138729153413088
138,729,153,413,088 is an even composite number composed of six prime numbers multiplied together.
What does the number 138729153413088 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138729153413088 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138729153413088:
25 × 32 × 73 × 17 × 612 × 1492
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 17 × 61 × 61 × 149 × 149)See below for interesting mathematical facts about the number 138729153413088 from the Numbermatics database.
Names of 138729153413088
- Cardinal: 138729153413088 can be written as One hundred thirty-eight trillion, seven hundred twenty-nine billion, one hundred fifty-three million, four hundred thirteen thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.38729153413088 × 1014
Factors of 138729153413088
Divisors of 138729153413088
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 61 63 68 72 84 96 98 102 112 119 122 126 136 144 147 149 153 168 183 196 204 224 238 244 252 272 288 294 298 306 336 343 357 366 392 408 427 441 447 476 488 504 544 549 588 596 612 672 686 714 732 784 816 833 854 882 894 952 976 1008 1029 1037 1043 1071 1098 1176 1192 1224 1281 1341 1372 1428 1464 1568 1632 1666 1708 1764 1788 1904 1952 2016 2058 2074 2086 2142 2196 2352 2384 2448 2499 2533 2562 2682 2744 2856 2928 2989 3087 3111 3129 3332 3416 3528 3576 3721 3808 3843 4116 4148 4172 4284 4392 4704 4768 4896 4998 5066 5124 5364 5488 5712 5831 5856 5978 6174 6222 6258 6664 6832 7056 7152 7259 7301 7442 7497 7599 7686 8232 8296 8344 8568 8784 8967 9089 9333 9387 9996 10132 10248 10728 10976 11163 11424 11662 11956 12348 12444 12516 13328 13664 14112 14304 14518 14602 14884 14994 15198 15372 16464 16592 16688 17136 17493 17568 17731 17934 18178 18666 18774 19992 20264 20496 20923 21456 21777 21903 22201 22326 22797 23324 23912 24696 24888 25032 26047 26656 26901 27267 29036 29204 29768 29988 30396 30744 32928 33184 33376 33489 34272 34986 35462 35868 36356 37332 37548 39984 40528 40992 41846 42912 43554 43806 44402 44652 45594 46648 47824 49392 49776 50064 50813 51107 52094 52479 53193 53802 54534 58072 58408 59536 59976 60792 61488 62769 63257 63623 65331 65709 66603 66978 69972 70924 71736 72712 74664 75096 78141 79968 81056 81801 83692 87108 87612 88804 89304 91188 93296 95648 98784 99552 100128 101626 102214 104188 104958 106386 107604 109068 116144 116816 119072 119952 121584 122976 124117 125538 126514 127246 130662 131418 133206 133956 139944 141848 143472 145424 149328 150192 152439 153321 154513 155407 156282 159579 163602 167384 174216 175224 177608 178608 182329 182376 186592 188307 189771 190869 199809 203252 204428 208376 209916 212772 215208 218136 232288 233632 234423 239904 243168 248234 251076 253028 254492 261324 262836 266412 267912 279888 283696 286944 290848 298656 300384 304878 306642 309026 310814 312564 319158 327204 334768 348432 350448 355216 355691 357216 364658 364752 372351 376614 377417 379542 381738 399618 406504 408856 416752 419832 425544 430416 436272 442799 445361 457317 459963 463539 466221 468846 496468 502152 506056 508984 522648 525672 532824 535824 546987 554429 559776 567392 569313 572607 609756 613284 618052 621628 625128 638316 654408 669536 696864 700896 710432 711382 729316 729504 744702 753228 754834 759084 763476 799236 813008 817712 833504 839664 851088 860832 868819 872544 885598 890722 914634 919926 927078 932442 937692 992936 1004304 1012112 1017968 1045296 1051344 1065648 1067073 1071648 1081591 1087849 1093974 1108858 1117053 1132251 1138626 1145214 1219512 1226568 1236104 1243256 1250256 1276303 1276632 1308816 1328397 1336083 1354261 1390617 1398663 1422764 1458632 1489404 1506456 1509668 1518168 1526952 1598472 1626016 1635424 1640961 1663287 1679328 1702176 1737638 1771196 1781444 1829268 1839852 1854156 1864884 1875384 1985872 2008608 2024224 2035936 2090592 2102688 2131296 2134146 2163182 2175698 2187948 2217716 2234106 2264502 2277252 2290428 2439024 2453136 2472208 2486512 2500512 2552606 