138368462561280
138,368,462,561,280 is an even composite number composed of seven prime numbers multiplied together.
138368462561280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138368462561280:
213 × 33 × 5 × 72 × 19 × 23 × 5843
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 23 × 5843)See below for interesting mathematical facts about the number 138368462561280 from the Numbermatics database.
Names of 138368462561280
- Cardinal: 138368462561280 can be written as One hundred thirty-eight trillion, three hundred sixty-eight billion, four hundred sixty-two million, five hundred sixty-one thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3836846256128 × 1014
Factors of 138368462561280
Divisors of 138368462561280
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 27 28 30 32 35 36 38 40 42 45 46 48 49 54 56 57 60 63 64 69 70 72 76 80 84 90 92 95 96 98 105 108 112 114 115 120 126 128 133 135 138 140 144 147 152 160 161 168 171 180 184 189 190 192 196 207 210 216 224 228 230 240 245 252 256 266 270 276 280 285 288 294 304 315 320 322 336 342 345 360 368 378 380 384 392 399 414 420 432 437 441 448 456 460 480 483 490 504 512 513 532 540 552 560 570 576 588 608 621 630 640 644 665 672 684 690 720 735 736 756 760 768 784 798 805 828 840 855 864 874 882 896 912 920 931 945 960 966 980 1008 1024 1026 1035 1064 1080 1104 1120 1127 1140 1152 1176 1197 1216 1242 1260 1280 1288 1311 1323 1330 1344 1368 1380 1440 1449 1470 1472 1512 1520 1536 1568 1596 1610 1656 1680 1710 1728 1748 1764 1792 1824 1840 1862 1890 1920 1932 1960 1995 2016 2048 2052 2070 2128 2160 2185 2205 2208 2240 2254 2280 2304 2352 2394 2415 2432 2484 2520 2560 2565 2576 2622 2646 2660 2688 2736 2760 2793 2880 2898 2940 2944 3024 3040 3059 3072 3105 3136 3192 3220 3312 3360 3381 3420 3456 3496 3528 3584 3591 3648 3680 3724 3780 3840 3864 3920 3933 3990 4032 4096 4104 4140 4256 4320 4347 4370 4410 4416 4480 4508 4560 4608 4655 4704 4788 4830 4864 4968 5040 5120 5130 5152 5244 5292 5320 5376 5472 5520 5586 5635 5760 5796 5843 5880 5888 5985 6048 6080 6118 6144 6210 6272 6384 6440 6555 6615 6624 6720 6762 6840 6912 6992 7056 7168 7182 7245 7296 7360 7448 7560 7680 7728 7840 7866 7980 8064 8192 8208 8280 8379 8512 8640 8694 8740 8820 8832 8960 9016 9120 9177 9216 9310 9408 9576 9660 9728 9936 10080 10143 10240 10260 10304 10488 10584 10640 10752 10944 11040 11172 11270 11520 11592 11686 11760 11776 11799 11970 12096 12160 12236 12288 12420 12544 12768 12880 13110 13230 13248 13440 13524 13680 13824 13965 13984 14112 14336 14364 14490 14592 14720 14896 15120 15295 15360 15456 15680 15732 15960 16128 16416 16560 16758 16905 17024 17280 17388 17480 17529 17640 17664 17920 17955 18032 18240 18354 18432 18620 18816 19152 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50573268480 51476362560 52018219008 52293447680 52772106240 53714465280 53944819712 54050180688 54908120064 55703889920 56894927040 57295429632 57798021120 58830128640 60055756320 60687922176 61387960320 61771635072 62666876160 62752137216 63326527488 64059473408 65022773760 66844667904 67431024640 67562725860 68635150080 69357625344 70596154368 71619287040 72066907584 73210826752 74311741440 75200251392 75859902720 77214543840 78440171520 79158159360 80074341760 80917229568 82362180096 83555834880 85943144448 86697031680 88245192960 90083634480 91031883264 91513533440 94000314240 94128205824 95492382720 96089210112 100267001856 101146536960 102952725120 104036438016 104586895360 105544212480 107428930560 108100361376 109816240128 111407779840 113789854080 115596042240 117660257280 120111512640 121375844352 122775920640 123543270144 125333752320 128118946816 130045547520 133689335808 134862049280 135125451720 137270300160 141192308736 143238574080 144133815168 146421653504 148623482880 150400502784 151719805440 154429087680 156880343040 158316318720 160148683520 161834459136 164724360192 167111669760 171886288896 173394063360 176490385920 180167268960 182063766528 183027066880 188000628480 188256411648 192178420224 200534003712 202293073920 205905450240 208072876032 214857861120 216200722752 219632480256 222815559680 227579708160 235320514560 240223025280 242751688704 247086540288 250667504640 256237893632 260091095040 269724098560 270250903440 274540600320 282384617472 286477148160 288267630336 300801005568 303439610880 308858175360 313760686080 316632637440 320297367040 329448720384 334223339520 346788126720 352980771840 360334537920 364127533056 366054133760 376001256960 384356840448 401068007424 404586147840 411810900480 429715722240 432401445504 439264960512 455159416320 470641029120 480446050560 485503377408 494173080576 501335009280 512475787264 520182190080 540501806880 549081200640 564769234944 576535260672 601602011136 606879221760 617716350720 640594734080 658897440768 668446679040 705961543680 720669075840 728255066112 732108267520 752002513920 768713680896 809172295680 823621800960 859431444480 864802891008 910318832640 941282058240 960892101120 988346161152 1002670018560 1024951574528 1040364380160 1081003613760 1098162401280 1153070521344 1203204022272 1213758443520 1235432701440 1281189468160 1317794881536 1411923087360 1441338151680 1456510132224 1504005027840 1537427361792 1647243601920 1729605782016 1820637665280 1921784202240 1976692322304 2005340037120 2162007227520 2196324802560 2306141042688 2427516887040 2470865402880 2562378936320 2823846174720 2882676303360 3008010055680 3074854723584 3294487203840 3459211564032 3641275330560 3843568404480 3953384644608 4324014455040 4612282085376 4941730805760 5124757872640 5765352606720 6016020111360 6588974407680 6918423128064 7282550661120 7687136808960 8648028910080 9224564170752 9883461611520 11530705213440 13836846256128 15374273617920 17296057820160 19766923223040 23061410426880 27673692512256 34592115640320 46122820853760 69184231280640 138368462561280
- Sum of all divisors σ(n): 628681923532800
- Sum of proper divisors (its aliquot sum) s(n): 490313460971520
- 138368462561280 is an abundant number, because the sum of its proper divisors (490313460971520) is greater than itself. Its abundance is 351944998410240
Bases of 138368462561280
- Binary: 111110111011000011010110000111100100000000000002
- Hexadecimal: 0x7DD86B0F2000
- Base-36: 1D1PLE1HC0
Squares and roots of 138368462561280
- 138368462561280 squared (1383684625612802) is 19145831431572345017755238400
- 138368462561280 cubed (1383684625612803) is 2649179259644095887753080841417001009152000
-
The
square root of 138368462561280 is 11763012.4781571153 -
The
cube root of 138368462561280 is 51722.4440487793
Scales and comparisons
How big is 138368462561280?- 138,368,462,561,280 seconds is equal to 4,399,689 years, 5 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,368,462,561,280 would take you about ten million, nine hundred ninety-nine thousand, two hundred twenty-two 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 138368462561280 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138368462561280
- 138368462561280 backwards is 082165264863831
- 138368462561280 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138368462561280's digits is 63
- More coming soon!
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"Number 138368462561280 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138368462561280 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138368462561280/
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The information we have on file for 138368462561280 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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