138001335808000

Names of 138001335808000

• Cardinal: 138001335808000 can be written as One hundred thirty-eight trillion, one billion, three hundred thirty-five million, eight hundred eight thousand.

Scientific notation

• Scientific notation: 1.38001335808 × 10¹⁴

Factors of 138001335808000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 122

Divisors of 138001335808000

• Number of divisors d(n): 1456
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 79 80 98 100 112 116 125 128 140 145 158 160 175 196 200 203 224 232 245 250 256 280 290 316 320 343 350 392 395 400 406 448 464 490 500 512 553 560 580 632 640 686 700 725 784 790 800 812 875 896 928 980 1000 1015 1024 1106 1120 1160 1225 1264 1280 1372 1400 1421 1450 1568 1580 1600 1624 1715 1750 1792 1856 1960 1975 2000 2030 2048 2212 2240 2291 2320 2401 2450 2528 2560 2744 2765 2800 2842 2900 3136 3160 3200 3248 3430 3500 3584 3625 3712 3871 3920 3950 4000 4060 4096 4424 4480 4582 4640 4802 4900 5056 5075 5120 5488 5530 5600 5684 5800 6125 6272 6320 6400 6496 6860 7000 7105 7168 7250 7424 7742 7840 7900 8000 8120 8575 8848 8960 9164 9280 9604 9800 9875 9947 10112 10150 10240 10976 11060 11200 11368 11455 11600 12005 12250 12544 12640 12800 12992 13720 13825 14000 14210 14336 14500 14848 15484 15680 15800 16000 16037 16240 16807 17150 17696 17920 18328 18560 19208 19355 19600 19750 19894 20224 20300 20480 21952 22120 22400 22736 22910 23200 24010 24500 25088 25280 25375 25600 25984 27097 27440 27650 28000 28420 28672 29000 29696 30968 31360 31600 32000 32074 32480 33614 34300 35392 35525 35840 36656 37120 38416 38710 39200 39500 39788 40448 40600 42875 43904 44240 44800 45472 45820 46400 48020 49000 49735 50176 50560 50750 51200 51968 54194 54880 55300 56000 56840 57275 58000 59392 60025 61936 62720 63200 64000 64148 64960 67228 68600 69125 69629 70784 71050 71680 73312 74240 76832 77420 78400 79000 79576 80185 80896 81200 84035 85750 87808 88480 89600 90944 91640 92800 96040 96775 98000 99470 100352 101120 101500 102400 103936 108388 109760 110600 112000 112259 113680 114550 116000 117649 118784 120050 123872 125440 126400 128000 128296 129920 134456 135485 137200 138250 139258 141568 142100 143360 146624 148480 153664 154840 156800 158000 159152 160370 161792 162400 168070 171500 175616 176960 177625 179200 181888 183280 185600 189679 192080 193550 196000 198940 200704 202240 203000 207872 216776 219520 221200 224000 224518 227360 229100 232000 235298 240100 247744 248675 250880 252800 256000 256592 259840 268912 270970 274400 276500 278516 283136 284200 286375 293248 296960 300125 307328 309680 313600 316000 318304 320740 323584 324800 336140 343000 348145 351232 353920 355250 358400 363776 366560 371200 379358 384160 387100 392000 397880 400925 404480 406000 415744 420175 433552 439040 442400 448000 449036 454720 458200 464000 470596 480200 483875 487403 495488 497350 501760 505600 512000 513184 519680 537824 541940 548800 553000 557032 561295 566272 568400 572750 586496 588245 593920 600250 614656 619360 627200 632000 636608 641480 649600 672280 677425 686000 696290 702464 707840 710500 716800 727552 733120 742400 758716 768320 774200 784000 785813 795760 801850 808960 812000 831488 840350 867104 878080 884800 896000 898072 909440 916400 928000 941192 948395 960400 967750 974806 990976 994700 1003520 1011200 1026368 1039360 1075648 1083880 1097600 1106000 1114064 1122590 1132544 1136800 1145500 1172992 1176490 1200500 1229312 1238720 1243375 1254400 1264000 1273216 1282960 1299200 1327753 1344560 1354850 1372000 1392580 1404928 1415680 1421000 1455104 1466240 1484800 1517432 1536640 1548400 1568000 1571626 1591520 1603700 1617920 1624000 1680700 1734208 1740725 1756160 1769600 1792000 1796144 1818880 1832800 1856000 1882384 1896790 1920800 1935500 1949612 1981952 1989400 2004625 2022400 2052736 2078720 2100875 2151296 2167760 2195200 2212000 2228128 2245180 2265088 2273600 2291000 2345984 2352980 2401000 2437015 2458624 2477440 2486750 2508800 2528000 2546432 2565920 2598400 2655506 2689120 2709700 2744000 2785160 2806475 2831360 2842000 2910208 2932480 2941225 2969600 3034864 3073280 3096800 3136000 3143252 3183040 3207400 3248000 3361400 3387125 3411821 3468416 3481450 3512320 3539200 3584000 3592288 3637760 3665600 3712000 3764768 3793580 3841600 3871000 3899224 3929065 3963904 3978800 4009250 4044800 4105472 4157440 4201750 4302592 4335520 4390400 4424000 