138375216000
138,375,216,000 is an even composite number composed of five prime numbers multiplied together.
138375216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138375216000:
27 × 34 × 53 × 72 × 2179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 2179)See below for interesting mathematical facts about the number 138375216000 from the Numbermatics database.
Names of 138375216000
- Cardinal: 138375216000 can be written as One hundred thirty-eight billion, three hundred seventy-five million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38375216 × 1011
Factors of 138375216000
Divisors of 138375216000
- Number of divisors d(n): 960
-
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 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 270 280 288 294 300 315 320 324 336 350 360 375 378 384 392 400 405 420 432 441 448 450 480 490 500 504 525 540 560 567 576 588 600 630 640 648 672 675 700 720 735 750 756 784 800 810 840 864 875 882 896 900 945 960 980 1000 1008 1050 1080 1120 1125 1134 1152 1176 1200 1225 1260 1296 1323 1344 1350 1400 1440 1470 1500 1512 1568 1575 1600 1620 1680 1728 1750 1764 1800 1890 1920 1960 2000 2016 2025 2100 2160 2179 2205 2240 2250 2268 2352 2400 2450 2520 2592 2625 2646 2688 2700 2800 2835 2880 2940 3000 3024 3136 3150 3200 3240 3360 3375 3456 3500 3528 3600 3675 3780 3920 3969 4000 4032 4050 4200 4320 4358 4410 4480 4500 4536 4704 4725 4800 4900 5040 5184 5250 5292 5400 5600 5670 5760 5880 6000 6048 6125 6272 6300 6480 6537 6615 6720 6750 7000 7056 7200 7350 7560 7840 7875 7938 8000 8064 8100 8400 8640 8716 8820 9000 9072 9408 9450 9600 9800 10080 10125 10368 10500 10584 10800 10895 11025 11200 11340 11760 12000 12096 12250 12600 12960 13074 13230 13440 13500 14000 14112 14175 14400 14700 15120 15253 15680 15750 15876 16000 16200 16800 17280 17432 17640 18000 18144 18375 18816 18900 19600 19611 19845 20160 20250 21000 21168 21600 21790 22050 22400 22680 23520 23625 24000 24192 24500 25200 25920 26148 26460 27000 28000 28224 28350 28800 29400 30240 30506 31360 31500 31752 32400 32685 33075 33600 34864 35280 36000 36288 36750 37800 39200 39222 39690 40320 40500 42000 42336 43200 43580 44100 45360 45759 47040 47250 48000 49000 50400 51840 52296 52920 54000 54475 55125 56000 56448 56700 58800 58833 60480 61012 63000 63504 64800 65370 66150 67200 69728 70560 70875 72000 72576 73500 75600 76265 78400 78444 79380 81000 84000 84672 86400 87160 88200 90720 91518 94080 94500 98000 98055 99225 100800 104592 105840 106771 108000 108950 110250 112000 113400 117600 117666 120960 122024 126000 127008 129600 130740 132300 137277 139456 141120 141750 144000 147000 151200 152530 156800 156888 158760 162000 163425 165375 168000 169344 174320 176400 176499 181440 183036 189000 196000 196110 198450 201600 209184 211680 213542 216000 217900 220500 226800 228795 235200 235332 244048 252000 254016 259200 261480 264600 272375 274554 278912 282240 283500 294000 294165 302400 305060 313776 317520 320313 324000 326850 330750 336000 348640 352800 352998 362880 366072 378000 381325 392000 392220 396900 411831 418368 423360 427084 432000 435800 441000 453600 457590 470400 470664 488096 490275 496125 504000 508032 522960 529200 533855 544750 549108 567000 588000 588330 604800 610120 627552 635040 640626 648000 653700 661500 686385 697280 705600 705996 732144 756000 762650 784000 784440 793800 817125 823662 836736 846720 854168 871600 882000 882495 907200 915180 941328 960939 976192 980550 992250 1008000 1045920 1058400 1067710 1089500 1098216 1134000 1143975 1176000 1176660 1220240 1235493 1255104 1270080 1281252 1296000 1307400 1323000 1372770 1394560 1411200 1411992 1464288 1470825 1512000 1525300 1568880 1587600 1601565 1634250 1647324 1708336 1743200 1764000 1764990 1814400 1830360 1882656 1906625 1921878 1952384 1961100 1984500 2059155 2091840 2116800 2135420 2179000 2196432 2268000 2287950 2352000 2353320 2440480 2451375 2470986 2510208 2540160 2562504 2614800 2646000 2669275 2745540 2823984 2882817 2928576 2941650 3024000 3050600 3137760 3175200 3203130 3268500 3294648 3416672 3431925 3486400 3528000 3529980 3660720 3765312 3813250 3843756 3922200 3969000 4118310 4183680 4233600 4270840 4358000 4392864 4412475 4536000 4575900 4706640 4804695 4880960 4902750 4941972 5125008 5229600 5292000 5338550 5491080 5647968 5719875 5765634 5857152 