138428166240
138,428,166,240 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138428166240 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138428166240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138428166240:
25 × 33 × 5 × 7 × 13 × 19 × 43 × 431
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 19 × 43 × 431)See below for interesting mathematical facts about the number 138428166240 from the Numbermatics database.
Names of 138428166240
- Cardinal: 138428166240 can be written as One hundred thirty-eight billion, four hundred twenty-eight million, one hundred sixty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3842816624 × 1011
Factors of 138428166240
Divisors of 138428166240
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 27 28 30 32 35 36 38 39 40 42 43 45 48 52 54 56 57 60 63 65 70 72 76 78 80 84 86 90 91 95 96 104 105 108 112 114 117 120 126 129 130 133 135 140 144 152 156 160 168 171 172 180 182 189 190 195 208 210 215 216 224 228 234 240 247 252 258 260 266 270 273 280 285 288 301 304 312 315 336 342 344 351 360 364 378 380 387 390 399 416 420 430 431 432 455 456 468 480 494 504 513 516 520 532 540 546 559 560 570 585 602 608 624 630 645 665 672 684 688 702 720 728 741 756 760 774 780 798 817 819 840 855 860 862 864 903 910 912 936 945 988 1008 1026 1032 1040 1064 1080 1092 1118 1120 1140 1161 1170 1197 1204 1235 1248 1260 1290 1293 1330 1365 1368 1376 1404 1440 1456 1482 1505 1512 1520 1548 1560 1596 1634 1638 1677 1680 1710 1720 1724 1729 1755 1806 1820 1824 1872 1890 1935 1976 1995 2016 2052 2064 2080 2128 2155 2160 2184 2223 2236 2280 2322 2340 2394 2408 2451 2457 2470 2520 2565 2580 2586 2660 2709 2730 2736 2795 2808 2912 2964 3010 3017 3024 3040 3096 3120 3192 3268 3276 3354 3360 3420 3440 3448 3458 3510 3591 3612 3640 3705 3744 3780 3870 3879 3913 3952 3990 4085 4095 4104 4128 4256 4310 4320 4368 4446 4472 4515 4560 4644 4680 4788 4816 4902 4914 4940 5031 5040 5130 5160 5172 5187 5320 5418 5460 5472 5590 5603 5616 5719 5805 5928 5985 6020 6034 6048 6192 6240 6384 6465 6536 6552 6669 6708 6840 6880 6896 6916 7020 7182 7224 7280 7353 7410 7560 7740 7758 7826 7904 7980 8127 8170 8189 8190 8208 8385 8620 8645 8736 8892 8944 9030 9051 9120 9288 9360 9576 9632 9804 9828 9880 10062 10080 10260 10320 10344 10374 10621 10640 10836 10920 11115 11180 11206 11232 11438 11610 11637 11739 11856 11970 12040 12068 12255 12285 12384 12768 12930 13072 13104 13338 13416 13545 13680 13792 13832 14040 14364 14448 14560 14706 14820 15085 15093 15120 15480 15516 15561 15652 15960 16254 16340 16378 16380 16416 16770 16809 17157 17240 17290 17784 17888 17955 18060 18102 18533 18576 18720 19152 19395 19565 19608 19656 19760 20124 20520 20640 20688 20748 21242 21280 21672 21840 22059 22230 22360 22412 22876 23220 23274 23478 23712 23940 24080 24136 24510 24567 24570 25155 25860 25935 26144 26208 26676 26832 27090 27153 27360 27664 28015 28080 28595 28728 28896 29412 29640 30170 30186 30240 30960 31032 31122 31304 31863 31920 32508 32680 32756 32760 33345 33540 33618 34314 34480 34580 35217 35568 35910 36120 36204 36765 37066 37152 38304 38790 39130 39216 39221 39312 39520 40248 40635 40945 41040 41376 41496 42484 43344 43680 44118 44460 44720 44824 45255 45752 46440 46548 46683 46956 47880 48160 48272 49020 49134 49140 50310 50427 51471 51720 51870 53105 53352 53664 54180 54306 55328 55599 56030 56160 57190 57323 57456 58185 58695 58824 59280 60340 60372 61920 62064 62244 62608 63726 63840 65016 65360 65512 65520 66690 67080 67236 68628 68960 69160 70434 71136 71820 72240 72408 73530 73701 74132 74347 75465 77580 77805 78260 78432 78442 78624 80496 81270 81459 81890 82080 82992 84045 84968 85785 86688 88236 88920 89440 89648 90510 91504 92665 92880 93096 93366 93912 95589 95760 96544 98040 98268 98280 100620 100854 102942 103440 103740 105651 106210 106457 106704 108360 108612 110295 111198 112060 114380 114646 114912 116370 117390 117648 117663 118560 120680 120744 122835 124128 124488 125216 127452 129731 130032 130720 131024 131040 133380 134160 134472 135765 137256 138320 140868 