138113488800
138,113,488,800 is an even composite number composed of seven prime numbers multiplied together.
138113488800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138113488800:
25 × 34 × 52 × 7 × 43 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 43 × 73 × 97)See below for interesting mathematical facts about the number 138113488800 from the Numbermatics database.
Names of 138113488800
- Cardinal: 138113488800 can be written as One hundred thirty-eight billion, one hundred thirteen million, four hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381134888 × 1011
Factors of 138113488800
Divisors of 138113488800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 43 45 48 50 54 56 60 63 70 72 73 75 80 81 84 86 90 96 97 100 105 108 112 120 126 129 135 140 144 146 150 160 162 168 172 175 180 189 194 200 210 215 216 219 224 225 240 252 258 270 280 288 291 292 300 301 315 324 336 344 350 360 365 378 387 388 400 405 420 430 432 438 450 480 485 504 511 516 525 540 560 567 582 584 600 602 630 645 648 657 672 675 679 688 700 720 730 756 774 776 800 810 840 860 864 873 876 900 903 945 970 1008 1022 1032 1050 1075 1080 1095 1120 1134 1161 1164 1168 1200 1204 1260 1290 1296 1314 1350 1358 1376 1400 1440 1455 1460 1505 1512 1533 1548 1552 1575 1620 1680 1720 1746 1752 1800 1806 1825 1890 1935 1940 1971 2016 2025 2037 2044 2064 2100 2150 2160 2190 2268 2322 2328 2336 2400 2408 2425 2520 2555 2580 2592 2619 2628 2700 2709 2716 2800 2835 2910 2920 3010 3024 3066 3096 3104 3139 3150 3225 3240 3285 3360 3395 3440 3483 3492 3504 3600 3612 3650 3780 3870 3880 3942 4050 4074 4088 4128 4171 4200 4300 4320 4365 4380 4515 4536 4599 4644 4656 4725 4816 4850 5040 5110 5160 5238 5256 5400 5418 5432 5475 5600 5670 5805 5820 5840 5913 6020 6048 6111 6132 6192 6278 6300 6450 6480 6570 6790 6880 6966 6984 7008 7081 7200 7224 7275 7300 7525 7560 7665 7740 7760 7857 7884 8100 8127 8148 8176 8342 8400 8600 8730 8760 9030 9072 9198 9288 9312 9417 9450 9632 9675 9700 9855 10080 10185 10220 10320 10476 10512 10800 10836 10864 10950 11340 11610 11640 11680 11826 12040 12222 12264 12384 12513 12556 12600 12775 12900 12960 13095 13140 13545 13580 13797 13932 13968 14162 14175 14448 14550 14600 15050 15120 15330 15480 15520 15695 15714 15768 16200 16254 16296 16352 16425 16684 16800 16975 17200 17415 17460 17520 18060 18144 18333 18396 18576 18834 18900 19350 19400 19710 20370 20440 20640 20855 20952 21024 21243 21600 21672 21728 21825 21900 21973 22575 22680 22995 23220 23280 23652 24080 24381 24444 24528 25026 25112 25200 25550 25800 26190 26280 27090 27160 27594 27864 27936 28251 28324 28350 28896 29025 29100 29197 29200 29565 30100 30240 30555 30660 30960 31390 31428 31536 32400 32508 32592 32850 33368 33950 34400 34830 34920 35040 35405 36120 36666 36792 37152 37539 37668 37800 38325 38700 38800 39285 39420 40635 40740 40880 41391 41710 41904 42486 43344 43650 43800 43946 45150 45360 45990 46440 46560 47085 47304 48160 48762 48888 49056 49275 49567 50052 50224 50400 50925 51100 51600 52380 52560 54180 54320 54999 55188 55728 56502 56648 56700 58050 58200 58394 58400 59130 60200 61110 61320 61920 62565 62780 62856 63072 63729 64800 65016 65184 65475 65700 65919 66736 67725 67900 68985 69660 69840 70810 72240 73332 73584 75078 75336 75600 76650 77400 77600 78475 78570 78840 81270 81480 81760 82782 83420 83808 84753 84972 86688 87075 87300 87591 87600 87892 90300 90720 91665 91980 92880 94170 94608 97524 97776 98550 99134 100104 100448 101850 102200 103200 104275 104760 105120 106215 108360 108640 109865 109998 110376 111456 112617 113004 113296 113400 114975 116100 116400 116788 118260 120400 121905 122220 122640 125130 125560 125712 127458 130032 130950 131400 131838 133472 135450 135800 137970 139320 139680 141255 141620 144480 145985 146664 147168 147825 148701 150156 150672 151200 152775 153300 154800 156950 157140 157680 162540 162960 165564 166840 169506 169944 174150 174600 175182 175200 175784 177025 180600 183330 183960 185760 187695 188340 189216 191187 195048 195552 196425 197100 197757 198268 