138142417792000
138,142,417,792,000 is an even composite number composed of six prime numbers multiplied together.
138142417792000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138142417792000:
210 × 53 × 17 × 19 × 293 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 19 × 29 × 29 × 29 × 137)See below for interesting mathematical facts about the number 138142417792000 from the Numbermatics database.
Names of 138142417792000
- Cardinal: 138142417792000 can be written as One hundred thirty-eight trillion, one hundred forty-two billion, four hundred seventeen million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.38142417792 × 1014
Factors of 138142417792000
Divisors of 138142417792000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 29 32 34 38 40 50 58 64 68 76 80 85 95 100 116 125 128 136 137 145 152 160 170 190 200 232 250 256 272 274 290 304 320 323 340 380 400 425 464 475 493 500 512 544 548 551 580 608 640 646 680 685 725 760 800 841 850 928 950 986 1000 1024 1088 1096 1102 1160 1216 1280 1292 1360 1370 1450 1520 1600 1615 1682 1700 1856 1900 1972 2000 2125 2176 2192 2204 2320 2329 2375 2432 2465 2560 2584 2603 2720 2740 2755 2900 3040 3200 3230 3364 3400 3425 3625 3712 3800 3944 3973 4000 4205 4250 4352 4384 4408 4640 4658 4750 4864 4930 5120 5168 5206 5440 5480 5510 5800 6080 6400 6460 6728 6800 6850 7250 7424 7600 7888 7946 8000 8075 8410 8500 8704 8768 8816 9280 9316 9367 9500 9728 9860 10336 10412 10880 10960 11020 11600 11645 12160 12325 12800 12920 13015 13456 13600 13700 13775 14297 14500 14848 15200 15776 15892 15979 16000 16150 16820 17000 17125 17408 17536 17632 18560 18632 18734 19000 19456 19720 19865 20672 20824 21025 21760 21920 22040 23200 23290 24320 24389 24650 25600 25840 26030 26912 27200 27400 27550 28594 29000 29696 30400 31552 31784 31958 32000 32300 33640 34000 34250 35072 35264 37120 37264 37468 38000 39440 39730 40375 41344 41648 42050 43520 43840 44080 44251 46400 46580 46835 48640 48778 49300 51680 52060 53824 54400 54800 55100 57188 58000 58225 60800 61625 63104 63568 63916 64000 64600 65075 67280 67541 68000 68500 68875 70144 70528 71485 74240 74528 74936 75487 76000 78880 79460 79895 80750 82688 83296 84100 87040 87680 88160 88502 92800 93160 93670 97280 97556 98600 99325 103360 104120 105125 107648 108800 109600 110200 114376 115217 116000 116450 121600 121945 123250 126208 127136 127832 128000 129200 130150 134560 135082 136000 137000 137750 140288 141056 142970 148480 149056 149872 150974 152000 157760 158920 159790 161500 165376 166592 168200 175360 176320 177004 185600 186320 187340 195112 197200 198650 206720 208240 210250 215296 217600 219200 220400 221255 228752 230434 232000 232900 234175 243200 243890 246500 252416 254272 255664 258400 260300 269120 270164 271643 272000 274000 275500 282112 285940 291125 298112 299744 301948 304000 315520 317840 319580 323000 325375 330752 333184 336400 337705 350720 352640 354008 357425 371200 372640 374680 377435 390224 394400 397300 399475 413440 414613 416480 420500 430592 435200 438400 440800 442510 457504 460868 463391 464000 465800 468350 486400 487780 493000 496625 504832 508544 511328 516800 520600 538240 540328 543286 544000 548000 551000 564224 571880 576085 582250 596224 599488 603896 608000 609725 631040 635680 639160 646000 650750 666368 672800 675410 701440 705280 708016 714850 742400 745280 749360 754870 780448 788800 794600 798950 826880 829226 832960 841000 861184 876800 881600 885020 915008 921736 926782 928000 931600 936700 975560 986000 993250 1017088 1022656 1033600 1041200 1076480 1080656 1086572 1088000 1096000 1102000 1106275 1143760 1152170 1164500 1170875 1192448 1198976 1207792 1216000 1219450 1262080 1271360 1278320 1283279 1292000 1301500 1332736 1345600 1350820 1358215 1410560 1416032 1429700 1490560 1498720 1509740 1560896 1577600 1589200 1597900 1653760 1658452 1665920 1682000 1688525 1753600 1763200 1770040 1787125 1830016 1843472 1853564 1856000 1863200 1873400 1887175 1951120 1958689 1972000 1986500 1997375 2034176 2045312 2067200 2073065 2082400 2152960 2161312 2173144 2176000 2189123 2192000 2204000 2212550 2287520 2304340 2316955 2329000 2341750 2384896 2397952 2415584 2432000 2438900 2524160 2542720 2556640 2566558 2584000 2603000 2665472 2691200 2701640 2716430 2821120 2832064 2859400 2880425 2981120 2997440 3019480 3048625 3121792 3155200 3178400 3195800 3316904 3331840 3341293 3364000 3377050 3507200 3526400 3540080 3574250 3660032 3686944 3707128 3712000 3726400 3746800 3774350 3902240 3917378 3944000 3973000 3994750 4068352 4090624 4134400 4146130 4164800 4305920 4322624 4346288 4378246 4384000 4408000 4425100 4575040 4608680 4633910 4658000 4683500 4795904 4831168 4877800 5085440 5113280 5133116 5168000 5206000 5382400 5403280 