138873387328000
138,873,387,328,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138873387328000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138873387328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138873387328000:
29 × 53 × 13 × 172 × 312 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 31 × 31 × 601)See below for interesting mathematical facts about the number 138873387328000 from the Numbermatics database.
Names of 138873387328000
- Cardinal: 138873387328000 can be written as One hundred thirty-eight trillion, eight hundred seventy-three billion, three hundred eighty-seven million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38873387328 × 1014
Factors of 138873387328000
Divisors of 138873387328000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 62 64 65 68 80 85 100 104 124 125 128 130 136 155 160 170 200 208 221 248 250 256 260 272 289 310 320 325 340 400 403 416 425 442 496 500 512 520 527 544 578 601 620 640 650 680 775 800 806 832 850 884 961 992 1000 1040 1054 1088 1105 1156 1202 1240 1280 1300 1360 1445 1550 1600 1612 1625 1664 1700 1768 1922 1984 2000 2015 2080 2108 2125 2176 2210 2312 2404 2480 2560 2600 2635 2720 2890 3005 3100 3200 3224 3250 3328 3400 3536 3757 3844 3875 3968 4000 4030 4160 4216 4250 4352 4420 4624 4805 4808 4960 5200 5270 5440 5525 5780 6010 6200 6400 6448 6500 6656 6800 6851 7072 7225 7514 7688 7750 7813 7936 8000 8060 8320 8432 8500 8704 8840 8959 9248 9610 9616 9920 10075 10217 10400 10540 10880 11050 11560 12020 12400 12493 12800 12896 13000 13175 13600 13702 14144 14450 15025 15028 15376 15500 15626 15872 16000 16120 16337 16640 16864 17000 17680 17918 18496 18631 18785 19220 19232 19840 20150 20434 20800 21080 21760 22100 23120 24025 24040 24800 24986 25792 26000 26350 27200 27404 27625 28288 28900 30050 30056 30752 31000 31252 32000 32240 32674 33280 33728 34000 34255 35360 35836 36125 36992 37262 37570 38440 38464 39065 39680 40300 40868 41600 42160 43520 44200 44795 46240 48050 48080 49600 49972 50375 51085 51584 52000 52700 54400 54808 55250 56576 57800 60100 60112 61504 62000 62465 62504 64000 64480 65348 65875 67456 68000 68510 70720 71672 72250 73984 74524 75125 75140 76880 76928 78130 79360 80600 81685 81736 83200 84320 88400 89590 92480 93155 93925 96100 96160 99200 99944 100750 102170 103168 104000 105400 108800 109616 110500 113152 115600 116467 120125 120200 120224 123008 124000 124930 125008 128960 130696 131750 132821 134912 136000 137020 141440 143344 144500 147968 149048 150250 150280 153760 153856 156260 161200 163370 163472 166400 168640 171275 173689 176800 179180 184960 186310 187850 192200 192320 195325 198400 199888 201500 204340 206336 208000 210800 212381 217600 219232 221000 223975 231200 232934 240250 240400 240448 242203 246016 248000 249860 250016 255425 257920 261392 263500 265642 269824 272000 274040 277729 282880 286688 289000 298096 300500 300560 307520 307712 312325 312520 316727 322400 326740 326944 337280 342550 347378 353600 358360 369920 372620 375700 384400 384640 390650 396800 399776 403000 408425 408680 416000 421600 424762 438464 442000 447950 462400 465775 465868 469625 480500 480800 480896 484406 492032 496000 499720 500032 510850 515840 522784 527000 531284 544000 548080 555458 565760 573376 577561 578000 582335 596192 601000 601120 615040 624650 625040 633454 644800 653480 653888 664105 674560 685100 694756 707200 716720 739840 745240 751400 768800 769280 781300 799552 806000 816850 817360 832000 843200 849524 856375 868445 876928 884000 895900 924800 931550 931736 939250 961000 961600 961792 968812 976625 992000 999440 1000064 1021700 1031680 1045568 1054000 1061905 