138317712000
138,317,712,000 is an even composite number composed of six prime numbers multiplied together.
138317712000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138317712000:
27 × 3 × 53 × 132 × 172 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 59)See below for interesting mathematical facts about the number 138317712000 from the Numbermatics database.
Names of 138317712000
- Cardinal: 138317712000 can be written as One hundred thirty-eight billion, three hundred seventeen million, seven hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38317712 × 1011
Factors of 138317712000
Divisors of 138317712000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 59 60 64 65 68 75 78 80 85 96 100 102 104 118 120 125 128 130 136 150 156 160 169 170 177 192 195 200 204 208 221 236 240 250 255 260 272 289 295 300 312 320 325 338 340 354 375 384 390 400 408 416 425 442 472 480 500 507 510 520 544 578 590 600 624 640 650 663 676 680 708 750 767 780 800 816 832 845 850 867 884 885 944 960 975 1000 1003 1014 1020 1040 1088 1105 1156 1180 1200 1248 1275 1300 1326 1352 1360 1416 1445 1475 1500 1534 1560 1600 1625 1632 1664 1690 1700 1734 1768 1770 1888 1920 1950 2000 2006 2028 2040 2080 2125 2176 2210 2301 2312 2360 2400 2496 2535 2550 2600 2652 2704 2720 2832 2873 2890 2950 3000 3009 3068 3120 3200 3250 3264 3315 3380 3400 3468 3536 3540 3757 3776 3835 3900 4000 4012 4056 4080 4160 4225 4250 4335 4420 4425 4602 4624 4720 4800 4875 4992 5015 5070 5100 5200 5304 5408 5440 5525 5664 5746 5780 5900 6000 6018 6136 6240 6375 6500 6528 6630 6760 6800 6936 7072 7080 7225 7375 7514 7552 7670 7800 8000 8024 8112 8160 8320 8450 8500 8619 8670 8840 8850 9204 9248 9440 9600 9750 9971 10030 10140 10200 10400 10608 10816 10880 11050 11271 11328 11492 11505 11560 11800 12000 12036 12272 12480 12675 12750 13000 13039 13260 13520 13600 13872 14144 14160 14365 14450 14750 15028 15045 15340 15600 16000 16048 16224 16320 16575 16900 17000 17051 17238 17340 17680 17700 18408 18496 18785 18880 19175 19500 19942 20060 20280 20400 20800 21125 21216 21632 21675 22100 22125 22542 22656 22984 23010 23120 23600 24000 24072 24544 24960 25075 25350 25500 26000 26078 26520 27040 27200 27625 27744 28288 28320 28730 28900 29500 29913 30056 30090 30680 31200 32096 32448 32640 33150 33800 34000 34102 34476 34680 35360 35400 36125 36816 36992 37570 37760 38350 39000 39117 39884 40120 40560 40800 41600 42250 42432 43095 43350 44200 44250 45084 45968 46020 46240 47200 48000 48144 48841 49088 49855 50150 50700 51000 51153 52000 52156 53040 54080 54400 55250 55488 56355 56640 57460 57525 57800 59000 59826 60112 60180 61360 62400 63375 64192 64896 65195 66300 67600 68000 68204 68952 69360 70720 70800 71825 72250 73632 75140 75225 76700 78000 78234 79768 80240 81120 81600 82875 84500 84864 85255 86190 86700 88400 88500 90168 91936 92040 92480 93925 94400 95875 96288 97682 98176 99710 100300 101400 102000 102306 104000 104312 106080 108160 108375 110500 110976 112710 113280 114920 115050 115600 118000 119652 120224 120360 122720 124800 125375 126750 128384 130390 132600 135200 136000 136408 137904 138720 141440 141600 143650 144500 146523 147264 149565 150280 150450 153400 156000 156468 159536 160480 162240 163200 165750 169000 169507 170510 172380 173400 176800 177000 180336 183872 184080 184960 187850 188800 191750 192576 195364 195585 199420 200600 202800 204000 204612 208000 208624 212160 215475 216750 221000 221663 225420 229840 230100 231200 236000 239304 240448 240720 244205 245440 249275 250750 253500 255765 260780 265200 270400 272000 272816 275808 277440 281775 283200 287300 287625 289000 293046 294528 299130 300560 300900 306800 312000 312936 319072 320960 324480 325975 331500 338000 339014 341020 344760 346800 353600 354000 359125 360672 367744 368160 375700 376125 383500 385152 390728 391170 398840 401200 405600 408000 409224 417248 424320 426275 430950 433500 442000 443326 450840 459680 460200 462400 469625 472000 478608 480896 481440 488410 490880 498550 501500 507000 508521 511530 521560 530400 540800 545632 551616 554880 563550 566400 574600 575250 578000 586092 598260 601120 601800 613600 624000 625872 638144 641920 651950 663000 664989 676000 678028 682040 689520 693600 707200 708000 718250 721344 732615 736320 747825 751400 752250 767000 781456 782340 797680 802400 811200 816000 818448 834496 847535 852550 861900 867000 884000 886652 901680 919360 920400 924800 939250 944000 957216 962880 976820 977925 997100 1003000 1014000 1017042 1023060 1043120 1060800 1077375 1091264 1103232 1108315 1127100 1149200 1150500 1156000 1172184 1196520 1202240 1203600 1221025 1227200 1246375 1251744 1276288 1278825 1303900 1326000 1329978 1352000 1356056 1364080 1379040 1387200 1408875 1416000 1436500 1442688 1465230 1472640 1495650 1502800 1504500 1534000 1562912 1564680 1595360 1604800 1622400 1629875 1636896 1668992 1695070 1705100 1723800 1734000 1768000 1773304 1803360 1838720 1840800 1878500 1914432 1925760 1953640 1955850 1994200 2006000 2028000 2034084 2046120 2086240 2121600 2131375 2154750 2182528 2216630 