138846400000
138,846,400,000 is an even composite number composed of five prime numbers multiplied together.
138846400000 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 138846400000:
29 × 55 × 73 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 23)See below for interesting mathematical facts about the number 138846400000 from the Numbermatics database.
Names of 138846400000
- Cardinal: 138846400000 can be written as One hundred thirty-eight billion, eight hundred forty-six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.388464 × 1011
Factors of 138846400000
Divisors of 138846400000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 49 50 55 56 64 70 77 80 88 92 98 100 110 112 115 125 128 140 154 160 161 175 176 184 196 200 220 224 230 245 250 253 256 275 280 308 320 322 343 350 352 368 385 392 400 440 448 460 490 500 506 512 539 550 560 575 616 625 640 644 686 700 704 736 770 784 800 805 875 880 896 920 980 1000 1012 1078 1100 1120 1127 1150 1225 1232 1250 1265 1280 1288 1372 1375 1400 1408 1472 1540 1568 1600 1610 1715 1750 1760 1771 1792 1840 1925 1960 2000 2024 2156 2200 2240 2254 2300 2450 2464 2500 2530 2560 2576 2695 2744 2750 2800 2816 2875 2944 3080 3125 3136 3200 3220 3430 3500 3520 3542 3584 3680 3773 3850 3920 4000 4025 4048 4312 4375 4400 4480 4508 4600 4900 4928 5000 5060 5152 5390 5488 5500 5600 5632 5635 5750 5888 6125 6160 6250 6272 6325 6400 6440 6860 6875 7000 7040 7084 7360 7546 7700 7840 7889 8000 8050 8096 8575 8624 8750 8800 8855 8960 9016 9200 9625 9800 9856 10000 10120 10304 10780 10976 11000 11200 11270 11500 11776 12250 12320 12397 12500 12544 12650 12800 12880 13475 13720 13750 14000 14080 14168 14375 14720 15092 15400 15680 15778 16000 16100 16192 17150 17248 17500 17600 17710 17920 18032 18400 18865 19250 19600 19712 20000 20125 20240 20608 21560 21875 21952 22000 22400 22540 23000 24500 24640 24794 25000 25088 25300 25760 26950 27440 27500 28000 28160 28175 28336 28750 29440 30184 30625 30800 31360 31556 31625 32000 32200 32384 34300 34375 34496 35000 35200 35420 36064 36800 37730 38500 39200 39424 39445 40000 40250 40480 41216 42875 43120 43750 43904 44000 44275 44800 45080 46000 48125 49000 49280 49588 50000 50600 51520 53900 54880 55000 56000 56350 56672 57500 58880 60368 61250 61600 61985 62720 63112 63250 64000 64400 64768 67375 68600 68750 68992 70000 70400 70840 71875 72128 73600 75460 77000 78400 78890 80000 80500 80960 82432 85750 86240 86779 87500 87808 88000 88550 89600 90160 92000 94325 96250 98000 98560 99176 100000 100625 101200 103040 107800 109760 110000 112000 112700 113344 115000 120736 122500 123200 123970 125440 126224 126500 128800 129536 134750 137200 137500 137984 140000 140800 140875 141680 143750 144256 147200 150920 153125 154000 156800 157780 158125 160000 161000 161920 171500 172480 173558 175000 175616 176000 177100 180320 184000 188650 192500 196000 197120 197225 198352 200000 201250 202400 206080 214375 215600 219520 220000 221375 224000 225400 226688 230000 240625 241472 245000 246400 247940 252448 253000 257600 269500 274400 275000 275968 280000 281750 283360 287500 288512 294400 301840 306250 308000 309925 313600 315560 316250 320000 322000 323840 336875 343000 344960 347116 350000 352000 354200 360640 368000 377300 385000 392000 394450 396704 400000 402500 404800 412160 428750 431200 433895 439040 440000 442750 448000 450800 453376 460000 471625 481250 482944 490000 492800 495880 503125 504896 506000 515200 539000 548800 550000 560000 563500 566720 575000 577024 603680 612500 616000 619850 627200 631120 632500 644000 647680 673750 686000 689920 694232 700000 704000 704375 708400 721280 736000 754600 770000 784000 788900 790625 793408 800000 805000 809600 857500 862400 867790 878080 880000 885500 901600 906752 920000 943250 962500 965888 980000 985600 986125 991760 1006250 1009792 1012000 1030400 1071875 1078000 1097600 1100000 1106875 1120000 1127000 1133440 1150000 1207360 1225000 1232000 1239700 1262240 1265000 1288000 1347500 1372000 1379840 1388464 1400000 1408750 1416800 1442560 1472000 1509200 1540000 1549625 1568000 1577800 1581250 1586816 1600000 1610000 1619200 1684375 1715000 1724800 1735580 1760000 1771000 1803200 1840000 1886500 1925000 1931776 1960000 1972250 1983520 2012500 2019584 2024000 2060800 2143750 2156000 2169475 2195200 2200000 