143640 144480 144816 147060 147402 148264 148694 150930 151281 154413 155160 155610 156520 156884 159315 160992 162540 162918 163780 165984 166797 168090 169936 171570 171969 176085 176472 177840 179296 181020 183008 185330 185760 186192 186732 187824 191178 191520 196080 196105 196536 196560 201240 201708 205884 206880 207480 211302 212420 212914 213408 216720 217224 220590 221103 222396 223041 224120 228760 229292 232740 233415 234780 235296 235326 240929 241360 241488 245670 248976 252135 254904 257355 259462 260064 262048 266760 268320 268944 271530 274512 276640 277995 281736 286615 286767 287280 289632 294120 294804 296528 297388 301860 302562 308826 310320 311220 313040 313768 318630 319371 325080 325836 327560 333594 336180 339872 343140 343938 352127 352170 352944 352989 355680 362040 368505 370660 371735 372384 373464 375648 382356 389193 392160 392210 393072 393120 402480 403416 407295 411768 414960 422604 424840 425828 433440 434448 441180 442206 444792 446082 448240 457520 458584 465480 466830 469560 470652 477945 481858 482720 482976 491340 497952 500391 504270 509808 514710 515907 518924 528255 532285 533520 537888 543060 549024 555990 563472 573230 573534 574560 588240 588315 589608 593056 594776 603720 605124 617652 620640 622440 626080 627536 637260 638742 648655 650160 651672 655120 667188 669123 672360 686280 687876 704254 704340 705888 705978 722787 724080 737010 741320 743470 745199 746928 756405 764712 772065 778386 784420 786144 804960 806832 814590 823536 829920 833985 845208 849680 851656 859845 868896 882360 884412 889584 892164 896480 915040 917168 930960 933660 939120 941304 955890 958113 963716 982680 1000782 1008540 1019616 1029420 1031814 1037848 1056381 1056510 1058967 1064570 1067040 1086120 1105515 1111980 1115205 1126944 1146460 1147068 1167579 1176480 1176630 1179216 1189552 1204645 1207440 1210248 1235304 1244880 1255072 1274520 1277484 1297310 1300320 1303344 1310240 1334376 1338246 1344720 1372560 1375752 1408508 1408680 1411956 1433835 1445574 1448160 1474020 1482640 1486940 1490398 1493856 1512810 1529424 1544130 1547721 1556772 1568840 1596855 1613664 1629180 1647072 1667970 1686503 1690416 1699360 1703312 1719690 1760635 1764720 1764945 1768824 1779168 1784328 1834336 1861920 1867320 1878240 1882608 1911780 1916226 1927432 1945965 1965360 2001564 2007369 2017080 2058840 2063628 2075696 2112762 2113020 2117934 2129140 2168361 2172240 2211030 2223960 2230410 2235597 2292920 2294136 2335158 2353260 2358432 2379104 2409290 2414880 2420496 2464889 2470608 2489760 2501955 2549040 2554968 2579535 2594620 2606688 2668752 2676492 2689440 2745120 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8516560 8673444 8844120 8895840 8921640 8942388 9155302 9171680 9176544 9340632 9413040 9507429 9581130 9637160 9859556 10007820 10036845 10119018 10219872 10318140 10378480 10563810 10589670 10705968 10841805 11177985 11268064 11295648 11470680 11497356 11564592 11675790 11792160 11895520 11923184 12102480 12324445 12353040 12381768 12454176 12676572 12774840 13010166 13033440 13343760 13382460 13413582 13492024 13732953 13757520 14010948 14085080 14119560 14371695 14455740 14789334 14903980 15178527 15294240 15329808 15477210 15567720 15845715 16012512 16058952 16509024 16865030 16902096 16904160 16943472 17033120 17346888 17513685 17688240 17843280 17884776 18310604 18681264 18826080 19014858 19162260 19274320 19719112 20015640 20073690 20120373 20238036 20636280 20756960 21127620 21179340 21411936 21683610 22184001 22355970 22888255 22941360 22994712 23129184 23351580 23846368 24204960 24648890 24706080 24763536 25297545 25353144 25549680 26020332 26687520 26764920 26827164 26984048 27465906 27515040 28021896 28170160 28239120 28743390 28911480 29578668 29807960 30357054 30659616 30954420 31135440 31691430 32043557 32117904 32525415 33533955 33730060 33804192 33886944 34693776 35027370 35376480 35686560 35769552 36621208 36973335 37362528 38029716 38324520 38548640 39438224 40031280 40147380 40240746 40476072 41198859 41272560 42255240 42358680 43367220 44368002 