138360047616000
138,360,047,616,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138360047616000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
138360047616000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138360047616000:
214 × 38 × 53 × 7 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 1471)See below for interesting mathematical facts about the number 138360047616000 from the Numbermatics database.
Names of 138360047616000
- Cardinal: 138360047616000 can be written as One hundred thirty-eight trillion, three hundred sixty billion, forty-seven million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38360047616 × 1014
Factors of 138360047616000
Divisors of 138360047616000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 512 525 540 560 567 576 600 630 640 648 672 675 700 720 729 750 756 768 800 810 840 864 875 896 900 945 960 972 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1215 1260 1280 1296 1344 1350 1400 1440 1458 1471 1500 1512 1536 1575 1600 1620 1680 1701 1728 1750 1792 1800 1890 1920 1944 2000 2016 2025 2048 2100 2160 2187 2240 2250 2268 2304 2400 2430 2520 2560 2592 2625 2688 2700 2800 2835 2880 2916 2942 3000 3024 3072 3150 3200 3240 3360 3375 3402 3456 3500 3584 3600 3645 3780 3840 3888 4000 4032 4050 4096 4200 4320 4374 4413 4480 4500 4536 4608 4725 4800 4860 5040 5103 5120 5184 5250 5376 5400 5600 5670 5760 5832 5884 6000 6048 6075 6144 6300 6400 6480 6561 6720 6750 6804 6912 7000 7168 7200 7290 7355 7560 7680 7776 7875 8000 8064 8100 8192 8400 8505 8640 8748 8826 8960 9000 9072 9216 9450 9600 9720 10080 10125 10206 10240 10297 10368 10500 10752 10800 10935 11200 11340 11520 11664 11768 12000 12096 12150 12288 12600 12800 12960 13122 13239 13440 13500 13608 13824 14000 14175 14336 14400 14580 14710 15120 15309 15360 15552 15750 16000 16128 16200 16384 16800 17010 17280 17496 17652 17920 18000 18144 18225 18432 18900 19200 19440 20160 20250 20412 20480 20594 20736 21000 21504 21600 21870 22065 22400 22680 23040 23328 23536 23625 24000 24192 24300 24576 25200 25515 25600 25920 26244 26478 26880 27000 27216 27648 28000 28350 28672 28800 29160 29420 30240 30375 30618 30720 30891 31104 31500 32000 32256 32400 32805 33600 34020 34560 34992 35304 35840 36000 36288 36450 36775 36864 37800 38400 38880 39717 40320 40500 40824 40960 41188 41472 42000 42525 43008 43200 43740 44130 44800 45360 45927 46080 46656 47072 47250 48000 48384 48600 49152 50400 51030 51200 51485 51840 52488 52956 53760 54000 54432 54675 55296 56000 56700 57344 57600 58320 58840 60480 60750 61236 61440 61782 62208 63000 64000 64512 64800 65610 66195 67200 68040 69120 69984 70608 70875 71680 72000 72576 72900 73550 73728 75600 76545 76800 77760 79434 80640 81000 81648 81920 82376 82944 84000 85050 86016 86400 87480 88260 89600 90720 91125 91854 92160 92673 93312 94144 94500 96000 96768 97200 100800 102060 102400 102970 103680 104976 105912 107520 108000 108864 109350 110325 110592 112000 113400 114688 115200 116640 117680 119151 120960 121500 122472 122880 123564 124416 126000 127575 128000 129024 129600 131220 132390 134400 136080 138240 139968 141216 141750 143360 144000 145152 145800 147100 147456 151200 153090 153600 154455 155520 158868 161280 162000 163296 164025 164752 165888 168000 170100 172032 172800 174960 176520 179200 181440 182250 183708 183875 184320 185346 186624 188288 189000 192000 193536 194400 198585 201600 204120 204800 205940 207360 209952 211824 212625 215040 216000 217728 218700 220650 221184 224000 226800 229635 230400 233280 235360 238302 241920 243000 244944 245760 247128 248832 252000 255150 256000 257425 258048 259200 262440 264780 268800 272160 273375 276480 278019 279936 282432 283500 286720 288000 290304 291600 294200 302400 306180 307200 308910 311040 317736 322560 324000 326592 328050 329504 330975 331776 336000 340200 344064 345600 349920 353040 357453 358400 362880 364500 367416 367750 368640 370692 373248 376576 378000 382725 384000 387072 388800 397170 403200 408240 409600 411880 414720 419904 423648 425250 430080 432000 435456 437400 441300 442368 448000 453600 459270 460800 463365 466560 470720 476604 483840 486000 489888 494256 497664 504000 510300 512000 514850 516096 518400 524880 529560 537600 544320 546750 551625 552960 556038 559872 564864 567000 573440 576000 580608 583200 588400 595755 604800 612360 614400 617820 622080 635472 637875 645120 648000 653184 656100 659008 661950 663552 672000 680400 691200 699840 706080 714906 716800 725760 729000 734832 735500 737280 741384 746496 753152 756000 765450 768000 772275 774144 777600 794340 806400 816480 820125 823760 829440 834057 839808 847296 850500 860160 864000 870912 874800 882600 896000 907200 918540 921600 926730 933120 941440 953208 967680 972000 979776 988512 992925 995328 1008000 1020600 1024000 1029700 1032192 1036800 1049760 1059120 1072359 1075200 1088640 1093500 1103250 1105920 1112076 1119744 1129728 1134000 1148175 1152000 1161216 1166400 1176800 1191510 1209600 1224720 1228800 1235640 1244160 1270944 1275750 1287125 1290240 1296000 1306368 1312200 1318016 1323900 1327104 1344000 1360800 1382400 1390095 1399680 1412160 1429812 1433600 1451520 1458000 1469664 1471000 1482768 1492992 1506304 1512000 1530900 1536000 1544550 1548288 1555200 1588680 1612800 1632960 1640250 1647520 1654875 1658880 1668114 1679616 1694592 1701000 1720320 1728000 1741824 1749600 1765200 1787265 1792000 1814400 1837080 1843200 1853460 