138225609600
138,225,609,600 is an even composite number composed of seven prime numbers multiplied together.
138225609600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138225609600:
27 × 3 × 52 × 13 × 61 × 67 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 61 × 67 × 271)See below for interesting mathematical facts about the number 138225609600 from the Numbermatics database.
Names of 138225609600
- Cardinal: 138225609600 can be written as One hundred thirty-eight billion, two hundred twenty-five million, six hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.382256096 × 1011
Factors of 138225609600
Divisors of 138225609600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 67 75 78 80 96 100 104 120 122 128 130 134 150 156 160 183 192 195 200 201 208 240 244 260 268 271 300 305 312 320 325 335 366 384 390 400 402 416 480 488 520 536 542 600 610 624 640 650 670 732 780 793 800 804 813 832 871 915 960 975 976 1005 1040 1072 1084 1200 1220 1248 1300 1340 1355 1464 1525 1560 1586 1600 1608 1626 1664 1675 1742 1830 1920 1950 1952 2010 2080 2144 2168 2379 2400 2440 2496 2600 2613 2680 2710 2928 3050 3120 3172 3200 3216 3252 3350 3484 3523 3660 3900 3904 3965 4020 4065 4087 4160 4288 4336 4355 4575 4758 4800 4880 4992 5025 5200 5226 5360 5420 5856 6100 6240 6344 6432 6504 6700 6775 6968 7046 7320 7800 7808 7930 8040 8130 8174 8320 8576 8672 8710 9150 9516 9600 9760 10050 10400 10452 10569 10720 10840 11712 11895 12200 12261 12480 12688 12864 13008 13065 13400 13550 13936 14092 14640 15600 15860 16080 16260 16348 16531 17344 17420 17615 18157 18300 19032 19520 19825 20100 20325 20435 20800 20904 21138 21440 21680 21775 23424 23790 24400 24522 24960 25376 25728 26016 26130 26800 27100 27872 28184 29280 31200 31720 32160 32520 32696 33062 34688 34840 35230 36314 36600 38064 39040 39650 40200 40650 40870 41600 41808 42276 42880 43360 43550 47580 48800 49044 49593 50752 52032 52260 52845 53131 53600 54200 54471 55744 56368 58560 59475 61305 62400 63440 64320 65040 65325 65392 66124 69680 70460 72628 73200 76128 79300 80400 81300 81740 82655 83616 84552 86720 87100 88075 90785 95160 97600 98088 99186 101504 102175 104064 104520 105690 106262 107200 108400 108942 111488 112736 117120 118950 122610 124800 126880 128640 130080 130650 130784 132248 139360 140920 145256 146400 152256 158600 159393 160800 162600 163480 165310 167232 169104 173440 174200 176150 181570 190320 195200 196176 198372 204350 209040 211380 212524 214400 214903 216800 217884 225472 236041 237900 245220 247965 253760 260160 261300 261568 264225 264496 265655 272355 278720 281840 290512 292800 304512 306525 317200 318786 321600 325200 326960 330620 334464 338208 348400 352300 363140 380640 392352 396744 408700 413275 418080 422760 425048 429806 433600 435768 450944 453925 472082 475800 490440 495930 507520 520320 522600 523136 528450 528992 531310 544710 557440 563680 581024 585600 613050 634400 637572 643200 644709 650400 653920 661240 676416 696800 704600 708123 726280 761280 784704 793488 796965 817400 826550 836160 845520 850096 859612 867200 871536 907850 944164 951600 980880 991860 1045200 1056900 1057984 1062620 1074515 1089420 1107577 1127360 1162048 1180205 1226100 1239825 1268800 1275144 1289418 1300800 1307840 1322480 1328275 1352832 1361775 1393600 1409200 1416246 1452560 1522560 1569408 1586976 1593930 1634800 1653100 1672320 1691040 1700192 1719224 1743072 1815700 1888328 1903200 1961760 1983720 2090400 2113800 2115968 2125240 2149030 2178840 2215154 2254720 2324096 2360410 2452200 2479650 2537600 2550288 2578836 2601600 2615680 2644960 2656550 2723550 2787200 2818400 2832492 2905120 3173952 3187860 3223545 3269600 3306200 3322731 3382080 3400384 3438448 3486144 3540615 