1062568 1088000 1096160 1110916 1119875 1146752 1155122 1156000 1164670 1192384 1202000 1202240 1211015 1230080 1249300 1250080 1266908 1277125 1289600 1306960 1307776 1328210 1349120 1370200 1388645 1389512 1414400 1433440 1490480 1502800 1537600 1538560 1561625 1562600 1583635 1599104 1612000 1633700 1634720 1686400 1699048 1712750 1736890 1753856 1768000 1791800 1849600 1863100 1863472 1878500 1922000 1923200 1923584 1937624 1953250 1984000 1998880 2000128 2042125 2043400 2091136 2108000 2123810 2125136 2192320 2221832 2239750 2257957 2293504 2310244 2312000 2328875 2329340 2384768 2404000 2404480 2422030 2460160 2498600 2500160 2533816 2554250 2579200 2613920 2615552 2656420 2740400 2777290 2779024 2828800 2866880 2887805 2911675 2980960 3005600 3075200 3123250 3125200 3167270 3198208 3224000 3267400 3269440 3320525 3372800 3398096 3425500 3473780 3507712 3536000 3583600 3610477 3699200 3726200 3726944 3757000 3844000 3846400 3875248 3906500 3997760 4000256 4084250 4086800 4117451 4182272 4216000 4247620 4250272 4342225 4384640 4443664 4479500 4515914 4587008 4620488 4624000 4657750 4658680 4769536 4808000 4808960 4844060 4997200 5000320 5067632 5108500 5158400 5227840 5231104 5309525 5312840 5384359 5480800 5554580 5558048 5733760 5775610 5823350 5961920 6011200 6055075 6150400 6246500 6250400 6334540 6396416 6448000 6534800 6538880 6641050 6745600 6796192 6851000 6943225 6947560 7072000 7167200 7220954 7452400 7453888 7508293 7514000 7688000 7692800 7750496 7813000 7918175 7995520 8168500 8173600 8234902 8364544 8432000 8495240 8500544 8684450 8769280 8887328 8959000 9031828 9240976 9248000 9315500 9317360 9539072 9616000 9617920 9688120 9818537 9994400 10000640 10135264 10217000 10455680 10619050 10625680 10768718 10961600 11109160 11116096 11289785 11467520 11551220 11646700 11923840 12022400 12110150 12300800 12493000 12500800 12669080 12896000 13069600 13077760 13282100 13592384 13702000 13886450 13895120 14144000 14334400 14439025 14441908 14558375 14904800 14907776 15016586 15028000 15376000 15500992 15626000 15836350 15991040 16337000 16347200 16469804 16602625 16864000 16990480 17001088 17368900 17538560 17774656 17918000 18052385 18063656 18481952 18496000 18631000 18634720 19232000 19376240 19637074 19988800 20001280 20270528 20434000 20587255 20911360 21238100 21251360 21537436 21711125 21923200 22218320 22232192 22579570 22935040 23102440 23293400 23847680 24044800 24220300 24986000 25001600 25338160 25792000 26139200 26155520 26547625 26564200 26921795 27184768 27404000 27772900 27790240 28668800 28878050 28883816 29116750 29809600 29815552 30033172 30056000 30275375 30752000 31001984 31252000 31672700 31982080 32674000 32694400 32939608 33205250 33728000 33980960 34002176 34716125 34737800 35549312 35836000 36104770 36127312 36963904 37262000 37269440 37541465 38464000 38752480 39274148 39590875 39977600 40541056 40868000 41174510 41822720 42476200 42502720 43074872 43422250 43846400 44436640 44464384 45159140 46204880 46586800 47695360 48089600 48440600 49092685 49972000 50003200 50676320 52278400 53095250 53128400 53843590 54369536 54808000 55545800 55580480 56448925 57337600 57756100 57767632 58233500 59619200 59631104 60066344 60112000 60550750 61504000 62003968 62504000 63345400 65348000 65388800 65879216 66410500 67961920 68004352 69432250 69475600 69996667 71098624 71672000 72195125 72209540 72254624 73927808 74524000 74538880 75082930 77504960 78548296 79181750 79955200 81082112 81736000 82349020 84952400 85005440 86149744 86844500 87692800 88873280 88928768 90261925 90318280 92409760 93173600 96881200 98185370 99944000 100006400 101352640 102936275 