4456256 4490360 4547200 4582000 4691968 4705960 4741975 4802000 4874030 4917248 4954880 4973500 5017600 5056000 5092864 5131840 5196800 5311012 5378240 5419400 5488000 5500691 5570320 5612950 5662720 5684000 5820416 5864960 5882450 6069728 6146560 6193600 6272000 6286504 6366080 6414800 6496000 6638765 6722800 6774250 6823642 6936832 6962900 7024640 7078400 7184576 7275520 7331200 7424000 7529536 7587160 7683200 7742000 7798448 7858130 7927808 7957600 8018500 8089600 8210944 8403500 8605184 8671040 8703625 8780800 8848000 8912512 8980720 9094400 9164000 9294271 9383936 9411920 9483950 9604000 9748060 9834496 9909760 9947000 10112000 10185728 10263680 10393600 10622024 10756480 10838800 10976000 11001382 11140640 11225900 11325440 11368000 11729920 11764900 12139456 12185075 12293120 12387200 12544000 12573008 12732160 12829600 12992000 13277530 13445600 13548500 13647284 13873664 13925800 14032375 14156800 14369152 14551040 14662400 14706125 14848000 15059072 15174320 15366400 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49548800 50292032 50928640 51318400 51968000 53110120 53782400 54194000 54589136 55006910 55494656 55703200 56129500 56627200 57476608 58649600 58824500 60236288 60697280 60925375 61465600 61936000 62387584 62865040 63660800 64148000 65687552 66387650 67228000 68236420 68841472 69368320 69629000 70784000 71300096 71845760 72755200 73312000 74354168 75295360 75871600 76832000 77009674 77984480 78581300 79278080 79576000 82109440 84976192 85295525 86051840 86710400 87808000 88011056 89125120 89807200 90944000 92942710 94119200 94839500 97115648 97480600 98226625 99097600 100584064 101857280 102636800 103936000 106220240 107564800 108388000 109178272 110013820 110989312 111406400 112259000 114953216 117299200 117649000 120472576 121394560 121850750 122931200 123872000 124775168 125730080 127321600 128296000 132775300 134456000 136472840 137517275 138736640 139258000 141568000 142600192 143691520 145510400 146624000 148708336 150590720 151743200 153664000 154019348 155968960 157162600 159152000 164218880 165969125 169952384 170591050 172103680 173420800 175616000 176022112 178250240 179614400 181888000 185885420 188238400 189679000 192524185 194231296 194961200 196453250 198195200 201168128 203714560 205273600 212440480 215129600 216776000 218356544 220027640 222812800 224518000 229906432 232356775 234598400 235298000 240945152 242789120 243701500 245862400 247744000 249550336 251460160 254643200 256592000 265550600 268912000 269533859 272945680 275034550 277473280 278516000 283136000 285200384 287383040 293248000 297416672 301181440 303486400 307328000 308038696 311937920 314325200 318304000 328437760 331938250 339904768 341182100 344207360 346841600 352044224 356500480 359228800 363776000 371770840 376476800 379358000 385048370 388462592 389922400 392906500 396390400 402336256 410547200 424880960 426477625 430259200 433552000 436713088 440055280 445625600 449036000 459812864 464713550 470596000 481890304 485578240 487403000 495488000 499100672 502920320 509286400 513184000 531101200 537824000 539067718 545891360 550069100 554946560 557032000 574766080 586496000 594833344 602362880 606972800 614656000 616077392 623875840 628650400 636608000 663876500 679809536 682364200 687586375 693683200 704088448 713000960 718457600 727552000 743541680 752953600 758716000 770096740 776925184 779844800 785813000 804672512 821094400 849761920 852955250 860518400 867104000 873426176 880110560 891251200 898072000 929427100 941192000 962620925 971156480 974806000 990976000 998201344 1005840640 1018572800 1026368000 1062202400 1075648000 1078135436 1091782720 1100138200 1114064000 1149532160 1161783875 1172992000 1189666688 1204725760 1213945600 1229312000 1232154784 1247751680 1257300800 1273216000 1327753000 1347669295 1359619072 1364728400 1375172750 1387366400 1408176896 1426001920 1436915200 1487083360 1505907200 1517432000 1540193480 1559689600 1571626000 1609345024 1642188800 1699523840 1705910500 1721036800 1734208000 1746852352 1760221120 1782502400 1796144000 1858854200 1882384000 1925241850 1942312960 1949612000 1981952000 1996402688 2011681280 2052736000 2124404800 2151296000 2156270872 2183565440 2200276400 2228128000 2299064320 2323567750 2379333376 2409451520 2427891200 2464309568 2495503360 2514601600 2546432000 2655506000 2695338590 2719238144 2729456800 2750345500 2774732800 2816353792 2873830400 2974166720 