2254200 2298400 2301000 2312000 2344368 2393040 2404480 2407200 2442050 2454400 2492750 2503488 2542605 2557650 2607800 2652000 2659956 2704000 2712112 2728160 2758080 2774400 2817750 2832000 2873000 2881619 2930460 2991300 3005600 3009000 3068000 3125824 3129360 3190720 3209600 3259750 3273792 3324945 3390140 3410200 3447600 3468000 3536000 3546608 3606720 3663075 3681600 3739125 3757000 3828864 3907280 3911700 3988400 4012000 4056000 4068168 4092240 4172480 4237675 4262750 4309500 4433260 4508400 4596800 4602000 4624000 4688736 4786080 4814400 4884100 4889625 4985500 5006976 5085210 5115300 5215600 5304000 5319912 5424224 5456320 5516160 5541575 5635500 5746000 5763238 5860920 5982600 6011200 6018000 6105125 6136000 6251648 6258720 6381440 6394125 6519500 6547584 6649890 6780280 6820400 6895200 6936000 7093216 7213440 7326150 7363200 7478250 7514000 7814560 7823400 7976800 8024000 8112000 8136336 8184480 8344960 8475350 8525500 8619000 8644857 8866520 9016800 9193600 9204000 9377472 9572160 9628800 9768200 9779250 9971000 10170420 10230600 10431200 10608000 10639824 10848448 10912640 11083150 11271000 11492000 11526476 11721840 11965200 12022400 12036000 12210250 12272000 12517440 12713025 12788250 13039000 13299780 13560560 13640800 13790400 13872000 14186432 14408095 14652300 14956500 15028000 15629120 15646800 15953600 16048000 16272672 16368960 16624725 16950700 17051000 17238000 17289714 17733040 18033600 18315375 18408000 18754944 19144320 19536400 19558500 19942000 20340840 20461200 20862400 21188375 21279648 21696896 22166300 22542000 22984000 23052952 23443680 23930400 24072000 24420500 25034880 25426050 25576500 26078000 26599560 27121120 27281600 27580800 27707875 28372864 28816190 29304600 29913000 30056000 31258240 31293600 31907200 32545344 32737920 33249450 33901400 34102000 34476000 34579428 35466080 36067200 36630750 36816000 39072800 39117000 39884000 40681680 40922400 41724800 42376750 42559296 43224285 44332600 45084000 45968000 46105904 46887360 47860800 48144000 48841000 50852100 51153000 52156000 53199120 54242240 54563200 55415750 57632380 58609200 59826000 60112000 62587200 63565125 65090688 66498900 67802800 68204000 68952000 69158856 70932160 72040475 73261500 78145600 78234000 79768000 81363360 81844800 83123625 84753500 85118592 86448570 88665200 90168000 92211808 93774720 95721600 97682000 101704200 102306000 104312000 106398240 108484480 110831500 115264760 117218400 119652000 125174400 127130250 132997800 135605600 136408000 137904000 138317712 141864320 144080950 146523000 156291200 156468000 159536000 162726720 163689600 166247250 169507000 172897140 177330400 180336000 184423616 195364000 203408400 204612000 208624000 212796480 216121425 221663000 230529520 234436800 239304000 254260500 265995600 271211200 272816000 276635424 288161900 293046000 312936000 325453440 332494500 339014000 345794280 354660800 360202375 368847232 390728000 406816800 409224000 425592960 432242850 443326000 461059040 468873600 478608000 508521000 531991200 542422400 553270848 576323800 586092000 625872000 664989000 678028000 691588560 709321600 720404750 781456000 813633600 818448000 864485700 886652000 922118080 1017042000 1063982400 1080607125 1106541696 1152647600 1172184000 1329978000 1356056000 1383177120 1440809500 1627267200 1728971400 1773304000 1844236160 2034084000 2127964800 2161214250 2305295200 2344368000 2659956000 2712112000 2766354240 2881619000 3457942800 3546608000 4068168000 4322428500 4610590400 5319912000 5532708480 5763238000 6915885600 8136336000 8644857000 9221180800 10639824000 11526476000 13831771200 17289714000 23052952000 27663542400 34579428000 46105904000 69158856000 138317712000
- Sum of all divisors σ(n): 536371243200
- Sum of proper divisors (its aliquot sum) s(n): 398053531200
- 138317712000 is an abundant number, because the sum of its proper divisors (398053531200) is greater than itself. Its abundance is 259735819200
Bases of 138317712000
- Binary: 100000001101000110000011001010100000002
- Hexadecimal: 0x203460CA80
- Base-36: 1RJISLMO
Squares and roots of 138317712000
- 138317712000 squared (1383177120002) is 19131789452914944000000
- 138317712000 cubed (1383177120003) is 2646265343592926784688128000000000
-
The
square root of 138317712000 is 371910.8925535793 -
The
cube root of 138317712000 is 5171.6119717335
Scales and comparisons
How big is 138317712000?- 138,317,712,000 seconds is equal to 4,398 years, 3 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 138,317,712,000 would take you about eight thousand, seven hundred ninety-six 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 138317712000 cubic inches would be around 431 feet tall.
Recreational maths with 138317712000
- 138317712000 backwards is 000217713831
- The number of decimal digits it has is: 12
- The sum of 138317712000's digits is 33
- More coming soon!
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The information we have on file for 138317712000 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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