137438045403701504
137,438,045,403,701,504 is an even composite number composed of five prime numbers multiplied together.
What does the number 137438045403701504 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
137438045403701504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137438045403701504:
28 × 73 × 113 × 53 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 53 × 281 × 281 × 281)See below for interesting mathematical facts about the number 137438045403701504 from the Numbermatics database.
Names of 137438045403701504
- Cardinal: 137438045403701504 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, forty-five billion, four hundred three million, seven hundred one thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37438045403701504 × 1017
Factors of 137438045403701504
Divisors of 137438045403701504
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 53 56 64 77 88 98 106 112 121 128 154 176 196 212 224 242 256 281 308 343 352 371 392 424 448 484 539 562 583 616 686 704 742 784 847 848 896 968 1078 1124 1166 1232 1331 1372 1408 1484 1568 1694 1696 1792 1936 1967 2156 2248 2332 2464 2597 2662 2744 2816 2968 3091 3136 3388 3392 3773 3872 3934 4081 4312 4496 4664 4928 5194 5324 5488 5929 5936 6182 6272 6413 6776 6784 7546 7744 7868 8162 8624 8992 9317 9328 9856 10388 10648 10976 11858 11872 12364 12544 12826 13552 13568 13769 14893 15092 15488 15736 16324 17248 17984 18179 18634 18656 19712 20776 21296 21637 21952 23716 23744 24728 25652 27104 27538 28567 29786 30184 30976 31472 32648 34001 34496 35968 36358 37268 37312 41503 41552 42592 43274 43904 44891 47432 47488 49456 51304 54208 55076 57134 59572 60368 62944 65219 65296 68002 68992 70543 71936 72716 74536 74624 78961 83006 83104 85184 86548 87808 89782 94864 94976 96383 98912 102608 104251 108416 110152 114268 119144 120736 125888 130438 130592 136004 137984 141086 145432 149072 149248 151459 157922 163823 166012 166208 170368 173096 179564 189728 192766 197824 199969 205216 208502 216832 220304 228536 238007 238288 241472 251776 260876 261184 272008 282172 290864 298144 302918 314237 315844 327646 332024 332416 340736 346192 359128 374011 379456 385532 395648 399938 410432 417004 440608 456533 457072 476014 476576 482944 493801 503552 521752 522368 544016 552727 564344 581728 596288 605836 628474 631688 655292 664048 664832 692384 718256 729757 748022 758912 771064 791296 799876 820864 834008 868571 881216 913066 914144 952028 953152 965888 987602 1043504 1044736 1060213 1088032 1105454 1128688 1146761 1163456 1192576 1211672 1256948 1263376 1310584 1328096 1384768 1436512 1459514 1496044 1517824 1542128 1599752 1641728 1666049 1668016 1737142 1762432 1802053 1826132 1828288 1904056 1906304 1975204 2087008 2120426 2176064 2199659 2210908 2257376 2293522 2326912 2385152 2423344 2513896 2526752 2618077 2621168 2656192 2769536 2873024 2919028 2992088 3084256 3199504 3332098 3336032 3456607 3474284 3524864 3604106 3652264 3656576 3808112 3812608 3869089 3950408 4174016 4184933 4240852 4352128 4399318 4421816 4514752 4587044 4653824 4846688 5027792 5053504 5108299 5236154 5242336 5312384 5539072 5746048 5838056 5984176 6079997 6168512 6399008 6664196 6672064 6913214 6948568 7208212 7304528 7313152 7616224 7738178 7900816 8027327 8348032 8369866 8481704 8704256 8798636 8843632 9029504 9174088 9554281 9693376 10055584 10107008 10216598 10472308 10484672 10624768 11492096 11662343 11676112 11968352 12159994 12337024 12614371 12798016 13328392 13344128 13826428 13897136 14416424 14609056 15232448 15476356 15801632 16054654 16696064 16739732 16963408 17597272 17687264 18059008 18326539 18348176 19108562 19386752 19822583 20111168 20214016 20433196 20944616 20969344 22188041 23324686 23352224 23936704 24196249 24319988 24674048 25228742 25596032 26656784 26688256 27083623 27652856 27794272 28832848 29218112 29294531 30464896 30952712 31603264 32109308 33479464 33926816 35194544 35374528 36653078 36696352 38217124 38773504 39645166 40222336 40866392 41889232 41938688 42559979 44376082 46034263 46649372 46704448 47873408 48392498 48639976 50457484 51192064 53313568 54167246 55305712 55588544 56191289 57665696 58436224 58589062 60929792 61905424 63206528 64218616 66879967 66958928 67853632 70389088 70749056 73306156 73392704 76434248 79290332 80444672 81732784 83778464 85119958 88300597 88752164 92068526 93298744 93408896 95746816 96784996 97279952 100914968 105097091 106627136 108334492 110611424 111177088 112382578 115331392 116872448 117178124 123810848 126413056 128285773 128437232 133759934 133917856 135707264 138758081 140778176 141498112 146612312 146785408 152868496 155316287 158580664 163465568 167556928 170239916 176601194 177504328 184137052 186597488 186817792 193569992 194559904 201829936 205061717 210194182 213254272 216668984 221222848 222354176 224765156 230662784 234356248 244068451 247621696 