3011814400 3034864000 3080386960 3119379200 3143252000 3218690048 3399047680 3411821000 3468416000 3493704704 3520442240 3565004800 3592288000 3717708400 3764768000 3850483700 3884625920 3899224000 4023362560 4105472000 4248809600 4302592000 4312541744 4367130880 4400552800 4456256000 4647135500 4758666752 4813104625 4855782400 4928619136 4991006720 5029203200 5092864000 5311012000 5390677180 5438476288 5458913600 5500691000 5632707584 5747660800 5948333440 6023628800 6069728000 6160773920 6238758400 6286504000 6738346475 6798095360 6823642000 6936832000 6987409408 7040884480 7130009600 7184576000 7435416800 7529536000 7700967400 7798448000 8046725120 8210944000 8497619200 8605184000 8625083488 8734261760 8801105600 8912512000 9294271000 9517333504 9626209250 9711564800 9857238272 9982013440 10058406400 10622024000 10781354360 10917827200 11001382000 11265415168 11495321600 11896666880 12047257600 12139456000 12321547840 12477516800 12573008000 13476692950 13596190720 13647284000 13873664000 13974818816 14081768960 14369152000 14870833600 15059072000 15401934800 15596896000 16093450240 16995238400 17250166976 17468523520 17602211200 17825024000 18588542000 19034667008 19252418500 19423129600 19714476544 20116812800 21244048000 21562708720 21835654400 22002764000 22530830336 23793333760 24278912000 24643095680 24955033600 25146016000 26953385900 27192381440 27294568000 28163537920 28738304000 29741667200 30118144000 30803869600 31193792000 33691732375 33990476800 34500333952 34937047040 35204422400 35650048000 37177084000 38069334016 38504837000 39428953088 40233625600 42488096000 43125417440 43671308800 44005528000 47586667520 48557824000 49286191360 49910067200 50292032000 53906771800 54589136000 56327075840 57476608000 59483334400 60236288000 61607739200 62387584000 67383464750 67980953600 69000667904 69874094080 70408844800 74354168000 77009674000 78857906176 80467251200 84976192000 86250834880 87342617600 88011056000 95173335040 97115648000 98572382720 100584064000 107813543600 109178272000 112654151680 118966668800 123215478400 124775168000 134766929500 135961907200 138001335808 140817689600 148708336000 154019348000 157715812352 169952384000 172501669760 174685235200 176022112000 190346670080 197144765440 201168128000 215627087200 218356544000 237933337600 246430956800 249550336000 269533859000 276002671616 281635379200 297416672000 308038696000 339904768000 345003339520 349370470400 352044224000 394289530880 402336256000 431254174400 436713088000 475866675200 492861913600 539067718000 552005343232 563270758400 594833344000 616077392000 679809536000 690006679040 704088448000 788579061760 862508348800 873426176000 951733350400 985723827200 1078135436000 1104010686464 1189666688000 1232154784000 1380013358080 1408176896000 1725016697600 1746852352000 1971447654400 2156270872000 2379333376000 2464309568000 2760026716160 2816353792000 3450033395200 3942895308800 4312541744000 4758666752000 4928619136000 5520053432320 6900066790400 8625083488000 9857238272000 13800133580800 17250166976000 19714476544000 27600267161600 34500333952000 69000667904000 138001335808000
• Sum of all divisors σ(n): 420927469372800
• Sum of proper divisors (its aliquot sum) s(n): 282926133564800
• 138001335808000 is an abundant number, because the sum of its proper divisors (282926133564800) is greater than itself. Its abundance is 144924797756800

Bases of 138001335808000

• Binary: 11111011000001011110000100110010111000000000000₂
• Hexadecimal: 0x7D82F0997000
• Base-36: 1CX0XS91J4

Squares and roots of 138001335808000

• 138001335808000 squared (138001335808000²) is 19044368684792383012864000000
• 138001335808000 cubed (138001335808000³) is 2628148318121392950918799647834112000000000
• The square root of 138001335808000 is 11747396.9800973355
• The cube root of 138001335808000 is 51676.6592619199

Scales and comparisons

• 138,001,335,808,000 seconds is equal to 4,388,015 years, 31 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,001,335,808,000 would take you about ten million, nine hundred seventy thousand and thirty-nine 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 138001335808000 cubic inches would be around 4306.4 feet tall.

Recreational maths with 138001335808000

• 138001335808000 backwards is 000808533100831
• 138001335808000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138001335808000's digits is 40
• More coming soon!