138208019040
138,208,019,040 is an even composite number composed of seven prime numbers multiplied together.
138208019040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138208019040:
25 × 36 × 5 × 7 × 13 × 29 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 29 × 449)See below for interesting mathematical facts about the number 138208019040 from the Numbermatics database.
Names of 138208019040
- Cardinal: 138208019040 can be written as One hundred thirty-eight billion, two hundred eight million, nineteen thousand and forty.
Scientific notation
- Scientific notation: 1.3820801904 × 1011
Factors of 138208019040
Divisors of 138208019040
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 29 30 32 35 36 39 40 42 45 48 52 54 56 58 60 63 65 70 72 78 80 81 84 87 90 91 96 104 105 108 112 116 117 120 126 130 135 140 144 145 156 160 162 168 174 180 182 189 195 203 208 210 216 224 232 234 240 243 252 260 261 270 273 280 288 290 312 315 324 336 348 351 360 364 377 378 390 405 406 416 420 432 435 449 455 464 468 480 486 504 520 522 540 546 560 567 580 585 609 624 630 648 672 696 702 720 728 729 754 756 780 783 810 812 819 840 864 870 898 910 928 936 945 972 1008 1015 1040 1044 1053 1080 1092 1120 1131 1134 1160 1170 1215 1218 1248 1260 1296 1305 1347 1365 1392 1404 1440 1456 1458 1508 1512 1560 1566 1620 1624 1638 1680 1701 1740 1755 1796 1820 1827 1872 1885 1890 1944 2016 2030 2080 2088 2106 2160 2184 2245 2262 2268 2320 2340 2349 2430 2436 2457 2520 2592 2610 2639 2694 2730 2784 2808 2835 2912 2916 3016 3024 3045 3120 3132 3143 3159 3240 3248 3276 3360 3393 3402 3480 3510 3592 3640 3645 3654 3744 3770 3780 3888 3915 4041 4060 4095 4176 4212 4320 4368 4490 4524 4536 4640 4680 4698 4860 4872 4914 5040 5103 5220 5265 5278 5388 5460 5481 5616 5655 5670 5832 5837 6032 6048 6090 6240 6264 6286 6318 6480 6496 6552 6735 6786 6804 6960 7020 7047 7184 7280 7290 7308 7371 7540 7560 7776 7830 7917 8082 8120 8190 8352 8424 8505 8736 8980 9048 9072 9135 9360 9396 9429 9477 9720 9744 9828 10080 10179 10206 10440 10530 10556 10776 10920 10962 11232 11310 11340 11664 11674 11745 12064 12123 12180 12285 12528 12572 12636 12960 13021 13104 13195 13470 13572 13608 13920 14040 14094 14368 14560 14580 14616 14742 15080 15120 15660 15715 15795 15834 16164 16240 16380 16443 16848 16965 17010 17511 17960 18096 18144 18270 18720 18792 18858 18954 19440 19488 19656 20205 20358 20412 20880 21060 21112 21141 21552 21840 21924 22113 22620 22680 23328 23348 23490 23751 24246 24360 24570 25056 25144 25272 25515 26042 26208 26390 26940 27144 27216 27405 28080 28188 28287 29160 29185 29232 29484 30160 30240 30537 31320 31430 31590 31668 32328 32480 32760 32886 33696 33930 34020 35022 35235 35920 36192 36369 36540 36855 37584 37716 37908 38880 39063 39312 39585 40410 40716 40824 40859 41760 42120 42224 42282 43104 43680 43848 44226 45240 45360 46696 46980 47145 47385 47502 48492 48720 49140 49329 50288 50544 50895 51030 52084 52533 52780 53880 54288 54432 54810 56160 56376 56574 58320 58370 58464 58968 60320 60615 61074 62640 62860 63180 63336 64656 65105 65520 65772 66339 67860 68040 70044 70470 71253 71840 72738 73080 73710 75168 75432 75816 78126 78624 79170 80820 81432 81648 81718 82215 84240 84448 84564 84861 87555 87696 88452 90480 90720 91147 91611 93392 93960 94290 94770 95004 96984 97440 98280 98658 100576 101088 101790 102060 104168 105066 105560 105705 107760 108576 109107 109620 110565 112752 113148 116640 116740 117189 117936 118755 121230 122148 122577 125280 125720 126360 126672 129312 130210 131040 131544 132678 135720 136080 140088 140940 141435 142506 145476 146160 147420 147987 150864 151632 152685 156252 157599 158340 161640 162864 163296 163436 164430 168480 169128 169273 169722 175110 175392 176904 180960 181845 182294 183222 186784 187920 188580 189540 190008 193968 195315 196560 197316 203580 