137117312395583481
137,117,312,395,583,481 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137117312395583481 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 896 divisors.
137117312395583481 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137117312395583481:
36 × 133 × 233 × 31 × 613
(3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 23 × 23 × 23 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 137117312395583481 from the Numbermatics database.
Names of 137117312395583481
- Cardinal: 137117312395583481 can be written as One hundred thirty-seven quadrillion, one hundred seventeen trillion, three hundred twelve billion, three hundred ninety-five million, five hundred eighty-three thousand, four hundred eighty-one.
Scientific notation
- Scientific notation: 1.37117312395583481 × 1017
Factors of 137117312395583481
Divisors of 137117312395583481
- Number of divisors d(n): 896
-
Complete list of divisors:
1 3 9 13 23 27 31 39 61 69 81 93 117 169 183 207 243 279 299 351 403 507 529 549 621 713 729 793 837 897 1053 1209 1403 1521 1587 1647 1863 1891 2139 2197 2379 2511 2691 3159 3627 3721 3887 4209 4563 4761 4941 5239 5589 5673 6417 6591 6877 7137 7533 8073 9269 9477 10309 10881 11163 11661 12167 12627 13689 14283 14823 15717 16399 16767 17019 18239 19251 19773 20631 21411 22599 24219 24583 27807 30927 32269 32643 33489 34983 36501 37881 41067 42849 43493 44469 47151 48373 49197 50531 51057 54717 57753 59319 61893 64233 68107 72657 73749 83421 85583 89401 92781 96807 97929 100467 104949 109503 113643 115351 120497 123201 128547 130479 134017 141453 145119 147591 151593 153171 158171 164151 173259 177957 185679 192699 204321 213187 217971 221247 226981 237107 250263 256749 268203 278343 290421 293787 301401 314847 319579 328509 340929 346053 361491 377177 385641 391437 402051 419497 424359 435357 442773 454779 459513 474513 492453 519777 533871 557037 565409 578097 612963 628849 639561 663741 680943 711321 742187 750789 770247 804609 835029 871263 904203 944541 958737 985527 1000339 1022787 1038159 1084473 1112579 1131531 1162213 1174311 1206153 1258491 1273077 1306071 1328319 1364337 1378539 1423539 1477359 1499563 1566461 1601613 1671111 1696227 1838889 1886547 1918683 1968409 1991223 2042829 2056223 2133963 2226561 2252367 2310741 2413827 2505087 2613789 2653073 2712609 2771431 2833623 2876211 2950753 2956581 3001017 3082391 3114477 3253419 3337737 3394593 3486639 3522933 3618459 3775473 3819231 3918213 3984957 4093011 4154527 4270617 4432077 4498689 4699383 4903301 5013333 5088681 5220563 5453461 5516667 5659641 5756049 5905227 5973669 6128487 6168669 6401889 6679683 6757101 6932223 7036411 7241481 7350317 7515261 7841367 7959219 8175037 8314293 8628633 8852259 8869743 9003051 9247173 9343431 9648431 9760257 10013211 10183779 10459917 10568799 10855377 11326419 11754639 11954871 12279033 12463581 12811851 13004407 13296231 13496067 14098149 14463527 14709903 15266043 15661689 16360383 16550001 16978923 17268147 17715681 17921007 18385461 18506007 19205667 19494319 20039049 20796669 21109233 21724443 22050951 23007797 23524101 23877657 24525111 24942879 25589317 25885899 26556777 26730899 27009153 27741519 28030293 28945293 29280771 30039633 30551337 31379751 31706397 32566131 33979257 34489949 35263917 36028603 36837099 37390743 38359789 38435553 39013221 40488201 42294447 43390581 44129709 45273407 45798129 46985067 49081149 49650003 50936769 51804441 53147043 55156383 55518021 57617001 58482957 60117147 61020679 62390007 63327699 63742913 65173329 66152853 67867319 69023391 70894993 71632971 73575333 74828637 76767951 77657697 79670331 80192697 81027459 83224557 84090879 86835879 87842313 90118899 91473343 91654011 94139253 95554121 97698393 101937771 103469847 108085809 112172229 115079367 115306659 117039663 120072949 121464603 125429603 126883341 130171743 132389127 135820221 137394387 140955201 147243447 152810307 155413323 159441129 161837453 165469149 166554063 169057291 172851003 175448871 180351441 183062037 