2553264 2606457 2617632 2641919 2656794 2672166 2708522 2781234 2797326 2845528 2917264 2978808 3012912 3019336 3036336 3053904 3099593 3117527 3196944 3201219 3244773 3263547 3281922 3326574 3396753 3475276 3542392 3562888 3658536 3679704 3708312 3729768 3750768 3828909 3881003 3971744 3985191 4008249 4062783 4268292 4326364 4351396 4375896 4435432 4468212 4529004 4554504 4580856 4878048 4906272 4944416 4973024 4989861 5105212 5106528 5212914 5283838 5313588 5344332 5417044 5562468 5594652 5691056 5834528 5957616 6025824 6038672 6072672 6107808 6199186 6235054 6393888 6402438 6489546 6527094 6563844 6653148 6793506 6950552 7084784 7125776 7317072 7359408 7416624 7459536 7501536 7571137 7614943 7657818 7762006 7819371 7925757 7970382 8016498 8125566 8536584 8652728 8702792 8751792 8870864 8936424 9058008 9109008 9161712 9298779 9352581 9425293 9479827 9734319 9790641 9979722 10210424 10425828 10567676 10627176 10688664 10834088 11124936 11189304 11382112 11486727 11643009 11915232 12077344 12188349 12398372 12470108 12804876 12979092 13054188 13127688 13306296 13587012 13901104 14169568 14251552 14634144 14718816 14833248 14919072 15142274 15229886 15315636 15524012 15638742 15851514 15940764 16032996 16251132 17073168 17305456 17405584 17503584 17741728 17872848 18116016 18218016 18323424 18493433 18597558 18705162 18850586 18959654 19468638 19581282 19959444 20420848 20851656 21135352 21254352 21377328 21668176 21697151 22249872 22378608 22713411 22844829 22973454 23022437 23286018 23777271 24376698 24796744 24940216 25609752 25958184 26108376 26255376 26612592 27167021 27174024 27802208 27896337 28057743 28275879 28439481 30284548 30459772 30631272 31048024 31277484 31703028 31881528 32065992 32502264 34146336 34610912 34811168 34929027 35745696 36232032 36986866 37195116 37410324 37701172 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644628236 652008504 660879368 665763588 678621096 682547544 694308832 726829152 731034528 736717984 743489289 760676588 760872672 776724186 781097436 791724612 796305468 828807732 847967344 869344672 887684784 892682784 897847776 904828128 910063392 923678714 929023046 953963262 966942354 978012756 991319052 1035632248 1041463248 1055632816 1061740624 1090243728 1096551792 1105076976 1117728864 1128099413 1141014882 1156538894 1165086279 1187586918 1194458202 1271951016 1289256472 1304017008 1321758736 1331527176 1357242192 1365095088 1385518071 1393534569 1404368657 1450413531 1486978578 1521353176 1553448372 1562194872 1583449224 1592610936 1657615464 1695934688 1711522323 1734808341 1775369568 1847357428 1858046092 1907926524 1933884708 1956025512 1982638104 2071264496 2082926496 2111265632 2123481248 2180487456 2193103584 2210153952 2256198826 2282029764 2313077788 2330172558 2375173836 2388916404 2543902032 2578512944 2608034016 2643517472 2663054352 2714484384 2730190176 2771036142 2787069138 2808737314 2900827062 2973957156 3042706352 3106896744 3124389744 3166898448 3185221872 3232875499 3315230928 3384298239 3423044646 3469616682 3694714856 3716092184 3815853048 3867769416 3912051024 3965276208 4047886129 4142528992 4156554213 4180603707 4213105971 4512397652 4564059528 4626155576 4660345116 4750347672 4777832808 5087804064 5157025888 5204425023 5326108704 5542072284 5574138276 5617474628 5801654124 5947914312 6085412704 6213793488 6248779488 6333796896 6370443744 6465750998 6630461856 6768596478 6846089292 6939233364 7389429712 7432184368 7631706096 7735538832 7824102048 7896695891 7930552416 8095772258 8313108426 8361207414 8426211942 9024795304 9128119056 9252311152 9320690232 9500695344 9555665616 9698626497 9830580599 10152894717 10408850046 11084144568 11148276552 11234949256 11603308248 11895828624 12143658387 12427586976 12639317913 12931501996 13537192956 13692178584 13878466728 14778859424 14864368736 15263412192 15471077664 15793391782 16191544516 16626216852 16722414828 16852423884 18049590608 18256238112 18504622304 18641380464 19001390688 19111331232 