138139575817320
138,139,575,817,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138139575817320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138139575817320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138139575817320:
23 × 32 × 5 × 72 × 112 × 612 × 17393
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 61 × 61 × 17393)See below for interesting mathematical facts about the number 138139575817320 from the Numbermatics database.
Names of 138139575817320
- Cardinal: 138139575817320 can be written as One hundred thirty-eight trillion, one hundred thirty-nine billion, five hundred seventy-five million, eight hundred seventeen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3813957581732 × 1014
Factors of 138139575817320
Divisors of 138139575817320
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 28 30 33 35 36 40 42 44 45 49 55 56 60 61 63 66 70 72 77 84 88 90 98 99 105 110 120 121 122 126 132 140 147 154 165 168 180 183 196 198 210 220 231 242 244 245 252 264 280 294 305 308 315 330 360 363 366 385 392 396 420 427 440 441 462 484 488 490 495 504 539 549 588 605 610 616 630 660 671 693 726 732 735 770 792 840 847 854 882 915 924 968 980 990 1078 1089 1098 1155 1176 1210 1220 1260 1281 1320 1342 1386 1452 1464 1470 1540 1617 1694 1708 1764 1815 1830 1848 1960 1980 2013 2135 2156 2178 2196 2205 2310 2420 2440 2520 2541 2562 2684 2695 2745 2772 2904 2940 2989 3080 3234 3355 3388 3416 3465 3528 3630 3660 3721 3843 3960 4026 4235 4270 4312 4356 4392 4410 4620 4697 4840 4851 5082 5124 5368 5390 5445 5490 5544 5880 5929 5978 6039 6405 6468 6710 6776 6930 7260 7320 7381 7442 7623 7686 8052 8085 8470 8540 8712 8820 8967 9240 9394 9702 10065 10164 10248 10780 10890 10980 11163 11858 11956 12078 12705 12810 12936 13420 13860 14091 14520 14762 14884 14945 15246 15372 16104 16170 16940 17080 17393 17640 17787 17934 18605 18788 19215 19404 20130 20328 21560 21780 21960 22143 22326 23485 23716 23912 24156 24255 25410 25620 26047 26840 26901 27720 28182 29524 29645 29768 29890 30195 30492 30744 32340 32879 33489 33880 34786 35574 35868 36905 37210 37576 38115 38430 38808 40260 40931 42273 43560 44286 44652 44835 46970 47432 48312 48510 50820 51240 51667 52094 52179 53361 53802 55815 56364 59048 59290 59780 60390 60984 64680 65758 66429 66978 69572 70455 71148 71736 73810 74420 76230 76860 78141 80520 81862 84546 86965 88572 88935 89304 89670 93940 97020 98637 101640 103334 104188 104358 106722 107604 110715 111630 112728 118580 119560 120780 121751 122793 130235 131516 132858 133956 134505 139144 140910 142296 147620 148840 152460 153720 155001 156282 156537 163724 164395 167445 169092 173930 177144 177870 179340 182329 187880 191323 194040 197274 204655 206668 208376 208716 211365 213444 215208 221430 223260 234423 237160 241560 243502 245586 258335 260470 260895 263032 265716 266805 267912 269010 281820 286517 295240 295911 304920 310002 312564 313074 327448 328790 332145 334890 338184 347860 355740 358680 361669 364658 365253 368379 382646 390705 394548 409310 413336 417432 422730 426888 442860 446520 450241 465003 468846 487004 491172 493185 516670 520940 521790 531432 533610 538020 546987 563640 573034 573969 591822 608755 613965 620004 625128 626148 657580 664290 669780 695720 711480 723338 729316 730506 736758 765292 775005 781410 782685 789096 818620 845460 852257 859551 885720 900482 911645 930006 937692 956615 974008 982344 986370 1033340 1041880 1043580 1060973 1067220 1076040 1085007 1093974 1095759 1146068 1147938 1172115 1183644 1217510 1227930 1240008 1252296 1315160 1328580 1339261 1339560 1350723 1432585 1446676 1458632 1461012 1473516 1479555 1530584 1550010 1562820 1565370 1637240 1640961 1690920 1704514 1719102 1721907 1800964 1808345 1823290 1826265 1841895 1860012 1875384 1913230 1972740 2005619 2066680 2087160 2104553 2121946 2134440 2170014 2187948 2191518 2251205 2292136 2295876 2325015 2344230 2367288 2435020 2455860 2556771 2578653 2657160 2678522 2701446 2734935 2865170 2869845 2893352 2922024 2947032 2959110 3100020 3125640 3130740 3151687 3182919 3255021 3281922 3409028 3438204 3443814 3601928 3616690 3646580 3652530 3683790 3720024 3826460 3945480 4011238 4017783 4052169 4209106 4243892 4261285 4297755 4340028 4375896 4383036 4502410 4591752 4650030 4688460 4870040 4911720 5113542 5157306 5304865 5357044 5402892 5425035 5469870 5478795 5730340 5739690 5918220 6016857 6200040 6261480 6303374 6313659 6365838 6510042 6563844 6696305 6753615 6818056 6876408 6887628 7233380 7293160 7305060 7367580 7426811 7652920 7670313 8022476 8035566 8104338 8204805 8418212 8487784 