138419838480
138,419,838,480 is an even composite number composed of nine prime numbers multiplied together.
138419838480 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138419838480:
24 × 3 × 5 × 7 × 11 × 17 × 31 × 61 × 233
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 17 × 31 × 61 × 233)See below for interesting mathematical facts about the number 138419838480 from the Numbermatics database.
Names of 138419838480
- Cardinal: 138419838480 can be written as One hundred thirty-eight billion, four hundred nineteen million, eight hundred thirty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3841983848 × 1011
Factors of 138419838480
Divisors of 138419838480
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 31 33 34 35 40 42 44 48 51 55 56 60 61 62 66 68 70 77 80 84 85 88 93 102 105 110 112 119 120 122 124 132 136 140 154 155 165 168 170 176 183 186 187 204 210 217 220 231 233 238 240 244 248 255 264 272 280 305 308 310 330 336 340 341 357 366 372 374 385 408 420 427 434 440 462 465 466 476 488 496 510 527 528 560 561 595 610 616 620 651 660 671 680 682 699 714 732 744 748 770 816 840 854 868 880 915 924 930 932 935 952 976 1020 1023 1037 1054 1085 1122 1155 1165 1190 1220 1232 1240 1281 1302 1309 1320 1342 1360 1364 1398 1428 1464 1488 1496 1540 1581 1631 1680 1705 1708 1736 1785 1830 1848 1860 1864 1870 1891 1904 2013 2040 2046 2074 2108 2135 2170 2244 2310 2330 2380 2387 2440 2480 2562 2563 2604 2618 2635 2640 2684 2728 2796 2805 2856 2928 2992 3080 3111 3162 3255 3262 3355 3410 3416 3472 3495 3570 3660 3689 3696 3720 3728 3740 3782 3927 3961 4026 4080 4092 4148 4216 4270 4340 4488 4620 4660 4697 4760 4774 4880 4893 5115 5124 5126 5185 5208 5236 5270 5368 5456 5592 5610 5673 5712 5797 6160 6222 6324 6405 6510 6524 6545 6710 6820 6832 6990 7140 7161 7223 7259 7320 7378 7440 7480 7564 7689 7854 7905 7922 8052 8155 8184 8296 8432 8540 8680 8976 9240 9320 9394 9455 9520 9548 9786 10065 10230 10248 10252 10370 10416 10472 10540 10736 11067 11184 11220 11346 11407 11594 11883 11935 12444 12648 12810 12815 13020 13048 13090 13237 13420 13640 13980 14091 14213 14280 14322 14446 14518 14640 14756 14960 15128 15378 15555 15708 15810 15844 16104 16310 16368 16592 17080 17360 17391 17941 18445 18480 18640 18788 18910 19096 19572 19635 19805 20130 20460 20496 20504 20740 20801 20944 21080 21669 21777 22134 22440 22692 22814 23188 23485 23766 23870 24465 24888 25296 25620 25630 26040 26096 26180 26474 26840 27280 27727 27960 28182 28365 28426 28560 28644 28892 28985 29036 29512 30256 30756 31110 31416 31620 31688 32147 32208 32620 34160 34221 34782 35805 35882 36115 36295 36890 37576 37820 38192 38445 39144 39270 39610 39711 40260 40579 40920 41008 41480 41602 42160 42639 43338 43554 43571 44268 44880 45384 45628 46376 46970 47532 47740 48930 49776 50561 51240 51260 52080 52360 52948 53680 53823 55335 55454 55920 56364 56730 56852 57035 57288 57784 57970 58072 59024 59415 61512 62220 62403 62832 63240 63376 64294 65240 66185 68442 69564 70455 71065 71610 71764 72230 72590 73780 75152 75640 76890 78288 78540 79220 79422 79453 79849 80520 81158 81840 82960 83181 83204 85278 86676 86955 87108 87142 88536 89705 90768 91256 92752 93940 95064 95480 96441 97860 99491 101122 102480 102520 104005 104720 105896 107646 108345 108885 110670 110908 112728 113460 113704 114070 114576 115568 115940 116144 118830 121737 122791 123024 124440 124806 126480 128588 130480 130713 132370 136884 138635 139128 140910 142130 143220 143528 144460 145180 145607 147560 151280 151683 153780 156343 157080 158440 158844 158906 159698 160735 161040 162316 166362 166408 170556 171105 173352 173910 174216 174284 177072 179410 182512 187880 190128 190960 192882 195720 