138940867296
138,940,867,296 is an even composite number composed of seven prime numbers multiplied together.
138940867296 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138940867296:
25 × 33 × 72 × 11 × 61 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 61 × 67 × 73)See below for interesting mathematical facts about the number 138940867296 from the Numbermatics database.
Names of 138940867296
- Cardinal: 138940867296 can be written as One hundred thirty-eight billion, nine hundred forty million, eight hundred sixty-seven thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38940867296 × 1011
Factors of 138940867296
Divisors of 138940867296
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 61 63 66 67 72 73 77 84 88 96 98 99 108 112 122 126 132 134 144 146 147 154 168 176 183 189 196 198 201 216 219 224 231 244 252 264 268 288 292 294 297 308 336 352 366 378 392 396 402 427 432 438 441 462 469 488 504 511 528 536 539 549 584 588 594 603 616 657 671 672 693 732 737 756 784 792 803 804 854 864 876 882 924 938 976 1008 1022 1056 1072 1078 1098 1168 1176 1188 1206 1232 1281 1314 1323 1342 1386 1407 1464 1474 1512 1533 1568 1584 1606 1608 1617 1647 1708 1752 1764 1809 1848 1876 1952 1971 2013 2016 2044 2079 2144 2156 2196 2211 2336 2352 2376 2409 2412 2464 2562 2628 2646 2684 2772 2814 2928 2948 2989 3024 3066 3168 3212 3216 3234 3283 3294 3416 3504 3528 3577 3618 3696 3752 3843 3942 4026 4087 4088 4158 4221 4312 4392 4422 4453 4599 4697 4704 4752 4818 4824 4851 4891 5124 5159 5256 5292 5368 5544 5621 5628 5856 5896 5978 6039 6048 6132 6424 6432 6468 6566 6588 6633 6832 7008 7056 7154 7227 7236 7392 7504 7686 7884 8052 8174 8176 8316 8442 8624 8784 8844 8906 8967 9198 9394 9504 9636 9648 9702 9782 9849 10248 10318 10512 10584 10731 10736 11088 11242 11256 11529 11792 11956 12078 12261 12264 12663 12848 12936 13132 13176 13266 13359 13664 13797 14091 14112 14308 14454 14472 14553 14673 15008 15372 15477 15768 16104 16348 16352 16632 16863 16884 17248 17568 17688 17812 17934 18117 18396 18788 19272 19296 19404 19564 19698 19899 20496 20636 21024 21168 21462 21472 21681 22176 22484 22512 23058 23584 23912 24156 24522 24528 25326 25696 25872 26264 26352 26532 26718 26901 27594 28182 28609 28616 28908 28944 29106 29346 29547 30744 30954 31171 31536 32193 32208 32696 32879 33264 33726 33768 34237 35376 35624 35868 36113 36234 36783 36792 37576 38544 38808 39128 39347 39396 39798 40077 40992 41272 42273 42336 42924 43362 44019 44957 44968 45024 46116 46431 47824 48312 48983 49044 49056 50589 50652 51744 52528 52704 53064 53436 53801 53802 55188 56364 57218 57232 57816 57888 58212 58692 59094 61488 61908 62342 63072 64386 64416 65392 65758 66528 67452 67536 68474 70752 71248 71736 72226 72468 73566 73584 75152 77088 77616 78256 78694 78792 79596 80154 80703 82544 84546 85827 85848 86724 88038 88641 89914 89936 92232 92862 93513 95648 96579 96624 97966 98088 98637 101178 101304 102711 105056 106128 106872 107602 107604 108339 110349 110376 112728 114436 114464 115632 116424 117384 118041 118188 120231 122976 123816 124684 126819 128772 130784 131516 132057 134871 134904 135072 136948 139293 142496 143472 144452 144936 146949 147132 147168 150304 151767 155232 156512 157388 157584 159192 160308 161403 161406 165088 169092 171654 171696 173448 176076 177282 179828 179872 184464 185724 187026 193158 193248 195932 196176 197274 200263 202356 202608 205422 212256 213744 215204 215208 216678 218197 220698 220752 225456 228872 231264 232848 234768 236082 236376 239659 240462 247632 249368 253638 257481 257544 263032 264114 269742 269808 273896 278586 280539 286944 288904 289872 293898 294264 295911 298351 303534 308133 314699 314776 315168 318384 320616 322806 322812 325017 338184 342881 343308 343392 346896 352152 354123 354564 359656 368928 371448 374052 376607 386316 391864 392352 394548 400526 404613 404712 405216 410844 427488 430408 430416 433356 436394 440847 441396 441504 450912 457744 465696 469536 472164 472752 479318 480924 484209 495264 498736 507276 514962 515088 526064 528228 539484 539616 547792 557172 561078 577808 579744 587796 588528 591822 596702 600789 607068 616266 629398 629552 636768 641232 645612 645624 650034 654591 676368 685762 686616 693792 704304 708246 709128 718977 719312 742896 748104 753214 772443 772632 783728 789096 801052 809226 809424 821688 841617 860816 860832 866712 872788 881694 882792 887733 895053 915488 924399 944097 944328 945504 958636 961848 968418 975051 997472 1014552 1028643 1029924 1030176 1052128 1056456 1062369 1078968 1095584 1114344 1122156 1129821 1155616 1175592 1177056 1183644 1193404 1201578 1213839 1214136 1232532 1258796 1259104 1282464 1291224 1291248 1300068 1309182 1322541 1352736 1371524 1373232 1408608 1416492 1418256 1437954 1438624 1452627 1485792 1496208 1506428 1544886 1545264 1567456 1578192 1602104 1618452 1618848 1643376 1683234 1721632 1733424 1745576 1763388 1765584 1775466 1790106 1802367 1848798 1888194 1888656 1917272 1923696 1936836 1950102 1963773 2029104 2057286 2059848 2088457 2112912 2124738 2156931 2157936 2202893 2228688 2244312 2259642 2351184 2367288 2386808 2400167 2403156 2427678 2428272 2465064 2517592 2582448 2582496 