138365945117400
138,365,945,117,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138365945117400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138365945117400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138365945117400:
23 × 3 × 52 × 7 × 11 × 13 × 172 × 797161
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 17 × 17 × 797161)See below for interesting mathematical facts about the number 138365945117400 from the Numbermatics database.
Names of 138365945117400
- Cardinal: 138365945117400 can be written as One hundred thirty-eight trillion, three hundred sixty-five billion, nine hundred forty-five million, one hundred seventeen thousand, four hundred.
Scientific notation
- Scientific notation: 1.383659451174 × 1014
Factors of 138365945117400
Divisors of 138365945117400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 17 20 21 22 24 25 26 28 30 33 34 35 39 40 42 44 50 51 52 55 56 60 65 66 68 70 75 77 78 84 85 88 91 100 102 104 105 110 119 120 130 132 136 140 143 150 154 156 165 168 170 175 182 187 195 200 204 210 220 221 231 238 255 260 264 273 275 280 286 289 300 308 312 325 330 340 350 357 364 374 385 390 408 420 425 429 440 442 455 462 476 510 520 525 546 550 561 572 578 595 600 616 650 660 663 680 700 714 715 728 748 770 780 825 840 850 858 867 884 910 924 935 952 975 1001 1020 1050 1092 1100 1105 1122 1144 1155 1156 1190 1275 1300 1309 1320 1326 1365 1400 1428 1430 1445 1496 1540 1547 1560 1650 1700 1716 1734 1768 1785 1820 1848 1870 1925 1950 2002 2023 2040 2100 2145 2184 2200 2210 2244 2275 2310 2312 2380 2431 2550 2600 2618 2652 2730 2805 2856 2860 2890 2975 3003 3080 3094 3179 3300 3315 3400 3432 3468 3570 3575 3640 3740 3757 3850 3900 3927 4004 4046 4200 4290 4335 4420 4488 4550 4620 4641 4675 4760 4862 5005 5100 5236 5304 5460 5525 5610 5720 5775 5780 5950 6006 6069 6188 6358 6545 6600 6630 6825 6936 7140 7150 7225 7293 7480 7514 7700 7735 7800 7854 8008 8092 8580 8670 8840 8925 9100 9240 9282 9350 9537 9724 10010 10115 10200 10472 10725 10920 11050 11220 11271 11550 11560 11900 12012 12138 12155 12376 12716 13090 13260 13650 14025 14280 14300 14450 14586 15015 15028 15400 15470 15708 15895 16184 16575 17017 17160 17340 17850 18200 18564 18700 18785 19074 19448 19635 20020 20230 21450 21675 22100 22253 22440 22542 23100 23205 23800 24024 24276 24310 25025 25432 26180 26299 26520 27300 28050 28600 28900 29172 30030 30056 30345 30940 31416 31790 32725 33150 34034 34680 35700 36465 37128 37400 37570 38148 38675 39270 40040 40460 41327 42900 43350 44200 44506 45084 46200 46410 47685 48552 48620 50050 50575 51051 52360 52598 54600 56100 56355 57800 58344 60060 60690 60775 61880 63580 65450 66300 66759 68068 71400 72930 75075 75140 76296 77350 78540 78897 79475 80920 82654 85085 85800 86700 89012 90168 92820 93925 95370 97240 98175 100100 101150 102102 105196 111265 112200 112710 116025 120120 121380 121550 123981 127160 130900 131495 132600 133518 136136 145860 150150 150280 151725 154700 157080 157794 158950 165308 170170 173400 178024 182325 185640 187850 190740 196350 200200 202300 204204 206635 210392 222530 225420 232050 238425 242760 243100 247962 255255 261800 262990 267036 281775 289289 291720 300300 303450 309400 315588 317900 330616 333795 340340 364650 375700 381480 392700 394485 404600 408408 413270 425425 445060 450840 464100 476850 486200 495924 510510 525980 534072 556325 563550 578578 600600 606900 619905 631176 635800 657475 667590 680680 729300 751400 785400 788970 797161 826540 850850 867867 890120 928200 953700 991848 1021020 1033175 1051960 1112650 1127100 1157156 1213800 1239810 1276275 1314950 1335180 1446445 1458600 1577940 1594322 1653080 1668975 1701700 1735734 1907400 1972425 2042040 2066350 2225300 2254200 2314312 2391483 2479620 2552550 2629900 2670360 2892890 3099525 3155880 3188644 3337950 3403400 3471468 3944850 3985805 4132700 4339335 4450600 4782966 4959240 5105100 5259800 5580127 5785780 6199050 6377288 6675900 6942936 7232225 7889700 7971610 8265400 8678670 8768771 9565932 10210200 10363093 11160254 11571560 11957415 12398100 13351800 13551737 14464450 15779400 15943220 16740381 17357340 17537542 19131864 