138206803207200
138,206,803,207,200 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138206803207200 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
138206803207200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138206803207200:
25 × 3 × 52 × 7 × 13 × 37 × 41 × 157 × 2657
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 37 × 41 × 157 × 2657)See below for interesting mathematical facts about the number 138206803207200 from the Numbermatics database.
Names of 138206803207200
- Cardinal: 138206803207200 can be written as One hundred thirty-eight trillion, two hundred six billion, eight hundred three million, two hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.382068032072 × 1014
Factors of 138206803207200
Divisors of 138206803207200
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 37 39 40 41 42 48 50 52 56 60 65 70 74 75 78 80 82 84 91 96 100 104 105 111 112 120 123 130 140 148 150 156 157 160 164 168 175 182 185 195 200 205 208 210 222 224 240 246 259 260 273 280 287 296 300 312 314 325 328 336 350 364 370 390 400 410 416 420 444 455 471 480 481 492 518 520 525 533 546 555 560 574 592 600 615 624 628 650 656 672 700 728 740 777 780 785 800 820 840 861 888 910 925 942 962 975 984 1025 1036 1040 1050 1066 1092 1099 1110 1120 1148 1184 1200 1230 1248 1256 1295 1300 1312 1365 1400 1435 1443 1456 1480 1517 1554 1560 1570 1599 1640 1680 1722 1776 1820 1850 1884 1924 1950 1968 2041 2050 2072 2080 2100 2132 2184 2198 2220 2275 2296 2355 2400 2405 2460 2512 2590 2600 2657 2665 2730 2775 2800 2870 2886 2912 2960 3034 3075 3108 3120 3140 3198 3280 3297 3360 3367 3444 3552 3640 3700 3731 3768 3848 3885 3900 3925 3936 4082 4100 4144 4200 4264 4305 4368 4396 4440 4550 4551 4592 4710 4810 4920 5024 5180 5200 5314 5330 5460 5495 5550 5600 5740 5772 5809 5920 6068 6123 6150 6216 6240 6280 6396 6437 6475 6560 6594 6734 6825 6888 7175 7215 7280 7400 7462 7536 7585 7696 7770 7800 7850 7971 7995 8164 8200 8288 8400 8528 8610 8736 8792 8880 9100 9102 9184 9420 9620 9840 10101 10205 10360 10400 10619 10628 10660 10920 10990 11100 11193 11480 11544 11618 11775 12025 12136 12246 12300 12432 12560 12792 12874 12950 13188 13285 13325 13468 13650 13776 14287 14350 14430 14560 14800 14924 15072 15170 15392 15540 15600 15700 15942 15990 16328 16400 16485 16800 16835 17056 17220 17427 17584 17760 18200 18204 18599 18655 18840 19240 19311 19425 19680 19721 20202 20410 20720 21238 21256 21320 21525 21840 21980 22200 22386 22755 22960 23088 23236 23550 24050 24272 24492 24600 24864 25120 25584 25748 25900 26376 26570 26650 26936 27300 27475 27552 28574 28700 28860 29045 29600 29848 30340 30615 31080 31200 31400 31857 31884 31980 32185 32656 32800 32970 33670 34440 34541 34854 35168 36075 36400 36408 37198 37310 37680 37925 38480 38622 38850 39442 39855 39975 40404 40663 40820 41440 42476 42512 42640 42861 43050 43680 43960 44400 44772 45059 45510 45920 46176 46472 47100 48100 48544 48984 49200 50505 51025 51168 51496 51800 52752 53095 53140 53300 53872 54600 54950 55797 55965 57148 57400 57720 58090 59163 59696 60680 61230 62160 62800 63714 63768 63960 64370 65312 65940 66425 67340 68880 69082 69708 71435 72150 72800 72816 74396 74620 75360 75517 75850 76960 77244 77700 78884 79710 79950 80808 81326 81640 82425 83681 84175 84952 85024 85280 85722 86100 87135 87920 88800 89544 90118 91020 92944 92995 93275 94200 96200 96555 97968 98309 98400 98605 101010 102050 102992 103600 103623 105504 106190 106280 106600 107744 108937 109200 109900 111594 111930 113775 114296 114800 115440 116180 118326 119392 121360 121989 122460 124320 125600 127428 127536 127920 128740 131880 132850 134680 135177 137760 138047 138164 139416 142870 144300 145225 145632 148792 149240 151034 151700 153075 154488 155400 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885941046200 921378688048 933829751400 987191451480 1063129255440 1123632546400 1151723360060 1233989314350 1245106335200 1316255268640 1328911569300 1382068032072 1439654200075 1518756079200 1645319085800 1685448819600 1727585040090 1771882092400 1842757376096 1867659502800 1974382902960 2126258510880 2303446720120 2467978628700 2657823138600 2764136064144 2879308400150 3290638171600 3370897639200 3455170080180 3543764184800 3735319005600 3948765805920 4318962600225 4606893440240 4935957257400 5315646277200 5528272128288 5758616800300 6581276343200 6910340160360 8637925200450 9213786880480 9871914514800 10631292554400 11517233600600 13820680320720 17275850400900 19743829029600 23034467201200 27641360641440 34551700801800 46068934402400 69103401603600 138206803207200
- Sum of all divisors σ(n): 586442191297536
- Sum of proper divisors (its aliquot sum) s(n): 448235388090336
- 138206803207200 is an abundant number, because the sum of its proper divisors (448235388090336) is greater than itself. Its abundance is 310028584883136
Bases of 138206803207200
- Binary: 111110110110010110001110110100100100100001000002
- Hexadecimal: 0x7DB2C7692420
- Base-36: 1CZNBU8HEO
Squares and roots of 138206803207200
- 138206803207200 squared (1382068032072002) is 19101120452753708206131840000
- 138206803207200 cubed (1382068032072003) is 2639904795450754715374914943218037248000000
-
The
square root of 138206803207200 is 11756138.9583145027 -
The
cube root of 138206803207200 is 51702.2933218933
Scales and comparisons
How big is 138206803207200?- 138,206,803,207,200 seconds is equal to 4,394,548 years, 43 weeks, 4 days, 20 hours, 40 minutes.
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To count from 1 to 138,206,803,207,200 would take you about ten million, nine hundred eighty-six thousand, three hundred seventy-two 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 138206803207200 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138206803207200
- 138206803207200 backwards is 002702308602831
- 138206803207200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138206803207200's digits is 42
- More coming soon!
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The information we have on file for 138206803207200 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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