138406916736000
138,406,916,736,000 is an even composite number composed of six prime numbers multiplied together.
138406916736000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138406916736000:
210 × 32 × 53 × 112 × 232 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 23 × 23 × 1877)See below for interesting mathematical facts about the number 138406916736000 from the Numbermatics database.
Names of 138406916736000
- Cardinal: 138406916736000 can be written as One hundred thirty-eight trillion, four hundred six billion, nine hundred sixteen million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38406916736 × 1014
Factors of 138406916736000
Divisors of 138406916736000
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 30 32 33 36 40 44 45 46 48 50 55 60 64 66 69 72 75 80 88 90 92 96 99 100 110 115 120 121 125 128 132 138 144 150 160 165 176 180 184 192 198 200 207 220 225 230 240 242 250 253 256 264 275 276 288 300 320 330 345 352 360 363 368 375 384 396 400 414 440 450 460 480 484 495 500 506 512 528 529 550 552 575 576 600 605 640 660 690 704 720 726 736 750 759 768 792 800 825 828 880 900 920 960 968 990 1000 1012 1024 1035 1056 1058 1089 1100 1104 1125 1150 1152 1200 1210 1265 1280 1320 1375 1380 1408 1440 1452 1472 1500 1518 1536 1584 1587 1600 1650 1656 1725 1760 1800 1815 1840 1877 1920 1936 1980 2000 2024 2070 2112 2116 2178 2200 2208 2250 2277 2300 2304 2400 2420 2475 2530 2560 2640 2645 2750 2760 2783 2816 2875 2880 2904 2944 3000 3025 3036 3072 3168 3174 3200 3300 3312 3450 3520 3600 3630 3680 3754 3795 3840 3872 3960 4000 4048 4125 4140 4224 4232 4356 4400 4416 4500 4554 4600 4608 4761 4800 4840 4950 5060 5120 5175 5280 5290 5445 5500 5520 5566 5631 5632 5750 5760 5808 5819 5888 6000 6050 6072 6325 6336 6348 6400 6600 6624 6900 7040 7200 7260 7360 7508 7590 7680 7744 7920 7935 8000 8096 8250 8280 8349 8448 8464 8625 8712 8800 8832 9000 9075 9108 9200 9216 9385 9522 9600 9680 9900 10120 10350 10560 10580 10890 11000 11040 11132 11262 11264 11385 11500 11520 11616 11638 11776 12000 12100 12144 12375 12650 12672 12696 12800 13200 13225 13248 13800 13915 14080 14400 14520 14720 15016 15125 15180 15360 15488 15840 15870 16000 16192 16500 16560 16698 16893 16896 16928 17250 17424 17457 17600 17664 18000 18150 18216 18400 18770 18975 19044 19200 19360 19800 20240 20647 20700 21120 21160 21780 22000 22080 22264 22524 22770 23000 23040 23232 23276 23552 23805 24000 24200 24288 24750 25047 25300 25344 25392 25600 25875 26400 26450 26496 27225 27600 27830 28155 28160 28800 29040 29095 29440 30032 30250 30360 30976 31625 31680 31740 32000 32384 33000 33120 33396 33786 33792 33856 34500 34848 34914 35200 35328 36000 36300 36432 36800 37540 37950 38088 38400 38720 39600 39675 40480 41294 41400 41745 42240 42320 43171 43560 44000 44160 44528 45048 45375 45540 46000 46080 46464 46552 46925 47610 48000 48400 48576 49500 50094 50600 50688 50784 51750 52371 52800 52900 52992 54450 55200 55660 56310 56320 56925 57600 58080 58190 58880 60064 60500 60720 61941 61952 63250 63360 63480 64000 64009 64768 66000 66125 66240 66792 67572 67712 69000 69575 69696 69828 70400 70656 72000 72600 72864 73600 75080 75900 76176 76800 77440 79200 79350 80960 82588 82800 83490 84465 84480 84640 86342 87120 87285 88000 88320 89056 90096 90750 91080 92000 92928 93104 93850 94875 95220 96000 96800 97152 99000 100188 101200 101376 101568 103235 103500 104742 105600 105800 105984 108900 110400 111320 112620 113850 115200 116160 116380 117760 119025 120128 121000 121440 123882 123904 125235 126500 126720 126960 128000 128018 129513 129536 132000 132250 132480 133584 135144 135424 136125 138000 139150 139392 139656 140775 140800 144000 145200 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240289786000 240707681280 250737168000 251648939520 261638784000 262134312000 270326009250 273531456000 276813833472 279609932800 285964704000 288347743200 300884601600 307570926080 314561174400 334316224000 346017291840 349512416000 360434679000 369085111296 376105752000 381286272000 384463657600 393201468000 401179468800 419414899200 432521614800 461356389120 480579572000 501474336000 503297879040 524268624000 540652018500 547062912000 553627666944 571929408000 576695486400 601769203200 615141852160 629122348800 668632448000 692034583680 699024832000 720869358000 752211504000 768927315200 786402936000 838829798400 865043229600 922712778240 961159144000 1002948672000 1048537248000 1081304037000 1107255333888 1143858816000 1153390972800 1203538406400 1258244697600 1384069167360 1398049664000 1441738716000 1504423008000 1537854630400 1572805872000 1730086459200 1845425556480 1922318288000 2005897344000 2097074496000 2162608074000 2306781945600 2516489395200 2768138334720 2883477432000 3008846016000 3075709260800 3145611744000 3460172918400 3844636576000 4194148992000 4325216148000 4613563891200 5536276669440 5766954864000 6017692032000 6291223488000 6920345836800 7689273152000 8650432296000 9227127782400 11533909728000 12582446976000 13840691673600 15378546304000 17300864592000 23067819456000 27681383347200 34601729184000 46135638912000 69203458368000 138406916736000
- Sum of all divisors σ(n): 573400613828952
- Sum of proper divisors (its aliquot sum) s(n): 434993697092952
- 138406916736000 is an abundant number, because the sum of its proper divisors (434993697092952) is greater than itself. Its abundance is 296586780356952
Bases of 138406916736000
- Binary: 111110111100001010111110001101101000100000000002
- Hexadecimal: 0x7DE15F1B4400
- Base-36: 1D279CNWG0
Squares and roots of 138406916736000
- 138406916736000 squared (1384069167360002) is 19156474600366036893696000000
- 138406916736000 cubed (1384069167360003) is 2651388584968160943468086355296256000000000
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The
square root of 138406916736000 is 11764646.9023086281 -
The
cube root of 138406916736000 is 51727.2350241263
Scales and comparisons
How big is 138406916736000?- 138,406,916,736,000 seconds is equal to 4,400,911 years, 43 weeks, 1 day, 16 hours.
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To count from 1 to 138,406,916,736,000 would take you about eleven million, two thousand, two hundred seventy-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 138406916736000 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138406916736000
- 138406916736000 backwards is 000637619604831
- The number of decimal digits it has is: 15
- The sum of 138406916736000's digits is 54
- More coming soon!
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The information we have on file for 138406916736000 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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