5432860 5531375 5664128 5718800 5760850 5962240 5994880 6038960 6097250 6243584 6310400 6356800 6391600 6416395 6633808 6663680 6682586 6728000 6754100 6791075 7052800 7080160 7148500 7320064 7373888 7414256 7452800 7493600 7548700 7804480 7834756 7877647 7888000 7946000 7989500 8181248 8268800 8292260 8329600 8442625 8645248 8692576 8756492 8768000 8816000 8850200 9150080 9217360 9267820 9316000 9367000 9435875 9591808 9662336 9755600 9793445 10170880 10226560 10266232 10336000 10365325 10412000 10764800 10806560 10865720 10945615 11062750 11328256 11437600 11521700 11584775 11924480 11989760 12077920 12194500 12487168 12620800 12713600 12783200 12832790 13267616 13327360 13365172 13456000 13508200 13582150 14105600 14160320 14297000 14402125 14640128 14747776 14828512 14905600 14987200 15097400 15608960 15669512 15755294 15776000 15892000 15979000 16362496 16584520 16659200 16706465 16885250 17290496 17385152 17512984 17536000 17632000 17700400 18300160 18434720 18535640 18632000 18734000 18871750 19324672 19511200 19586890 20341760 20453120 20532464 20672000 20730650 20824000 21529600 21613120 21731440 21891230 22125500 22656512 22875200 23043400 23169550 23979520 24155840 24389000 24974336 25427200 25566400 25665580 26535232 26730344 26912000 27016400 27164300 28320640 28594000 28804250 29495552 29657024 29811200 29974400 30194800 31217920 31339024 31510588 31552000 31784000 31958000 32081975 33169040 33318400 33412930 33770500 33955375 34580992 34770304 35025968 35264000 35400800 36600320 36869440 37071280 37215091 37264000 37468000 37743500 38649344 39022400 39173780 39388235 40906240 41064928 41344000 41461300 41648000 43226240 43462880 43782460 44251000 45313024 45750400 46086800 46339100 47959040 48311680 48778000 48967225 50854400 51132800 51331160 51826625 53070464 53460688 53824000 54032800 54328600 54728075 56641280 56801981 57188000 57608500 57923875 58991104 59314048 59622400 59948800 60389600 62435840 62678048 63021176 63104000 63484567 63568000 63916000 64163950 66338080 66636800 66825860 67541000 67910750 69161984 69540608 70051936 70528000 70801600 73200640 73738880 74142560 74430182 74528000 74936000 75487000 77298688 78044800 78347560 78776470 81812480 82129856 82922600 83296000 83532325 86452480 86925760 87564920 88502000 91500800 92173600 92678200 96623360 97556000 97934450 101708800 102265600 102662320 103653250 106140928 106921376 107648000 108065600 108657200 109456150 113282560 113603962 114376000 115217000 115847750 117982208 118628096 119897600 120779200 124871680 125356096 126042352 126969134 127136000 127832000 128327900 132676160 133651720 135082000 135821500 139081216 140103872 141603200 147477760 148285120 148860364 149056000 149872000 150974000 156089600 156695120 157552940 160409875 164259712 165845200 166592000 167064650 172904960 173851520 175129840 177004000 183001600 184347200 185356400 186075455 193246720 195112000 195868900 196941175 204531200 205324640 207306500 212281856 213842752 216131200 217314400 218912300 226565120 227207924 228752000 230434000 231695500 237256192 239795200 241558400 244836125 250712192 252084704 253938268 254272000 255664000 256655800 265352320 267303440 270164000 271643000 273640375 278162432 280207744 283206400 284009905 294955520 296570240 297720728 298112000 299744000 301948000 312179200 313390240 315105880 317422835 320819750 328519424 331690400 333184000 334129300 345809920 347703040 350259680 354008000 366003200 368694400 370712800 372150910 386493440 390224000 391737800 393882350 409062400 410649280 414613000 417661625 424563712 427685504 432262400 434628800 437824600 454415848 457504000 460868000 463391000 474512384 483116800 489672250 501424384 504169408 507876536 508544000 511328000 513311600 530704640 534606880 540328000 543286000 547280750 560415488 566412800 568019810 589911040 593140480 595441456 599488000 603896000 624358400 626780480 630211760 634845670 641639500 657038848 663380800 668258600 695406080 700519360 708016000 737388800 741425600 744301820 780448000 783475600 787764700 821298560 829226000 835323250 855371008 864524800 869257600 875649200 908831696 915008000 921736000 926782000 930377275 966233600 979344500 984705875 1002848768 1008338816 1015753072 1022656000 1026623200 1061409280 1069213760 1079237639 1080656000 1086572000 1094561500 1120830976 1132825600 1136039620 1186280960 1190882912 1198976000 1207792000 1253560960 1260423520 1269691340 1283279000 1314077696 1326761600 1336517200 1390812160 1401038720 1416032000 1420049525 1474777600 1482851200 1488603640 1560896000 1566951200 1575529400 1587114175 1642597120 1658452000 1670646500 1710742016 1729049600 1738515200 1751298400 1817663392 1830016000 1843472000 1853564000 1860754550 1932467200 1958689000 1969411750 2005697536 2016677632 