138130930414080
138,130,930,414,080 is an even composite number composed of seven prime numbers multiplied together.
138130930414080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138130930414080:
29 × 32 × 5 × 29 × 181 × 421 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 181 × 421 × 2713)See below for interesting mathematical facts about the number 138130930414080 from the Numbermatics database.
Names of 138130930414080
- Cardinal: 138130930414080 can be written as One hundred thirty-eight trillion, one hundred thirty billion, nine hundred thirty million, four hundred fourteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3813093041408 × 1014
Factors of 138130930414080
Divisors of 138130930414080
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 128 144 145 160 174 180 181 192 232 240 256 261 288 290 320 348 360 362 384 421 435 464 480 512 522 543 576 580 640 696 720 724 768 842 870 905 928 960 1044 1086 1152 1160 1263 1280 1305 1392 1440 1448 1536 1629 1684 1740 1810 1856 1920 2088 2105 2172 2304 2320 2526 2560 2610 2713 2715 2784 2880 2896 3258 3368 3480 3620 3712 3789 3840 4176 4210 4344 4608 4640 5052 5220 5249 5426 5430 5568 5760 5792 6315 6516 6736 6960 7240 7424 7578 7680 8139 8145 8352 8420 8688 9280 10104 10440 10498 10852 10860 11136 11520 11584 12209 12630 13032 13472 13565 13920 14480 14848 15156 15747 16278 16290 16704 16840 17376 18560 18945 20208 20880 20996 21704 21720 22272 23040 23168 24417 24418 25260 26064 26245 26944 27130 27840 28960 30312 31494 32556 32580 33408 33680 34752 36627 37120 37890 40416 40695 41760 41992 43408 43440 44544 46336 47241 48834 48836 50520 52128 52490 53888 54260 55680 57920 60624 61045 62988 65112 65160 66816 67360 69504 73254 74240 75780 76201 78677 78735 80832 81390 83520 83984 86816 86880 92672 94482 97668 97672 101040 104256 104980 107776 108520 109881 111360 115840 121248 122085 122090 125976 130224 130320 133632 134720 139008 146508 151560 152402 157354 157470 161664 162780 167040 167968 173632 173760 183135 188964 195336 195344 202080 208512 209960 215552 217040 219762 222720 228603 231680 236031 236205 242496 244170 244180 251952 260448 260640 269440 278016 293016 303120 304804 314708 314940 323328 325560 334080 335936 347264 347520 366270 377928 381005 390672 390688 393385 404160 417024 419920 434080 439524 457206 463360 472062 472410 484992 488340 488360 491053 503904 520896 521280 538880 549405 586032 606240 609608 629416 629880 646656 651120 668160 671872 685809 694528 695040 708093 732540 755856 762010 781344 781376 786770 808320 834048 839840 868160 879048 914412 944124 944820 969984 976680 976720 982106 1007808 1041792 1042560 1077760 1098810 1142173 1143015 1172064 1180155 1212480 1219216 1258832 1259760 1302240 1343744 1371618 1389056 1390080 1416186 1465080 1473159 1511712 1524020 1562688 1562752 1573540 1616640 1679680 1736320 1758096 1828824 1888248 1889640 1939968 1953360 1953440 1964212 2015616 2083584 2085120 2197620 2209829 2284346 2286030 2344128 2360310 2424960 2438432 2455265 2517664 2519520 2604480 2687488 2743236 2832372 2930160 2946318 3023424 3048040 3125376 3125504 3147080 3233280 3359360 3426519 3429045 3472640 3516192 3540465 3657648 3776496 3779280 3906720 3906880 3928424 4031232 4167168 4170240 4395240 4419477 4419658 4568692 4572060 4688256 4720620 4849920 4876864 4910530 5035328 5039040 5208960 5486472 5664744 5710865 5860320 5892636 6046848 6096080 6250752 6251008 6294160 6629487 6718720 6853038 6858090 6945280 7032384 7080930 7315296 7365795 7552992 7558560 7813440 7813760 7856848 8062464 8790480 8838954 8839316 9137384 9144120 9376512 9441240 9699840 9753728 9821060 10070656 10078080 10279557 10417920 10972944 11049145 11329488 11421730 11720640 11785272 12093696 12192160 12501504 12588320 13258974 13437440 13706076 13716180 14064768 14161860 14240537 14630592 14731590 15105984 15117120 15626880 15627520 15713696 17132595 17580960 17677908 17678632 18274768 18288240 18753024 18882480 19507456 19642120 19888461 20141312 20156160 20559114 20835840 21945888 22097385 22098290 22658976 22843460 23441280 23570544 24187392 24384320 25176640 26517948 27412152 27432360 28129536 28323720 28481074 29261184 29463180 30211968 30234240 31253760 31255040 31427392 33123017 33147435 34265190 35161920 35355816 35357264 36549536 36576480 37764960 39014912 39284240 39776922 40282624 40312320 41118228 42721611 43891776 44194770 44196580 45317952 45686920 46882560 47141088 48768640 50353280 51397785 53035896 54824304 54864720 56259072 56647440 56962148 58522368 58926360 60423936 60468480 62507520 62854784 66246034 66294870 68530380 70323840 70711632 70714528 71202685 73099072 73152960 75529920 78568480 79553844 82236456 85443222 87783552 88389540 88393160 90635904 91373840 93765120 94282176 97537280 99369051 99442305 100706560 102795570 106071792 109648608 109729440 113294880 113924296 117044736 117852720 120847872 120936960 125709568 128164833 132492068 132589740 137060760 140647680 141423264 141429056 142405370 146198144 146305920 151059840 157136960 159107688 164472912 165615085 170886444 175567104 176779080 176786320 181271808 182747680 188564352 195074560 198738102 198884610 201413120 205591140 206733313 212143584 213608055 