44711940 45535581 45776510 45882720 45989424 46703160 47537145 49297780 49527072 50595090 50706288 51099360 52040664 53529840 53654328 53968096 54931812 56043792 56340320 56478240 57486780 57822960 59157336 59615920 60714108 61908840 62270880 63382860 64087114 64235808 65050830 66552003 67067910 67460120 68664765 69387552 70054740 71539104 73242416 73946670 75892635 76059432 76649040 78876448 80062560 80294760 80481492 80952144 82397718 82545120 84510480 84717360 86734440 88736004 89423880 91071162 91553020 91978848 93406320 95074290 96130671 98595560 100601865 101190180 101412576 104081328 107059680 107308656 109863624 110920005 112087584 114973560 115645920 118314672 119231840 121428216 123596577 123817680 126765720 128174228 130101660 133104006 134135820 134920240 137329530 140109480 146484832 147893340 151785270 152118864 153298080 160217785 160589520 160962984 161904288 164795436 169020960 169434720 173468880 177472008 178847760 182142324 183106040 186812640 190148580 192261342 197191120 201203730 202380360 205994295 208162656 214617312 219727248 221840010 227677905 229947120 236629344 242856432 247193154 247635360 253531440 256348456 260203320 266208012 268271640 269840480 274659060 280218960 288392013 295786680 303570540 304237728 320435570 321179040 321925968 329590872 332760015 346937760 354944016 357695520 364284648 366212080 380297160 384522684 394382240 402407460 404760720 411988590 439454496 443680020 455355810 459894240 480653355 485712864 494386308 507062880 512696912 520406640 532416024 536543280 549318120 560437920 576784026 591573360 607141080 617982885 640871140 643851936 659181744 665520030 709888032 728569296 732424160 760594320 769045368 804814920 809521440 823977180 865176039 887360040 910711620 961306710 988772616 1025393824 1040813280 1064832048 1073086560 1098636240 1153568052 1183146720 1214282160 1235965770 1281742280 1318363488 1331040060 1441960065 1457138592 1521188640 1538090736 1609629840 1647954360 1730352078 1774720080 1821423240 1922613420 1977545232 2129664096 2197272480 2307136104 2428564320 2471931540 2563484560 2662080120 2883920130 3076181472 3219259680 3295908720 3460704156 3549440160 3642846480 3845226840 3955090464 4325880195 4614272208 4943863080 5126969120 5324160240 5767840260 6591817440 6921408312 7285692960 7690453680 8651760390 9228544416 9887726160 10648320480 11535680520 13842816624 15380907360 17303520780 19775452320 23071361040 27685633248 34607041560 46142722080 69214083120 138428166240
- Sum of all divisors σ(n): 643778150400
- Sum of proper divisors (its aliquot sum) s(n): 505349984160
- 138428166240 is an abundant number, because the sum of its proper divisors (505349984160) is greater than itself. Its abundance is 366921817920
Bases of 138428166240
- Binary: 100000001110101111011000110000011000002
- Hexadecimal: 0x203AF63060
- Base-36: 1RLCK0O0
Squares and roots of 138428166240
- 138428166240 squared (1384281662402) is 19162357208569075737600
- 138428166240 cubed (1384281662403) is 2652609969218062368727643418624000
-
The
square root of 138428166240 is 372059.3584900131 -
The
cube root of 138428166240 is 5172.9882102433
Scales and comparisons
How big is 138428166240?- 138,428,166,240 seconds is equal to 4,401 years, 30 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 138,428,166,240 would take you about eight thousand, eight hundred 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 138428166240 cubic inches would be around 431.1 feet tall.
Recreational maths with 138428166240
- 138428166240 backwards is 042661824831
- 138428166240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138428166240's digits is 45
- More coming soon!
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The information we have on file for 138428166240 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 138428166240, math, Factors of 138428166240, curriculum, school, college, exams, university, Prime factorization of 138428166240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred twenty-eight million, one hundred sixty-six thousand, two hundred forty.