2600136 2618364 2636249 2645082 2685159 2743048 2746464 2832291 2832984 2836512 2875908 2905254 2992416 3012856 3085929 3089772 3090528 3156384 3204208 3236904 3281861 3286752 3366468 3389463 3466848 3491152 3526776 3531168 3550932 3580212 3604734 3697596 3776388 3777312 3834544 3847392 3873672 3900204 3927546 4058208 4114572 4119696 4176914 4225824 4249476 4313862 4315872 4405786 4457376 4488624 4519284 4702368 4734576 4773616 4800334 4806312 4855356 4856544 4930128 5035184 5164896 5200272 5236728 5272498 5290164 5370318 5407101 5486096 5664582 5665968 5751816 5810508 5891319 6025712 6171858 6179544 6265371 6408416 6470793 6473808 6563722 6608679 6732936 6778926 6982304 7053552 7101864 7160424 7200501 7209468 7395192 7552776 7669088 7747344 7800408 7855092 7908747 8055477 8229144 8239392 8353828 8496873 8498952 8627724 8811572 8977248 9038568 9257787 9469152 9547232 9600668 9612624 9710712 9845583 9860256 10070368 10168389 10400544 10473456 10544996 10580328 10740636 10814202 10972192 11329164 11331936 11503632 11621016 11782638 12051424 12343716 12359088 12530742 12941586 12947616 13127444 13217358 13465872 13557852 14107104 14203728 14320848 14401002 14418936 14619199 14790384 15105552 15494688 15600816 15710184 15817494 16110954 16458288 16707656 16993746 16997904 17255448 17623144 18077136 18515574 18796113 19201336 19225248 19421424 19691166 19826037 20336778 20946912 21089992 21160656 21481272 21601503 21628404 22658328 22973027 23007264 23242032 23565276 23726241 24687432 24718176 25061484 25883172 26254888 26434716 26931744 27115704 28407456 28641696 28802004 28837872 29238398 29536749 29580768 30211104 31201632 31420368 31634988 32221908 32916576 33415312 33987492 33995808 34510896 35246288 36154272 37031148 37592226 38402672 38842848 39382332 39652074 40673556 42179984 42321312 42962544 43203006 43256808 43857597 45316656 45946054 46484064 47130552 47452482 49374864 50122968 51766344 52509776 52869432 54231408 56388339 57604008 57675744 58476796 59073498 59478111 62840736 63269976 64443816 64804509 66830624 67974984 68919081 69021792 70492576 71178723 74062296 75184452 76805344 78764664 79304148 81347112 84359968 85925088 86406012 86513616 87715194 88610247 90633312 91892108 94261104 94904964 98749728 100245936 103532688 105019552 105738864 108462816 112776678 115208016 116953592 118146996 118956222 126539952 128887632 129609018 131572791 135949968 137838162 142357446 148124592 150368904 157529328 158608296 160811189 162694224 172812024 173027232 175430388 177220494 183784216 188522208 189809928 200491872 206757243 207065376 211477728 225553356 230416032 233907184 236293992 237912444 253079904 257775264 259218036 263145582 271899936 275676324 284714892 296249184 300737808 315058656 317216592 321622378 325388448 345624048 350860776 354440988 367568432 379619856 394718373 413514486 451106712 467814368 472587984 475824888 482433567 518436072 526291164 551352648 569429784 601475616 620271729 634433184 643244756 691248096 701721552 708881976 735136864 759239712 789436746 827028972 902213424 945175968 951649776 964867134 1036872144 1052582328 1102705296 1138859568 1240543458 1286489512 1403443104 1417763952 1447300701 1578873492 1654057944 1804426848 1903299552 1929734268 2073744288 2105164656 2205410592 2277719136 2481086916 2572979024 2835527904 2894601402 3157746984 3308115888 3859468536 4210329312 4341902103 4962173832 5145958048 5789202804 6315493968 6616231776 7718937072 8683804206 9924347664 11578405608 12630987936 15437874144 17367608412 19848695328 23156811216 34735216824 46313622432 69470433648 138940867296
- Sum of all divisors σ(n): 537760581120
- Sum of proper divisors (its aliquot sum) s(n): 398819713824
- 138940867296 is an abundant number, because the sum of its proper divisors (398819713824) is greater than itself. Its abundance is 259878846528
Bases of 138940867296
- Binary: 100000010110011000010101100010111000002
- Hexadecimal: 0x20598562E0
- Base-36: 1RTTSZC0
Squares and roots of 138940867296
- 138940867296 squared (1389408672962) is 19304564604964682351616
- 138940867296 cubed (1389408672963) is 2682192948985456593382671867150336
-
The
square root of 138940867296 is 372747.7260775711 -
The
cube root of 138940867296 is 5179.3667986661
Scales and comparisons
How big is 138940867296?- 138,940,867,296 seconds is equal to 4,417 years, 46 weeks, 1 day, 21 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,940,867,296 would take you about eight thousand, eight hundred thirty-five 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 138940867296 cubic inches would be around 431.6 feet tall.
Recreational maths with 138940867296
- 138940867296 backwards is 692768049831
- 138940867296 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138940867296's digits is 63
- More coming soon!
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"Number 138940867296 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138940867296 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138940867296/
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The information we have on file for 138940867296 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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