138406819200000
138,406,819,200,000 is an even composite number composed of seven prime numbers multiplied together.
138406819200000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138406819200000:
210 × 3 × 55 × 13 × 17 × 89 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 89 × 733)See below for interesting mathematical facts about the number 138406819200000 from the Numbermatics database.
Names of 138406819200000
- Cardinal: 138406819200000 can be written as One hundred thirty-eight trillion, four hundred six billion, eight hundred nineteen million, two hundred thousand.
Scientific notation
- Scientific notation: 1.384068192 × 1014
Factors of 138406819200000
Divisors of 138406819200000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 89 96 100 102 104 120 125 128 130 136 150 156 160 170 178 192 195 200 204 208 221 240 250 255 256 260 267 272 300 312 320 325 340 356 375 384 390 400 408 416 425 442 445 480 500 510 512 520 534 544 600 624 625 640 650 663 680 712 733 750 768 780 800 816 832 850 884 890 960 975 1000 1020 1024 1040 1068 1088 1105 1157 1200 1248 1250 1275 1280 1300 1326 1335 1360 1424 1466 1500 1513 1536 1560 1600 1625 1632 1664 1700 1768 1780 1875 1920 1950 2000 2040 2080 2125 2136 2176 2199 2210 2225 2314 2400 2496 2500 2550 2560 2600 2652 2670 2720 2848 2932 3000 3026 3072 3120 3125 3200 3250 3264 3315 3328 3400 3471 3536 3560 3665 3750 3840 3900 4000 4080 4160 4250 4272 4352 4398 4420 4450 4539 4628 4800 4875 4992 5000 5100 5120 5200 5304 5340 5440 5525 5696 5785 5864 6000 6052 6240 6250 6375 6400 6500 6528 6630 6656 6675 6800 6942 7072 7120 7330 7500 7565 7680 7800 8000 8125 8160 8320 8500 8544 8704 8796 8840 8900 9078 9256 9375 9529 9600 9750 9984 10000 10200 10400 10608 10625 10680 10880 10995 11050 11125 11392 11570 11728 12000 12104 12461 12480 12500 12750 12800 13000 13056 13260 13312 13350 13600 13884 14144 14240 14660 15000 15130 15360 15600 16000 16250 16320 16575 16640 17000 17088 17355 17408 17592 17680 17800 18156 18325 18512 18750 19058 19200 19500 19669 19968 20000 20400 20800 21216 21250 21360 21760 21990 22100 22250 22695 22784 23140 23456 24000 24208 24375 24922 24960 25000 25500 25600 26000 26112 26520 26700 27200 27625 27768 28288 28480 28587 28925 29320 30000 30260 31200 31875 32000 32500 32640 33150 33280 33375 34000 34176 34710 35184 35360 35600 36312 36650 37024 37383 37500 37825 38116 38400 39000 39338 39936 40000 40625 40800 41600 42432 42500 42720 43520 43980 44200 44500 45390 45568 46280 46912 47645 48000 48416 48750 49844 49920 50000 51000 52000 52224 53040 53125 53400 54400 54975 55250 55536 55625 56576 56960 57174 57850 58640 59007 60000 60520 62305 62400 63750 64000 65000 65237 65280 66300 66560 66750 68000 68352 69420 70368 70720 71200 72624 73300 74048 74766 75000 75650 76232 76800 78000 78676 80000 81250 81600 82875 83200 84864 85000 85440 86775 87040 87960 88400 89000 90780 91136 91625 92560 93824 95290 96000 96832 97500 98345 99688 99840 100000 102000 104000 106080 106250 106800 108800 109950 110500 111072 111250 113152 113475 113920 114348 115700 117280 118014 120000 121040 121875 124610 124800 127500 128000 130000 130474 130560 132600 133500 136000 136704 138125 138840 140736 141440 142400 142935 144625 145248 146600 148096 149532 150000 151300 152464 156000 157352 159375 160000 161993 162500 163200 165750 166400 166875 169728 170000 170880 173550 175920 176800 178000 181560 183250 185120 186915 187648 189125 190580 192000 193664 195000 195711 196690 199376 199680 200000 204000 208000 212160 212500 213600 217600 219900 221000 222144 222500 226304 226950 227840 228696 231400 234560 236028 238225 240000 242080 243750 249220 249600 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13840681920000 17300852400000 23067803200000 27681363840000 34601704800000 46135606400000 69203409600000 138406819200000
- Sum of all divisors σ(n): 532413652095360
- Sum of proper divisors (its aliquot sum) s(n): 394006832895360
- 138406819200000 is an abundant number, because the sum of its proper divisors (394006832895360) is greater than itself. Its abundance is 255600013695360
Bases of 138406819200000
- Binary: 111110111100001010110010100101011111100000000002
- Hexadecimal: 0x7DE1594AFC00
- Base-36: 1D277QLD6O
Squares and roots of 138406819200000
- 138406819200000 squared (1384068192000002) is 19156447601061488640000000000
- 138406819200000 cubed (1384068192000003) is 2651382979634391186279333888000000000000000
-
The
square root of 138406819200000 is 11764642.7570071161 -
The
cube root of 138406819200000 is 51727.2228733155
Scales and comparisons
How big is 138406819200000?- 138,406,819,200,000 seconds is equal to 4,400,908 years, 37 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 138,406,819,200,000 would take you about eleven million, two thousand, two hundred seventy-one 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 138406819200000 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138406819200000
- 138406819200000 backwards is 000002918604831
- The number of decimal digits it has is: 15
- The sum of 138406819200000's digits is 42
- More coming soon!
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The information we have on file for 138406819200000 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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