104556800 106190500 106256800 107687180 108739072 109616000 111091600 111160960 112897850 114675200 115512200 115535264 116467000 119238400 120132688 120224000 121101500 124007936 125008000 126690800 127640981 130696000 130777600 131758432 132821000 134608975 135923840 138864500 138951200 139993334 142197248 143344000 144390250 144419080 144509248 147855616 149048000 149077760 150165860 155009920 157096592 158363500 159910400 162164224 163472000 164698040 166915129 169904800 170010880 172299488 173689000 177746560 180523850 180636560 184819520 186347200 187707325 193762400 196370740 199888000 202705280 205872550 209113600 212381000 212513600 215374360 219232000 222183200 222321920 225795700 231024400 231070528 232934000 238476800 240265376 240448000 242203000 245463425 250016000 253381600 255281962 261392000 263516864 265642000 269217950 271847680 277729000 277902400 279986668 282244625 286688000 288780500 288838160 289018496 295711232 298096000 298155520 300331720 310019840 314193184 316727000 326944000 329396080 333830258 339809600 340021760 344598976 347378000 349983335 355493120 361047700 361273120 369639040 372694400 375414650 387524800 392741480 399776000 405410560 411745100 424762000 425027200 430748720 438464000 444366400 444643840 451309625 451591400 462048800 462141056 465868000 480530752 484406000 490926850 500032000 506763200 510563924 514681375 522784000 527033728 531284000 538435900 543695360 555458000 555804800 559973336 564489250 573376000 577561000 577676320 578036992 596192000 600663440 620039680 628386368 633454000 638204905 653888000 658792160 667660516 673044875 679619200 689197952 694756000 699966670 710986240 722095400 722546240 739278080 745388800 750829300 775049600 785482960 799552000 810821120 823490200 834575645 849524000 850054400 861497440 888732800 902619250 903182800 924097600 924282112 931736000 938536625 961061504 968812000 981853700 1013526400 1021127848 1029362750 1045568000 1054067456 1062568000 1076871800 1110916000 1111609600 1119946672 1128978500 1155122000 1155352640 1156073984 1192384000 1201326880 1227317125 1256772736 1266908000 1276409810 1317584320 1335321032 1346089750 1359238400 1378395904 1389512000 1399933340 1444190800 1445092480 1478556160 1490777600 1501658600 1550099200 1570965920 1646980400 1669151290 1699048000 1700108800 1722994880 1749916675 1777465600 1805238500 1806365600 1848195200 1848564224 1863472000 1877073250 1922123008 1937624000 1963707400 2027052800 2042255696 2058725500 2108134912 2125136000 2153743600 2169896677 2221832000 2223219200 2239893344 2257957000 2310244000 2310705280 2402653760 2454634250 2513545472 2533816000 2552819620 2635168640 2670642064 2692179500 2718476800 2756791808 2779024000 2799866680 2888381600 2890184960 3003317200 3100198400 3141931840 3191024525 3293960800 3338302580 3398096000 3445989760 3499833350 3554931200 3610477000 3612731200 3696390400 3726944000 3754146500 3844246016 3875248000 3927414800 4054105600 4084511392 4117451000 4172878225 4250272000 4307487200 4339793354 4443664000 4479786688 4515914000 4620488000 4621410560 4805307520 4909268500 5027090944 5067632000 5105639240 5270337280 5341284128 5384359000 5558048000 5599733360 5776763200 5780369920 6006634400 6283863680 6382049050 6587921600 6676605160 6796192000 6891979520 6999666700 7220954000 7225462400 7392780800 7453888000 7508293000 7750496000 7854829600 8169022784 8234902000 8345756450 8500544000 8614974400 8679586708 8749583375 8887328000 8959573376 9031828000 9240976000 9242821120 9610615040 9818537000 10135264000 10211278480 10540674560 10682568256 10768718000 10849483385 11116096000 11199466720 11553526400 12013268800 