135090746044589016
135,090,746,044,589,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 135090746044589016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
135090746044589016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 135090746044589016:
23 × 33 × 114 × 412 × 714
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 41 × 41 × 71 × 71 × 71 × 71)See below for interesting mathematical facts about the number 135090746044589016 from the Numbermatics database.
Names of 135090746044589016
- Cardinal: 135090746044589016 can be written as One hundred thirty-five quadrillion, ninety trillion, seven hundred forty-six billion, forty-four million, five hundred eighty-nine thousand and sixteen.
Scientific notation
- Scientific notation: 1.35090746044589016 × 1017
Factors of 135090746044589016
Divisors of 135090746044589016
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 71 72 82 88 99 108 121 123 132 142 164 198 213 216 242 246 264 284 297 328 363 369 396 426 451 484 492 568 594 639 726 738 781 792 852 902 968 984 1089 1107 1188 1278 1331 1353 1452 1476 1562 1681 1704 1804 1917 2178 2214 2343 2376 2556 2662 2706 2904 2911 2952 3124 3267 3362 3608 3834 3993 4059 4356 4428 4686 4961 5041 5043 5112 5324 5412 5822 6248 6534 6724 7029 7668 7986 8118 8591 8712 8733 8856 9372 9922 10082 10086 10648 10824 11644 11979 12177 13068 13448 14058 14641 14883 15123 15129 15336 15972 16236 17182 17466 18491 18744 19844 20164 20172 21087 23288 23958 24354 25773 26136 26199 28116 29282 29766 30246 30258 31944 32021 32472 34364 34932 35937 36982 39688 40328 40344 42174 43923 44649 45369 45387 47916 48708 51546 52398 54571 55451 55473 56232 58564 59532 60492 60516 64042 68728 69864 71874 73964 77319 78597 84348 87846 89298 90738 90774 94501 95832 96063 97416 103092 104796 109142 110902 110946 117128 119064 119351 120984 121032 128084 131769 133947 136107 143748 147928 154638 157194 163713 166353 166419 168696 175692 178596 181476 181548 189002 192126 203401 206184 206681 209592 218284 221804 221892 231957 238702 256168 263538 267894 272214 283503 287496 288189 309276 314388 327426 332706 332838 351384 352231 357192 357911 358053 362952 363096 378004 384252 395307 406802 413362 436568 443608 443784 463914 477404 491139 499059 499257 527076 535788 544428 567006 576378 600281 609961 610203 618552 620043 628776 654852 665412 665676 704462 715822 716106 756008 768504 790614 813604 826724 850509 864567 927828 954808 982278 998118 998514 1039511 1054152 1056693 1071576 1073733 1074159 1088856 1134012 1152756 1200562 1219922 1220406 1240086 1309704 1312861 1330824 1331352 1408924 1431644 1432212 1473417 1497177 1581228 1627208 1653448 1701018 1729134 1800843 1829883 1830609 1855656 1860129 1964556 1996236 1997028 2079022 2113386 2147466 2148318 2237411 2268024 2273491 2305512 2401124 2439844 2440812 2480172 2551527 2625722 2817848 2863288 2864424 2946834 2994354 3118533 3162456 3170079 3221199 3222477 3402036 3458268 3601686 3659766 3661218 3720258 3874541 3929112 3937021 3938583 3992472 3994056 4158044 4226772 4294932 4296636 4474822 4546982 4802248 4879688 4881624 4960344 5103054 5251444 5402529 5489649 5491827 5580387 5893668 5988708 6237066 6340158 6442398 6444954 6709571 6712233 6804072 6820473 6916536 7203372 7319532 7322436 7440516 7749082 7874042 7877166 8316088 8453544 8473921 8589864 8593272 8949644 9093964 9355599 9510237 9663597 10206108 10502888 10805058 10979298 10983654 11160774 11623623 11787336 11811063 11815749 11977416 12474132 12680316 12884796 12889908 13419142 13424466 13640946 14406744 14441471 14639064 14644872 14674351 14881032 15498164 15748084 15754332 16207587 16468947 16947842 17899288 18187928 18711198 19020474 19327194 20128713 20136699 20412216 20461419 21610116 21958596 21967308 22321548 23247246 23622126 23631498 24611521 24948264 25008401 25360632 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28130730867 29709980388 30189077028 31441049706 31453523838 31960736478 32489013114 33822947411 33836366553 34299326952 34312935096 34382004393 34866257976 36312198252 36897760812 36912399876 37507641156 39063122362 39708793806 41921399608 41938031784 42614315304 42717035761 43318684152 45115155404 45842672524 47161574559 47180285757 47941104717 51448990428 52945058408 54468297378 55346641218 55368599814 56261461734 58594683543 59419960776 59563190709 60378154056 62882099412 62907047676 63921472956 64978026228 67645894822 67672733106 68764008786 72624396504 72799455311 73795521624 73824799752 75015282312 78126244724 79417587612 81702446067 83019961827 85434071522 90230310808 91685345048 94323149118 94360571514 95882209434 101468842233 101509099659 102897980856 103146013179 108936594756 110693282436 110737199628 112522923468 117189367086 119126381418 124066677361 125764198824 125814095352 126067349441 127842945912 128151107283 129956052456 135291789644 135345466212 137528017572 141484723677 145598910622 156252489448 158835175224 163404892134 166039923654 170868143044 175784050629 178689572127 188646298236 188721143028 191764418868 202937684466 203018199318 206292026358 214847172991 217873189512 218398365933 221386564872 221474399256 225045846936 234378734172 238252762836 248133354722 252134698882 256302214566 270583579288 270690932424 275056035144 282969447354 291197821244 304406526699 304527298977 309438039537 326809784268 332079847308 341736286088 351568101258 357379144254 372052421521 372200032083 377292596472 377442286056 378202048323 383528837736 384453321849 405875368932 406036398636 412584052716 429694345982 