138741757440

Names of 138741757440

• Cardinal: 138741757440 can be written as One hundred thirty-eight billion, seven hundred forty-one million, seven hundred fifty-seven thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3874175744 × 10¹¹

Factors of 138741757440

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 223

Divisors of 138741757440

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 32 33 38 39 40 44 48 52 55 57 60 61 64 65 66 76 78 80 88 95 96 104 109 110 114 120 122 128 130 132 143 152 156 160 165 176 183 190 192 195 208 209 218 220 228 240 244 247 256 260 264 285 286 304 305 312 320 327 330 352 366 380 384 390 416 418 429 436 440 456 480 488 494 512 520 528 545 570 572 608 610 624 627 640 654 660 671 704 715 732 741 760 768 780 793 832 836 858 872 880 912 915 960 976 988 1040 1045 1056 1090 1140 1144 1159 1199 1216 1220 1235 1248 1254 1280 1308 1320 1342 1408 1417 1430 1464 1482 1520 1536 1560 1586 1635 1664 1672 1716 1744 1760 1824 1830 1920 1952 1976 2013 2071 2080 2090 2112 2145 2180 2280 2288 2318 2379 2398 2432 2440 2470 2496 2508 2560 2616 2640 2684 2717 2816 2834 2860 2928 2964 3040 3120 3135 3172 3270 3328 3344 3355 3432 3477 3488 3520 3597 3648 3660 3705 3840 3904 3952 3965 4026 4142 4160 4180 4224 4251 4290 4360 4560 4576 4636 4758 4796 4864 4880 4940 4992 5016 5232 5280 5368 5434 5632 5668 5720 5795 5856 5928 5995 6080 6213 6240 6270 6344 6540 6649 6656 6688 6710 6864 6954 6976 7040 7085 7194 7296 7320 7410 7680 7808 7904 7930 8052 8151 8284 8320 8360 8448 8502 8580 8720 8723 9120 9152 9272 9516 9592 9728 9760 9880 9984 10032 10065 10355 10464 10560 10736 10868 11336 11440 11590 11712 11856 11895 11990 12160 12426 12480 12540 12688 12749 13080 13298 13376 13420 13585 13728 13908 13952 14080 14170 14388 14592 14640 14820 15067 15587 15616 15808 15860 16104 16302 16568 16640 16720 16896 17004 17160 17385 17440 17446 17985 18240 18304 18544 19032 19184 19520 19760 19947 19968 20064 20130 20710 20928 21120 21255 21472 21736 22672 22781 22880 23180 23424 23712 23790 23980 24320 24852 24960 25080 25376 25498 26160 26169 26596 26752 26840 26923 27170 27456 27816 27904 28160 28340 28776 29184 29280 29640 30134 31065 31174 31232 31616 31720 32208 32604 33136 33245 33280 33440 34008 34320 34770 34880 34892 35970 36480 36608 37088 38064 38247 38368 39040 39520 39894 40128 40260 40755 41420 41856 42240 42510 42944 43472 43615 45201 45344 45562 45760 46360 46761 46848 47424 47580 47960 48640 49704 49920 50160 50752 50996 52320 52338 53192 53504 53680 53846 54340 54912 55632 55808 56680 57552 58560 59280 60268 62130 62348 63232 63440 63745 64416 65208 66272 66490 66880 68016 68343 68640 69540 69760 69784 71940 72960 73139 73216 74176 75335 76128 76494 76736 77935 78080 79040 79788 80256 80520 80769 81510 82840 83712 84480 85020 85888 86437 86944 87230 90402 90688 91124 91520 92720 93522 93696 94848 95160 95920 99408 99735 99840 100320 101504 101992 104640 104676 106384 107008 107360 107692 108680 109824 111264 113360 113905 115104 117120 118560 120536 124260 124696 126331 126464 126880 127490 128832 130416 130845 132544 132980 133760 134615 136032 136686 137280 139080 139520 139568 143880 145920 146278 148352 150670 152256 152988 153472 155870 156160 158080 159576 160512 161040 161538 163020 165680 165737 167424 170040 171776 172874 173888 174460 180804 181376 182248 183040 185440 187044 189696 190320 191235 191840 198816 199470 200640 203008 203984 209280 209352 212768 214720 215384 217360 219417 219648 222528 226005 226720 