198555 198982 202244 202895 205040 208010 211792 213195 215292 216690 217770 217855 221340 221816 225029 225456 226920 227408 228140 231880 237660 238359 239547 241621 243474 245582 248880 249612 252805 257176 261426 264740 269115 273768 277270 278256 281820 284260 286440 287056 288920 290360 291214 295120 298473 303366 304997 307560 312015 312686 314160 316880 317688 317812 319396 321470 324632 332724 332816 341112 342210 346704 347820 348432 348568 353617 358820 368373 375760 385764 391440 397110 397265 397964 399245 404488 405790 415905 416020 426390 430584 433380 435540 435710 436821 440603 442680 443632 450058 453840 456280 463760 469029 475320 476718 479094 482205 483242 486948 491164 497455 499224 505610 514352 522852 529480 538230 547536 554540 556171 563640 568520 572880 577840 580720 582428 596946 606732 608685 609994 613955 615120 624030 625372 635376 635624 638792 642940 649264 653565 665448 675087 682224 684420 695640 697136 707234 717640 724863 728035 736746 758415 771528 781715 794220 794530 795928 798490 808976 811580 831810 832040 852780 859537 861168 866760 871080 871420 873642 881206 885360 900116 912560 914991 938058 950640 953436 958188 964410 966484 973896 982328 994910 998448 1011220 1045704 1058960 1060851 1076460 1094401 1109080 1112342 1125145 1127280 1137040 1164856 1191795 1193892 1197735 1208105 1213464 1217370 1219988 1227910 1248060 1250744 1271248 1277584 1285880 1307130 1321809 1330896 1350174 1350701 1368840 1391280 1414468 1435280 1449726 1456070 1473492 1492365 1516830 1524985 1543056 1563430 1588440 1589060 1591856 1596980 1623160 1663620 1664080 1668513 1691347 1705560 1719074 1733520 1742160 1742840 1747284 1762412 1768085 1800232 1829982 1841865 1876116 1906872 1916376 1928820 1932968 1947792 1964656 1989820 2022440 2091408 2121702 2152920 2184105 2188802 2203015 2218160 2224684 2250290 2329712 2345145 2383590 2387784 2395470 2416210 2426928 2434740 2439976 2455820 2475319 2496120 2501488 2571760 2578611 2614260 2643618 2657831 2700348 2701402 2737680 2780855 2828936 2899452 2912140 2946984 2984730 3033660 3049970 3084221 3126860 3176880 3178120 3193960 3246320 3283203 3327240 3337026 3375435 3382694 3411120 3438148 3485680 3494568 3524824 3536170 3600464 3624315 3659964 3683730 3752232 3813744 3832752 3857640 3865936 3979640 4044880 4052103 4243404 4297685 4305840 4368210 4377604 4406030 4449368 4500580 4574955 4690290 4767180 4775568 4790940 4832420 4846633 4869480 4879952 4911640 4950638 4992240 5074041 5157222 5228520 5287236 5304255 5315662 5400696 5402804 5472005 5561710 5657872 5798904 5824280 5893968 5969460 6067320 6099940 6168442 6253720 6356240 6387920 6566406 6609045 6654480 6674052 6750870 6753505 6765388 6876296 6989136 7049648 7072340 7248630 7319928 7367460 7425957 7490251 7504464 7715280 7959280 7973493 8104206 8342565 8456735 8486808 8595370 8736420 8755208 8812060 8898736 9001160 9149910 9252663 9380580 9454907 9534360 9581880 9664840 9693266 9738960 9823280 9901276 10148082 10314444 10457040 10574472 10608510 10631324 10801392 10805608 10944010 11123420 11597808 11648560 11938920 12134640 12199880 12336884 12376595 12507440 12893055 13132812 13218090 13289155 13348104 13501740 13507010 13530776 13752592 14144680 14497260 14539899 14639856 14734920 14851914 14980502 15421105 15946986 16208412 16416015 16685130 16913470 16973616 17190740 17472840 17510416 17624120 18002320 18299820 18505326 18604817 18761160 18909814 19068720 19163760 19329680 19386532 19802552 20260515 20296164 20628888 21148944 21217020 21262648 21611216 21888020 22246840 22470753 23877840 24233165 24399760 24673768 24753190 25370205 25786110 26265624 26436180 26578310 26696208 27003480 27014020 27061552 