138525400368000
138,525,400,368,000 is an even composite number composed of five prime numbers multiplied together.
138525400368000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138525400368000:
27 × 35 × 53 × 472 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 47 × 47 × 127 × 127)See below for interesting mathematical facts about the number 138525400368000 from the Numbermatics database.
Names of 138525400368000
- Cardinal: 138525400368000 can be written as One hundred thirty-eight trillion, five hundred twenty-five billion, four hundred million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38525400368 × 1014
Factors of 138525400368000
Divisors of 138525400368000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 47 48 50 54 60 64 72 75 80 81 90 94 96 100 108 120 125 127 128 135 141 144 150 160 162 180 188 192 200 216 225 235 240 243 250 254 270 282 288 300 320 324 360 375 376 381 384 400 405 423 432 450 470 480 486 500 508 540 564 576 600 635 640 648 675 705 720 750 752 762 800 810 846 864 900 940 960 972 1000 1016 1080 1125 1128 1143 1152 1175 1200 1215 1269 1270 1296 1350 1410 1440 1500 1504 1524 1600 1620 1692 1728 1800 1880 1905 1920 1944 2000 2025 2032 2115 2160 2209 2250 2256 2286 2350 2400 2430 2538 2540 2592 2700 2820 2880 3000 3008 3048 3175 3200 3240 3375 3384 3429 3456 3525 3600 3760 3807 3810 3888 4000 4050 4064 4230 4320 4418 4500 4512 4572 4700 4800 4860 5076 5080 5184 5400 5640 5715 5760 5875 5969 6000 6016 6075 6096 6345 6350 6480 6627 6750 6768 6858 7050 7200 7520 7614 7620 7776 8000 8100 8128 8460 8640 8836 9000 9024 9144 9400 9525 9600 9720 10125 10152 10160 10287 10368 10575 10800 11045 11280 11421 11430 11750 11938 12000 12150 12192 12690 12700 12960 13254 13500 13536 13716 14100 14400 15040 15228 15240 15552 15875 16000 16129 16200 16256 16920 17145 17280 17625 17672 17907 18000 18048 18288 18800 19035 19050 19440 19881 20250 20304 20320 20574 21150 21600 22090 22560 22842 22860 23500 23876 24000 24300 24384 25380 25400 25920 26508 27000 27072 27432 28200 28575 28800 29845 30080 30375 30456 30480 30861 31104 31725 31750 32258 32400 33135 33840 34290 35250 35344 35814 36000 36576 37600 38070 38100 38880 39762 40500 40608 40640 41148 42300 43200 44180 45120 45684 45720 47000 47625 47752 48000 48387 48600 48768 50760 50800 51435 51840 52875 53016 53721 54000 54144 54864 55225 56400 57105 57150 59643 59690 60750 60912 60960 61722 63450 63500 64516 64800 66270 67680 68580 70500 70688 71628 72000 73152 75200 76140 76200 77760 79524 80645 81000 81216 81280 82296 84600 85725 86400 88360 89535 90240 91368 91440 94000 95175 95250 95504 96774 97200 99405 101520 101600 102870 105750 106032 107442 108000 109728 110450 112800 114210 114300 119286 119380 121500 121824 121920 123444 126900 127000 129032 129600 132540 135360 137160 141000 141376 142875 143256 144000 145161 146304 149225 150400 152280 152400 154305 155520 158625 159048 161163 161290 162000 162432 164592 165675 169200 171450 176720 178929 179070 182736 182880 188000 190350 190500 191008 193548 194400 198810 203040 203200 205740 211500 212064 214884 216000 219456 220900 225600 228420 228600 238572 238760 241935 243000 243648 243840 246888 253800 254000 257175 258064 259200 265080 268605 270720 274320 276125 280543 282000 282752 285525 285750 286512 290322 298215 298450 304560 304800 308610 317250 318096 322326 322580 324000 329184 331350 338400 342900 353440 357858 358140 365472 365760 376000 380700 381000 382016 387096 388800 397620 403225 406080 406400 411480 423000 424128 428625 429768 432000 435483 438912 441800 447675 451200 456840 457200 475875 477144 477520 483489 483870 486000 487296 493776 497025 507600 508000 514350 516128 530160 536787 537210 548640 552250 561086 564000 571050 571500 573024 580644 596430 596900 609120 609600 617220 634500 636192 644652 645160 648000 658368 662700 676800 685800 706880 715716 716280 725805 730944 731520 746125 752000 758063 761400 762000 764032 771525 774192 777600 795240 805815 806450 812160 822960 828375 841629 846000 848256 857250 859536 870966 883600 894645 895350 913680 914400 951750 954288 955040 966978 967740 972000 987552 994050 1015200 1016000 1028700 1032256 1060320 1073574 1074420 1097280 1104500 1122172 1128000 1142100 1143000 1146048 1161288 1192860 1193800 1209675 1218240 1219200 1234440 1269000 1272384 1285875 1289304 1290320 1296000 1306449 1316736 