3631400 3776656 3806400 3923520 3967440 3984825 4180800 4227600 4250480 4298060 4357680 4430308 4720820 4904400 4959300 5100576 5157672 5289920 5313100 5372575 5447100 5537885 5636800 5664984 5810240 5901025 6347904 6375720 6447090 6539200 6612400 6645462 6764160 6800768 6876896 6972288 7081230 7262800 7553312 7612800 7847040 7934880 7969650 8361600 8455200 8500960 8596120 8715360 8860616 9441640 9808800 9918600 10201152 10315344 10579840 10626200 10745150 10894200 11075770 11273600 11329968 11620480 11802050 12751440 12894180 13078400 13224800 13290924 13753792 14162460 14398501 14525600 15106624 15869760 15939300 16117725 16613655 16910400 17001920 17192240 17430720 17703075 17721232 18883280 19617600 19837200 20402304 20630688 21252400 21490300 21788400 22151540 22659936 23604100 25502880 25788360 26449600 26581848 27507584 27689425 28324920 28797002 29051200 30213248 31739520 31878600 32235450 33227310 33820800 34003840 34384480 34861440 35406150 35442464 37766560 39235200 39674400 41261376 42504800 42980600 43195503 43576800 44303080 45319872 47208200 51005760 51576720 52899200 53163696 55378850 56649840 57594004 58102400 63757200 64470900 66454620 68768960 70812300 70884928 71992505 75533120 79348800 82522752 83068275 85009600 85961200 86391006 87153600 88606160 90639744 94416400 102011520 103153440 106327392 110757700 113299680 115188008 127514400 128941800 132909240 137537920 141624600 141769856 143985010 151066240 158697600 166136550 170019200 171922400 172782012 174307200 177212320 188832800 206306880 212654784 215977515 221515400 226599360 230376016 255028800 257883600 265818480 283249200 287970020 332273100 343844800 345564024 354424640 359962525 377665600 412613760 425309568 431955030 443030800 453198720 460752032 510057600 515767200 531636960 566498400 575940040 664546200 687689600 691128048 708849280 719925050 755331200 863910060 886061600 921504064 1031534400 1063273920 1079887575 1132996800 1151880080 1329092400 1382256096 1439850100 1727820120 1772123200 1843008128 2063068800 2126547840 2159775150 2265993600 2303760160 2658184800 2764512192 2879700200 3455640240 3544246400 4319550300 4607520320 5316369600 5529024384 5759400400 6911280480 8639100600 9215040640 10632739200 11518800800 13822560960 17278201200 23037601600 27645121920 34556402400 46075203200 69112804800 138225609600
- Sum of all divisors σ(n): 507644175360
- Sum of proper divisors (its aliquot sum) s(n): 369418565760
- 138225609600 is an abundant number, because the sum of its proper divisors (369418565760) is greater than itself. Its abundance is 231192956160
Bases of 138225609600
- Binary: 100000001011101110001101101011100000002
- Hexadecimal: 0x202EE36B80
- Base-36: 1RHZYIYO
Squares and roots of 138225609600
- 138225609600 squared (1382256096002) is 19106319149291612160000
- 138225609600 cubed (1382256096003) is 2640982611622986498982772736000000
-
The
square root of 138225609600 is 371787.0487254767 -
The
cube root of 138225609600 is 5170.4638333173
Scales and comparisons
How big is 138225609600?- 138,225,609,600 seconds is equal to 4,395 years, 7 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 138,225,609,600 would take you about eight thousand, seven hundred ninety 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 138225609600 cubic inches would be around 430.9 feet tall.
Recreational maths with 138225609600
- 138225609600 backwards is 006906522831
- The number of decimal digits it has is: 12
- The sum of 138225609600's digits is 42
- More coming soon!
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The information we have on file for 138225609600 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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