138000457728000
138,000,457,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138000457728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4352 divisors.
138000457728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred fifty-two divisors.
Prime factorization of 138000457728000:
216 × 33 × 53 × 73 × 17 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 107)See below for interesting mathematical facts about the number 138000457728000 from the Numbermatics database.
Names of 138000457728000
- Cardinal: 138000457728000 can be written as One hundred thirty-eight trillion, four hundred fifty-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38000457728 × 1014
Factors of 138000457728000
Divisors of 138000457728000
- Number of divisors d(n): 4352
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 64 68 70 72 75 80 84 85 90 96 98 100 102 105 107 108 112 119 120 125 126 128 135 136 140 144 147 150 153 160 168 170 175 180 189 192 196 200 204 210 214 216 224 225 238 240 245 250 252 255 256 270 272 280 288 294 300 306 315 320 321 336 340 343 350 357 360 375 378 384 392 400 408 420 425 428 432 441 448 450 459 476 480 490 500 504 510 512 525 535 540 544 560 576 588 595 600 612 630 640 642 672 675 680 686 700 714 720 735 749 750 756 765 768 784 800 816 833 840 850 856 864 875 882 896 900 918 945 952 960 963 980 1000 1008 1020 1024 1029 1050 1070 1071 1080 1088 1120 1125 1152 1176 1190 1200 1224 1225 1260 1275 1280 1284 1323 1344 1350 1360 1372 1400 1428 1440 1470 1498 1500 1512 1530 1536 1568 1575 1600 1605 1632 1666 1680 1700 1712 1715 1728 1750 1764 1785 1792 1800 1819 1836 1890 1904 1920 1926 1960 2000 2016 2040 2048 2058 2100 2125 2140 2142 2160 2176 2205 2240 2247 2250 2295 2304 2352 2380 2400 2448 2450 2499 2520 2550 2560 2568 2625 2646 2675 2688 2700 2720 2744 2800 2856 2880 2889 2940 2975 2996 3000 3024 3060 3072 3087 3136 3150 3200 3210 3213 3264 3332 3360 3375 3400 3424 3430 3456 3500 3528 3570 3584 3600 3638 3672 3675 3745 3780 3808 3825 3840 3852 3920 4000 4032 4080 4096 4116 4165 4200 4250 4280 4284 4320 4352 4410 4480 4494 4500 4590 4608 4704 4725 4760 4800 4815 4896 4900 4998 5040 5100 5120 5136 5145 5243 5250 5292 5350 5355 5376 5400 5440 5457 5488 5600 5712 5760 5778 5831 5880 5950 5992 6000 6048 6120 6125 6144 6174 6272 6300 6375 6400 6420 6426 6528 6615 6664 6720 6741 6750 6800 6848 6860 6912 7000 7056 7140 7168 7200 7276 7344 7350 7490 7497 7560 7616 7650 7680 7704 7840 7875 8000 8025 8064 8160 8192 8232 8330 8400 8500 8560 8568 8575 8640 8704 8820 8925 8960 8988 9000 9095 9180 9216 9261 9408 9450 9520 9600 9630 9792 9800 9996 10080 10200 10240 10272 10290 10486 10500 10584 10700 10710 10752 10800 10880 10914 10976 11025 11200 11235 11424 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438096691200 450981888000 460001525760 469389312000 479168256000 492858777600 507354624000 511112806400 539064288000 541178265600 547620864000 552001830912 563267174400 575001907200 579833856000 613335367680 616073472000 638891008000 644861952000 657145036800 676472832000 690002288640 704083968000 718752384000 730161152000 766669209600 788574044160 811767398400 821431296000 862502860800 901963776000 920003051520 938778624000 958336512000 985717555200 1014709248000 1022225612800 1078128576000 1095241728000 1104003661824 1150003814400 1159667712000 1232146944000 1277782016000 1289723904000 1314290073600 1352945664000 1380004577280 1408167936000 1437504768000 1533338419200 1623534796800 1642862592000 1725005721600 1840006103040 1916673024000 1971435110400 2029418496000 2156257152000 2190483456000 2300007628800 2464293888000 2555564032000 2705891328000 2760009154560 2816335872000 2875009536000 3066676838400 3285725184000 3450011443200 3833346048000 3942870220800 4058836992000 4312514304000 4600015257600 4928587776000 5111128064000 5520018309120 5750019072000 6571450368000 6900022886400 7666692096000 8117673984000 8625028608000 9200030515200 9857175552000 11500038144000 13800045772800 15333384192000 17250057216000 19714351104000 23000076288000 27600091545600 34500114432000 46000152576000 69000228864000 138000457728000
- Sum of all divisors σ(n): 635985851904000
- Sum of proper divisors (its aliquot sum) s(n): 497985394176000
- 138000457728000 is an abundant number, because the sum of its proper divisors (497985394176000) is greater than itself. Its abundance is 359984936448000
Bases of 138000457728000
- Binary: 111110110000010101111000100001100000000000000002
- Hexadecimal: 0x7D82BC430000
- Base-36: 1CX0J9GQO0
Squares and roots of 138000457728000
- 138000457728000 squared (1380004577280002) is 19044126333137514921984000000
- 138000457728000 cubed (1380004577280003) is 2628098151002835273602222209892352000000000
-
The
square root of 138000457728000 is 11747359.6066520411 -
The
cube root of 138000457728000 is 51676.5496583015
Scales and comparisons
How big is 138000457728000?- 138,000,457,728,000 seconds is equal to 4,387,987 years, 36 weeks.
-
To count from 1 to 138,000,457,728,000 would take you about ten million, nine hundred sixty-nine thousand, nine hundred sixty-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 138000457728000 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138000457728000
- 138000457728000 backwards is 000827754000831
- 138000457728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138000457728000's digits is 45
- More coming soon!
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"Number 138000457728000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138000457728000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138000457728000/
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The information we have on file for 138000457728000 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!
Keywords: Divisors of 138000457728000, math, Factors of 138000457728000, curriculum, school, college, exams, university, Prime factorization of 138000457728000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred fifty-seven million, seven hundred twenty-eight thousand.