138970013468000
138,970,013,468,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138970013468000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
138970013468000 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 138970013468000:
25 × 53 × 113 × 133 × 1092
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 109 × 109)See below for interesting mathematical facts about the number 138970013468000 from the Numbermatics database.
Names of 138970013468000
- Cardinal: 138970013468000 can be written as One hundred thirty-eight trillion, nine hundred seventy billion, thirteen million, four hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38970013468 × 1014
Factors of 138970013468000
Divisors of 138970013468000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 109 110 121 125 130 143 160 169 176 200 208 218 220 242 250 260 275 286 325 338 352 400 416 436 440 484 500 520 545 550 572 605 650 676 715 800 845 872 880 968 1000 1040 1090 1100 1144 1199 1210 1300 1331 1352 1375 1417 1430 1573 1625 1690 1744 1760 1859 1936 2000 2080 2180 2197 2200 2288 2398 2420 2600 2662 2704 2725 2750 2834 2860 3025 3146 3250 3380 3488 3575 3718 3872 4000 4225 4360 4394 4400 4576 4796 4840 5200 5324 5408 5450 5500 5668 5720 5995 6050 6292 6500 6655 6760 7085 7150 7436 7865 8450 8720 8788 8800 9295 9592 9680 10400 10648 10900 10985 11000 11336 11440 11881 11990 12100 12584 13000 13189 13310 13520 13625 14170 14300 14872 15125 15587 15730 16900 17303 17440 17576 17875 18421 18590 19184 19360 20449 21125 21296 21800 21970 22000 22672 22880 23762 23980 24167 24200 25168 26000 26378 26620 27040 27250 28340 28600 29744 29975 30250 31174 31460 33275 33800 34606 35152 35425 35750 36842 37180 38368 39325 40898 42250 42592 43600 43940 44000 45344 46475 47524 47960 48334 48400 50336 52000 52756 53240 54500 54925 56680 57200 59405 59488 59950 60500 62348 62920 65945 66550 67600 69212 70304 70850 71500 73684 74360 77935 78650 81796 84500 86515 87200 87880 92105 92950 95048 95920 96668 96800 102245 105512 106480 109000 109850 113360 114400 118810 119900 120835 121000 124696 125840 130691 131890 133100 135200 138424 141700 143000 145079 147368 148720 149875 154453 155870 157300 163592 166375 169000 171457 173030 175760 177125 184210 185900 190096 191840 193336 196625 202631 204490 211024 212960 218000 219700 224939 226720 232375 237620 239473 239800 241670 242000 249392 251680 261382 263780 265837 266200 274625 276848 283400 286000 290158 294736 297025 297440 299750 308906 311740 314600 327184 329725 332750 338000 342914 346060 351520 354250 368420 371800 380192 386672 389675 393250 405262 408980 422048 432575 436000 439400 449878 460525 464750 475240 478946 479600 483340 484000 498784 511225 522764 527560 531674 532400 549250 553696 566800 572000 580316 589472 594050 599500 604175 617812 623480 629200 653455 654368 659450 665500 676000 685828 692120 708500 725395 736840 743600 772265 773344 779350 786500 810524 817960 857285 865150 878800 899756 921050 929500 950480 957892 959200 966680 1013155 1022450 1045528 1055120 1063348 1064800 1098500 1124695 1133600 1160632 1188100 1197365 1199000 1208350 1235624 1246960 1258400 1306910 1318900 1329185 1331000 1371656 1384240 1417000 1437601 1450790 1473680 1485125 1487200 1544530 1558700 1573000 1621048 1635920 1648625 1698983 1714570 1730300 1757600 1799512 1842100 1859000 1886027 1900960 1915784 1933360 1948375 2007889 2026310 2044900 2091056 2110240 2126696 2162875 2197000 2228941 2249390 2302625 2321264 2376200 2394730 2398000 2416700 2471248 2493920 2556125 2613820 2634203 2637800 2658370 2662000 2743312 2768480 2834000 2875202 2901580 2924207 2947360 2970250 3020875 3089060 3117400 3146000 3242096 3267275 3271840 3297250 3397966 3429140 3460600 3599024 3626975 3684200 3718000 3772054 3831568 3861325 3866720 3896750 4015778 4052620 4089800 4182112 4253392 4286425 4325750 4394000 4457882 4498780 4605250 4642528 4752400 4789460 4796000 4833400 4942496 5065775 5112250 5227640 5268406 5275600 5316740 5324000 5486624 5623475 5668000 5750404 5803160 