138314373516000
138,314,373,516,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138314373516000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138314373516000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138314373516000:
25 × 32 × 53 × 113 × 16992
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 1699 × 1699)See below for interesting mathematical facts about the number 138314373516000 from the Numbermatics database.
Names of 138314373516000
- Cardinal: 138314373516000 can be written as One hundred thirty-eight trillion, three hundred fourteen billion, three hundred seventy-three million, five hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38314373516 × 1014
Factors of 138314373516000
Divisors of 138314373516000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 96 99 100 110 120 121 125 132 144 150 160 165 176 180 198 200 220 225 240 242 250 264 275 288 300 330 352 360 363 375 396 400 440 450 480 484 495 500 528 550 600 605 660 720 726 750 792 800 825 880 900 968 990 1000 1056 1089 1100 1125 1200 1210 1320 1331 1375 1440 1452 1500 1584 1650 1699 1760 1800 1815 1936 1980 2000 2178 2200 2250 2400 2420 2475 2640 2662 2750 2904 3000 3025 3168 3300 3398 3600 3630 3872 3960 3993 4000 4125 4356 4400 4500 4840 4950 5097 5280 5324 5445 5500 5808 6000 6050 6600 6655 6796 7200 7260 7920 7986 8250 8495 8712 8800 9000 9075 9680 9900 10194 10648 10890 11000 11616 11979 12000 12100 12375 13200 13310 13592 14520 15125 15291 15840 15972 16500 16990 17424 18000 18150 18689 19360 19800 19965 20388 21296 21780 22000 23958 24200 24750 25485 26400 26620 27184 27225 29040 30250 30582 31944 33000 33275 33980 34848 36000 36300 37378 39600 39930 40776 42475 42592 43560 44000 45375 47916 48400 49500 50970 53240 54368 54450 56067 58080 59895 60500 61164 63888 66000 66550 67960 72600 74756 76455 79200 79860 81552 84950 87120 90750 93445 95832 96800 99000 99825 101940 106480 108900 112134 119790 121000 122328 127425 127776 132000 133100 135920 136125 145200 149512 152910 159720 163104 166375 168201 169900 174240 181500 186890 191664 198000 199650 203880 205579 212375 212960 217800 224268 239580 242000 244656 254850 266200 271840 272250 280335 290400 299024 299475 305820 319440 332750 336402 339800 363000 373780 382275 383328 396000 399300 407760 411158 424750 435600 448536 467225 479160 484000 489312 499125 509700 532400 544500 560670 598048 598950 611640 616737 637125 638880 665500 672804 679600 726000 747560 764550 798600 815520 822316 841005 849500 871200 897072 934450 958320 998250 1019400 1027895 1064800 1089000 1121340 1197900 1223280 1233474 1274250 1331000 1345608 1359200 1401675 1452000 1495120 1497375 1529100 1597200 1644632 1682010 1699000 1794144 1850211 1868900 1911375 1916640 1996500 2038800 2055790 2178000 2242680 2261369 2336125 2395800 2446560 2466948 2548500 2662000 2691216 2803350 2886601 2990240 2994750 3058200 3083685 3194400 3289264 3364020 3398000 3700422 3737800 3822750 3993000 4077600 4111580 4205025 4356000 4485360 4522738 4672250 4791600 4933896 5097000 5139475 5324000 5382432 5606700 5773202 5989500 6116400 6167370 6578528 6728040 6784107 6796000 7008375 7400844 7475600 7645500 7986000 8223160 8410050 8659803 8970720 9045476 9251055 9344500 9583200 9867792 10194000 10278950 11213400 11306845 11546404 11979000 12232800 12334740 13456080 13568214 14016750 14433005 14801688 14951200 15291000 15418425 15972000 16446320 16820100 17319606 18090952 18502110 18689000 19735584 20352321 20388000 20557900 21025125 22426800 22613690 23092808 23958000 24669480 25697375 25979409 26912160 27136428 28033500 28866010 29603376 30582000 30836850 31752611 32892640 33640200 33920535 34639212 36181904 37004220 37378000 40704642 41115800 42050250 43299015 44853600 45227380 46185616 46255275 47916000 49338960 51394750 51958818 54272856 56067000 56534225 57732020 59206752 61164000 61673700 63505222 67280400 67841070 69278424 72165025 72363808 74008440 74756000 77092125 81409284 82231600 84100500 86598030 90454760 92371232 92510550 95257833 98677920 101761605 102789500 103917636 108545712 112134000 113068450 115464040 123347400 127010444 129897045 134560800 135682140 138556848 144330050 148016880 154184250 158763055 162818568 164463200 168201000 169602675 173196060 180909520 185021100 190515666 203523210 205579000 207835272 216495075 217091424 224268000 226136900 230928080 231276375 246694800 254020888 259794090 271364280 277113696 282671125 285773499 288660100 296033760 308368500 317526110 325637136 336402000 339205350 346392120 349278721 360825125 361819040 370042200 381031332 407046420 411158000 415670544 432990150 452273800 461856160 462552750 476289165 493389600 508041776 508808025 519588180 542728560 565342250 571546998 577320200 616737000 635052220 649485225 651274272 672804000 678410700 692784240 698557442 