200208 203175 203700 204400 206955 208550 209520 212430 216720 219730 219996 220752 225234 226008 226592 226800 229950 232200 232800 233576 235425 236520 240800 243810 244440 245280 247835 250260 251120 251424 254259 254916 260064 261900 262773 262800 263676 270900 271600 274995 275940 278640 282510 283240 291970 293328 295650 297402 300312 301344 304483 305550 306600 309600 312825 313900 314280 315360 318645 325080 325920 329595 331128 333680 337851 339012 339888 344925 348300 349200 350364 351568 354050 361200 366660 367920 375390 376680 382374 390096 392850 394200 395514 396536 400416 406350 407400 408800 413910 417100 419040 423765 424860 433440 437955 439460 439992 441504 446103 450468 452016 453600 458325 459900 464400 467152 470850 473040 487620 488880 495670 500520 502240 508518 509832 523800 525546 525600 527352 531075 541800 543200 549325 549990 551880 557280 563085 565020 566480 573561 583940 586656 591300 593271 594804 600624 608966 609525 611100 613200 625650 627800 628560 637290 650160 659190 662256 667360 675702 678024 679776 689850 696600 698400 700728 703136 706275 708100 722400 729925 733320 735840 743505 750780 753360 764748 780192 785700 788319 788400 791028 793072 812700 814800 827820 834200 847530 849720 875910 878920 879984 892206 900936 904032 913449 916650 919800 928800 934304 938475 941700 946080 955935 975240 977760 988785 991340 1001040 1017036 1019664 1034775 1047600 1051092 1054704 1062150 1083600 1098650 1099980 1103760 1126170 1130040 1132960 1147122 1167880 1182600 1186542 1189608 1201248 1217932 1219050 1222200 1226400 1239175 1251300 1255600 1257120 1271295 1274580 1300320 1313865 1318380 1324512 1338309 1351404 1356048 1374975 1379700 1393200 1401456 1412550 1416200 1459850 1466640 1487010 1501560 1506720 1522415 1529496 1571400 1576638 1576800 1582056 1586144 1593225 1625400 1629600 1647975 1655640 1668400 1689255 1695060 1699440 1751820 1757840 1759968 1779813 1784412 1801872 1826898 1833300 1839600 1876950 1883400 1911870 1950480 1977570 1982680 2002080 2034072 2039328 2069550 2095200 2102184 2109408 2118825 2124300 2131381 2167200 2189775 2197300 2199960 2207520 2230515 2252340 2260080 2294244 2335760 2364957 2365200 2373084 2379216 2435864 2438100 2444400 2478350 2502600 2511200 2542590 2549160 2627730 2636760 2676618 2702808 2712096 2740347 2749950 2759400 2786400 2802912 2815425 2825100 2832400 2867805 2919700 2933280 2966355 2974020 3003120 3044830 3058992 3142800 3153276 3164112 3186450 3250800 3295950 3311280 3336800 3378510 3390120 3398880 3503640 3515680 3559626 3568824 3603744 3653796 3666600 3679200 3717525 3753900 3766800 3823740 3900960 3941595 3955140 3965360 4014927 4068144 4139100 4204368 4237650 4248600 4262762 4379550 4394600 4399920 4461030 4504680 4520160 4567245 4588488 4671520 4729914 4730400 4746168 4758432 4779675 4871728 4876200 4888800 4943925 4956700 5005200 5085180 5098320 5255460 5273520 5353236 5405616 5480694 5499900 5518800 5630850 5650200 5664800 5735610 5839400 5932710 5948040 6006240 6089660 6117984 6285600 6306552 6328224 6356475 6372900 6394143 6501600 6569325 6591900 6622560 6691545 6757020 6780240 7007280 7119252 7137648 7307592 7333200 7435050 7507800 7533600 7612075 7647480 7883190 7910280 7930720 8029854 8136288 8221041 8278200 8408736 8446275 8475300 8497200 8525524 8759100 8789200 8799840 8899065 8922060 9009360 9134490 9176976 9459828 9492336 9559350 9743456 9752400 9887850 9913400 10010400 10170360 10196640 10510920 10547040 10656905 10706472 10811232 10961388 10999800 11037600 11152575 11261700 11300400 11471220 11678800 11824785 11865420 11896080 12179320 12613104 12712950 12745800 12788286 13138650 13183800 13383090 13514040 13560480 13701735 14014560 14238504 14275296 14339025 14615184 14666400 14831775 14870100 15015600 15224150 15294960 15766380 15820560 16059708 16442082 16556400 16892550 16950600 16994400 17051048 17518200 17578400 17798130 17844120 18018720 18268980 18353952 18919656 18984672 19118700 19182429 19504800 19707975 19775700 19826800 20074635 20340720 21021840 21313810 21412944 21922776 