256571546 256874464 267519868 267835712 271414528 277516162 281556352 293224624 293570816 297919853 305736992 310632574 317161328 322239841 326931136 335113856 340479832 353202388 355008656 368274104 373194976 387139984 389119808 403659872 410123434 420388364 426508544 433337968 442445696 449530312 461325568 468159769 468712496 488136902 495243392 506376893 513143092 513748928 535039736 535671424 555032324 563112704 586449248 595839706 611473984 618104179 621265148 634322656 644479682 653862272 670227712 680959664 706404776 710017312 735679637 736548208 746389952 774279968 778239616 807319744 820246868 840776728 866675936 884891392 899060624 936319538 937424992 971306567 976273804 990486784 1012753786 1026286184 1027497856 1070079472 1071342848 1087214009 1110064648 1172898496 1175966173 1191679412 1222947968 1236208358 1242530296 1268645312 1288959364 1307724544 1361919328 1412809552 1420034624 1435432019 1471359274 1473096416 1492779904 1548559936 1556479232 1614639488 1640493736 1681553456 1708479157 1733351872 1798121248 1872639076 1874849984 1942613134 1952547608 2025507572 2052572368 2054995712 2140158944 2174428018 2220129296 2255678887 2345796992 2351932346 2383358824 2445895936 2472416716 2485060592 2537290624 2577918728 2684752961 2723838656 2825619104 2840069248 2870864038 2942718548 2946192832 2985559808 3097119872 3229278976 3277118383 3280987472 3363106912 3416958314 3466703744 3544638251 3596242496 3745278152 3749699968 3885226268 3905095216 4051015144 4105144736 4280317888 4348856036 4440258592 4511357774 4691593984 4703864692 4766717648 4944833432 4970121184 5074581248 5149757459 5155837456 5369505922 5447677312 5570145823 5651238208 5680138496 5741728076 5885437096 5892385664 6194239744 6554236766 6561974944 6726213824 6799145969 6833916628 6933407488 7089276502 7192484992 7490556304 7499399936 7610498063 7770452536 7810190432 8102030288 8210289472 8231763211 8560635776 8697712072 8880517184 9022715548 9407729384 9533435296 9889666864 9940242368 10299514918 10311674912 10739011844 10895354624 11140291646 11302476416 11483456152 11770874192 11784771328 11959354099 12935627903 13108473532 13123949888 13452427648 13598291938 13667833256 14178553004 14384969984 14981112608 15220996126 15540905072 15620380864 15789752209 16204060576 16420578944 16463526422 17121271552 17395424144 17761034368 18045431096 18793270727 18815458768 19066870592 19779333728 19880484736 20599029836 20623349824 21478023688 22280583292 22604952832 22966912304 23541748384 23918708198 24812467757 25871255806 26216947064 26247899776 26904855296 27196583876 27335666512 28357106008 29532282571 29962225216 30441992252 31081810144 31240761728 31579504418 32408121152 32841157888 32927052844 34790848288 35522068736 36048302213 36090862192 37586541454 37630917536 38133741184 38991020761 39558667456 39760969472 41198059672 41246699648 42956047376 44561166584 45933824608 47083496768 47837416396 49624935514 51742511612 52433894128 52495799552 54393167752 54671333024 56714212016 57622342477 59064565142 59924450432 60883984504 62163620288 62481523456 63159008836 64816242304 65854105688 69581696576 72096604426 72181724384 75173082908 75261835072 76267482368 77982041522 79117334912 82396119344 82493399296 83715478693 85912094752 89122333168 90549395321 91867649216 94166993536 95674832792 99249871028 103485023224 104867788256 108786335504 109342666048 113428424032 115244684954 118129130284 119848900864 121767969008 124327240576 126318017672 129632484608 131552895089 131708211376 139163393152 142291906933 144193208852 144363448768 150346165816 150523670144 155964083044 158234669824 164792238688 167430957386 171824189504 173687274299 178244666336 181098790642 183735298432 188333987072 191349665584 198499742056 206725977997 206970046448 209735576512 217572671008 218685332096 226856848064 230489369908 236258260568 243535938016 248654481152 252636035344 263105790178 263416422752 272937145327 278326786304 284583813866 288386417704 288726897536 300692331632 301047340288 311928166088 329584477376 334861914772 343648379008 347374548598 356489332672 362197581284 367470596864 382699331168 396999484112 403356397339 413451955994 413940092896 419471153024 435145342016 437370664192 453713696128 460978739816 472516521136 487071876032 505272070688 526211580356 526832845504 545874290654 569167627732 576772835408 577453795072 601384663264 623856332176 633845767247 659168954752 669723829544 687296758016 694749097196 712978665344 724395162568 765398662336 793998968224 806712794678 826903911988 827880185792 838942306048 870290684032 907427392256 920870265623 921957479632 945033042272 974143752064 996043348531 1010544141376 1052423160712 1053665691008 1091748581308 1138335255464 1153545670816 1202769326528 1247712664352 1267691534494 1318337909504 1339447659088 1389498194392 1425957330688 1447081845979 1448790325136 1530797324672 1565210976263 