138172948253274000
138,172,948,253,274,000 is an even composite number composed of six prime numbers multiplied together.
138172948253274000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138172948253274000:
24 × 3 × 53 × 11 × 613 × 30372
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 61 × 61 × 61 × 3037 × 3037)See below for interesting mathematical facts about the number 138172948253274000 from the Numbermatics database.
Names of 138172948253274000
- Cardinal: 138172948253274000 can be written as One hundred thirty-eight quadrillion, one hundred seventy-two trillion, nine hundred forty-eight billion, two hundred fifty-three million, two hundred seventy-four thousand.
Scientific notation
- Scientific notation: 1.38172948253274 × 1017
Factors of 138172948253274000
Divisors of 138172948253274000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 61 66 75 80 88 100 110 120 122 125 132 150 165 176 183 200 220 240 244 250 264 275 300 305 330 366 375 400 440 488 500 528 550 600 610 660 671 732 750 825 880 915 976 1000 1100 1200 1220 1320 1342 1375 1464 1500 1525 1650 1830 2000 2013 2200 2440 2640 2684 2750 2928 3000 3037 3050 3300 3355 3660 3721 4026 4125 4400 4575 4880 5368 5500 6000 6074 6100 6600 6710 7320 7442 7625 8052 8250 9111 9150 10065 10736 11000 11163 12148 12200 13200 13420 14640 14884 15185 15250 16104 16500 16775 18222 18300 18605 20130 22000 22326 22875 24296 24400 26840 29768 30370 30500 32208 33000 33407 33550 36444 36600 37210 40260 40931 44652 45555 45750 48592 50325 53680 55815 59536 60740 61000 66000 66814 67100 72888 73200 74420 75925 80520 81862 83875 89304 91110 91500 93025 100221 100650 111630 121480 122000 122793 133628 134200 145776 148840 151850 161040 163724 167035 167750 178608 182220 183000 185257 186050 200442 201300 204655 223260 226981 227775 242960 245586 251625 267256 268400 279075 297680 303700 327448 334070 335500 364440 366000 370514 372100 379625 400884 402600 409310 446520 453962 455550 465125 491172 501105 503250 534512 555771 558150 607400 613965 654896 668140 671000 680943 728880 741028 744200 759250 801768 805200 818620 835175 893040 907924 911100 926285 930250 982344 1002210 1006500 1023275 1111542 1116300 1134905 1138875 1214800 1227930 1336280 1342000 1361886 1395375 1482056 1488400 1518500 1603536 1637240 1670350 1815848 1822200 1852570 1860500 1964688 2004420 2013000 2037827 2046550 2223084 2232600 2269810 2277750 2455860 2496791 2505525 2672560 2723772 2778855 2790750 2964112 3037000 3069825 3274480 3340700 3404715 3631696 3644400 3705140 3721000 4008840 4026000 4075654 4093100 4175875 4446168 4465200 4539620 4555500 4631425 4911720 4993582 5011050 5116375 5447544 5557710 5581500 5674525 6074000 6113481 6139650 6681400 6809430 7410280 7442000 7490373 8017680 8151308 8186200 8351750 8892336 9079240 9111000 9223369 9262850 9823440 9987164 10022100 10189135 10232750 10895088 11115420 11163000 11300677 11349050 12226962 12279300 12483955 12527625 13362800 13618860 13894275 14820560 14980746 15349125 16302616 16372400 16703500 17023575 18158480 18222000 18446738 18525700 19974328 20044200 20378270 20465500 22230840 22326000 22601354 22698100 23157125 24453924 24558600 24967910 25055250 27237720 27670107 27788550 28372625 29961492 30567405 30698250 32605232 33407000 33902031 34047150 36893476 37051400 37451865 39948656 40088400 40756540 40931000 44461680 45202708 45396200 46116845 46314250 48907848 49117200 49935820 50110500 50945675 54475440 55340214 55577100 56503385 56745250 59922984 61134810 61396500 62419775 66814000 67804062 68094300 69471375 73786952 74102800 74903730 81513080 81862000 85117875 90405416 90792400 92233690 92628500 97815696 99871640 100221000 101457059 101891350 110680428 111154200 113006770 113490500 119845968 122269620 122793000 124307447 124839550 135608124 136188600 138350535 138942750 147573904 149807460 152837025 163026160 169510155 170235750 180810832 184467380 185257000 187259325 199743280 200442000 202914118 203782700 221360856 222308400 226013540 226981000 230584225 244539240 245586000 248614894 249679100 254728375 271216248 272377200 276701070 277885500 282516925 299614920 304371177 