442085135984302104
442,085,135,984,302,104 is an even composite number composed of five prime numbers multiplied together.
What does the number 442085135984302104 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
442085135984302104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 442085135984302104:
23 × 311 × 72 × 732 × 10932
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 73 × 73 × 1093 × 1093)See below for interesting mathematical facts about the number 442085135984302104 from the Numbermatics database.
Names of 442085135984302104
- Cardinal: 442085135984302104 can be written as Four hundred forty-two quadrillion, eighty-five trillion, one hundred thirty-five billion, nine hundred eighty-four million, three hundred two thousand, one hundred four.
Scientific notation
- Scientific notation: 4.42085135984302104 × 1017
Factors of 442085135984302104
Divisors of 442085135984302104
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 73 81 84 98 108 126 146 147 162 168 189 196 216 219 243 252 292 294 324 378 392 438 441 486 504 511 567 584 588 648 657 729 756 876 882 972 1022 1093 1134 1176 1314 1323 1458 1512 1533 1701 1752 1764 1944 1971 2044 2186 2187 2268 2628 2646 2916 3066 3279 3402 3528 3577 3942 3969 4088 4372 4374 4536 4599 5103 5256 5292 5329 5832 5913 6132 6558 6561 6804 7154 7651 7884 7938 8744 8748 9198 9837 10206 10584 10658 10731 11826 11907 12264 13116 13122 13608 13797 14308 15302 15309 15768 15876 15987 17496 17739 18396 19674 19683 20412 21316 21462 22953 23652 23814 26232 26244 27594 28616 29511 30604 30618 31752 31974 32193 35478 35721 36792 37303 39348 39366 40824 41391 42632 42924 45906 45927 47304 47628 47961 52488 53217 53557 55188 59022 59049 61208 61236 63948 64386 68859 70956 71442 74606 78696 78732 79789 82782 85848 88533 91812 91854 95256 95922 96579 106434 107114 107163 110376 111909 118044 118098 122472 124173 127896 128772 137718 137781 141912 142884 143883 149212 157464 159578 159651 160671 165564 177066 177147 183624 183708 191844 193158 206577 212868 214228 214326 223818 236088 236196 239367 248346 257544 261121 265599 275436 275562 285768 287766 289737 298424 319156 319302 321342 321489 331128 335727 354132 354294 367416 372519 383688 386316 413154 413343 425736 428456 428652 431649 447636 472392 478734 478953 482013 496692 522242 531198 550872 551124 558523 575532 579474 619731 638312 638604 642684 642978 671454 708264 708588 718101 745038 772632 783363 796797 826308 826686 857304 863298 869211 895272 957468 957906 964026 964467 993384 1007181 1044484 1062396 1102248 1117046 1117557 1151064 1158948 1194649 1239462 1240029 1277208 1285368 1285956 1294947 1342908 1417176 1436202 1436859 1446039 1490076 1566726 1593594 1652616 1653372 1675569 1726596 1738422 1859193 1914936 1915812 1928052 1928934 2014362 2088968 2124792 2154303 2234092 2235114 2317896 2350089 2389298 2390391 2478924 2480058 2571912 2589894 2607633 2685816 2872404 2873718 2892078 2893401 2980152 3021543 3133452 3187188 3306744 3351138 3352671 3453192 3476844 3583947 3718386 3831624 3856104 3857868 3884841 3909661 4028724 4308606 4310577 4338117 4468184 4470228 4700178 4778596 4780782 4957848 4960116 5026707 5179788 5215266 5577579 5744808 5747436 5784156 5786802 5824597 6043086 6266904 6374376 6462909 6702276 6705342 6953688 7050267 7167894 7171173 7436772 7715736 7769682 7819322 7822899 8057448 8362543 8617212 8621154 8676234 8680203 8940456 9064629 9400356 9557192 9561564 9920232 10053414 10058013 10359576 10430532 10751841 11155158 11494872 11568312 11573604 11649194 11654523 11728983 12086172 12925818 12931731 13014351 13404552 13410684 14100534 14335788 14342346 14873544 15080121 15539364 15638644 15645798 16725086 16732737 17234424 17242308 17352468 17360406 17473791 18129258 18800712 19123128 19388727 20106828 20116026 20861064 21150801 21503682 21513519 22310316 23147208 23298388 23309046 23457966 23468697 24172344 25087629 25851636 25863462 26028702 26821368 27193887 28201068 28671576 28684692 30160242 30174039 31078728 31277288 31291596 32255523 33450172 33465474 34484616 34704936 34720812 34947582 34963569 35186949 36258516 38777454 39043053 40213656 40232052 40772179 42301602 43007364 43027038 44620632 45240363 46596776 46618092 46915932 46937394 50175258 50198211 51703272 51726924 52057404 52421373 54387774 56402136 57369384 58166181 58537801 60320484 60348078 62583192 63452403 64511046 64540557 66900344 66930948 69441624 69895164 69927138 70373898 70406091 72517032 75262887 77554908 78086106 80464104 81544358 81581661 84603204 86014728 86054076 87209377 90480726 90522117 93236184 93831864 93874788 96766569 100350516 100396422 103453848 104114808 104842746 104890707 105560847 108775548 116332362 117075602 117129159 120640968 120696156 122316537 126904806 129022092 129081114 133861896 135721089 139790328 139854276 140747796 140812182 150525774 150594633 155109816 156172212 157264119 