8522570 8595510 8609535 8680056 8766072 9004820 9300060 9374827 9376920 9455061 9548757 10028095 10227084 10314612 10522765 10609730 10714088 10805784 10850070 10939740 10957590 11460680 11479380 11670703 11836440 12033714 12053349 12606748 12627318 12731676 12783855 12893265 13020084 13127688 13392610 13507230 13775256 14466760 14610120 14731871 14735160 14853622 15340626 15758435 15914595 16044952 16071132 16208676 16275105 16409610 16836424 17045140 17191020 17219070 18009640 18050571 18600120 18749654 18910122 18940977 19097514 20056190 20088915 20260845 20454168 20629224 21045530 21219460 21700140 21879480 21915180 22061809 22280433 22958760 23341406 24067428 24106698 25213496 25254636 25463352 25567710 25786530 26040168 26785220 27014460 28124481 28365183 29463742 29707244 30084285 30681252 31516870 31568295 31829190 32142264 32417352 32550210 32819220 34090280 34382040 34438140 35012109 36101142 37134055 37499308 37820244 37881954 38195028 38351565 40112380 40177830 40521690 42091060 42438920 43400280 43830360 44123618 44195613 44560866 46682812 46874135 47275305 47743785 48134856 48213396 50509272 51135420 51573060 51987677 53570440 54028920 56248962 56730366 58353515 58927484 59414488 60168570 60266745 61362504 63033740 63136590 63658380 64719353 65100420 65638440 66185427 66841299 68876280 70024218 72202284 73659355 74268110 74998616 75640488 75763908 76390056 76703130 80224760 80355660 81043380 81694921 84182120 84373443 88247236 88391226 89121732 90252855 93365624 93748270 94550610 94704885 95487570 96426792 102270840 103123097 103146120 103975354 105036327 110309045 111402165 112497924 113460732 116707030 117854968 120337140 120533490 126067480 126273180 127316760 128377733 129438706 130200840 132370854 132586839 133682598 140048436 140622405 141825915 144404568 147318710 148536220 151527816 153406260 155963031 160711320 162086760 163389842 168746886 175060545 176494472 176782452 178243464 180505710 187496540 189101220 189409770 190975140 194158059 198556281 206246194 207950708 210072654 220618090 220978065 222804330 224995848 226921464 233414060 240674280 241066980 245084763 252546360 256755466 258877412 259938385 264741708 265173678 267365196 280096872 281244810 283651830 294637420 297072440 306812520 309369291 311926062 323596765 326779684 330927135 334206495 337493772 350121090 353564904 361011420 374993080 378202440 378819540 381950280 385133199 388316118 397112562 408474605 412492388 415901416 420145308 421867215 441236180 441956130 445608660 453035471 466828120 467889093 482133960 490169526 513510932 515615485 517754824 519876770 525181635 529483416 530347356 534730392 562489620 567303660 571864447 582474177 589274840 618738582 623852124 641888665 647193530 653559368 661854270 662934195 668412990 674987544 700242180 711912883 722022840 735254289 757639080 770266398 776632236 779815155 794225124 816949210 824984776 840290616 843734430 882472360 883912260 891217320 898644131 906070942 928107873 935778186 970790295 980339052 992781405 1027021864 1031230970 1039753540 1050363270 1060694712 1124979240 1134607320 1143728894 1155399597 1164948354 1225423815 1237477164 1247704248 1283777330 1294387060 1323708540 1325868390 1336825980 1359106413 1400484360 1423825766 1470508578 1540532796 1546846455 1553264472 1559630310 1588450248 1633898420 1687468860 1715593341 1767824520 1797288262 1812141884 1856215746 1871556372 1925665995 1941580590 1960678104 1985562810 2062461940 2079507080 2100726540 2135738649 2265177355 2287457788 2310799194 2329896708 2339445465 2450847630 2474954328 2567554660 2588774120 2647417080 2651736780 2673651960 2695932393 2718212826 2847651532 2859322235 2912370885 2941017156 3081065592 3093692910 3119260620 3171248297 3267796840 3374937720 3431186682 3559564415 3594576524 3624283768 3676271445 3712431492 3743112744 3851331990 3883161180 3971125620 4077319239 4124923880 4201453080 4271477298 4493220655 4530354710 4574915576 4621598388 4640539365 4659793416 4678890930 4901695260 4983390181 5135109320 5146780023 5303473560 5391864786 5436425652 5695303064 5718644470 5776997985 5824741770 5882034312 6187385820 6238521240 6290508917 6342496594 6407215947 6795532065 6862373364 7119128830 7189153048 7352542890 7424862984 7702663980 7766322360 7831041713 7942251240 8087797179 8154638478 8542954596 8577966705 8986441310 9060709420 9243196776 9281078730 9357781860 9513744891 9803390520 9966780362 10293560046 10678693245 10783729572 10872851304 11437288940 11553995970 11649483540 12374771640 12581017834 12684993188 12814431894 13479661965 13591064130 13724746728 14238257660 14705085780 