19929025 20726186 21696675 22320508 23914830 24796200 26306313 27103474 27900635 28928900 31089279 31886440 33480762 34714680 35075084 39858050 40655211 41452372 43393350 43843855 44641016 47829660 51815465 52612626 54206948 55801270 57857800 59787075 61381397 62178558 66961524 67758685 70150168 72541651 79716100 81310422 82904744 83701905 86786700 87687710 94862159 95659320 103630930 105225252 108413896 111602540 113994023 119574150 122762794 124357116 131531565 133923048 135517370 139503175 145083302 149069107 155446395 159432200 162620844 167403810 173573400 175375420 176172581 184144191 189724318 203276055 207261860 210450504 217624953 219219275 223205080 227988046 230379529 239148300 245525588 248714232 259077325 263063130 271034740 279006350 284586477 290166604 298138214 306906985 310892790 325241688 334807620 338793425 341982069 350750840 352345162 362708255 368288382 379448636 406552110 414523720 418509525 435249906 438438550 447207321 455976092 460759058 474310795 478296600 491051176 518154650 526126260 528517743 542069480 558012700 569172954 569970115 580333208 596276428 613813970 621785580 657657825 669615240 677586850 683964138 691138587 704690324 725416510 736576764 745345535 758897272 777231975 797958161 813104220 837019050 870499812 876877100 880862905 894414642 911952184 920720955 921518116 948621590 1016380275 1036309300 1043483749 1052252520 1057035486 1088124765 1116025400 1138345908 1139940230 1151897645 1192552856 1227627940 1233208067 1243571160 1315315650 1355173700 1367928276 1382277174 1409380648 1422932385 1450833020 1473153528 1490691070 1534534925 1554463950 1595916322 1612656703 1626208440 1674038100 1709910345 1740999624 1753754200 1761725810 1788829284 1813541275 1841441910 1843036232 1897243180 1937898391 2032760550 2072618600 2086967498 2114070972 2176249530 2236036605 2276691816 2279880460 2303795290 2371553975 2393874483 2455255880 2466416134 2534174819 2630631300 2642588715 2710347400 2735856552 2764554348 2845864770 2849850575 2901666040 2981382140 2994933877 3069069850 3108927900 3130451247 3191832644 3225313406 3348076200 3419820690 3455692935 3523451620 3577658568 3627082550 3682883820 3699624201 3726727675 3794486360 3875796782 3989790805 4065521100 4173934996 4228141944 4352499060 4404314525 4472073210 4559760920 4603604775 4607590580 4743107950 4787748966 4837970109 4932832268 5068349638 5217418745 5261262600 5285177430 5440623825 5529108696 5691729540 5699701150 5759488225 5813695173 5962764280 5989867754 6138139700 6166040335 6217855800 6260902494 6383665288 6450626812 6839641380 6911385870 7046903240 7114661925 7254165100 7365767640 7399248402 7453455350 7602524457 7751593564 7979581610 8063283515 8131042200 8347869992 8549551725 8704998120 8808629050 8944146420 8984801631 9207209550 9215181160 9486215900 9575497932 9675940218 9689491955 9865664536 10136699276 10434837490 10570354860 10881247650 11180183025 11383459080 11399402300 11518976450 11627390346 11969372415 11979735508 12276279400 12332080670 12521804988 12670874095 12901253624 13212943575 13565288737 13679282760 13822771740 14229323850 14508330200 14798496804 14906910700 14974669385 15205048914 15503187128 15652256235 15959163220 16126567030 17099103450 17278464675 17617258100 17739223733 17888292840 17969603262 18414419100 18498121005 18972431800 19150995864 19351880436 19378983910 19948954025 20273398552 20869674980 20964537139 21140709720 21762495300 22360366050 22798804600 23037952900 23254780692 23938744830 23959471016 24189850545 24664161340 25043609976 25341748190 26087093725 26425887150 27130577474 27645543480 28458647700 29068475865 29596993608 29813821400 29949338770 30410097828 30830201675 31304512470 31918326440 32253134060 32944272647 34198206900 34556929350 35234516200 35478447466 35939206524 36828838200 36996242010 38012622285 38703760872 38757967820 39897908050 40316417575 40695866211 41739349960 41929074278 43524990600 44720732100 44924008155 46075905800 46509561384 47877489660 48379701090 48447459775 49328322680 50683496380 52174187450 52851774300 53217671199 54261154948 56917295400 58136951730 59846862075 59898677540 60820195656 61660403350 