227810 230208 233805 234240 237120 241072 248520 249392 252662 253760 254980 257664 259311 260832 261690 265088 265960 267520 269230 272064 273372 274560 278160 279040 279136 287760 292556 296153 296704 301340 304512 305976 306944 311740 316160 319152 321024 322080 323076 326040 331360 331474 340080 341715 343552 345748 347776 348920 361608 362752 364496 365695 366080 370880 374088 378993 379392 380640 382470 383680 397632 398940 401280 403845 406016 407968 418560 418704 425536 429440 430768 432185 434720 438834 445056 452010 453440 455620 460416 467610 468480 474240 482144 497040 497211 498784 505324 507520 509960 515328 518622 521664 523380 530176 531920 535040 538460 544128 546744 549120 556320 558272 575520 585112 592306 593408 602680 609024 611952 613888 623480 631655 632320 638304 644160 646152 652080 662720 662948 680160 683430 691496 695552 697840 723216 725504 728992 731390 741760 748176 757986 761280 764940 767360 795264 797880 802560 807690 815936 828685 837120 837408 851072 858880 861536 864370 869440 877668 888459 890112 904020 906880 911240 920832 935220 948480 950807 964288 994080 994422 997568 1010648 1015040 1019920 1030656 1037244 1043328 1046760 1060352 1063840 1076920 1088256 1093488 1097085 1098240 1112640 1116544 1151040 1170224 1184612 1205360 1218048 1223904 1246960 1263310 1276608 1288320 1292304 1296555 1304160 1325440 1325896 1360320 1366860 1382992 1389641 1391104 1395680 1446432 1457984 1462780 1480765 1483520 1496352 1515972 1522560 1529880 1534720 1590528 1595760 1605120 1615380 1631872 1642303 1657370 1674816 1702144 1717760 1723072 1728740 1738880 1755336 1776918 1780224 1808040 1813760 1822480 1841664 1870440 1894965 1896960 1901614 1928576 1988160 1988844 1995136 2021296 2030080 2039840 2074488 2086656 2093520 2127680 2153840 2176512 2186976 2194170 2225280 2233088 2302080 2340448 2369224 2410720 2447808 2486055 2493920 2526620 2553216 2576640 2584608 2593110 2608320 2650880 2651792 2720640 2733720 2765984 2779282 2791360 2852421 2892864 2915968 2925560 2961530 2967040 2992704 3031944 3045120 3059760 3069440 3181056 3191520 3230760 3263744 3284606 3314740 3349632 3404288 3446144 3457480 3477760 3510672 3553836 3616080 3627520 3644960 3740880 3789930 3803228 3857152 3976320 3977688 3990272 4042592 4079680 4148976 4168923 4173312 4187040 4255360 4307680 4373952 4388340 4442295 4450560 4466176 4604160 4680896 4738448 4754035 4821440 4895616 4926909 4972110 4987840 5053240 5106432 5153280 5169216 5186220 5216640 5301760 5303584 5441280 5467440 5531968 5558564 5582720 5704842 5785728 5831936 5851120 5923060 5985408 6063888 6090240 6119520 6383040 6461520 6527488 6569212 6629480 6699264 6892288 6914960 6948205 6955520 7021344 7107672 7232160 7289920 7481760 7579860 7606456 7714304 7952640 7955376 7980544 8085184 8159360 8211515 8297952 8337846 8374080 8510720 8615360 8747904 8776680 8884590 8901120 9208320 9361792 9476896 9508070 9642880 9791232 9853818 9944220 9975680 10106480 10212864 10338432 10372440 10433280 10607168 10882560 10934880 11063936 11117128 11165440 11409684 11571456 11663872 11702240 11846120 11970816 12127776 12239040 12766080 12923040 13138424 13258960 13398528 13784576 13829920 13896410 14042688 14215344 14262105 14464320 14579840 14963520 15159720 15212912 15905280 15910752 16170368 16318720 16423030 16595904 16675692 16748160 17021440 17230720 17495808 17553360 17769180 18065333 18723584 18953792 19016140 19285760 19582464 19707636 19888440 19951360 20212960 20676864 20744880 20844615 20866560 21214336 