1587997936448 1613425589356 1653807823976 1655760371584 1740581368064 1841740531246 1843914959264 1890066084544 1910560017289 1948287504128 1992086697062 2021088282752 2104846321424 2107331382016 2183497162616 2276670510928 2307091341632 2405538653056 2495425328704 2535383068988 2678895318176 2778996388784 2894163691958 2897580650272 3061594649344 3130421952526 3175995872896 3226851178712 3307615647952 3311520743168 3683481062492 3687829918528 3780132169088 3821120034578 3984173394124 4042176565504 4209692642848 4366994325232 4436920370729 4553341021856 4614182683264 4811077306112 4990850657408 5070766137976 5357790636352 5557992777568 5788327383916 5795161300544 6260843905052 6351991745792 6453702357424 6615231295904 6972303439717 7366962124984 7375659837056 7560264338176 7642240069156 7968346788248 8419385285696 8733988650464 8873840741458 9106682043712 9228365366528 9981701314816 10129572921853 10141532275952 10715581272704 10956476833841 11115985555136 11576654767832 11590322601088 12521687810104 12907404714848 13230462591808 13944606879434 14733924249968 14751319674112 15284480138312 15936693576496 16838770571392 17467977300928 17747681482916 18213364087424 20259145843706 20283064551904 21431162545408 21912953667682 22231971110272 23153309535664 23180645202176 25043375620208 25814809429696 26460925183616 27889213758868 29467848499936 30568960276624 31873387152992 33677541142784 34935954601856 35495362965832 36426728174848 40518291687412 40566129103808 43825907335364 44463942220544 46306619071328 48806124078019 50086751240416 51629618859392 52921850367232 55778427517736 58935696999872 61137920553248 63746774305984 69871909203712 70990725931664 76695337836887 81036583374824 81132258207616 87651814670728 92613238142656 97612248156038 100173502480832 103259237718784 111556855035472 117871393999744 122275841106496 127493548611968 141981451863328 153390675673774 162073166749648 162264516415232 175303629341456 185226476285312 195224496312076 200347004961664 223113710070944 235742787999488 244551682212992 254987097223936 283962903726656 306781351347548 324146333499296 350607258682912 370452952570624 390448992624152 400694009923328 446227420141888 489103364425984 536867364858209 567925807453312 613562702695096 648292666998592 701214517365824 780897985248304 892454840283776 1073734729716418 1135851614906624 1227125405390192 1296585333997184 1402429034731648 1561795970496608 1784909680567552 2147469459432836 2454250810780384 2593170667994368 2804858069463296 3123591940993216 4294938918865672 4908501621560768 6247183881986432 8589877837731344 9817003243121536 12494367763972864 17179755675462688 19634006486243072 34359511350925376 68719022701850752 137438045403701504
- Sum of all divisors σ(n): 359818075357977600
- Sum of proper divisors (its aliquot sum) s(n): 222380029954276096
- 137438045403701504 is an abundant number, because the sum of its proper divisors (222380029954276096) is greater than itself. Its abundance is 84941984550574592
Bases of 137438045403701504
- Binary: 1111010000100011100101100100100101110100101100001000000002
- Hexadecimal: 0x1E8472C92E96100
- Base-36: 11L9PYFC6T4W
Squares and roots of 137438045403701504
- 137438045403701504 squared (1374380454037015042) is 18889216324389916109614264331862016
- 137438045403701504 cubed (1374380454037015043) is 2596096970831840927356951209769454059424970979672064
-
The
square root of 137438045403701504 is 370726375.3817652289 -
The
cube root of 137438045403701504 is 516062.5254788009
Scales and comparisons
How big is 137438045403701504?- 137,438,045,403,701,504 seconds is equal to 4,370,104,720 years, 2 weeks, 4 days, 9 hours, 31 minutes, 44 seconds.
-
To count from 1 to 137,438,045,403,701,504 would take you about thirteen billion, one hundred ten million, three hundred fourteen thousand, one hundred sixty 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 137438045403701504 cubic inches would be around 43005.2 feet tall.
Recreational maths with 137438045403701504
- 137438045403701504 backwards is 405107304540834731
- The number of decimal digits it has is: 18
- The sum of 137438045403701504's digits is 59
- More coming soon!
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"Number 137438045403701504 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 137438045403701504 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/137438045403701504/
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The information we have on file for 137438045403701504 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 137438045403701504, math, Factors of 137438045403701504, curriculum, school, college, exams, university, Prime factorization of 137438045403701504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred thirty-eight trillion, forty-five billion, four hundred three million, seven hundred one thousand, five hundred four.