305674050 312098875 339020310 340471500 368934760 370514000 372922341 374518650 405828236 407565400 442721712 452027080 453962000 461168450 489078480 497229788 499358200 507285295 509456750 542432496 553402140 555771000 562625509 565033850 599229840 608742354 611348100 621537235 624197750 678040620 680943000 689341297 691752675 737869520 745844682 749037300 764185125 811656472 815130800 847550775 904054160 922336900 936296625 994459576 998716400 1014570590 1018913500 1106804280 1111542000 1125251018 1130067700 1152921125 1217484708 1222696200 1243074470 1248395500 1356081240 1361886000 1378682594 1383505350 1412584625 1491689364 1498074600 1521855885 1528370250 1623312944 1687876527 1695101550 1844673800 1864611705 1872593250 1988919152 2029141180 2037827000 2068023891 2213608560 2250502036 2260135400 2305842250 2434969416 2445392400 2486148940 2496791000 2536426475 2712162480 2757365188 2767010700 2813127545 2825169250 2983378728 2996149200 3043711770 3056740500 3107686175 3375753054 3390203100 3446706485 3458763375 3689347600 3729223410 3745186500 4058282360 4075654000 4136047782 4237753875 4501004072 4520270800 4611684500 4869938832 4972297880 4993582000 5072852950 5514730376 5534021400 5626255090 5650338500 5966757456 6087423540 6113481000 6188880599 6215372350 6751506108 6780406200 6893412970 6917526750 7458446820 7490373000 7582754267 7609279425 8116564720 8272095564 8439382635 8475507750 9002008144 9223369000 9323058525 9944595760 10145705900 10340119455 11029460752 11068042800 11252510180 11300677000 12174847080 12226962000 12377761198 12430744700 12682132375 13503012216 13560812400 13786825940 13835053500 14065637725 14916893640 14980746000 15165508534 15218558850 15538430875 16544191128 16878765270 16951015500 17233532425 18446738000 18566641797 18646117050 20291411800 20680238910 22505020360 22601354000 22748262801 24349694160 24755522396 24861489400 25364264750 27006024432 27573651880 27670107000 28131275450 29833787280 30331017068 30437117700 30944402995 31076861750 33088382256 33757530540 33902031000 34320156049 34467064850 37133283594 37292234100 37913771335 38046397125 40582823600 41360477820 42196913175 45010040720 45496525602 46615292625 49511044792 49722978800 50728529500 51700597275 55147303760 55340214000 56262550900 60662034136 60874235400 61888805990 62153723500 67515061080 67804062000 68640312098 68934129700 70328188625 74266567188 74584468200 75827542670 76092794250 82720955640 84393826350 86167662125 90993051204 92833208985 93230585250 99022089584 101457059000 102960468147 103401194550 112525101800 113741314005 121324068272 121748470800 123777611980 124307447000 135030122160 137280624196 137868259400 140656377250 148533134376 149168936400 151655085340 152185588500 154722014975 165441911280 168787652700 171600780245 172335324250 181986102408 185666417970 186461170500 189568856675 202914118000 205920936294 206802389100 210984565875 225050203600 227482628010 247555223960 248614894000 258502986375 274561248392 275736518800 281312754500 297066268752 303310170680 304371177000 309444029950 337575305400 343201560490 344670648500 363972204816 371332835940 372922341000 377521716539 379137713350 411841872588 413604778200 421969131750 454965256020 464166044925 495110447920 514802340735 517005972750 549122496784 562625509000 568706570025 606620341360 608742354000 618888059900 675150610800 686403120980 689341297000 742665671880 745844682000 755043433078 758275426700 773610074875 823683745176 827209556400 843938263500 858003901225 909930512040 928332089850 947844283375 1029604681470 1034011945500 1125251018000 1132565149617 1137413140050 1237776119800 1372806241960 1378682594000 1485331343760 1510086866156 1516550853400 1547220149750 1647367490352 1687876527000 1716007802450 1819861024080 1856664179700 1887608582695 1895688566750 2059209362940 2068023891000 2093529518989 2265130299234 2274826280100 2320830224625 2475552239600 2574011703675 2745612483920 2843532850125 3020173732312 3033101706800 3094440299500 3375753054000 3432015604900 3713328359400 3775217165390 3791377133500 4118418725880 4136047782000 4187059037978 4290019506125 4530260598468 4549652560200 