21999600 22305150 22523400 22600800 22836225 22942440 23357600 23649570 23730840 23792160 24358640 24663123 25226208 25425900 25491600 25576572 26277300 26367600 26766180 27028080 27403470 28477008 28678050 29230368 29663550 29740200 30031200 30448300 30589920 31532760 31641120 31970715 32119416 32884164 33112800 33457725 33785100 33901200 34102096 35036400 35596260 35688240 36537960 37839312 38237400 38364858 39415950 39551400 39653600 40149270 40681440 41105205 42043680 42627620 42825888 43845552 43999200 44495325 44610300 45046800 45672450 45884880 47299140 47461680 48717280 49326246 50851800 50983200 51153144 52554600 52735200 53284525 53532360 54056160 54806940 56954016 57356100 57547287 59123925 59327100 59480400 60896600 63065520 63941430 64238832 65768328 66915450 67570200 67802400 68204192 68508675 70072800 71192520 71376480 73075920 75678624 76474800 76729716 78831900 79102800 80298540 82210410 85255240 87691104 88990650 89220600 90093600 91344900 91769760 94598280 94923360 95912145 98652492 100373175 101703600 102306288 105109200 106569050 107064720 109613880 114712200 115094574 118247850 118654200 118960800 121793200 123315615 126131040 127882860 128477664 131536656 133830900 135140400 137017350 142385040 146151840 152949600 153459432 157663800 158205600 159853575 160597080 164420820 170510480 172641861 177981300 178441200 182689800 189196560 191824290 197304984 200746350 203407200 204612576 205526025 210218400 213138100 214129440 219227760 229424400 230189148 236495700 237308400 243586400 246631230 255765720 263073312 267661800 270280800 274034700 284770080 287736435 306918864 315327600 319707150 321194160 328841640 341020960 345283722 355962600 356882400 365379600 378393120 383648580 394609968 401492700 411052050 426276200 438455520 458848800 460378296 472991400 474616800 479560725 493262460 511531440 535323600 548069400 575472870 613837728 616578075 630655200 639414300 642388320 657683280 690567444 711925200 730759200 767297160 789219936 802985400 822104100 852552400 863209305 920756592 945982800 959121450 986524920 1023062880 1070647200 1096138800 1150945740 1233156150 1278828600 1315366560 1381134888 1423850400 1438682175 1534594320 1605970800 1644208200 1705104800 1726418610 1841513184 1891965600 1918242900 1973049840 2192277600 2301891480 2466312300 2557657200 2762269776 2877364350 3069188640 3211941600 3288416400 3452837220 3836485800 3946099680 4316046525 4603782960 4932624600 5115314400 5524539552 5754728700 6576832800 6905674440 7672971600 8632093050 9207565920 9865249200 11509457400 13811348880 15345943200 17264186100 19730498400 23018914800 27622697760 34528372200 46037829600 69056744400 138113488800
- Sum of all divisors σ(n): 603237140352
- Sum of proper divisors (its aliquot sum) s(n): 465123651552
- 138113488800 is an abundant number, because the sum of its proper divisors (465123651552) is greater than itself. Its abundance is 327010162752
Bases of 138113488800
- Binary: 100000001010000011010010010111101000002
- Hexadecimal: 0x20283497A0
- Base-36: 1RG57E00
Squares and roots of 138113488800
- 138113488800 squared (1381134888002) is 19075335788507725440000
- 138113488800 cubed (1381134888003) is 2634561175782300906270915072000000
-
The
square root of 138113488800 is 371636.2318181585 -
The
cube root of 138113488800 is 5169.0654591709
Scales and comparisons
How big is 138113488800?- 138,113,488,800 seconds is equal to 4,391 years, 30 weeks, 1 day, 18 hours.
-
To count from 1 to 138,113,488,800 would take you about eight thousand, seven hundred eighty-three 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 138113488800 cubic inches would be around 430.8 feet tall.
Recreational maths with 138113488800
- 138113488800 backwards is 008884311831
- 138113488800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138113488800's digits is 45
- More coming soon!
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The information we have on file for 138113488800 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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