436796731866 468757468344 469887393371 476505525672 496266709444 504269397764 512604429132 527352151887 565938894708 582395642488 608813053398 609054597954 618876079074 644541518973 653619568536 655195097799 664159694616 703136202516 714758288508 744104843042 744400064166 756404096646 768906643698 800794008421 811750737864 812072797272 825168105432 859388691964 873593463732 913219580097 939774786742 992533418888 1008538795528 1025208858264 1054704303774 1116157264563 1116600096249 1131877789416 1134606144969 1153359965547 1217626106796 1218109195908 1237752158148 1289083037946 1310390195598 1386740843851 1406272405032 1409662180113 1429516577016 1488209686084 1488800128332 1512808193292 1537813287396 1601588016842 1718777383928 1747186927464 1826439160194 1879549573484 1933624556919 1965585293397 2109408607548 2232314529126 2233200192498 2269212289938 2306719931094 2402382025263 2435252213592 2436218391816 2475504316296 2578166075892 2620780391196 2773481687702 2819324360226 2976419372168 2977600256664 3025616386584 3075626574792 3203176033684 3348471793689 3349800288747 3403818434907 3652878320388 3759099146968 3867249113838 3931170586794 4160222531553 4218817215096 4228986540339 4464629058252 4466400384996 4538424579876 4613439862188 4804764050526 5156332151784 5168761327081 5241560782392 5546963375404 5638648720452 5800873670757 6406352067368 6696943587378 6699600577494 6807636869814 7207146075789 7305756640776 7734498227676 7862341173588 8320445063106 8457973080678 8808734092631 8929258116504 8932800769992 9076849159752 9226879724376 9609528101052 10045415381067 10337522654162 11093926750808 11277297440904 11601747341514 12480667594659 12686959621017 13393887174756 13399201154988 13615273739628 14414292151578 15254149282361 15468996455352 15506283981243 15724682347176 16640890126212 16915946161356 17617468185262 19219056202104 20090830762134 20675045308324 21621438227367 23203494683028 24961335189318 25373919242034 26426202277893 26787774349512 26798402309976 27230547479256 28828584303156 30508298564722 31012567962486 33281780252424 33831892322712 35234936370524 37442002783977 40181661524268 41350090616648 43242876454734 45762447847083 46406989366056 46518851943729 49922670378636 50747838484068 52852404555786 56856374597891 57657168606312 61016597129444 62025135924972 70469872741048 74884005567954 79278606833679 80363323048536 86485752909468 91524895694166 93037703887458 99845340757272 101495676968136 105704809111572 113712749195782 122033194258888 124050271849944 137287343541249 139556555831187 149768011135908 158557213667358 170569123793673 172971505818936 183049791388332 186075407774916 211409618223144 227425498391564 237835820501037 274574687082498 279113111662374 299536022271816 317114427334716 341138247587346 366099582776664 372150815549832 411862030623747 454850996783128 475671641002074 511707371381019 549149374164996 558226223324748 625420120576801 634228854669432 682276495174692 823724061247494 951343282004148 1023414742762038 1098298748329992 1116452446649496 1250840241153602 1364552990349384 1535122114143057 1647448122494988 1876260361730403 1902686564008296 2046829485524076 2501680482307204 3070244228286114 3294896244989976 3752520723460806 4093658971048152 5003360964614408 5628781085191209 6140488456572228 7505041446921612 11257562170382418 12280976913144456 15010082893843224 16886343255573627 22515124340764836 33772686511147254 45030248681529672 67545373022294508 135090746044589016
- Sum of all divisors σ(n): 429132058917045000
- Sum of proper divisors (its aliquot sum) s(n): 294041312872455984
- 135090746044589016 is an abundant number, because the sum of its proper divisors (294041312872455984) is greater than itself. Its abundance is 158950566827866968
Bases of 135090746044589016
- Binary: 1110111111111000001010001010110100110111000100011110110002
- Hexadecimal: 0x1DFF0515A6E23D8
- Base-36: 10Y5O7ZJ8W60
Squares and roots of 135090746044589016
- 135090746044589016 squared (1350907460445890162) is 18249509666883642871680052347848256
- 135090746044589016 cubed (1350907460445890163) is 2465339875847250489261669967133500198858019452356096
-
The
square root of 135090746044589016 is 367546930.3974514437 -
The
cube root of 135090746044589016 is 513107.7016308807
Scales and comparisons
How big is 135090746044589016?- 135,090,746,044,589,016 seconds is equal to 4,295,467,861 years, 5 weeks, 3 days, 3 minutes, 36 seconds.
-
To count from 1 to 135,090,746,044,589,016 would take you about twelve billion, eight hundred eighty-six million, four hundred three thousand, five hundred eighty-three 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 135090746044589016 cubic inches would be around 42759 feet tall.
Recreational maths with 135090746044589016
- 135090746044589016 backwards is 610985440647090531
- 135090746044589016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135090746044589016's digits is 72
- More coming soon!
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"Number 135090746044589016 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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The information we have on file for 135090746044589016 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 135090746044589016, math, Factors of 135090746044589016, curriculum, school, college, exams, university, Prime factorization of 135090746044589016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, ninety trillion, seven hundred forty-six billion, forty-four million, five hundred eighty-nine thousand and sixteen.