5848414 5940500 5986825 6041750 6178120 6234800 6292000 6484192 6534550 6594500 6645925 6795932 6858280 6921200 7188005 7198048 7253950 7368400 7436000 7544108 7663136 7722650 7793500 8031556 8105240 8179600 8494915 8506784 8572850 8651500 8788000 8915764 8997560 9210500 9430135 9504800 9578920 9666800 10039445 10131550 10224500 10455280 10536812 10551200 10633480 11144705 11246950 11500808 11606320 11696828 11881000 11973650 12083500 12356240 12469600 13069100 13171015 13189000 13291850 13591864 13716560 13842400 14376010 14507900 14621035 14736800 15088216 15445300 15587000 15813611 16063112 16210480 16336375 16359200 16989830 17145700 17303000 17831528 17995120 18134875 18421000 18688813 18860270 19157840 19306625 19333600 20078890 20263100 20449000 20910560 21073624 21266960 21432125 22086779 22289410 22493900 23001616 23212640 23393656 23762000 23947300 24167000 24518351 24712480 25328875 26102557 26138200 26342030 26378000 26583700 27183728 27433120 28117375 28752020 28976233 29015800 29242070 29934125 30176432 30890600 31174000 31627222 32126224 32420960 32672750 33229625 33979660 34291400 34606000 35663056 35940025 35990240 36269750 36842000 37377626 37720540 38315680 38613250 40157780 40526200 40898000 42147248 42474575 42533920 42864250 44173558 44578820 44987800 46003232 46787312 47150675 47524000 47894600 48334000 49036702 50197225 50657750 52205114 52276400 52684060 52756000 53167400 54367456 55723525 56234750 57504040 57952466 58031600 58484140 59868250 60352864 61781200 62348000 63254444 64252448 65345500 65855075 66459250 67959320 68582800 69212000 71326112 71880050 72539500 73105175 73684000 74755252 75441080 77226500 79068055 80315560 81052400 81796000 84294496 84949150 85728500 88347116 89157640 89975600 93444065 93574624 94301350 95789200 96668000 98073404 100394450 101315500 104410228 104552800 105368120 106334800 110433895 111447050 112469500 115008080 115904932 116063200 116968280 119736500 122591755 123562400 126508888 130512785 130691000 131710150 132918500 135918640 137165600 143760100 144881165 145079000 146210350 149510504 150882160 154453000 158136110 160631120 162104800 169898300 171457000 176694232 178315280 179700125 179951200 186888130 188602700 191578400 196146808 200788900 202631000 205576943 208820456 210736240 212372875 212669600 220867790 222894100 224939000 230016160 231809864 233936560 235753375 239473000 242954569 245183510 250986125 253017776 261025570 261382000 263420300 265837000 271837280 278617625 287128127 287520200 289762330 290158000 292420700 299021008 301764320 308906000 316272220 318738563 321262240 329275375 339796600 342914000 353388464 356630560 359400250 365525875 373776260 377205400 392293616 395340275 401577800 405262000 411153886 417640912 421472480 424745750 441735580 445788200 449878000 463619728 467220325 467873120 471506750 478946000 485909138 490367020 501972250 506035552 522051140 522764000 526840600 531674000 552169475 557235250 574256254 575040400 579524660 580316000 584841400 598042016 612958775 617812000 632544440 637477126 652563925 658550750 679593200 685828000 706776928 718800500 724405825 731051750 747552520 754410800 784587232 790680550 803155600 810524000 822307772 835281824 849491500 883471160 891576400 899756000 927239456 934440650 943013500 957892000 971818276 980734040 1003944500 1027884715 1044102280 1053681200 1063348000 1104338950 1114470500 1148512508 1150080800 1159049320 1169682800 1214772845 1225917550 1265088880 1274954252 1305127850 1317101500 1359186400 1435640635 1437601000 1448811650 1462103500 1495105040 1508821600 1581361100 1593692815 1606311200 1644615544 1698983000 1766942320 1783152800 1868881300 1886027000 1943636552 1961468080 1976701375 2007889000 2055769430 2088204560 2107362400 2208677900 2228941000 2297025016 2318098640 2336101625 2339365600 2429545690 2451835100 2530177760 2549908504 2610255700 2634203000 2672500259 2760847375 2871281270 2875202000 2897623300 2924207000 2990210080 3064793875 3158409397 3162722200 3187385630 3262819625 3289231088 3397966000 3533884640 