219297216 219458880 226589760 227848592 235705440 251419136 256329666 264984136 265179480 274121520 281295360 282846528 282858112 284810740 292396288 292611840 298107153 302119680 314273920 318215376 328945824 331230170 341772888 351134208 353558160 353572640 362543616 365495360 377128704 397476204 397769220 411182280 413466626 424287168 427216110 438594432 438917760 453179520 455697184 471410880 496845255 512659332 529968272 530358960 548243040 565693056 565716224 569621480 584792576 585223680 596214306 604239360 620199939 628547840 636430752 640824165 657891648 662460340 683545776 707116320 707145280 730990720 754257408 794952408 795538440 822364560 826933252 848574336 854432220 877188864 877835520 906359040 911394368 942821760 993690510 1025318664 1033666565 1059936544 1060717920 1096486080 1131386112 1131432448 1139242960 1192428612 1240399878 1257095680 1272861504 1281648330 1315783296 1324920680 1367091552 1414232640 1414290560 1461981440 1490535765 1589904816 1591076880 1644729120 1653866504 1697148672 1708864440 1754377728 1755671040 1812718080 1822788736 1860599817 1885643520 1987381020 2050637328 2067333130 2119873088 2121435840 2192972160 2262772224 2278485920 2384857224 2480799756 2545723008 2563296660 2631566592 2649841360 2734183104 2828465280 2828581120 2923962880 2981071530 3100999695 3179809632 3182153760 3289458240 3307733008 3394297344 3417728880 3645577472 3721199634 3771287040 3974762040 4101274656 4134666260 4239746176 4242871680 4385944320 4556971840 4769714448 4961599512 5091446016 5126593320 5263133184 5299682720 5468366208 5656930560 5657162240 5962143060 5995266077 6201999390 6359619264 6364307520 6578916480 6615466016 6835457760 7291154944 7442399268 7949524080 8202549312 8269332520 8479492352 8485743360 8771888640 9113943680 9302999085 9539428896 9923199024 10182892032 10253186640 10599365440 10936732416 11313861120 11924286120 11990532154 12403998780 12719238528 12728615040 13157832960 13230932032 13670915520 14884798536 15899048160 16405098624 16538665040 16958984704 16971486720 17985798231 18227887360 18605998170 19078857792 19846398048 20506373280 21198730880 21873464832 23848572240 23981064308 24807997560 25438477056 25457230080 26315665920 26461864064 27341831040 29769597072 29976330385 31798096320 32810197248 33077330080 35971596462 36455774720 37211996340 38157715584 39692796096 41012746560 42397461760 47697144480 47962128616 49615995120 50876954112 50914460160 52923728128 53957394693 54683662080 59539194144 59952660770 63596192640 65620394496 66154660160 71943192924 74423992680 76315431168 79385592192 82025493120 84794923520 89928991155 95394288960 95924257232 99231990240 105847456256 107914789386 109367324160 119078388288 119905321540 127192385280 132309320320 143886385848 148847985360 152630862336 158771184384 164050986240 179857982310 190788577920 191848514464 198463980480 215829578772 238156776576 239810643080 254384770560 264618640640 269786973465 287772771696 297695970720 317542368768 328101972480 359715964620 381577155840 383697028928 396927960960 431659157544 476313553152 479621286160 529237281280 539573946930 575545543392 595391941440 719431929240 763154311680 767394057856 793855921920 863318315088 952627106304 959242572320 1079147893860 1151091086784 1190783882880 1438863858480 1534788115712 1587711843840 1726636630176 1918485144640 2158295787720 2302182173568 2381567765760 2877727716960 3069576231424 3453273260352 3836970289280 4316591575440 4604364347136 4763135531520 5755455433920 6906546520704 7673940578560 8633183150880 9208728694272 11510910867840 13813093041408 15347881157120 17266366301760 23021821735680 27626186082816 34532732603520 46043643471360 69065465207040 138130930414080
- Sum of all divisors σ(n): 498982337773920
- Sum of proper divisors (its aliquot sum) s(n): 360851407359840
- 138130930414080 is an abundant number, because the sum of its proper divisors (360851407359840) is greater than itself. Its abundance is 222720476945760
Bases of 138130930414080
- Binary: 111110110100001000111010000101000110010000000002
- Hexadecimal: 0x7DA11D0A3200
- Base-36: 1CYOH1J7K0
Squares and roots of 138130930414080
- 138130930414080 squared (1381309304140802) is 19080153937059411160262246400
- 138130930414080 cubed (1381309304140803) is 2635559415769888071076964112362542989312000
-
The
square root of 138130930414080 is 11752911.5717799903 -
The
cube root of 138130930414080 is 51692.8304122561
Scales and comparisons
How big is 138130930414080?- 138,130,930,414,080 seconds is equal to 4,392,136 years, 16 weeks, 4 days, 12 hours, 48 minutes.
-
To count from 1 to 138,130,930,414,080 would take you about ten million, nine hundred eighty thousand, three hundred forty 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 138130930414080 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138130930414080
- 138130930414080 backwards is 080414039031831
- 138130930414080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138130930414080's digits is 45
- More coming soon!
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The information we have on file for 138130930414080 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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