13138523463892975126407
13,138,523,463,892,975,126,407 is an odd composite number composed of five prime numbers multiplied together.
13138523463892975126407 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13138523463892975126407:
35 × 113 × 133 × 313 × 8533
(3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 31 × 31 × 31 × 853 × 853 × 853)See below for interesting mathematical facts about the number 13138523463892975126407 from the Numbermatics database.
Names of 13138523463892975126407
- Cardinal: 13138523463892975126407 can be written as Thirteen sextillion, one hundred thirty-eight quintillion, five hundred twenty-three quadrillion, four hundred sixty-three trillion, eight hundred ninety-two billion, nine hundred seventy-five million, one hundred twenty-six thousand, four hundred seven.
Scientific notation
- Scientific notation: 1.3138523463892975126407 × 1022
Factors of 13138523463892975126407
Divisors of 13138523463892975126407
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 9 11 13 27 31 33 39 81 93 99 117 121 143 169 243 279 297 341 351 363 403 429 507 837 853 891 961 1023 1053 1089 1209 1287 1331 1521 1573 1859 2197 2511 2559 2673 2883 3069 3159 3267 3627 3751 3861 3993 4433 4563 4719 5239 5577 6591 7533 7677 8649 9207 9383 9801 10571 10881 11089 11253 11583 11979 12493 13299 13689 14157 15717 16731 17303 19773 20449 23031 24167 25947 26443 27621 28149 29403 29791 31713 32643 33267 33759 34749 35937 37479 39897 41067 41261 42471 47151 48763 50193 51909 57629 59319 61347 68107 69093 72501 77841 79329 82863 84447 89373 95139 97929 99801 101277 103213 107811 112437 116281 119691 121979 123783 127413 137423 141453 144157 146289 150579 155727 162409 172887 177957 184041 204321 207279 217503 224939 233523 237987 253341 265837 268119 285417 290873 299403 303831 309639 323433 327701 337311 343759 348843 359073 365937 371349 382239 387283 412269 424359 432471 438867 451737 467181 487227 518661 533871 536393 552123 612963 633919 652509 674817 713961 727609 749177 760023 797511 804357 819733 856251 872619 898209 911493 928917 983103 1011933 1031277 1046529 1077219 1097811 1114047 1135343 1161849 1236807 1273077 1279091 1297413 1316601 1341769 1401543 1461681 1511653 1555983 1585727 1609179 1656369 1786499 1838889 1874041 1901757 1957527 2024451 2111317 2141883 2182827 2247531 2280069 2392533 2413071 2459199 2568753 2617857 2694627 2786751 2924207 2949309 3035799 3093831 3139587 3199603 3293433 3342141 3406029 3485547 3604711 3710421 3781349 3837273 3892239 3949803 4025307 4204629 4260113 4385043 4468867 4534959 4667949 4757181 4827537 4969107 5034679 5359497 5516667 5622123 5705271 5872581 6073353 6333951 6425649 6548481 6742593 6973109 7177599 7239213 7377597 7853571 8003699 8240947 8360253 8772621 8847927 9017063 9281493 9418761 9458917 9598809 9880299 10026423 10218087 10456641 10656529 10814133 11131263 11344047 11511819 11676717 11849409 12075921 12780339 13155129 13406601 13604877 14003847 14271543 14482611 14759459 15104037 16078491 16550001 16628183 16866369 17115813 17442997 18220059 19001853 19645443 19651489 20227779 20614451 20919327 21532797 22132791 22555879 23224487 23560713 24011097 24722841 25080759 25411723 26317863 26543781 27051189 27844479 28256283 28376751 28796427 29640897 30654261 31369923 31969587 32442399 33393789 34032141 34535457 35030151 35195633 36227763 38341017 39465387 39651821 40219803 40814631 41594839 42814629 43447833 44278377 45312111 46861243 48235473 49157537 49884549 50599107 51347439 52328991 54660177 55381469 57005559 58095271 58936329 58954467 60683337 61843353 62757981 64598391 65450827 66398373 67667637 69673461 70682139 72033291 74168523 76235169 78953589 79631343 81153567 83533437 85130253 86389281 88040689 90650417 91962783 94109769 95908761 97327197 99187693 102096423 103606371 104048087 105586899 108683289 115023051 117221819 118955463 120659409 122443893 122965921 124784517 128443887 130343499 132835131 135936333 138534877 140583729 144706419 147472611 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1134293660009753529 1167557403705054219 1184824913327890263 1207473896139415047 1242883687815057717 1340528870920617807 1400247624842052129 1427014604528399601 1519080062885070543 1711413763695841491 1744128961090266179 1993403651023057977 2355840678481795791 2507830399674169713 2784175347296667753 2879360829255528189 2963799563251291479 3290389046805152799 3402880980029260587 3502672211115162657 3622421688418245141 4021586612761853421 4159076753369096273 4281043813585198803 4557240188655211629 4915272526708931959 5134241291087524473 5232386883270798537 5980210953069173931 7067522035445387373 8352526041890003259 8638082487766584567 9871167140415458397 10208642940087781761 10867265065254735423 12064759838285560263 12477230260107288819 12843131440755596409 13671720565965634887 14745817580126795877 15402723873262573419 15697160649812395611 25914247463299753701 30625928820263345283 32601795195764206269 36194279514856680789 37431690780321866457 38529394322266789227 44237452740380387631 47091481949437186833 54067997793798251549 77742742389899261103 91877786460790035849 108582838544570042367 112295072340965599371 132712358221141162893 141274445848311560499 162203993381394754647 336885217022896798113 398137074663423488679 423823337544934681497 486611980144184263941 1010655651068690394339 1194411223990270466037 1459835940432552791823 4379507821297658375469 13138523463892975126407
- Sum of all divisors σ(n): 24260569850647715020800
- Sum of proper divisors (its aliquot sum) s(n): 11122046386754739894393
- 13138523463892975126407 is a deficient number, because the sum of its proper divisors (11122046386754739894393) is less than itself. Its deficiency is 2016477077138235232014
Bases of 13138523463892975126407
- Binary: 101100100000111101101001000000011110000111101010111000111010000111100001112
- Hexadecimal: 0x2C83DA40787AB8E8787
- Base-36: 250SCAYBZI285FR
Squares and roots of 13138523463892975126407
- 13138523463892975126407 squared (131385234638929751264072) is 172620798811266261670144925351263597628729649
- 13138523463892975126407 cubed (131385234638929751264073) is 2267982415537770367332464473688592297796409846239946930770603741143
-
The
square root of 13138523463892975126407 is 114623398413.6440404397 -
The
cube root of 13138523463892975126407 is 23596568.6526404837
Scales and comparisons
How big is 13138523463892975126407?- 13,138,523,463,892,975,126,407 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,138,523,463,892,975,126,407 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13138523463892975126407 cubic inches would be around 1966380.7 feet tall.
Recreational maths with 13138523463892975126407
- 13138523463892975126407 backwards is 70462157929836432583131
- 13138523463892975126407 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13138523463892975126407's digits is 99
- More coming soon!
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The information we have on file for 13138523463892975126407 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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