14950170543 15405327960 15662083426 15856241485 16175594358 16309276956 17085909192 17155933410 17972882620 18121418840 18562157460 18715563720 18871526751 19027489782 19933560724 20386596195 20587120092 21357386490 21567459144 22874577880 23107991940 23298967080 23493125139 24916950905 25162035668 25369986376 25628863788 25733900115 26959323930 27182128260 28476515320 28541234673 29410171560 29900341086 31324166852 31452544585 31712482970 32036079735 32351188716 32618553912 34311866820 34883731267 35945765240 37124314920 37743053502 38054979564 39155208565 39867121448 40438985895 40773192390 41174240184 42714772980 44850511629 46215983880 46986250278 47568724455 49833901810 50324071336 51257727576 51467800230 53918647860 54364256520 54817291991 56614580253 57082469346 59800682172 62648333704 62905089170 63424965940 64072159470 64702377432 68623733640 69767462534 70479375417 74750852715 75486107004 76109959128 78310417130 80877971790 81546384780 85429545960 89701023258 93972500556 94357633755 95137448910 99667803620 102935600460 104651193801 107837295720 109634583982 113229160506 114164938692 117465625695 119601364344 125810178340 126849931880 128144318940 139534925068 140958750834 142706173365 149501705430 150972214008 156620834260 161755943580 163092769560 164451875973 174418656335 179402046516 187945001112 188715267510 190274897820 199335607240 205871200920 209302387602 219269167964 224252558145 226458321012 228329877384 234931251390 251620356680 256288637880 274086459955 279069850136 281917501668 283072901265 285412346730 299003410860 313241668520 313953581403 323511887160 328903751946 348837312670 352396877085 358804093032 377430535020 380549795640 383721043937 418604775204 438538335928 448505116290 452916642024 469862502780 493355627919 523255969005 548172919910 563835003336 566145802530 570824693460 598006821720 627907162806 657807503892 697674625340 704793754170 754861070040 767442087874 822259379865 837209550408 897010232580 939725005560 986711255838 1046511938010 1096345839820 1132291605060 1141649386920 1151163131811 1255814325612 1315615007784 1395349250680 1409587508340 1534884175748 1569767907015 1644518759730 1794020465160 1918605219685 1973422511676 2093023876020 2192691679640 2264583210120 2302326263622 2466778139595 2511628651224 2819175016680 3069768351496 3139535814030 3289037519460 3453489395433 3837210439370 3946845023352 4186047752040 4604652527244 4933556279190 5755815659055 6279071628060 6578075038920 6906978790866 7674420878740 9209305054488 9867112558380 11511631318110 12558143256120 13813957581732 15348841757480 17267446977165 19734225116760 23023262636220 27627915163464 34534893954330 46046525272440 69069787908660 138139575817320
- Sum of all divisors σ(n): 583644188394540
- Sum of proper divisors (its aliquot sum) s(n): 445504612577220
- 138139575817320 is an abundant number, because the sum of its proper divisors (445504612577220) is greater than itself. Its abundance is 307365036759900
Bases of 138139575817320
- Binary: 111110110100011001000000101100010010100011010002
- Hexadecimal: 0x7DA320589468
- Base-36: 1CYSG0S7E0
Squares and roots of 138139575817320
- 138139575817320 squared (1381395758173202) is 19082542406989100546011982400
- 138139575817320 cubed (1381395758173203) is 2636054313617494939138694851909993455168000
-
The
square root of 138139575817320 is 11753279.3643867753 -
The
cube root of 138139575817320 is 51693.9088481013
Scales and comparisons
How big is 138139575817320?- 138,139,575,817,320 seconds is equal to 4,392,411 years, 11 weeks, 2 days, 1 hour, 42 minutes.
-
To count from 1 to 138,139,575,817,320 would take you about ten million, nine hundred eighty-one thousand and twenty-eight 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 138139575817320 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138139575817320
- 138139575817320 backwards is 023718575931831
- 138139575817320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138139575817320's digits is 63
- More coming soon!
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"Number 138139575817320 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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The information we have on file for 138139575817320 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 138139575817320, math, Factors of 138139575817320, curriculum, school, college, exams, university, Prime factorization of 138139575817320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-nine billion, five hundred seventy-five million, eight hundred seventeen thousand, three hundred twenty.