746248 10797592 10895088 11027328 11029044 11192768 11330384 11803012 11835822 12419844 12666406 12759184 12935904 12937917 13094952 13289344 13291412 13454831 13574208 13641186 13741104 14013896 14116544 14312064 14526784 14705392 15361386 15781096 16116864 16119372 16196388 16439378 16559792 16789152 16995576 17247872 17250556 17459936 17462653 17704518 18188248 18321472 18575232 18999609 19138776 19934016 19937118 20481848 20733674 20917632 21020844 21174816 21336214 21492496 21595184 21790176 22058088 22385536 22660768 23606024 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617200007632 625748484192 642845437312 704657498592 713321320296 724023085876 739427832384 743076324978 754107147616 763378956808 779621062272 801046818416 834331312256 836780779578 877933932672 895502237794 914555476896 919068086157 925800011448 939543331456 951095093728 964268155968 990768433304 1011848612736 1086034628814 1115707706104 1131160721424 1139446167936 1145068435212 1201570227624 1219407302528 1225424114876 1234400015264 1251496968384 1343253356691 1409314997184 1426642640592 1448046171752 1478855664768 1486152649956 1508214295232 1526757913616 1602093636832 1673561559156 1791004475588 1813025022419 1829110953792 1838136172314 1851600022896 1902190187456 1928536311936 1981536866608 2172069257628 2231415412208 2262321442848 2290136870424 2353075029097 2403140455248 2450848229752 2468800030528 2502993936768 2686506713382 2818629994368 2853285281184 2896092343504 2972305299912 3016428590464 3053515827232 3204187273664 3347123118312 3582008951176 3626050044838 3658221907584 3676272344628 3703200045792 3804380374912 3963073733216 4344138515256 4462830824416 4524642885696 4580273740848 4706150058194 4806280910496 4901696459504 4937600061056 5373013426764 5439075067257 5706570562368 5792184687008 5820764545661 5944610599824 6107031654464 6408374547328 6694246236624 7059225087291 7164017902352 7252100089676 7352544689256 7406400091584 7926147466432 8507271259043 8688277030512 8925661648832 9049285771392 9160547481696 9412300116388 9612561820992 9803392919008 10746026853528 10878150134514 11413141124736 11584369374016 11641529091322 11889221199648 12214063308928 13388492473248 14118450174582 14328035804704 14504200179352 14705089378512 14812800183168 15852294932864 17014542518086 17376554061024 17462293636983 17851323297664 18321094963392 18824600232776 19225123641984 19606785838016 21492053707056 21756300269028 23168738748032 23283058182644 23778442399296 25521813777129 26776984946496 28236900349164 28656071609408 29008400358704 29410178757024 34029085036172 34753108122048 34924587273966 36642189926784 37649200465552 39213571676032 42984107414112 43512600538056 46566116365288 47556884798592 51043627554258 53553969892992 56473800698328 57312143218816 58016800717408 58820357514048 68058170072344 69506216244096 69849174547932 75298400931104 85968214828224 87025201076112 93132232730576 102087255108516 110594526367559 112947601396656 116033601434816 117640715028096 136116340144688 139698349095864 150596801862208 171936429656448 174050402152224 186264465461152 204174510217032 221189052735118 225895202793312 232067202869632 272232680289376 279396698191728 301193603724416 331783579102677 348100804304448 372528930922304 408349020434064 442378105470236 451790405586624 544465360578752 558793396383456 663567158205354 696201608608896 745057861844608 816698040868128 884756210940472 903580811173248 1088930721157504 1117586792766912 1327134316410708 1633396081736256 1769512421880944 2235173585533824 2654268632821416 3266792163472512 3539024843761888 5308537265642832 7078049687523776 10617074531285664 14156099375047552 21234149062571328 42468298125142656
- Sum of all divisors σ(n): 133184827475481600
- Sum of proper divisors (its aliquot sum) s(n): 90716529350338944
- 42468298125142656 is an abundant number, because the sum of its proper divisors (90716529350338944) is greater than itself. Its abundance is 48248231225196288
Bases of 42468298125142656
- Binary: 100101101110000010110001001011111111011011101010100000002
- Hexadecimal: 0x96E0B12FF6EA80
- Base-36: BM5R6TOQUTC
Squares and roots of 42468298125142656
- 42468298125142656 squared (424682981251426562) is 1803556345645995230699660350734336
- 42468298125142656 cubed (424682981251426563) is 76593968572386959303725803206858534668914357436416
-
The
square root of 42468298125142656 is 206078378.5969373741 -
The
cube root of 42468298125142656 is 348889.8104670349
Scales and comparisons
How big is 42468298125142656?- 42,468,298,125,142,656 seconds is equal to 1,350,360,517 years, 16 weeks, 6 hours, 17 minutes, 36 seconds.
-
To count from 1 to 42,468,298,125,142,656 would take you about four billion, fifty-one million, eighty-one thousand, five hundred fifty-one 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 42468298125142656 cubic inches would be around 29074.2 feet tall.
Recreational maths with 42468298125142656
- 42468298125142656 backwards is 65624152189286424
- The number of decimal digits it has is: 17
- The sum of 42468298125142656's digits is 75
- More coming soon!
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"Number 42468298125142656 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42468298125142656 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42468298125142656/
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The information we have on file for 42468298125142656 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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