1325400 1343025 1353600 1371600 1402715 1413760 1427625 1431432 1432560 1450467 1451610 1461888 1491075 1492250 1516126 1522800 1524000 1543050 1548384 1590480 1611630 1612900 1645920 1656750 1683258 1692000 1714500 1719072 1741932 1767200 1789290 1790700 1827360 1828800 1903500 1908576 1910080 1933956 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18193512 18273600 18288000 18580608 18951575 19085760 19100800 19339560 19354800 19596735 19751040 19881000 20145375 20199096 20304000 20467701 20574000 20628864 20903184 21040725 21206400 21471480 21488400 21774150 22366125 22443440 22723983 22741890 22842000 22902912 23207472 23225760 23857200 23876000 24174450 24193500 24258016 24688800 25248870 25786080 25806400 26128980 26508000 26839350 26860500 26932128 27290268 27432000 27870912 28054300 28628640 28651200 29009340 29032200 29821500 30298644 30322520 30456000 30861000 30943296 30967680 31354776 31809600 32232600 32258000 32661225 32918400 33665160 34112835 34354368 34381440 34838640 35067875 35344000 35628961 35785800 35814000 35909504 36261675 36290250 36387024 36547200 37873305 37903150 38171520 38679120 38709600 39193470 39762000 40290750 40398192 40935402 41148000 41806368 42081450 42942960 42976800 43548300 44732250 44886880 45447966 45483780 45684000 46414944 46451520 47714400 47752000 48348900 48387000 48516032 49377600 50497740 51572160 51612800 52257960 53016000 53678700 53721000 53864256 54435375 54580536 54864000 55741824 56108600 56854725 57257280 57302400 58018680 58064400 59643000 60436125 60597288 60645040 60912000 61403103 61722000 61886592 62709552 63122175 63619200 64465200 64516000 65322450 67098375 67330320 68171949 68225670 68708736 69677280 70135750 71257922 71571600 71628000 72523350 72580500 72774048 75746610 75806300 77358240 77419200 78386940 79524000 80581500 80796384 81870804 82296000 83612736 84162900 85885920 85953600 87096600 89464500 89773760 90895932 90967560 91368000 92829888 92903040 94757875 95428800 95504000 96697800 96774000 97032064 97983675 98755200 100995480 102338505 103144320 104515920 105203625 106032000 106886883 107357400 107442000 107728512 108870750 109161072 112217200 113619915 113709450 114514560 116037360 116128800 119286000 120872250 121194576 121290080 122806206 123444000 125419104 126244350 128930400 129032000 130644900 134196750 134660640 136343898 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363870240 368418618 378733050 379031500 386791200 387096000 391934700 403981920 409354020 418063680 420814500 427547532 429429600 429768000 435483000 436644288 448868800 454479660 454837800 464149440 464515200 477144000 483489000 484778304 485160320 489918375 491224824 493776000 501676416 504977400 511692525 515721600 522579600 534434415 536787000 538642560 545375592 545805360 561086000 568099575 568547250 570063376 572572800 580186800 580644000 605972880 606450400 614031030 627095520 631221750 641321298 644652000 653224500 654966432 673303200 681719490 682256700 696772800 712579220 715716000 725233500 727167456 727740480 736837236 757466100 758063000 773582400 774192000 783869400 807963840 818708040 836127360 841629000 852820875 855095064 858859200 859536000 870966000 873288576 890724025 897737600 908959320 909675600 921046545 928298880 946832625 954288000 961981947 966978000 969556608 979836750 982449648 1009954800 1023385050 1045159200 1068868830 1073574000 1090751184 1091610720 1122172000 1136199150 1137094500 1140126752 1160373600 1161288000 1211945760 1212900800 1228062060 1254191040 1262443500 1282642596 1289304000 1306449000 1309932864 1346606400 1363438980 1364513400 1393545600 1425158440 1431432000 1450467000 1454334912 1455480960 1473674472 1514932200 1516126000 1535077575 1547164800 1567738800 1603303245 1615927680 1637416080 1683258000 1704298725 1705641750 1710190128 1717718400 1741932000 1781448050 1817918640 1819351200 1842093090 1893665250 1923963894 1933956000 1959673500 1964899296 2019909600 2046770100 2090318400 2137737660 2147148000 2181502368 2183221440 2244344000 2272398300 2274189000 2280253504 2320747200 2322576000 2423891520 2425801600 2456124120 2508382080 2524887000 2558462625 2565285192 2578608000 2612898000 2619865728 2672172075 2693212800 2726877960 2729026800 2840497875 2850316880 2862864000 2885945841 2900934000 2908669824 2947348944 3029864400 3032252000 3070155150 3135477600 3206606490 3274832160 3366516000 3408597450 