21869760 22127872 22234256 22330880 22819368 23142912 23404480 23692240 23941632 24255552 24478080 24634545 25532160 25846080 26276848 26517920 27659840 27792820 28085376 28430688 28524210 28928640 29159680 29927040 30319440 30425824 31821504 32340736 32637440 32846060 33191808 33351384 33496320 34461440 34991616 35106720 35538360 36130666 37447168 37907584 38032280 38571520 39415272 39776880 39902720 40425920 41353728 41489760 41689230 42428672 43739520 44255744 44468512 45638736 46808960 47384480 48511104 48956160 49269090 51064320 51692160 52553696 53035840 54195999 55319680 55585640 56170752 56861376 57048420 57857280 58319360 59854080 60638880 60851648 63643008 64681472 65692120 66383616 66702768 66992640 68922880 70213440 71076720 72261332 75815168 76064560 78830544 79553760 80851840 82979520 83378460 84857344 87479040 88937024 90326665 91277472 93617920 94768960 97022208 97912320 98538180 103384320 105107392 106071680 108391998 110639360 111171280 112341504 113722752 114096840 115714560 119708160 121277760 121703296 127286016 131384240 132767232 133405536 140426880 142153440 144522664 151630336 152129120 157661088 159107520 161703680 165959040 166756920 174958080 177874048 180653330 182554944 187235840 189537920 194044416 197076360 206768640 210214784 212143360 216783996 221278720 222342560 227445504 228193680 242555520 243406592 254572032 262768480 266811072 270979995 280853760 284306880 289045328 304258240 315322176 318215040 323407360 331918080 333513840 355748096 361306660 365109888 379075840 394152720 420429568 424286720 433567992 444685120 454891008 456387360 485111040 486813184 525536960 533622144 541959990 561707520 568613760 578090656 608516480 630644352 636430080 663836160 667027680 711496192 722613320 730219776 758151680 788305440 840859136 867135984 889370240 912774720 970222080 1051073920 1067244288 1083919980 1137227520 1156181312 1217032960 1261288704 1272860160 1334055360 1445226640 1460439552 1576610880 1734271968 1778740480 1825549440 2102147840 2134488576 2167839960 2274455040 2312362624 2434065920 2522577408 2668110720 2890453280 3153221760 3468543936 3557480960 3651098880 4204295680 4335679920 4624725248 5336221440 5780906560 6306443520 6937087872 7302197760 8671359840 9249450496 10672442880 11561813120 12612887040 13874175744 17342719680 23123626240 27748351488 34685439360 46247252480 69370878720 138741757440
• Sum of all divisors σ(n): 562613990400
• Sum of proper divisors (its aliquot sum) s(n): 423872232960
• 138741757440 is an abundant number, because the sum of its proper divisors (423872232960) is greater than itself. Its abundance is 285130475520

Bases of 138741757440

• Binary: 10000001001101101001110011011000000000₂
• Hexadecimal: 0x204DA73600
• Base-36: 1RQJ9D6O

Squares and roots of 138741757440

• 138741757440 squared (138741757440²) is 19249275257539795353600
• 138741757440 cubed (138741757440³) is 2670678278677379818096410230784000
• The square root of 138741757440 is 372480.5463913519
• The cube root of 138741757440 is 5176.8915106561

Scales and comparisons

• 138,741,757,440 seconds is equal to 4,411 years, 29 weeks, 9 hours, 4 minutes.
• To count from 1 to 138,741,757,440 would take you about eight thousand, eight 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 138741757440 cubic inches would be around 431.4 feet tall.

Recreational maths with 138741757440

• 138741757440 backwards is 044757147831
• The number of decimal digits it has is: 12
• The sum of 138741757440's digits is 51
• More coming soon!