3622029125 3737762600 3772054000 3887273104 3922936160 3953402750 4015778000 4111538860 4176409120 4417355800 4457882000 4594050032 4636197280 4672203250 4859091380 4903670200 5099817008 5139423575 5220511400 5268406000 5345000518 5521694750 5742562540 5750404000 5795246600 5848414000 6073864225 6129587750 6316818794 6325444400 6374771260 6525639250 6578462176 6795932000 7178203175 7244058250 7475525200 7544108000 7774546208 7906805500 7968464075 8031556000 8223077720 8834711600 8915764000 9188100064 9344406500 9718182760 9807340400 10199634016 10278847150 10441022800 10536812000 10690001036 11043389500 11485125080 11590493200 11696828000 12147728450 12259175500 12633637588 12650888800 12749542520 13051278500 13362501295 14356406350 14488116500 14951050400 15792046985 15813611000 15936928150 16446155440 17669423200 18688813000 19436365520 19614680800 20557694300 20882045600 21380002072 22086779000 22970250160 23180986400 24295456900 24518351000 25267275176 25499085040 25697117875 26102557000 26725002590 28712812700 28976233000 30369321125 31584093970 31627222000 31873856300 32892310880 34742503367 35891015875 37377626000 38872731040 39842320375 41115388600 42760004144 44173558000 45940500320 48590913800 49036702000 50534550352 50998170080 51394235750 52205114000 53450005180 57425625400 57952466000 60738642250 63168187940 63254444000 63747712600 66812506475 69485006734 71782031750 74755252000 78960234925 79684640750 82230777200 85520008288 88347116000 97181827600 98073404000 101069100704 102788471500 104410228000 106900010360 114851250800 115904932000 121477284500 126336375880 127495425200 133625012950 138970013468 143564063500 157920469850 159369281500 164461554400 173712516835 194363655200 205576943000 213800020720 229702501600 242954569000 252672751760 254990850400 267250025900 277940026936 287128127000 315840939700 318738563000 334062532375 347425033670 394801174625 411153886000 427600041440 485909138000 505345503520 534500051800 555880053872 574256254000 631681879400 637477126000 668125064750 694850067340 789602349250 822307772000 868562584175 971818276000 1069000103600 1111760107744 1148512508000 1263363758800 1274954252000 1336250129500 1389700134680 1579204698500 1737125168350 2138000207200 2526727517600 2672500259000 2779400269360 3158409397000 3474250336700 4342812920875 5345000518000 5558800538720 6316818794000 6948500673400 8685625841750 10690001036000 12633637588000 13897001346800 17371251683500 27794002693600 34742503367000 69485006734000 138970013468000
- Sum of all divisors σ(n): 410618568447360
- Sum of proper divisors (its aliquot sum) s(n): 271648554979360
- 138970013468000 is an abundant number, because the sum of its proper divisors (271648554979360) is greater than itself. Its abundance is 132678541511360
Bases of 138970013468000
- Binary: 111111001100100011110100100100110000101011000002
- Hexadecimal: 0x7E647A498560
- Base-36: 1D9DXXX3KW
Squares and roots of 138970013468000
- 138970013468000 squared (1389700134680002) is 19312664643296101387024000000
- 138970013468000 cubed (1389700134680003) is 2683881265581826625666618760439232000000000
-
The
square root of 138970013468000 is 11788554.3417333407 -
The
cube root of 138970013468000 is 51797.2893872371
Scales and comparisons
How big is 138970013468000?- 138,970,013,468,000 seconds is equal to 4,418,816 years, 29 weeks, 2 days, 22 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,970,013,468,000 would take you about eleven million, forty-seven thousand and forty-one 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 138970013468000 cubic inches would be around 4316.4 feet tall.
Recreational maths with 138970013468000
- 138970013468000 backwards is 000864310079831
- 138970013468000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138970013468000's digits is 50
- More coming soon!
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The information we have on file for 138970013468000 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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