188025851 189983097 191228739 198458559 203601957 207070173 212684979 214898913 220725999 224485911 230303853 232973091 239010993 240578091 243082377 249673671 253426147 260507637 270356697 274420029 274962033 282417759 286662363 299101361 305813313 310409541 324257427 332661121 336516687 345238101 351118989 360218847 364393809 376288809 380650023 390515229 397167381 407460663 412183161 422865603 441730341 448369337 458430921 478323387 485512359 498677257 499662189 507171873 526346613 541054323 549186111 564077553 569949291 573686217 588554291 595375677 610805871 621210519 638054937 644696739 662177997 673457733 690911559 717032979 721734273 729247131 749021013 760278441 781522911 793268827 811070091 823260087 828657869 847253277 859987089 882275147 897304083 931228623 972772281 997983363 1009550061 1035714303 1053356967 1080656541 1093181427 1128866427 1141950069 1171545687 1189153459 1191502143 1222381989 1268596809 1325191023 1345108011 1403475617 1434970161 1456537077 1496031771 1498986567 1521515619 1560948337 1579039839 1630584839 1647558333 1692232659 1709847873 1721058651 1765662873 1786127031 1832417613 1863631557 1914164811 1934090217 1986533991 2020373199 2072734677 2103886889 2151098937 2165202819 2197744783 2247063039 2280835323 2344568733 2379806481 2469780261 2485973607 2579961267 2646825441 2691912249 2761677827 2793685869 2918316843 2993950089 3028650183 3107142909 3160070901 3241969623 3386599281 3514637061 3567460377 3574506429 3667145967 3722261419 3805790427 3888317693 3975573069 4035324033 4210426851 4324594573 4369611231 4488095313 4564546857 4682845011 4737119517 4891754517 4942674999 5076697977 5129543619 5163175953 5296988619 5358381093 5497252839 5590894671 5742494433 5828801381 5959601973 6218204031 6311660667 6495608457 6593234349 6842505969 7033706199 7139419443 7409340783 7457920821 7651205783 7739883801 7940476323 8075736747 8285033481 8381057607 8754950529 8981850267 9321428727 9480212703 9725908869 10159797843 10312494751 10543911183 10702381131 11001437901 11166784257 11469576911 11664953079 12105972099 12631280553 12973783719 13108833693 13464285939 13693640571 14048535033 14211358551 14675263551 14828024997 15230093931 15458994967 15489527859 15890965857 16491758517 16772684013 17227483299 17486404143 18245183021 18654612093 18934982001 19486825371 19779703047 20292328381 20527517907 21418258329 22228022349 22373762463 22953617349 23219651403 23821428969 24227210241 24855100443 25143172821 26264851587 26945550801 27350529557 27964286181 29177726607 30479393529 30937484253 32107143393 33004313703 33500352771 34408730733 34994859237 35901811751 36317916297 37893841659 38921351157 39326501079 40392857817 41080921713 42145605099 44025790653 44484074991 45690281793 46376984901 46468583577 47672897571 48389398447 49475275551 50548130009 51682449897 52459212429 54735549063 56804946003 59339109141 60876985143 61582553721 64254774987 66684067047 67121287389 68860852047 69658954209 71464286907 72681630723 74565301329 80836652403 82051588671 85612012637 87533179821 91438180587 92812452759 96321430179 99465675179 100501058313 103226192199 104984577711 107705435253 108953748891 113681524977 116764053471 117979503237 121178573451 123242765139 126436815297 132077371959 134062431763 137070845379 139130954703 143018692713 145168195341 151644390027 157377637287 164206647189 170414838009 178017327423 182630955429 184747661163 192764324961 201363862167 206582556141 214392860721 218044892169 223695903987 237187379273 242509957209 246154766013 256836037911 263800268953 278437358277 288964290537 298397025537 301503174939 309678576597 314953733133 323116305759 326861246673 341044574931 350292160413 355556884241 363535720353 379310445891 396232115877 402187295289 417392864109 429056078139 435504586023 454933170081 466723552763 472132911861 492619941567 511244514027 534051982269 547892866287 578292974883 604091586501 619747668423 629062179811 643178582163 671087711961 711562137819 738464298039 770508113733 791400806859 835312074831 