138285476835840
138,285,476,835,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138285476835840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138285476835840 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 138285476835840:
29 × 32 × 5 × 19 × 151 × 167 × 12527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 151 × 167 × 12527)See below for interesting mathematical facts about the number 138285476835840 from the Numbermatics database.
Names of 138285476835840
- Cardinal: 138285476835840 can be written as One hundred thirty-eight trillion, two hundred eighty-five billion, four hundred seventy-six million, eight hundred thirty-five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3828547683584 × 1014
Factors of 138285476835840
Divisors of 138285476835840
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 64 72 76 80 90 95 96 114 120 128 144 151 152 160 167 171 180 190 192 228 240 256 285 288 302 304 320 334 342 360 380 384 453 456 480 501 512 570 576 604 608 640 668 684 720 755 760 768 835 855 906 912 960 1002 1140 1152 1208 1216 1280 1336 1359 1368 1440 1503 1510 1520 1536 1670 1710 1812 1824 1920 2004 2265 2280 2304 2416 2432 2505 2560 2672 2718 2736 2869 2880 3006 3020 3040 3173 3340 3420 3624 3648 3840 4008 4530 4560 4608 4832 4864 5010 5344 5436 5472 5738 5760 6012 6040 6080 6346 6680 6795 6840 7248 7296 7515 7680 8016 8607 9060 9120 9519 9664 9728 10020 10688 10872 10944 11476 11520 12024 12080 12160 12527 12692 13360 13590 13680 14345 14496 14592 15030 15865 16032 17214 18120 18240 19038 19328 20040 21376 21744 21888 22952 23040 24048 24160 24320 25054 25217 25384 25821 26720 27180 27360 28557 28690 28992 29184 30060 31730 32064 34428 36240 36480 37581 38076 38656 40080 42752 43035 43488 43776 45904 47595 48096 48320 48640 50108 50434 50768 51642 53440 54360 54720 57114 57380 57984 60120 62635 63460 64128 68856 72480 72960 75162 75651 76152 77312 80160 85504 86070 86976 87552 91808 95190 96192 96640 100216 100868 101536 103284 106880 108720 109440 112743 114228 114760 115968 120240 125270 126085 126920 128256 129105 137712 142785 144960 145920 150324 151302 152304 160320 172140 173952 183616 187905 190380 192384 193280 200432 201736 203072 206568 213760 217440 218880 225486 226953 228456 229520 231936 238013 240480 250540 252170 253840 256512 258210 275424 285570 289920 300648 302604 304608 320640 344280 347904 367232 375810 378255 380760 384768 386560 400864 403472 406144 413136 427520 434880 437760 450972 453906 456912 459040 476026 479123 480960 501080 504340 507680 516420 550848 563715 571140 579840 601296 605208 609216 641280 688560 695808 714039 734464 751620 756510 761520 769536 801728 806944 812288 826272 869760 901944 907812 913824 918080 952052 958246 961920 1002160 1008680 1015360 1032840 1101696 1127430 1134765 1142280 1159680 1190065 1202592 1210416 1218432 1282560 1377120 1428078 1437369 1468928 1503240 1513020 1523040 1603456 1613888 1624576 1652544 1739520 1803888 1815624 1827648 1836160 1891577 1904104 1916492 1923840 2004320 2017360 2030720 2065680 2092009 2142117 2203392 2254860 2269530 2284560 2380130 2395615 2405184 2420832 2436864 2754240 2856156 2874738 3006480 3026040 3046080 3206912 3227776 3305088 3479040 3570195 3607776 3631248 3655296 3672320 3783154 3808208 3832984 3847680 4008640 4034720 4061440 4131360 4184018 4284234 4312107 4406784 4509720 4539060 4569120 4760260 4791230 4810368 4841664 4873728 5508480 5674731 5712312 5749476 6012960 6052080 6092160 6276027 6413824 6455552 6610176 7140390 7186845 7215552 7262496 7310592 7344640 7566308 7616416 7665968 8017280 8069440 8122880 8262720 8368036 8568468 8624214 9019440 9078120 9138240 9457885 9520520 9582460 9620736 9683328 10460045 10710585 11016960 11349462 11424624 11498952 12025920 12104160 12184320 12552054 12911104 13220352 14280780 14373690 14431104 14524992 14621184 15132616 15232832 15331936 16034560 16138880 16525440 16736072 17024193 17136936 17248428 18038880 18156240 18276480 18828081 18915770 19041040 19164920 19241472 19366656 20920090 21421170 21560535 22033920 22698924 22849248 22997904 24051840 24208320 24368640 25104108 28373655 28561560 28747380 28862208 29049984 30265232 30465664 30663872 31380135 32069120 32277760 33050880 33472144 34048386 34273872 34496856 35939963 36077760 36312480 36552960 37656162 37831540 38082080 38329840 38733312 39748171 41840180 42842340 43121070 45397848 45698496 45995808 48103680 48416640 50208216 56747310 57123120 57494760 57724416 58099968 60530464 60931328 61327744 62760270 64555520 66101760 66944288 68096772 68547744 68993712 71879926 72155520 72624960 73105920 75312324 75663080 76164160 76659680 79496342 83680360 85120965 85684680 86242140 90795696 91396992 91991616 94140405 96207360 96833280 100416432 107819889 113494620 114246240 114989520 116199936 119244513 121060928 121862656 122655488 125520540 133888576 136193544 137095488 137987424 143759852 144311040 145249920 150624648 151326160 152328320 153319360 158992684 167360720 170241930 171369360 172484280 179699815 181591392 182793984 183983232 188280810 193666560 198740855 200832864 215639778 226989240 228492480 229979040 238489026 242121856 245310976 251041080 267777152 272387088 274190976 275974848 287519704 288622080 290499840 301249296 302652320 