12567727360 12764098100 13175843200 13353210320 13592384000 13783959040 13999333400 14441908000 14450924800 15016586000 15500992000 15709659200 15955122625 16338045568 16469804000 16691512900 17229948800 17359173416 17499166750 17774656000 17919146752 18063656000 18481952000 19221230080 19637074000 20270528000 20422556960 20864391125 21365136512 21537436000 21698966770 22398933440 23107052800 24026537600 25135454720 25528196200 26351686400 26706420640 27998666800 28883816000 28901849600 30033172000 31419318400 31910245250 32676091136 32939608000 33383025800 34459897600 34718346832 34998333500 35838293504 36127312000 36963904000 39274148000 40845113920 41728782250 42730273024 43074872000 43397933540 44797866880 46214105600 48053075200 51056392400 52703372800 53412841280 54247416925 55997333600 57767632000 60066344000 62838636800 63820490500 65352182272 65879216000 66766051600 68919795200 69436693664 69996667000 72254624000 78548296000 81690227840 83457564500 85460546048 86149744000 86795867080 89595733760 96106150400 102112784800 106825682560 108494833850 111994667200 115535264000 120132688000 125677273600 127640981000 131758432000 133532103200 138873387328 139993334000 144509248000 157096592000 163380455680 166915129000 172299488000 173591734160 179191467520 204225569600 213651365120 216989667700 223989334400 231070528000 240265376000 255281962000 263516864000 267064206400 271237084625 277746774656 279986668000 314193184000 326760911360 333830258000 344598976000 347183468320 408451139200 427302730240 433979335400 447978668800 480530752000 510563924000 534128412800 542474169250 555493549312 559973336000 628386368000 667660516000 694366936640 816902278400 867958670800 895957337600 1021127848000 1068256825600 1084948338500 1110987098624 1119946672000 1335321032000 1388733873280 1633804556800 1735917341600 2042255696000 2136513651200 2169896677000 2239893344000 2670642064000 2777467746560 3471834683200 4084511392000 4339793354000 4479786688000 5341284128000 5554935493120 6943669366400 8169022784000 8679586708000 10682568256000 13887338732800 17359173416000 27774677465600 34718346832000 69436693664000 138873387328000
- Sum of all divisors σ(n): 410026931378064
- Sum of proper divisors (its aliquot sum) s(n): 271153544050064
- 138873387328000 is an abundant number, because the sum of its proper divisors (271153544050064) is greater than itself. Its abundance is 132280156722064
Bases of 138873387328000
- Binary: 111111001001101111110101110101110100010000000002
- Hexadecimal: 0x7E4DFAEBA200
- Base-36: 1D85JX7KSG
Squares and roots of 138873387328000
- 138873387328000 squared (1388733873280002) is 19285817707952710979584000000
- 138873387328000 cubed (1388733873280003) is 2678286832493718017775407132311552000000000
-
The
square root of 138873387328000 is 11784455.3258943623 -
The
cube root of 138873387328000 is 51785.2816827247
Scales and comparisons
How big is 138873387328000?- 138,873,387,328,000 seconds is equal to 4,415,744 years, 7 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,873,387,328,000 would take you about eleven million, thirty-nine thousand, three hundred sixty 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 138873387328000 cubic inches would be around 4315.4 feet tall.
Recreational maths with 138873387328000
- 138873387328000 backwards is 000823783378831
- The number of decimal digits it has is: 15
- The sum of 138873387328000's digits is 61
- More coming soon!
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The information we have on file for 138873387328000 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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