2213750 2240000 2254000 2266880 2300000 2358125 2414720 2450000 2464000 2479400 2524480 2530000 2576000 2695000 2744000 2776928 2800000 2817500 2833600 2885120 3018400 3080000 3099250 3136000 3155600 3162500 3173632 3220000 3238400 3368750 3430000 3449600 3471160 3520000 3521875 3542000 3606400 3680000 3773000 3850000 3920000 3944500 3967040 4025000 4039168 4048000 4287500 4312000 4338950 4390400 4400000 4427500 4508000 4533760 4600000 4716250 4829440 4900000 4928000 4930625 4958800 5048960 5060000 5152000 5390000 5488000 5534375 5553856 5600000 5635000 5667200 6036800 6160000 6198500 6311200 6325000 6347264 6440000 6737500 6860000 6899200 6942320 7043750 7084000 7212800 7360000 7546000 7700000 7748125 7840000 7889000 7934080 8050000 8096000 8575000 8624000 8677900 8800000 8855000 9016000 9200000 9432500 9658880 9800000 9861250 9917600 10097920 10120000 10304000 10780000 10847375 10976000 11068750 11107712 11200000 11270000 11334400 11790625 12073600 12320000 12397000 12622400 12650000 12880000 13475000 13720000 13884640 14087500 14168000 14425600 15092000 15400000 15496250 15680000 15778000 15868160 16100000 16192000 17150000 17248000 17355800 17600000 17710000 18032000 18400000 18865000 19600000 19722500 19835200 20195840 20240000 21560000 21694750 21952000 22137500 22215424 22540000 22668800 23581250 24147200 24640000 24653125 24794000 25244800 25300000 25760000 26950000 27440000 27769280 28175000 28336000 30184000 30800000 30992500 31556000 31736320 32200000 34300000 34496000 34711600 35420000 36064000 36800000 37730000 38740625 39200000 39445000 39670400 40480000 43120000 43389500 44275000 44430848 45080000 47162500 48294400 49306250 49588000 50489600 50600000 51520000 53900000 54236875 54880000 55538560 56350000 56672000 60368000 61600000 61985000 63112000 64400000 68600000 69423200 70840000 72128000 75460000 77481250 78400000 78890000 79340800 80960000 86240000 86779000 88550000 90160000 94325000 98612500 99176000 100979200 101200000 107800000 108473750 109760000 111077120 112700000 113344000 120736000 123200000 123970000 126224000 128800000 137200000 138846400 141680000 150920000 154962500 157780000 158681600 172480000 173558000 177100000 180320000 188650000 197225000 198352000 202400000 215600000 216947500 222154240 225400000 241472000 247940000 252448000 257600000 271184375 274400000 277692800 283360000 301840000 309925000 315560000 347116000 354200000 360640000 377300000 394450000 396704000 404800000 431200000 433895000 450800000 495880000 504896000 542368750 548800000 555385600 566720000 603680000 619850000 631120000 694232000 708400000 754600000 788900000 793408000 862400000 867790000 901600000 991760000 1084737500 1110771200 1207360000 1239700000 1262240000 1388464000 1416800000 1509200000 1577800000 1735580000 1803200000 1983520000 2169475000 2479400000 2524480000 2776928000 2833600000 3018400000 3155600000 3471160000 3967040000 4338950000 4958800000 5553856000 6036800000 6311200000 6942320000 8677900000 9917600000 12622400000 13884640000 17355800000 19835200000 27769280000 34711600000 69423200000 138846400000
- Sum of all divisors σ(n): 460320537600
- Sum of proper divisors (its aliquot sum) s(n): 321474137600
- 138846400000 is an abundant number, because the sum of its proper divisors (321474137600) is greater than itself. Its abundance is 182627737600
Bases of 138846400000
- Binary: 100000010100111110001111101110000000002
- Hexadecimal: 0x2053E3EE00
- Base-36: 1RS9K7WG
Squares and roots of 138846400000
- 138846400000 squared (1388464000002) is 19278322792960000000000
- 138846400000 cubed (1388464000003) is 2676725717840441344000000000000000
-
The
square root of 138846400000 is 372620.9870632625 -
The
cube root of 138846400000 is 5178.1926979693
Scales and comparisons
How big is 138846400000?- 138,846,400,000 seconds is equal to 4,414 years, 46 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,846,400,000 would take you about eight thousand, eight hundred twenty-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 138846400000 cubic inches would be around 431.5 feet tall.
Recreational maths with 138846400000
- 138846400000 backwards is 000004648831
- The number of decimal digits it has is: 12
- The sum of 138846400000's digits is 34
- More coming soon!
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