62609024940 62893611417 63354370475 64506268120 65888545294 67826443685 68396413800 69113858700 70956894932 71878413048 73992484020 74873346925 76025244570 77515935640 78261281175 79795816100 80632835150 81391732422 83858148556 88696118665 89441464200 89848016310 92490605025 95754979320 96759402180 96894919550 98832817941 101366992760 104348374900 104822685695 105703548600 106435342398 108522309896 116273903460 119693724150 119797355080 120949252725 123320806700 125218049880 125787222834 126708740950 131777090588 135652887370 138227717400 141913789864 145342379325 147984968040 149746693850 152050489140 156522562350 159591632200 161265670300 162783464844 164721363235 167716297112 177392237330 179696032620 184981210050 190063111425 193518804360 193789839100 197665635882 203479331055 208696749800 209645371390 212870684796 224620040775 230609908529 232547806920 239387448300 241898505450 246641613400 251574445668 253417481900 263554181176 266088355995 271305774740 290684758650 299493387700 304100978280 313045124700 314468057085 322531340600 325566929688 329442726470 339132218425 354784474660 359392065240 369962420100 380126222850 387579678200 395331271764 406958662110 419290742780 425741369592 443480593325 449240081550 461219817058 478774896600 483797010900 494164089705 503148891336 506834963800 524113428475 532176711990 542611549480 581369517300 598986775400 626090249400 628936114170 658885452940 678264436850 691829725587 709568949320 739924840200 760252445700 790662543528 813917324220 823606816175 838581485560 886961186650 898480163100 922439634116 967594021800 988328179410 1017396655275 1048226856950 1064353423980 1153049542645 1162739034600 1257872228340 1317770905880 1330441779975 1356528873700 1383659451174 1520504891400 1572340285425 1627834648440 1647213632350 1773922373300 1796960326200 1844879268232 1976656358820 2034793310550 2096453713900 2128706847960 2306099085290 2470820448525 2515744456680 2660883559950 2713057747400 2767318902348 3144680570850 3294427264700 3459148627935 3547844746600 3953312717640 4069586621100 4192907427800 4612198170580 4941640897050 5321767119900 5534637804696 5765247713225 6289361141700 6588854529400 6918297255870 8139173242200 9224396341160 9883281794100 10643534239800 11530495426450 12578722283400 13836594511740 17295743139675 19766563588200 23060990852900 27673189023480 34591486279350 46121981705800 69182972558700 138365945117400
- Sum of all divisors σ(n): 611782678402560
- Sum of proper divisors (its aliquot sum) s(n): 473416733285160
- 138365945117400 is an abundant number, because the sum of its proper divisors (473416733285160) is greater than itself. Its abundance is 335050788167760
Bases of 138365945117400
- Binary: 111110111010111110101010000000111111010110110002
- Hexadecimal: 0x7DD7D501FAD8
- Base-36: 1D1OFR7X7C
Squares and roots of 138365945117400
- 138365945117400 squared (1383659451174002) is 19145134768231348899782760000
- 138365945117400 cubed (1383659451174003) is 2649034666606325390933512242942696024000000
-
The
square root of 138365945117400 is 11762905.4709030115 -
The
cube root of 138365945117400 is 51722.1303714729
Scales and comparisons
How big is 138365945117400?- 138,365,945,117,400 seconds is equal to 4,399,609 years, 3 weeks, 1 day, 2 hours, 50 minutes.
-
To count from 1 to 138,365,945,117,400 would take you about ten million, nine hundred ninety-nine thousand and twenty-two 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 138365945117400 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138365945117400
- 138365945117400 backwards is 004711549563831
- The number of decimal digits it has is: 15
- The sum of 138365945117400's digits is 57
- More coming soon!
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The information we have on file for 138365945117400 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 138365945117400, math, Factors of 138365945117400, curriculum, school, college, exams, university, Prime factorization of 138365945117400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty-five billion, nine hundred forty-five million, one hundred seventeen thousand, four hundred.