2031506144 2045312000 2053246400 2122818560 2138427520 2158475278 2161312000 2173144000 2189123000 2241661952 2272079240 2372561920 2381765824 2415584000 2507121920 2520847040 2539382680 2566558000 2653523200 2673034400 2802077440 2832064000 2840099050 2949555200 2965702400 2977207280 3121792000 3133902400 3151058800 3174228350 3285194240 3316904000 3341293000 3421484032 3477030400 3502596800 3635326784 3686944000 3707128000 3721509100 3917378000 3938823500 4033355264 4063012288 4106492800 4276855040 4316950556 4322624000 4346288000 4378246000 4544158480 4651886375 4763531648 4831168000 5014243840 5041694080 5078765360 5133116000 5307046400 5346068800 5396188195 5604154880 5664128000 5680198100 5931404800 5954414560 6267804800 6302117600 6348456700 6570388480 6633808000 6682586000 6954060800 7005193600 7100247625 7270653568 7373888000 7414256000 7443018200 7834756000 7877647000 7935570875 8066710528 8126024576 8212985600 8553710080 8633901112 8645248000 8692576000 8756492000 9088316960 9303772750 9527063296 9662336000 10028487680 10083388160 10157530720 10266232000 10614092800 10692137600 10792376390 11208309760 11360396200 11862809600 11908829120 12535609600 12604235200 12696913400 13267616000 13365172000 14010387200 14200495250 14541307136 14747776000 14828512000 14886036400 15669512000 15755294000 15871141750 16252049152 16425971200 17107420160 17267802224 17385152000 17512984000 18176633920 18607545500 19054126592 20166776320 20315061440 20532464000 21384275200 21584752780 22720792400 23817658240 25071219200 25208470400 25393826800 26535232000 26730344000 26980940975 28020774400 28400990500 29082614272 29657024000 29772072800 31339024000 31510588000 31742283500 32504098304 32851942400 34535604448 34770304000 35025968000 36353267840 37215091000 38108253184 40333552640 40630122880 41064928000 42768550400 43169505560 45441584800 47635316480 50142438400 50416940800 50787653600 53070464000 53460688000 53961881950 56041548800 56801981000 58165228544 59314048000 59544145600 62678048000 63021176000 63484567000 65008196608 69071208896 70051936000 72706535680 74430182000 81260245760 82129856000 85537100800 86339011120 90883169600 95270632960 100833881600 101575307200 106921376000 107923763900 113603962000 119088291200 125356096000 126042352000 126969134000 134904704875 138142417792 140103872000 145413071360 148860364000 162520491520 164259712000 172678022240 181766339200 190541265920 201667763200 203150614400 213842752000 215847527800 227207924000 238176582400 250712192000 252084704000 253938268000 269809409750 276284835584 280207744000 290826142720 297720728000 325040983040 345356044480 363532678400 406301228800 427685504000 431695055600 454415848000 476353164800 504169408000 507876536000 539618819500 552569671168 595441456000 690712088960 727065356800 812602457600 863390111200 908831696000 952706329600 1008338816000 1015753072000 1079237639000 1105139342336 1190882912000 1381424177920 1454130713600 1625204915200 1726780222400 1817663392000 2031506144000 2158475278000 2381765824000 2762848355840 3453560444800 3635326784000 4063012288000 4316950556000 4763531648000 5525696711680 6907120889600 7270653568000 8126024576000 8633901112000 13814241779200 17267802224000 27628483558400 34535604448000 69071208896000 138142417792000
- Sum of all divisors σ(n): 400735091577600
- Sum of proper divisors (its aliquot sum) s(n): 262592673785600
- 138142417792000 is an abundant number, because the sum of its proper divisors (262592673785600) is greater than itself. Its abundance is 124450255993600
Bases of 138142417792000
- Binary: 111110110100011110010011011110110101100000000002
- Hexadecimal: 0x7DA3C9BDAC00
- Base-36: 1CYTR0TL34
Squares and roots of 138142417792000
- 138142417792000 squared (1381424177920002) is 19083327593419478155264000000
- 138142417792000 cubed (1381424177920003) is 2636217013271755461235096932057088000000000
-
The
square root of 138142417792000 is 11753400.2651147723 -
The
cube root of 138142417792000 is 51694.2633489067
Scales and comparisons
How big is 138142417792000?- 138,142,417,792,000 seconds is equal to 4,392,501 years, 30 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,142,417,792,000 would take you about ten million, nine hundred eighty-one thousand, two 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 138142417792000 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138142417792000
- 138142417792000 backwards is 000297714241831
- The number of decimal digits it has is: 15
- The sum of 138142417792000's digits is 49
- More coming soon!
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The information we have on file for 138142417792000 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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