138353850144000
138,353,850,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138353850144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
138353850144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138353850144000:
28 × 35 × 53 × 31 × 61 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138353850144000 from the Numbermatics database.
Names of 138353850144000
- Cardinal: 138353850144000 can be written as One hundred thirty-eight trillion, three hundred fifty-three billion, eight hundred fifty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38353850144 × 1014
Factors of 138353850144000
Divisors of 138353850144000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 61 62 64 72 75 80 81 90 93 96 97 100 108 120 122 124 125 128 135 144 150 155 160 162 180 183 186 192 194 200 216 225 240 243 244 248 250 256 270 279 288 291 300 305 310 320 324 360 366 372 375 384 388 400 405 432 450 465 480 485 486 488 496 500 540 549 558 576 582 600 610 620 640 648 675 720 732 744 750 768 775 776 800 810 837 864 873 900 915 930 960 970 972 976 992 1000 1080 1098 1116 1125 1152 1164 1200 1215 1220 1240 1280 1296 1350 1395 1440 1455 1464 1488 1500 1525 1550 1552 1600 1620 1647 1674 1728 1746 1800 1830 1860 1891 1920 1940 1944 1952 1984 2000 2025 2160 2196 2232 2250 2304 2325 2328 2400 2425 2430 2440 2480 2511 2592 2619 2700 2745 2790 2880 2910 2928 2976 3000 3007 3050 3100 3104 3200 3240 3294 3348 3375 3456 3492 3600 3660 3720 3782 3840 3875 3880 3888 3904 3968 4000 4050 4185 4320 4365 4392 4464 4500 4575 4650 4656 4800 4850 4860 4880 4941 4960 5022 5184 5238 5400 5490 5580 5673 5760 5820 5856 5917 5952 6000 6014 6075 6100 6200 6208 6400 6480 6588 6696 6750 6912 6975 6984 7200 7275 7320 7440 7533 7564 7625 7750 7760 7776 7808 7857 7936 8000 8100 8235 8370 8640 8730 8784 8928 9000 9021 9150 9300 9312 9409 9455 9600 9700 9720 9760 9882 9920 10044 10125 10368 10476 10800 10980 11160 11346 11520 11625 11640 11712 11834 11904 12000 12028 12125 12150 12200 12400 12416 12555 12960 13095 13176 13392 13500 13725 13950 13968 14400 14550 14640 14823 14880 15035 15066 15128 15250 15500 15520 15552 15616 15714 16000 16200 16470 16740 17019 17280 17460 17568 17751 17856 18000 18042 18300 18600 18624 18818 18910 19200 19400 19440 19520 19764 19840 20088 20250 20736 20925 20952 21600 21825 21960 22320 22692 22875 23250 23280 23424 23571 23668 23808 24000 24056 24250 24300 24400 24705 24800 24832 25110 25920 26190 26352 26784 27000 27063 27450 27900 27936 28227 28365 28800 29100 29280 29585 29646 29760 30070 30132 30256 30375 30500 31000 31040 31104 31428 32000 32400 32940 33480 34038 34560 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59430348000 59507032320 60049414125 61490600064 61986492000 63002664000 64052708400 68322888960 69176925072 69734803500 70877997000 71169676000 71316417600 72059296950 73164384000 74383790400 75603196800 76863250080 79240464000 80065885500 82648656000 84003552000 85403611200 86471156340 89145522000 89260548480 90723836160 92235900096 92979738000 94503996000 95088556800 96079062600 99178387200 102484333440 106754514000 108088945425 111575685600 113404795200 113871481600 115294875120 118860696000 120098828250 122981200128 123972984000 126005328000 128105416800 138353850144 139469607000 141755994000 142339352000 142632835200 144118593900 148767580800 151206393600 153726500160 158480928000 160131771000 165297312000 170807222400 172942312680 178291044000 178521096960 180148242375 184471800192 185959476000 189007992000 192158125200 204968666880 213509028000 216177890850 223151371200 226809590400 230589750240 237721392000 240197656500 247945968000 252010656000 256210833600 276707700288 278939214000 283511988000 284678704000 285265670400 288237187800 297535161600 307453000320 320263542000 341614444800 345884625360 356582088000 360296484750 368943600384 371918952000 378015984000 384316250400 427018056000 432355781700 446302742400 453619180800 461179500480 475442784000 480395313000 495891936000 512421667200 540444727125 553415400576 557878428000 567023976000 569357408000 576474375600 614906000640 640527084000 691769250720 713164176000 720592969500 743837904000 756031968000 768632500800 854036112000 864711563400 892605484800 922359000960 960790626000 1024843334400 1080889454250 1106830801152 1115756856000 1134047952000 1152948751200 1281054168000 1383538501440 1426328352000 1441185939000 1487675808000 1537265001600 1708072224000 1729423126800 1844718001920 1921581252000 2161778908500 2231513712000 2268095904000 2305897502400 2562108336000 2767077002880 2882371878000 3074530003200 3458846253600 3843162504000 4323557817000 4463027424000 4611795004800 5124216672000 5534154005760 5764743756000 6917692507200 7686325008000 8647115634000 9223590009600 11529487512000 13835385014400 15372650016000 17294231268000 23058975024000 27670770028800 34588462536000 46117950048000 69176925072000 138353850144000
- Sum of all divisors σ(n): 547308312026112
- Sum of proper divisors (its aliquot sum) s(n): 408954461882112
- 138353850144000 is an abundant number, because the sum of its proper divisors (408954461882112) is greater than itself. Its abundance is 270600611738112
Bases of 138353850144000
- Binary: 111110111010101000001000001011101010101000000002
- Hexadecimal: 0x7DD504175500
- Base-36: 1D1IVQ6O00
Squares and roots of 138353850144000
- 138353850144000 squared (1383538501440002) is 19141787849668408820736000000
- 138353850144000 cubed (1383538501440003) is 2648340047641263034075036303785984000000000
-
The
square root of 138353850144000 is 11762391.3446203617 -
The
cube root of 138353850144000 is 51720.6232664811
Scales and comparisons
How big is 138353850144000?- 138,353,850,144,000 seconds is equal to 4,399,224 years, 24 weeks, 6 days.
-
To count from 1 to 138,353,850,144,000 would take you about ten million, nine hundred ninety-eight thousand and sixty-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 138353850144000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138353850144000
- 138353850144000 backwards is 000441058353831
- 138353850144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138353850144000's digits is 45
- More coming soon!
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The information we have on file for 138353850144000 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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