5883300 6101200 6177465 6275520 6350400 6406260 6537000 6589296 6833344 6863850 6972800 7056000 7059960 7321440 7354125 7530624 7626500 7687512 7844400 7938000 8007825 8236620 8541680 8648451 8716000 8785728 8824950 9072000 9151800 9413280 9609390 9761920 9805500 9883944 10250016 10295775 10459200 10584000 10677100 10982160 11295936 11439750 11531268 11766600 12202400 12354930 12551040 12700800 12812520 13074000 13178592 13346375 13666688 13727700 14119920 14414085 14642880 14708250 15253000 15375024 15688800 15876000 16015650 16473240 17083360 17159625 17296902 17432000 17571456 17649900 18303600 18826560 19218780 19611000 19767888 20500032 20591550 20918400 21168000 21354200 21964320 22062375 22591872 22879500 23062536 23533200 24023475 24404800 24709860 25625040 26148000 26357184 26692750 27455400 28239840 28828170 29285760 29416500 30506000 30750048 30887325 31377600 31752000 32031300 32946480 34166720 34319250 34593804 34864000 35299800 36607200 37653120 38437560 39222000 39535776 40039125 41000064 41183100 42708400 43242255 43928640 44124750 45759000 46125072 47066400 48046950 48809600 49419720 51250080 51478875 52296000 52714368 53385500 54910800 56479680 57656340 58833000 61012000 61500096 61774650 62755200 63504000 64062600 65892960 68333440 68638500 69187608 70599600 72070425 73214400 76875120 78444000 79071552 80078250 82366200 85416800 86484510 87857280 88249500 91518000 92250144 94132800 96093900 98839440 102500160 102957750 104592000 106771000 109821600 112959360 115312680 117666000 120117375 122024000 123000192 123549300 128125200 131785920 137277000 138375216 141199200 144140850 146428800 153750240 154436625 156888000 158143104 160156500 164732400 170833600 172969020 176499000 183036000 184500288 188265600 192187800 197678880 205000320 205915500 213542000 216211275 219643200 230625360 235332000 240234750 244048000 247098600 256250400 263571840 274554000 276750432 282398400 288281700 307500480 308873250 313776000 320313000 329464800 341667200 345938040 352998000 360352125 366072000 369000576 384375600 395357760 411831000 427084000 432422550 439286400 461250720 470664000 480469500 494197200 512500800 549108000 553500864 564796800 576563400 615000960 617746500 640626000 658929600 691876080 705996000 720704250 732144000 768751200 790715520 823662000 854168000 864845100 922501440 941328000 960939000 988394400 1025001600 1081056375 1098216000 1107001728 1153126800 1235493000 1281252000 1317859200 1383752160 1411992000 1441408500 1537502400 1647324000 1708336000 1729690200 1845002880 1921878000 1976788800 2162112750 2196432000 2306253600 2470986000 2562504000 2767504320 2823984000 2882817000 3075004800 3294648000 3459380400 3843756000 3953577600 4324225500 4612507200 4941972000 5125008000 5535008640 5765634000 6589296000 6918760800 7687512000 8648451000 9225014400 9883944000 11531268000 13837521600 15375024000 17296902000 19767888000 23062536000 27675043200 34593804000 46125072000 69187608000 138375216000
- Sum of all divisors σ(n): 598110598800
- Sum of proper divisors (its aliquot sum) s(n): 459735382800
- 138375216000 is an abundant number, because the sum of its proper divisors (459735382800) is greater than itself. Its abundance is 321360166800
Bases of 138375216000
- Binary: 100000001101111100111000111011100000002
- Hexadecimal: 0x2037CE3B80
- Base-36: 1RKH1400
Squares and roots of 138375216000
- 138375216000 squared (1383752160002) is 19147700403046656000000
- 138375216000 cubed (1383752160003) is 2649567179174868082077696000000000
-
The
square root of 138375216000 is 371988.1933610261 -
The
cube root of 138375216000 is 5172.3285518641
Scales and comparisons
How big is 138375216000?- 138,375,216,000 seconds is equal to 4,399 years, 47 weeks.
-
To count from 1 to 138,375,216,000 would take you about eight thousand, seven hundred ninety-nine 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 138375216000 cubic inches would be around 431 feet tall.
Recreational maths with 138375216000
- 138375216000 backwards is 000612573831
- 138375216000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138375216000's digits is 36
- More coming soon!
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The information we have on file for 138375216000 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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