4641660449250 5148023407350 5662825748085 5687065700250 6040347464624 6188880599000 6280588556967 6864031209800 7426656718800 7550434330780 7582754267000 8236837451760 8374118075956 8580039012250 9060521196936 9099305120400 9283320898500 9438042913475 10296046814700 10467647594945 11325651496170 11374131400500 12377761198000 12561177113934 12870058518375 13728062419600 15100868661560 15165508534000 16748236151912 17160078024500 18121042393872 18566641797000 18876085826950 20592093629400 20935295189890 22651302992340 22748262801000 23028824708879 25122354227868 25740117036750 28314128740425 30201737323120 31402942784835 33496472303824 34320156049000 37133283594000 37752171653900 41184187258800 41870590379780 45302605984680 45496525602000 46057649417758 47190214567375 50244708455736 51480234073500 52338237974725 56628257480850 62805885569670 68640312098000 69086474126637 75504343307800 83741180759560 90605211969360 92115298835516 94380429134750 100489416911472 102960468147000 104676475949450 113256514961700 115144123544395 125611771139340 138172948253274 141570643702125 151008686615600 157014713924175 167482361519120 184230597671032 188760858269500 205920936294000 209352951898900 226513029923400 230288247088790 251223542278680 261691189873625 276345896506548 283141287404250 314029427848350 345432370633185 368461195342064 377521716539000 418705903797800 453026059846800 460576494177580 502447084557360 523382379747250 552691793013096 566282574808500 575720617721975 628058855696700 690864741266370 755043433078000 785073569620875 837411807595600 921152988355160 1046764759494500 1105383586026192 1132565149617000 1151441235443950 1256117711393400 1381729482532740 1570147139241750 1727161853165925 1842305976710320 2093529518989000 2265130299234000 2302882470887900 2512235422786800 2763458965065480 2878603088609875 3140294278483500 3454323706331850 4187059037978000 4605764941775800 5526917930130960 5757206177219750 6280588556967000 6908647412663700 8635809265829625 9211529883551600 11514412354439500 12561177113934000 13817294825327400 17271618531659250 23028824708879000 27634589650654800 34543237063318500 46057649417758000 69086474126637000 138172948253274000
- Sum of all divisors σ(n): 494228967398809344
- Sum of proper divisors (its aliquot sum) s(n): 356056019145535344
- 138172948253274000 is an abundant number, because the sum of its proper divisors (356056019145535344) is greater than itself. Its abundance is 217883070892261344
Bases of 138172948253274000
- Binary: 1111010101110001110010000011110100011010001101111100100002
- Hexadecimal: 0x1EAE3907A346F90
- Base-36: 11SI804U715C
Squares and roots of 138172948253274000
- 138172948253274000 squared (1381729482532740002) is 19091763629001934527651719076000000
- 138172948253274000 cubed (1381729482532740003) is 2637965267973822932760461507555217545254824000000000
-
The
square root of 138172948253274000 is 371716220.0567443627 -
The
cube root of 138172948253274000 is 516980.7133556419
Scales and comparisons
How big is 138172948253274000?- 138,172,948,253,274,000 seconds is equal to 4,393,472,357 years, 24 weeks, 14 hours, 20 minutes.
-
To count from 1 to 138,172,948,253,274,000 would take you about thirteen billion, one hundred eighty million, four hundred seventeen thousand and seventy-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 138172948253274000 cubic inches would be around 43081.7 feet tall.
Recreational maths with 138172948253274000
- 138172948253274000 backwards is 000472352849271831
- 138172948253274000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138172948253274000's digits is 66
- More coming soon!
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The information we have on file for 138172948253274000 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!
Keywords: Divisors of 138172948253274000, math, Factors of 138172948253274000, curriculum, school, college, exams, university, Prime factorization of 138172948253274000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred seventy-two trillion, nine hundred forty-eight billion, two hundred fifty-three million, two hundred seventy-four thousand.