19397252994 19661161198 20305789434 20817700092 22168289136 22296553104 22469898512 23206616496 23690087673 23791657248 24287316774 25278635826 25863003992 27074385912 27384357168 27756933456 28335202903 29095879491 29491741797 31586783564 32383089032 33252433704 33444829656 33704847768 36099181216 36430975161 37282760928 38794505988 39322322396 40611578868 41635400184 44336578272 44593106208 44939797024 46413232992 47380175346 48574633548 50557271652 51726007984 54148771824 54768714336 55513866912 56670405806 58191758982 58983483594 63173567128 64766178064 66504867408 66889659312 67409695536 68814064193 71070263019 72861950322 77589011976 78644644792 81223157736 83270800368 85005608709 88475225391 94760350692 97149267096 101114543304 103452015968 108297543648 113340811612 116383517964 117966967188 126347134256 129532356128 133009734816 133779318624 134819391072 137628128386 142140526038 145723900644 155178023952 157289289584 162446315472 166541600736 170011217418 176950450782 189520701384 194298534192 202229086608 206442192579 226681623224 232767035928 235933934376 252694268512 255016826127 275256256772 284281052076 291447801288 310356047904 314578579168 324892630944 340022434836 353900901564 379041402768 388597068384 404458173216 412884385158 453363246448 465534071856 471867868752 481698449351 510033652254 550512513544 568562104152 582895602576 619326577737 680044869672 707801803128 758082805536 825768770316 906726492896 931068143712 943735737504 963396898702 1020067304508 1101025027088 1137124208304 1165791205152 1238653155474 1360089739344 1415603606256 1445095348053 1651537540632 1926793797404 2040134609016 2202050054176 2274248416608 2477306310948 2720179478688 2831207212512 2890190696106 3303075081264 3853587594808 4080269218032 4335286044159 4954612621896 5780381392212 6606150162528 7707175189616 8160538436064 8670572088318 9909225243792 11560762784424 15414350379232 17341144176636 19818450487584 23121525568848 34682288353272 46243051137696 69364576706544 138729153413088
- Sum of all divisors σ(n): 498597042434400
- Sum of proper divisors (its aliquot sum) s(n): 359867889021312
- 138729153413088 is an abundant number, because the sum of its proper divisors (359867889021312) is greater than itself. Its abundance is 221138735608224
Bases of 138729153413088
- Binary: 111111000101100011001011110100010111111111000002
- Hexadecimal: 0x7E2C65E8BFE0
- Base-36: 1D6BAK27S0
Squares and roots of 138729153413088
- 138729153413088 squared (1387291534130882) is 19245778006712105879569695744
- 138729153413088 cubed (1387291534130883) is 2669950489647398708755714288612511307497472
-
The
square root of 138729153413088 is 11778334.0678165519 -
The
cube root of 138729153413088 is 51767.3474060817
Scales and comparisons
How big is 138729153413088?- 138,729,153,413,088 seconds is equal to 4,411,157 years, 49 weeks, 6 days, 20 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,729,153,413,088 would take you about eleven million, twenty-seven thousand, eight hundred ninety-four 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 138729153413088 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138729153413088
- 138729153413088 backwards is 880314351927831
- 138729153413088 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138729153413088's digits is 63
- More coming soon!
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"Number 138729153413088 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138729153413088 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138729153413088/
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The information we have on file for 138729153413088 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 138729153413088, math, Factors of 138729153413088, curriculum, school, college, exams, university, Prime factorization of 138729153413088, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred twenty-nine billion, one hundred fifty-three million, four hundred thirteen thousand and eighty-eight.