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1872543864933 1975199206428 2062676184804 2063619769518 2076804103878 2140050131352 2288722889988 2304399074166 2406455548938 2407556397771 2495583532232 2496725153244 2670176704986 2751493026024 2769072138504 2770338868668 2807531473761 2962798809642 3072532098888 3094014277206 3115206155817 3208607398584 3210075197028 3433084334982 3456598611249 3560235606648 3609683323407 3743375298348 3745087729866 3950398412856 4005265057479 4125352369608 4127239539036 4153608207756 4577445779976 4608798148332 4641021415809 4812911097876 4815112795542 4993450306488 5149626502473 5340353409972 5540677737336 5615062947522 5617631594799 5925597619284 6188028554412 6230412311634 6420150394056 6866168669964 6913197222498 7219366646814 7222669193313 7486750596696 7490175459732 8010530114958 8254479078072 8307216415512 8422594421283 9217596296664 9282042831618 9345618467451 9625822195752 9630225591084 10299253004946 10369795833747 10680706819944 10829049970221 11230125895044 11235263189598 11851195238568 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123591036059352 125307578226843 129948599642652 134823158275176 144189542069244 151606699583094 167076770969124 168221132414118 194922899463978 202142266110792 202234737412764 216284313103866 224294843218824 227410049374641 250615156453686 252331698621177 259897199285304 288379084138488 292384349195967 303213399166188 334153541938248 336442264828236 375922734680529 389845798927956 404469474825528 432568626207732 454820098749282 501230312907372 504663397242354 584768698391934 606426798332376 672884529656472 682230148123923 751845469361058 756995095863531 779691597855912 865137252415464 877153047587901 909640197498564 1002460625814744 1009326794484708 1127768204041587 1169537396783868 1364460296247846 1503690938722116 1513990191727062 1754306095175802 1819280394997128 2018653588969416 2046690444371769 2255536408083174 2339074793567736 2631459142763703 2728920592495692 3007381877444232 3027980383454124 3508612190351604 4093380888743538 4511072816166348 5262918285527406 5457841184991384 6055960766908248 6140071333115307 7017224380703208 7894377428291109 8186761777487076 9022145632332696 10525836571054812 12280142666230614 15788754856582218 16373523554974152 18420213999345921 21051673142109624 24560285332461228 31577509713164436 36840427998691842 49120570664922456 55260641998037763 63155019426328872 73680855997383684 110521283996075526 147361711994767368 221042567992151052 442085135984302104
- Sum of all divisors σ(n): 1467787460634167400
- Sum of proper divisors (its aliquot sum) s(n): 1025702324649865296
- 442085135984302104 is an abundant number, because the sum of its proper divisors (1025702324649865296) is greater than itself. Its abundance is 583617188665563192
Bases of 442085135984302104
- Binary: 110001000101001101000010110110000101101001100011000000110002
- Hexadecimal: 0x6229A16C2D31818
- Base-36: 3CWY3NRL3DI0
Squares and roots of 442085135984302104
- 442085135984302104 squared (4420851359843021042) is 195439267458258883024098711938826816
- 442085135984302104 cubed (4420851359843021043) is 86400795130956767330040838058112609558057314280420864
-
The
square root of 442085135984302104 is 664894830.7697256447 -
The
cube root of 442085135984302104 is 761790.0648493787
Scales and comparisons
How big is 442085135984302104?- 442,085,135,984,302,104 seconds is equal to 14,056,939,865 years, 9 weeks, 6 days, 10 hours, 8 minutes, 24 seconds.
-
To count from 1 to 442,085,135,984,302,104 would take you about forty-two billion, one hundred seventy million, eight hundred nineteen thousand, five hundred ninety-five 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 442085135984302104 cubic inches would be around 63482.5 feet tall.
Recreational maths with 442085135984302104
- 442085135984302104 backwards is 401203489531580244
- 442085135984302104 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 442085135984302104's digits is 63
- More coming soon!
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MLA style:
"Number 442085135984302104 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 442085135984302104 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/442085135984302104/
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Numbermatics. 2024. "Number 442085135984302104 - Facts about the integer". https://numbermatics.com/n/442085135984302104/
The information we have on file for 442085135984302104 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!
Keywords: Divisors of 442085135984302104, math, Factors of 442085135984302104, curriculum, school, college, exams, university, Prime factorization of 442085135984302104, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two quadrillion, eighty-five trillion, one hundred thirty-five billion, nine hundred eighty-four million, three hundred two thousand, one hundred four.