28289360 28364721 28994520 29079798 29469840 29703828 29961004 30842210 31893972 32416824 32832030 33370260 33826940 33926431 34381480 34945680 35248240 36599640 37010652 37129785 37209634 37451255 37522320 37819628 38773064 39605104 39867465 40521030 40592328 41257776 42434040 42525296 43776040 44493680 44941506 46263315 47274535 48466330 49347536 49506380 50740410 51572220 52431757 52531248 52872360 53156620 54006960 54028040 55814451 56729442 57989040 58159596 59407656 59922008 61684420 63787944 64833648 65664060 66740520 67653880 67852862 68762960 72699495 73199280 74021304 74259570 74419268 74902510 75639256 77546128 79734930 81042060 81184656 82392761 84868080 87552080 89883012 92526630 93024085 94549070 96932660 99012760 101480820 101779293 103144440 104863514 105744720 106313240 108056080 111628902 112353765 113458884 116319192 118815312 119844016 123368840 127575888 131328120 133481040 135307760 135705724 141823605 145398990 148042608 148519140 148838536 149805020 151278512 157295271 159469860 162084120 164785522 169632155 179766024 185053260 186048170 189098140 193865320 198025520 202961640 203558586 206288880 209727028 212626480 223257804 224707530 226917768 232638384 246737680 247178283 262158785 262656240 271411448 279072255 283647210 290797980 297038280 297677072 299610040 314590542 318939720 324168240 329571044 339264310 359532048 370106520 372096340 378196280 387730640 405923280 407117172 411963805 419454056 446515608 449415060 453835536 494356566 508896465 524317570 542822896 558144510 567294420 576749327 581595960 594076560 599220080 629181084 637879440 659142088 678528620 740213040 744192680 756392560 786476355 814234344 823927610 838908112 893031216 898830120 988713132 1017792930 1048635140 1116289020 1134588840 1153498654 1163191920 1235891415 1258362168 1318284176 1357057240 1488385360 1572952710 1628468688 1647855220 1730247981 1797660240 1977426264 2035585860 2097270280 2232578040 2269177680 2306997308 2471782830 2516724336 2714114480 2883746635 3145905420 3295710440 3460495962 3954852528 4071171720 4194540560 4465156080 4613994616 4943565660 5767493270 6291810840 6591420880 6920991924 8142343440 8651239905 9227989232 9887131320 11534986540 12583621680 13841983848 17302479810 19774262640 23069973080 27683967696 34604959620 46139946160 69209919240 138419838480
- Sum of all divisors σ(n): 596862369792
- Sum of proper divisors (its aliquot sum) s(n): 458442531312
- 138419838480 is an abundant number, because the sum of its proper divisors (458442531312) is greater than itself. Its abundance is 320022692832
Bases of 138419838480
- Binary: 100000001110100111011100011110000100002
- Hexadecimal: 0x203A771E10
- Base-36: 1RL7LIXC
Squares and roots of 138419838480
- 138419838480 squared (1384198384802) is 19160051684829288710400
- 138419838480 cubed (1384198384803) is 2652131259482522009666855496192000
-
The
square root of 138419838480 is 372048.1668816553 -
The
cube root of 138419838480 is 5172.8844734837
Scales and comparisons
How big is 138419838480?- 138,419,838,480 seconds is equal to 4,401 years, 16 weeks, 5 days, 11 hours, 8 minutes.
-
To count from 1 to 138,419,838,480 would take you about eight thousand, eight hundred two 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 138419838480 cubic inches would be around 431.1 feet tall.
Recreational maths with 138419838480
- 138419838480 backwards is 084838914831
- The number of decimal digits it has is: 12
- The sum of 138419838480's digits is 57
- More coming soon!
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The information we have on file for 138419838480 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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