204120 204295 208336 210132 211120 211410 213759 215520 218214 219240 221130 225504 226296 233480 234378 235872 237510 242460 244296 245154 246645 251440 252720 253344 254583 260420 262665 263088 265356 271440 272160 273441 274833 280176 281880 282870 285012 290952 292320 294840 295974 301728 303264 305370 312504 315198 316680 323280 325728 326872 327321 328860 331695 338256 338546 339444 350220 351567 353808 356265 363690 364588 366444 367731 375840 377160 379080 380016 387936 390630 393120 394632 407160 408240 408590 416672 420264 422240 422820 424305 427518 436428 438480 442260 452592 455735 458055 466960 468756 472797 475020 484920 488592 490308 493290 502880 505440 507819 509166 520840 525330 526176 530712 542880 545535 546882 549666 560352 563760 565740 570024 581904 585945 589680 591948 610740 612885 625008 630396 633360 641277 646560 653744 654642 657720 663390 676512 677092 678888 700440 703134 707616 712530 727380 729176 732888 735462 739935 754320 758160 760032 763749 781260 787995 789264 814320 816480 817180 820323 840528 845640 846365 848610 855036 872856 876960 884520 905184 911470 916110 933920 937512 945594 950040 969840 977184 980616 986580 1015638 1018332 1041680 1050660 1054701 1061424 1068795 1091070 1093764 1099332 1103193 1127520 1131480 1140048 1163808 1171890 1179360 1183896 1184911 1221480 1225770 1250016 1260792 1266720 1272915 1282554 1307488 1309284 1315440 1326780 1354184 1357776 1367205 1374165 1400880 1406268 1418391 1425060 1454760 1458352 1465776 1470924 1479870 1508640 1516320 1523457 1527498 1562520 1575990 1578528 1628640 1634360 1636605 1640646 1681056 1691280 1692730 1697220 1710072 1745712 1757835 1769040 1822940 1832220 1838655 1875024 1891188 1900080 1923831 1939680 1961232 1973160 2031276 2036664 2083360 2101320 2109402 2122848 2137590 2182140 2187528 2198664 2206386 2262960 2280096 2291247 2343780 2363985 2367792 2369822 2442960 2451540 2460969 2521584 2539095 2545830 2565108 2618568 2630880 2653560 2708368 2715552 2734410 2748330 2801760 2812536 2836782 2850120 2909520 2916704 2931552 2941848 2959740 3046914 3054996 3125040 3151980 3164103 3206385 3268720 3273210 3281292 3309579 3382560 3385460 3394440 3420144 3491424 3515670 3538080 3554733 3645880 3664440 3677310 3750048 3782376 3800160 3818745 3847662 3922464 3946320 4062552 4073328 4101615 4202640 4218804 4255173 4275180 4364280 4375056 4397328 4412772 4525920 4570371 4582494 4687560 4727970 4735584 4739644 4885920 4903080 4921938 5043168 5078190 5091660 5130216 5237136 5273505 5307120 5416736 5468820 5496660 5515965 5625072 5673564 5700240 5819040 5883696 5919480 5924555 6093828 6109992 6250080 6303960 6328206 6412770 6537440 6546420 6562584 6619158 6770920 6788880 6840288 7031340 7091955 7109466 7291760 7328880 7354620 7382907 7564752 7617285 7637490 7695324 7892640 8125104 8146656 8203230 8405280 8437608 8510346 8550360 8728560 8750112 8794656 8825544 9140742 9164988 9375120 9455940 9479288 9492309 9619155 9806160 9843876 9928737 10156380 10183320 10260432 10474272 10547010 10614240 10664199 10937640 10993320 11031930 11250144 11347128 11400480 11456235 11767392 11838960 11849110 12187656 12219984 12304845 12607920 12656412 12825540 13092840 13125168 13238316 13541840 13577760 13711113 14062680 14183910 14218932 14583520 14657760 14709240 14765814 15129504 15234570 15274980 15390648 15820515 16250208 16406460 16547895 16875216 17020692 17100720 17457120 17651088 17773665 18281484 18329976 18750240 18911880 18958576 18984618 19238310 19612320 19687752 19857474 20312760 20366640 20520864 21094020 21275865 21328398 21875280 21986640 22063860 22148721 22694256 22851855 22912470 23677920 23698220 24375312 24439968 24609690 25215840 25312824 25651080 26185680 26250336 26476632 27083680 27422226 28125360 28367820 28437864 29418480 29531628 29786211 30469140 30549960 30781296 31641030 