1866240 1882880 1906416 1913625 1935360 1944000 1959552 1977024 1985850 1990656 2016000 2041200 2048000 2059400 2073600 2099520 2118240 2144718 2150400 2177280 2187000 2206500 2211840 2224152 2239488 2259456 2268000 2296350 2304000 2316825 2322432 2332800 2353600 2383020 2419200 2449440 2471280 2488320 2502171 2541888 2551500 2574250 2580480 2592000 2612736 2624400 2636032 2647800 2688000 2721600 2764800 2780190 2799360 2824320 2859624 2867200 2903040 2916000 2939328 2942000 2965536 2978775 2985984 3012608 3024000 3061800 3072000 3089100 3096576 3110400 3177360 3217077 3225600 3265920 3280500 3295040 3309750 3317760 3336228 3359232 3389184 3402000 3456000 3483648 3499200 3530400 3574530 3584000 3628800 3674160 3686400 3706920 3732480 3765760 3812832 3827250 3861375 3870720 3888000 3919104 3954048 3971700 3981312 4032000 4082400 4118800 4147200 4170285 4199040 4236480 4289436 4300800 4354560 4374000 4413000 4448304 4478976 4518912 4536000 4592700 4608000 4633650 4644864 4665600 4707200 4766040 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38433346560 38604924000 39531442176 40034736000 40670208000 40995569664 41178585600 42703718400 43237514880 43923824640 45039078000 45753984000 46120015872 47029248000 47448576000 48041683200 48804249600 49414302720 51244462080 51473232000 52708589568 53379648000 54046893600 54904780800 56938291200 57650019840 60052104000 61005312000 61493354496 61767878400 63264768000 64055577600 65885736960 67558617000 68325949440 68630976000 69180023808 71172864000 72062524800 73206374400 76866693120 77209848000 79062884352 80069472000 81340416000 82357171200 85407436800 86475029760 87847649280 90078156000 91507968000 92240031744 94058496000 94897152000 96083366400 98828605440 102488924160 102946464000 106759296000 108093787200 109809561600 113876582400 115300039680 120104208000 122010624000 122986708992 123535756800 128111155200 131771473920 135117234000 137261952000 138360047616 142345728000 144125049600 146412748800 153733386240 154419696000 158125768704 160138944000 164714342400 170814873600 172950059520 180156312000 183015936000 184480063488 189794304000 192166732800 197657210880 204977848320 205892928000 213518592000 216187574400 219619123200 230600079360 240208416000 244021248000 247071513600 256222310400 263542947840 270234468000 274523904000 276720095232 284691456000 288250099200 307466772480 308839392000 320277888000 329428684800 341629747200 345900119040 360312624000 366031872000 368960126976 384333465600 395314421760 411785856000 427037184000 432375148800 439238246400 461200158720 480416832000 494143027200 512444620800 540468936000 549047808000 553440190464 569382912000 576500198400 614933544960 617678784000 640555776000 658857369600 691800238080 720625248000 732063744000 768666931200 790628843520 823571712000 854074368000 864750297600 922400317440 960833664000 988286054400 1024889241600 1080937872000 1098095616000 1106880380928 1153000396800 1235357568000 1281111552000 1317714739200 1383600476160 1441250496000 1537333862400 1647143424000 1708148736000 1729500595200 1844800634880 1921667328000 1976572108800 2161875744000 2196191232000 2306000793600 2470715136000 2562223104000 2767200952320 2882500992000 3074667724800 3294286848000 3459001190400 3843334656000 3953144217600 4323751488000 4612001587200 4941430272000 5124446208000 5534401904640 5765001984000 6588573696000 6918002380800 7686669312000 8647502976000 9224003174400 9882860544000 11530003968000 13836004761600 15373338624000 17295005952000 19765721088000 23060007936000 27672009523200 34590011904000 46120015872000 69180023808000 138360047616000
- Sum of all divisors σ(n): 592377164101632
- Sum of proper divisors (its aliquot sum) s(n): 454017116485632
- 138360047616000 is an abundant number, because the sum of its proper divisors (454017116485632) is greater than itself. Its abundance is 315657068869632
Bases of 138360047616000
- Binary: 111110111010110011101010111110101000000000000002
- Hexadecimal: 0x7DD6757D4000
- Base-36: 1D1LQ80000
Squares and roots of 138360047616000
- 138360047616000 squared (1383600476160002) is 19143502776301787283456000000
- 138360047616000 cubed (1383600476160003) is 2648695955666143484924875449040896000000000
-
The
square root of 138360047616000 is 11762654.7860591403 -
The
cube root of 138360047616000 is 51721.3955190017
Scales and comparisons
How big is 138360047616000?- 138,360,047,616,000 seconds is equal to 4,399,421 years, 28 weeks.
-
To count from 1 to 138,360,047,616,000 would take you about ten million, nine hundred ninety-eight thousand, five hundred fifty-three 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 138360047616000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138360047616000
- 138360047616000 backwards is 000616740063831
- 138360047616000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138360047616000's digits is 45
- More coming soon!
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"Number 138360047616000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138360047616000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138360047616000/
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Numbermatics. 2024. "Number 138360047616000 - Facts about the integer". https://numbermatics.com/n/138360047616000/
The information we have on file for 138360047616000 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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