304656640 306638720 315893359 317985368 323459667 334721440 340483860 342738720 344968560 357733539 359399630 363182784 365587968 367966464 376561620 397481710 401665728 431279556 453978480 456984960 459958080 476978052 484243712 502082160 535554304 539099445 544774176 548381952 551949696 575039408 580999680 596222565 602498592 605304640 609313280 613277440 631786718 635970736 646919334 669442880 680967720 685477440 689937120 715467078 718799260 726365568 735932928 753123240 794963420 803331456 862559112 907956960 913969920 919916160 947680077 953956104 968487424 1004164320 1071108608 1078198890 1089548352 1096763904 1103899392 1150078816 1192445130 1204997184 1210609280 1226554880 1263573436 1271941472 1293838668 1338885760 1361935440 1370954880 1379874240 1430934156 1437598520 1452731136 1506246480 1579466795 1589926840 1606662912 1617298335 1725118224 1788667695 1815913920 1827939840 1839832320 1895360154 1907912208 2008328640 2156397780 2179096704 2207798784 2300157632 2384890260 2409994368 2421218560 2527146872 2543882944 2587677336 2677771520 2723870880 2741909760 2759748480 2843040231 2861868312 2875197040 2905462272 3012492960 3158933590 3179853680 3213325824 3234596670 3450236448 3577335390 3631827840 3679664640 3790720308 3815824416 4016657280 4312795560 4358193408 4600315264 4738400385 4769780520 4819988736 4842437120 5054293744 5087765888 5175354672 5355543040 5447741760 5483819520 5519496960 5686080462 5723736624 5750394080 6001973821 6024985920 6317867180 6359707360 6469193340 6900472896 7154670780 7263655680 7581440616 7631648832 8033314560 8625591120 8716386816 9200630528 9476800770 9539561040 9639977472 10108587488 10175531776 10350709344 10895483520 11038993920 11372160924 11447473248 11500788160 12003947642 12049971840 12635734360 12719414720 12938386680 13800945792 14215201155 14309341560 14527311360 15162881232 15263297664 16066629120 17251182240 18005921463 18401261056 18953601540 19079122080 20217174976 20351063552 20701418688 21790967040 22744321848 22894946496 23001576320 24007895284 24099943680 25271468720 25438829440 25876773360 27601891584 28430402310 28618683120 30009869105 30325762464 30526595328 34502364480 36011842926 37907203080 38158244160 40434349952 41402837376 43581934080 45488643696 45789892992 46003152640 48015790568 48199887360 50542937440 50877658880 51753546720 54017764389 55203783168 56860804620 57237366240 60019738210 60651524928 61053190656 69004728960 72023685852 75814406160 76316488320 80868699904 82805674752 90029607315 90977287392 91579785984 92006305280 96031581136 101085874880 101755317760 103507093440 108035528778 113721609240 114474732480 120039476420 121303049856 138009457920 144047371704 151628812320 152632976640 161737399808 165611349504 180059214630 181954574784 183159571968 192063162272 202171749760 207014186880 216071057556 227443218480 228949464960 240078952840 242606099712 270088821945 276018915840 288094743408 303257624640 305265953280 360118429260 363909149568 384126324544 404343499520 414028373760 432142115112 454886436960 457898929920 480157905680 485212199424 540177643890 576189486816 606515249280 720236858520 727818299136 768252649088 808686999040 828056747520 864284230224 909772873920 915797859840 960315811360 1080355287780 1152378973632 1213030498560 1440473717040 1455636598272 1536505298176 1728568460448 1819545747840 1920631622720 2160710575560 2304757947264 2426060997120 2880947434080 3073010596352 3457136920896 3639091495680 3841263245440 4321421151120 4609515894528 5761894868160 6914273841792 7278182991360 7682526490880 8642842302240 9219031789056 11523789736320 13828547683584 15365052981760 17285684604480 23047579472640 27657095367168 34571369208960 46095158945280 69142738417920 138285476835840
- Sum of all divisors σ(n): 510545962967040
- Sum of proper divisors (its aliquot sum) s(n): 372260486131200
- 138285476835840 is an abundant number, because the sum of its proper divisors (372260486131200) is greater than itself. Its abundance is 233975009295360
Bases of 138285476835840
- Binary: 111110111000101000110001011100101110010000000002
- Hexadecimal: 0x7DC518B97200
- Base-36: 1D0NGYHDS0
Squares and roots of 138285476835840
- 138285476835840 squared (1382854768358402) is 19122873103715641218308505600
- 138285476835840 cubed (1382854768358403) is 2644415625618577069528693167655646920704000
-
The
square root of 138285476835840 is 11759484.5480505649 -
The
cube root of 138285476835840 is 51712.1018970423
Scales and comparisons
How big is 138285476835840?- 138,285,476,835,840 seconds is equal to 4,397,050 years, 21 weeks, 5 days, 6 hours, 24 minutes.
-
To count from 1 to 138,285,476,835,840 would take you about ten million, nine hundred ninety-two thousand, six hundred twenty-six 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 138285476835840 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138285476835840
- 138285476835840 backwards is 048538674582831
- 138285476835840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138285476835840's digits is 72
- More coming soon!
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The information we have on file for 138285476835840 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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