87138006144000
87,138,006,144,000 is an even composite number composed of seven prime numbers multiplied together.
87138006144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 87138006144000:
210 × 3 × 53 × 72 × 312 × 61 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 31 × 61 × 79)See below for interesting mathematical facts about the number 87138006144000 from the Numbermatics database.
Names of 87138006144000
- Cardinal: 87138006144000 can be written as Eighty-seven trillion, one hundred thirty-eight billion, six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.7138006144 × 1013
Factors of 87138006144000
Divisors of 87138006144000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 61 62 64 70 75 79 80 84 93 96 98 100 105 112 120 122 124 125 128 140 147 150 155 158 160 168 175 183 186 192 196 200 210 217 224 237 240 244 245 248 250 256 280 294 300 305 310 316 320 336 350 366 372 375 384 392 395 400 420 427 434 448 465 474 480 488 490 496 500 512 525 553 560 588 600 610 620 632 640 651 672 700 732 735 744 750 768 775 784 790 800 840 854 868 875 896 915 930 948 960 961 976 980 992 1000 1024 1050 1085 1106 1120 1176 1185 1200 1220 1225 1240 1264 1280 1281 1302 1344 1400 1464 1470 1488 1500 1519 1525 1536 1550 1568 1580 1600 1659 1680 1708 1736 1750 1792 1830 1860 1891 1896 1920 1922 1952 1960 1975 1984 2000 2100 2135 2170 2212 2240 2325 2352 2370 2400 2440 2449 2450 2480 2528 2560 2562 2604 2625 2688 2765 2800 2883 2928 2940 2976 2989 3000 3038 3050 3072 3100 3136 3160 3200 3255 3318 3360 3416 3472 3500 3584 3660 3675 3720 3782 3792 3840 3844 3871 3875 3904 3920 3950 3968 4000 4200 4270 4340 4424 4480 4557 4575 4650 4704 4740 4800 4805 4819 4880 4898 4900 4960 5056 5120 5124 5208 5250 5376 5425 5530 5600 5673 5766 5856 5880 5925 5952 5978 6000 6076 6100 6125 6200 6272 6320 6400 6405 6510 6636 6720 6727 6832 6944 7000 7168 7320 7347 7350 7440 7564 7584 7595 7625 7680 7688 7742 7750 7808 7840 7900 7936 8000 8295 8400 8540 8680 8848 8960 8967 9114 9150 9300 9408 9455 9480 9600 9610 9638 9760 9796 9800 9875 9920 10112 10248 10416 10500 10675 10752 10850 11060 11200 11346 11532 11613 11625 11712 11760 11850 11904 11956 12000 12152 12200 12245 12250 12400 12544 12640 12800 12810 13020 13237 13272 13440 13454 13664 13825 13888 14000 14415 14457 14640 14694 14700 14880 14945 15128 15168 15190 15250 15360 15376 15484 15500 15616 15680 15800 15872 16000 16275 16590 16800 17080 17143 17360 17696 17920 17934 18228 18300 18375 18600 18816 18910 18960 19200 19220 19276 19355 19520 19592 19600 19750 19840 20181 20224 20496 20832 21000 21350 21504 21700 22120 22400 22692 22785 22875 23064 23226 23250 23424 23520 23700 23808 23912 24000 24025 24095 24304 24400 24490 24500 24800 25088 25280 25600 25620 26040 26474 26544 26880 26908 27125 27328 27650 27776 28000 28365 28830 28914 29280 29388 29400 29625 29760 29890 30256 30336 30380 30500 30752 30968 31000 31232 31360 31600 31744 32000 32025 32550 33180 33600 33635 33733 34160 34286 34720 35392 35840 35868 36456 36600 36735 36750 37200 37632 37820 37920 37975 38400 38440 38552 38710 39040 39184 39200 39500 39680 39711 40362 40448 40992 41475 41664 42000 42700 43400 44240 44800 44835 45384 45570 45750 46128 46452 46500 46848 47040 47089 47275 47400 47616 47824 48000 48050 48190 48608 48800 48980 49000 49600 50176 50560 51240 51429 52080 52948 53088 53375 53760 53816 54250 54656 55300 55552 56000 56730 57660 57828 58065 58560 58621 58776 58800 59250 59520 59780 60512 60672 60760 61000 61225 61504 61936 62000 62464 62720 63200 64000 64050 65100 66185 66360 67200 67270 67466 68320 68572 69125 69440 70784 71736 72075 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74096944000 77801791200 78786624000 80311526400 82988577280 85095709125 87138006144 87840732000 88916332800 89280744000 90674304000 90768756400 91917728000 93696780800 95232793600 97252239000 99586292736 100389408000 102035136000 103735721600 108922507680 110301273600 111145416000 112436136960 113460945500 116184008192 117120976000 118555110400 119040992000 124482865920 129669652000 133852544000 136153134600 137876592000 140545171200 142849190400 145230010240 148193888000 155603582400 157573248000 165977154560 170191418250 174276012288 175681464000 177832665600 178561488000 181537512800 183835456000 187393561600 194504478000 200778816000 204070272000 207471443200 217845015360 220602547200 222290832000 226921891000 232368016384 234241952000 238081984000 248965731840 259339304000 272306269200 275753184000 281090342400 285698380800 290460020480 296387776000 311207164800 340382836500 348552024576 351362928000 355665331200 357122976000 363075025600 367670912000 389008956000 401557632000 414942886400 435690030720 444581664000 453843782000 468483904000 476163968000 497931463680 518678608000 544612538400 551506368000 562180684800 580920040960 592775552000 622414329600 680765673000 697104049152 702725856000 714245952000 726150051200 778017912000 829885772800 871380061440 889163328000 907687564000 936967808000 1037357216000 1089225076800 1103012736000 1161840081920 1244828659200 1361531346000 1405451712000 1428491904000 1452300102400 1556035824000 1742760122880 1778326656000 1815375128000 2074714432000 2178450153600 2489657318400 2723062692000 2810903424000 2904600204800 3112071648000 3485520245760 3630750256000 4149428864000 4356900307200 5446125384000 5809200409600 6224143296000 7261500512000 8713800614400 10892250768000 12448286592000 14523001024000 17427601228800 21784501536000 29046002048000 43569003072000 87138006144000
- Sum of all divisors σ(n): 358598288954880
- Sum of proper divisors (its aliquot sum) s(n): 271460282810880
- 87138006144000 is an abundant number, because the sum of its proper divisors (271460282810880) is greater than itself. Its abundance is 184322276666880
Bases of 87138006144000
- Binary: 100111101000000011001011110011100010100000000002
- Hexadecimal: 0x4F4065E71400
- Base-36: UVYNB0RUO
Squares and roots of 87138006144000
- 87138006144000 squared (871380061440002) is 7593032114751781748736000000
- 87138006144000 cubed (871380061440003) is 661641679066830071056304632233984000000000
-
The
square root of 87138006144000 is 9334774.0274738307 -
The
cube root of 87138006144000 is 44333.8934099757
Scales and comparisons
How big is 87138006144000?- 87,138,006,144,000 seconds is equal to 2,770,719 years, 3 weeks, 18 hours, 40 minutes.
-
To count from 1 to 87,138,006,144,000 would take you about six million, nine hundred twenty-six thousand, seven hundred ninety-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 87138006144000 cubic inches would be around 3694.5 feet tall.
Recreational maths with 87138006144000
- 87138006144000 backwards is 00044160083178
- 87138006144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 87138006144000's digits is 42
- More coming soon!
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Cite this page
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Numbermatics. (2024). Number 87138006144000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/87138006144000/
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The information we have on file for 87138006144000 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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