138135920832000
138,135,920,832,000 is an even composite number composed of seven prime numbers multiplied together.
138135920832000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138135920832000:
29 × 33 × 53 × 7 × 13 × 127 × 6917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 127 × 6917)See below for interesting mathematical facts about the number 138135920832000 from the Numbermatics database.
Names of 138135920832000
- Cardinal: 138135920832000 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, nine hundred twenty million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38135920832 × 1014
Factors of 138135920832000
Divisors of 138135920832000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 125 126 127 128 130 135 140 144 150 156 160 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 250 252 254 256 260 270 273 280 288 300 312 315 320 325 336 350 351 360 364 375 378 381 384 390 400 416 420 432 448 450 455 468 480 500 504 508 512 520 525 540 546 560 576 585 600 624 630 635 640 650 672 675 700 702 720 728 750 756 762 768 780 800 819 832 840 864 875 889 896 900 910 936 945 960 975 1000 1008 1016 1040 1050 1080 1092 1120 1125 1143 1152 1170 1200 1248 1260 1270 1280 1300 1344 1350 1365 1400 1404 1440 1456 1500 1512 1524 1536 1560 1575 1600 1625 1638 1651 1664 1680 1728 1750 1755 1778 1792 1800 1820 1872 1890 1905 1920 1950 2000 2016 2032 2080 2100 2160 2184 2240 2250 2275 2286 2304 2340 2400 2457 2496 2520 2540 2560 2600 2625 2667 2688 2700 2730 2800 2808 2880 2912 2925 3000 3024 3048 3120 3150 3175 3200 3250 3276 3302 3328 3360 3375 3429 3456 3500 3510 3556 3584 3600 3640 3744 3780 3810 3840 3900 4000 4032 4064 4095 4160 4200 4320 4368 4445 4480 4500 4550 4572 4608 4680 4725 4800 4875 4914 4953 4992 5040 5080 5200 5250 5334 5376 5400 5460 5600 5616 5715 5760 5824 5850 6000 6048 6096 6240 6300 6350 6400 6500 6552 6604 6656 6720 6750 6825 6858 6912 6917 7000 7020 7112 7200 7280 7488 7560 7620 7680 7800 7875 8000 8001 8064 8128 8190 8255 8320 8400 8640 8736 8775 8890 8960 9000 9100 9144 9360 9450 9525 9600 9750 9828 9906 9984 10080 10160 10400 10500 10668 10752 10800 10920 11200 11232 11375 11430 11520 11557 11648 11700 12000 12096 12192 12285 12480 12600 12700 12800 13000 13104 13208 13335 13440 13500 13650 13716 13824 13834 14000 14040 14224 14400 14560 14625 14859 14976 15120 15240 15600 15750 15875 16000 16002 16128 16256 16380 16510 16640 16800 17145 17280 17472 17550 17780 17920 18000 18200 18288 18720 18900 19050 19200 19500 19656 19812 19968 20160 20320 20475 20751 20800 21000 21336 21600 21840 22225 22400 22464 22750 22860 23040 23114 23296 23400 23625 24000 24003 24192 24384 24570 24765 24960 25200 25400 26000 26208 26416 26670 26880 27000 27300 27432 27668 28000 28080 28448 28575 28800 29120 29250 29718 29952 30240 30480 31200 31500 31750 32000 32004 32256 32512 32760 33020 33280 33600 34125 34290 34560 34585 34671 34944 35100 35560 36000 36400 36576 37440 37800 38100 38400 39000 39312 39624 40005 40320 40640 40950 41275 41502 41600 42000 42672 43200 43680 43875 44450 44577 44800 44928 45500 45720 46228 46592 46800 47250 47625 48000 48006 48384 48419 48768 49140 49530 49920 50400 50800 52000 52416 52832 53340 53760 54000 54600 54864 55336 56000 56160 56896 57150 57600 57785 58240 58500 59436 59904 60480 60960 61425 62253 62400 63000 63500 64000 64008 65024 65520 66040 66675 67200 68250 68580 69120 69170 69342 69888 70200 71120 72000 72800 73152 74295 74880 75600 76200 78000 78624 79248 80010 80640 81280 81900 82550 83004 83200 84000 85344 85725 86400 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166028751000 168664128000 172669901040 177097334400 179864480250 181280736000 182719472000 184181227776 189747144000 191855445600 196774816000 197337029760 204645808640 205559406000 212516801280 215837376300 217536883200 219263366400 221371668000 230226534720 236129779200 239819307000 246671287200 252996192000 255807260800 263116039680 265646001600 269796720375 271921104000 274079208000 276271841664 287783168400 295162224000 303595430400 306968712960 308339109000 319759076000 328895049600 332057502000 345339802080 354194668800 359728960500 362561472000 365438944000 368362455552 379494288000 383710891200 393549632000 394674059520 411118812000 425033602560 431674752600 438526732800 442743336000 460453069440 479638614000 493342574400 505992384000 511614521600 531292003200 539593440750 543842208000 548158416000 552543683328 575566336800 590324448000 613937425920 616678218000 639518152000 657790099200 664115004000 690679604160 708389337600 719457921000 730877888000 758988576000 767421782400 789348119040 822237624000 863349505200 885486672000 920906138880 959277228000 986685148800 1023229043200 1062584006400 1079186881500 1087684416000 1096316832000 1105087366656 1151132673600 1180648896000 1233356436000 1279036304000 1315580198400 1328230008000 1381359208320 1438915842000 1517977152000 1534843564800 1644475248000 1726699010400 1770973344000 1841812277760 1918554456000 1973370297600 2125168012800 2158373763000 2192633664000 2302265347200 2466712872000 2558072608000 2656460016000 2762718416640 2877831684000 3069687129600 3288950496000 3453398020800 3541946688000 3837108912000 3946740595200 4316747526000 4604530694400 4933425744000 5116145216000 5312920032000 5525436833280 5755663368000 6577900992000 6906796041600 7674217824000 8633495052000 9209061388800 9866851488000 10625840064000 11511326736000 13813592083200 15348435648000 17266990104000 19733702976000 23022653472000 27627184166400 34533980208000 46045306944000 69067960416000 138135920832000
- Sum of all divisors σ(n): 633094839336960
- Sum of proper divisors (its aliquot sum) s(n): 494958918504960
- 138135920832000 is an abundant number, because the sum of its proper divisors (494958918504960) is greater than itself. Its abundance is 356822997672960
Bases of 138135920832000
- Binary: 111110110100010010001100111110111101110000000002
- Hexadecimal: 0x7DA2467DEE00
- Base-36: 1CYQRKP6O0
Squares and roots of 138135920832000
- 138135920832000 squared (1381359208320002) is 19081532624104571572224000000
- 138135920832000 cubed (1381359208320003) is 2635845079916534313590012234170368000000000
-
The
square root of 138135920832000 is 11753123.8754639185 -
The
cube root of 138135920832000 is 51693.4529272373
Scales and comparisons
How big is 138135920832000?- 138,135,920,832,000 seconds is equal to 4,392,295 years.
-
To count from 1 to 138,135,920,832,000 would take you about ten million, nine hundred eighty thousand, seven hundred thirty-seven 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 138135920832000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135920832000
- 138135920832000 backwards is 000238029531831
- 138135920832000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138135920832000's digits is 45
- More coming soon!
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Cite this page
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"Number 138135920832000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138135920832000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138135920832000/
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The information we have on file for 138135920832000 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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