3411283500 3420380256 3483864000 3562896100 3635837280 3638702400 3684186180 3787330500 3847927788 3867912000 3919347000 3929798592 4039819200 4093540200 4180636800 4275475320 4294296000 4363004736 4366442880 4453620125 4488688000 4544796600 4548378000 4560507008 4605232725 4641494400 4809909735 4847783040 4912248240 5049774000 5116925250 5130570384 5225796000 5344344150 5453755920 5458053600 5680995750 5700633760 5771891682 5801868000 5894697888 6059728800 6064504000 6140310300 6270955200 6413212980 6549664320 6733032000 6817194900 6822567000 6840760512 6967728000 7125792200 7271674560 7277404800 7368372360 7574661000 7675387875 7695855576 7735824000 7838694000 7859597184 8016516225 8079638400 8187080400 8521493625 8550950640 8588592000 8657837523 8726009472 8907240250 9089593200 9096756000 9210465450 9619819470 9824496480 10099548000 10233850500 10261140768 10451592000 10688688300 10907511840 10916107200 11361991500 11401267520 11543783364 11603736000 11789395776 12119457600 12129008000 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57718916820 58946978880 60597288000 61403103000 61566844608 62709552000 64132129800 65496643200 68171949000 68407605120 69262700184 71257922000 72148646025 72716745600 73683723600 76958555760 80165162250 81870804000 85509506400 86578375230 90895932000 92104654500 92350266912 96198194700 98244964800 102611407680 106886883000 109075118400 109161072000 114012675200 115437833640 117893957760 120247743375 121194576000 122806206000 123133689216 128264259600 136343898000 138525400368 142515844000 144297292050 147367447200 153917111520 160330324500 163741608000 171019012800 173156750460 181791864000 184209309000 184700533824 192396389400 196489929600 205222815360 213773766000 216445938075 218150236800 230875667280 240495486750 245612412000 256528519200 272687796000 277050800736 285031688000 288594584100 294734894400 307834223040 320660649000 327483216000 342038025600 346313500920 360743230125 363583728000 368418618000 369401067648 384792778800 427547532000 432891876150 461751334560 480990973500 491224824000 513057038400 545375592000 554101601472 570063376000 577189168200 589469788800 615668446080 641321298000 692627001840 721486460250 736837236000 769585557600 855095064000 865783752300 923502669120 961981947000 982449648000 1026114076800 1082229690375 1090751184000 1108203202944 1154378336400 1282642596000 1385254003680 1442972920500 1473674472000 1539171115200 1710190128000 1731567504600 1847005338240 1923963894000 2164459380750 2308756672800 2565285192000 2770508007360 2885945841000 2947348944000 3078342230400 3463135009200 3847927788000 4328918761500 4617513345600 5130570384000 5541016014720 5771891682000 6926270018400 7695855576000 8657837523000 9235026691200 11543783364000 13852540036800 15391711152000 17315675046000 23087566728000 27705080073600 34631350092000 46175133456000 69262700184000 138525400368000
- Sum of all divisors σ(n): 531297934156080
- Sum of proper divisors (its aliquot sum) s(n): 392772533788080
- 138525400368000 is an abundant number, because the sum of its proper divisors (392772533788080) is greater than itself. Its abundance is 254247133420080
Bases of 138525400368000
- Binary: 111110111111100111101010100100000000011100000002
- Hexadecimal: 0x7DFCF5480380
- Base-36: 1D3POURC00
Squares and roots of 138525400368000
- 138525400368000 squared (1385254003680002) is 19189286547114694535424000000
- 138525400368000 cubed (1385254003680003) is 2658203601715339355735631358636032000000000
-
The
square root of 138525400368000 is 11769681.4046940115 -
The
cube root of 138525400368000 is 51741.9912294445
Scales and comparisons
How big is 138525400368000?- 138,525,400,368,000 seconds is equal to 4,404,679 years, 12 weeks, 5 days.
-
To count from 1 to 138,525,400,368,000 would take you about eleven million, eleven thousand, six hundred ninety-eight 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 138525400368000 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138525400368000
- 138525400368000 backwards is 000863004525831
- 138525400368000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138525400368000's digits is 45
- More coming soon!
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The information we have on file for 138525400368000 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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