721650250 740084400 762062664 793815275 814092840 822316000 831341088 848013375 865980300 904547600 925105500 952578330 1016083552 1017616050 1039176360 1047836163 1082475375 1085457120 1130684500 1143093996 1154640400 1233474000 1270104440 1298970450 1356821400 1385568480 1397114884 1428867495 1443300500 1480168800 1524125328 1587630550 1628185680 1696026750 1731960600 1746393605 1809095200 1850211000 1905156660 2035232100 2078352720 2095672326 2164950750 2261369000 2286187992 2309280800 2381445825 2466948000 2540208880 2544040125 2597940900 2713642800 2794229768 2857734990 2886601000 3048250656 3143508489 3175261100 3247426125 3256371360 3392053500 3463921200 3492787210 3700422000 3810313320 3842065931 3969076375 4070464200 4156705440 4191344652 4329901500 4522738000 4572375984 4762891650 5080417760 5088080250 5195881800 5239180815 5427285600 5588459536 5715469980 5773202000 6287016978 6350522200 6494852250 6784107000 6927842400 6985574420 7144337475 7400844000 7620626640 7684131862 7938152750 8140928400 8382689304 8659803000 8731968025 9045476000 9144751968 9525783300 10176160500 10391763600 10478361630 11176919072 11430939960 11526197793 11546404000 11907229125 12574033956 12701044400 12989704500 13568214000 13971148840 14288674950 15241253280 15368263724 15717542445 15876305500 16281856800 16765378608 17319606000 17463936050 19051566600 19210329655 20352321000 20783527200 20956723260 22861879920 23052395586 23814458250 25148067912 25402088800 25979409000 26195904075 27136428000 27942297680 28577349900 30736527448 31435084890 31752611000 33530757216 34578593379 34639212000 34927872100 35721687375 38103133200 38420659310 40704642000 41913446520 43659840125 45723759840 46104791172 47628916500 50296135824 51958818000 52391808150 55884595360 57154699800 57630988965 61473054896 62870169780 63505222000 69157186758 69855744200 71443374750 76206266400 76841318620 78587712225 81409284000 83826893040 87319680250 92209582344 95257833000 96051648275 100592271648 103917636000 104783616300 114309399600 115261977930 122946109792 125740339560 127010444000 130979520375 138314373516 139711488400 142886749500 153682637240 157175424450 167653786080 172892966895 174639360500 184419164688 190515666000 192103296550 209567232600 228618799200 230523955860 251480679120 261959040750 276628747032 279422976800 285773499000 288154944825 307365274480 314350848900 345785933790 349278721000 368838329376 381031332000 384206593100 392938561125 419134465200 461047911720 480258241375 502961358240 523918081500 553257494064 571546998000 576309889650 614730548960 628701697800 691571867580 698557442000 768413186200 785877122250 838268930400 864464834475 922095823440 960516482750 1047836163000 1106514988128 1143093996000 1152619779300 1257403395600 1383143735160 1397114884000 1440774724125 1536826372400 1571754244500 1728929668950 1844191646880 1921032965500 2095672326000 2305239558600 2514806791200 2766287470320 2881549448250 3073652744800 3143508489000 3457859337900 3842065931000 4191344652000 4322324172375 4610479117200 5532574940640 5763098896500 6287016978000 6915718675800 7684131862000 8644648344750 9220958234400 11526197793000 12574033956000 13831437351600 15368263724000 17289296689500 23052395586000 27662874703200 34578593379000 46104791172000 69157186758000 138314373516000
- Sum of all divisors σ(n): 540246581443296
- Sum of proper divisors (its aliquot sum) s(n): 401932207927296
- 138314373516000 is an abundant number, because the sum of its proper divisors (401932207927296) is greater than itself. Its abundance is 263617834411296
Bases of 138314373516000
- Binary: 111110111001011110100110001100111001010111000002
- Hexadecimal: 0x7DCBD319CAE0
- Base-36: 1D10QUTIW0
Squares and roots of 138314373516000
- 138314373516000 squared (1383143735160002) is 19130865921123562202256000000
- 138314373516000 cubed (1383143735160003) is 2646073734698799776831295921852096000000000
-
The
square root of 138314373516000 is 11760713.1380711773 -
The
cube root of 138314373516000 is 51715.7036346209
Scales and comparisons
How big is 138314373516000?- 138,314,373,516,000 seconds is equal to 4,397,969 years, 12 weeks, 4 days, 14 hours.
-
To count from 1 to 138,314,373,516,000 would take you about ten million, nine hundred ninety-four thousand, nine hundred twenty-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 138314373516000 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138314373516000
- 138314373516000 backwards is 000615373413831
- 138314373516000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138314373516000's digits is 45
- More coming soon!
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The information we have on file for 138314373516000 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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