866892871611 895191076611 904509524817 929035729791 944861199399 969348917277 1023133724793 1050876481239 1066670652723 1112956164281 1137931337673 1188696347631 1206561885867 1252178592327 1306513758069 1364799510243 1400170658289 1416398735583 1477859824701 1533733542081 1602155946807 1643678598861 1859243005269 1887186539433 2013263135883 2134686413457 2215392894117 2311524341199 2374202420577 2505936224493 2685573229833 2713528574451 2787107189373 2834583598197 2908046751831 3083435930549 3152629443717 3200011958169 3338868492843 3619685657601 3756535776981 3919541274207 4094398530729 4200511974867 4249196206749 4433579474103 4931035796583 5577729015807 5661559618299 6067406185919 6404059240371 6646178682351 6934573023597 7122607261731 7517808673479 8056719689499 8177808337543 8361321568119 8724140255493 9250307791647 9600035874507 10016605478529 10859056972803 11269607330943 11758623822621 12283195592187 12601535924601 13300738422309 14468430135653 14793107389749 16984678854897 18202218557757 19212177721113 19938536047053 20803719070791 21367821785193 24170159068497 24533425012629 26172420766479 27750923374941 28800107623521 30049816435587 32577170918409 35275871467863 36849586776561 37804607773803 43405290406959 50954036564691 54606655673271 57636533163339 62411157212373 64103465355579 72510477205491 73600275037887 83252770124823 86400322870563 90149449306761 97731512755227 113413823321409 130215871220877 152862109694073 163819967019813 172909599490017 188089591763489 192310396066737 220800825113661 249758310374469 259200968611689 270448347920283 340241469964227 390647613662631 458586329082219 491459901059439 564268775290467 662402475340983 749274931123407 811345043760849 1171942840987893 1474379703178317 1692806325871401 1987207426022949 2247824793370221 3515828522963679 4423139109534951 5078418977614203 5961622278068847 10547485568891037 15235256932842609 45705770798527827 137117312395583481
- Sum of all divisors σ(n): 244344330695270400
- Sum of proper divisors (its aliquot sum) s(n): 107227018299686919
- 137117312395583481 is a deficient number, because the sum of its proper divisors (107227018299686919) is less than itself. Its deficiency is 29890294095896562
Bases of 137117312395583481
- Binary: 1111001110010001101111000000110011110010100011111111110012
- Hexadecimal: 0x1E7237819E51FF9
- Base-36: 11I413PS8IK9
Squares and roots of 137117312395583481
- 137117312395583481 squared (1371173123955834812) is 18801157358588031329132434440077361
- 137117312395583481 cubed (1371173123955834813) is 2577964166936038245961445380554897938183720373673641
-
The
square root of 137117312395583481 is 370293548.9521569845 -
The
cube root of 137117312395583481 is 515660.7754706995
Scales and comparisons
How big is 137117312395583481?- 137,117,312,395,583,481 seconds is equal to 4,359,906,402 years, 25 weeks, 1 day, 10 hours, 31 minutes, 21 seconds.
-
To count from 1 to 137,117,312,395,583,481 would take you about thirteen billion, seventy-nine million, seven hundred nineteen thousand, two hundred 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 137117312395583481 cubic inches would be around 42971.7 feet tall.
Recreational maths with 137117312395583481
- 137117312395583481 backwards is 184385593213711731
- The number of decimal digits it has is: 18
- The sum of 137117312395583481's digits is 72
- More coming soon!
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"Number 137117312395583481 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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The information we have on file for 137117312395583481 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 137117312395583481, math, Factors of 137117312395583481, curriculum, school, college, exams, university, Prime factorization of 137117312395583481, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred seventeen trillion, three hundred twelve billion, three hundred ninety-five million, five hundred eighty-three thousand, four hundred eighty-one.