31992597 32812920 33095790 33750432 34041384 34201440 35302176 35547330 36562968 36659952 36914535 37823760 37917152 37969236 38476620 39375504 39714948 40625520 40733280 41133339 42188040 42551730 42656796 43750560 43973280 44127720 44297442 45388512 45703710 45824940 47396440 47461545 48750624 49219380 49643685 50625648 51302160 52371360 52953264 53320995 54844452 56250720 56735640 56875728 58836960 59063256 59572422 60938280 61099920 61562592 63282060 63985194 65625840 66191580 66446163 68082768 68555565 71094660 73125936 73319904 73829070 75647520 75938472 76953240 78751008 79429896 81251040 82266678 84376080 85103460 85313592 88255440 88594884 91407420 91649880 94792880 94923090 95977791 98438760 99287370 101251296 102604320 105906528 106641990 109688904 110743605 113471280 113751456 118126512 119144844 121876560 122199840 123400017 126564120 127970388 131251680 132383160 132892326 136165536 137111130 142189320 146251872 147658140 148931055 151876944 153906480 158859792 159962985 164533356 168752160 170206920 170627184 176510880 177189768 182814840 183299760 189585760 189846180 191955582 196877520 198574740 205666695 213283980 219377808 221487210 226942560 236253024 238289688 243753120 246800034 253128240 255940776 264766320 265784652 274222260 284378640 287933373 295316280 297862110 303753888 307812960 317719584 319925970 329066712 332230815 340413840 341254368 354379536 365629680 366599520 379692360 383911164 393755040 397149480 411333390 426567960 438755616 442974420 476579376 479888955 493600068 506256480 511881552 529532640 531569304 548444520 568757280 575866746 590632560 595724220 617000085 639851940 658133424 664461630 680827680 708759072 731259360 759384720 767822328 794298960 822666780 853135920 863800119 885948840 953158752 959777910 987200136 1023763104 1063138608 1096889040 1151733492 1181265120 1191448440 1234000170 1279703880 1316266848 1328923260 1439666865 1518769440 1535644656 1588597920 1645333560 1706271840 1727600238 1771897680 1919555820 1974400272 2126277216 2193778080 2303466984 2382896880 2468000340 2559407760 2657846520 2879333730 3071289312 3290667120 3455200476 3543795360 3839111640 3948800544 4319000595 4606933968 4765793760 4936000680 5118815520 5315693040 5758667460 6581334240 6910400952 7678223280 8638001190 9213867936 9872001360 10631386080 11517334920 13820801904 15356446560 17276002380 19744002720 23034669840 27641603808 34552004760 46069339680 69104009520 138208019040
- Sum of all divisors σ(n): 624688848000
- Sum of proper divisors (its aliquot sum) s(n): 486480828960
- 138208019040 is an abundant number, because the sum of its proper divisors (486480828960) is greater than itself. Its abundance is 348272809920
Bases of 138208019040
- Binary: 100000001011011101011100000010011000002
- Hexadecimal: 0x202DD70260
- Base-36: 1RHPHI00
Squares and roots of 138208019040
- 138208019040 squared (1382080190402) is 19101456526961002521600
- 138208019040 cubed (1382080190403) is 2639974467369958509842780811264000
-
The
square root of 138208019040 is 371763.3912046747 -
The
cube root of 138208019040 is 5170.2444933241
Scales and comparisons
How big is 138208019040?- 138,208,019,040 seconds is equal to 4,394 years, 30 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 138,208,019,040 would take you about eight thousand, seven hundred eighty-nine 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 138208019040 cubic inches would be around 430.9 feet tall.
Recreational maths with 138208019040
- 138208019040 backwards is 040910802831
- 138208019040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138208019040's digits is 36
- More coming soon!
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The information we have on file for 138208019040 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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