138820227840
138,820,227,840 is an even composite number composed of seven prime numbers multiplied together.
138820227840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138820227840:
28 × 33 × 5 × 7 × 23 × 61 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 61 × 409)See below for interesting mathematical facts about the number 138820227840 from the Numbermatics database.
Names of 138820227840
- Cardinal: 138820227840 can be written as One hundred thirty-eight billion, eight hundred twenty million, two hundred twenty-seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3882022784 × 1011
Factors of 138820227840
Divisors of 138820227840
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 32 35 36 40 42 45 46 48 54 56 60 61 63 64 69 70 72 80 84 90 92 96 105 108 112 115 120 122 126 128 135 138 140 144 160 161 168 180 183 184 189 192 207 210 216 224 230 240 244 252 256 270 276 280 288 305 315 320 322 336 345 360 366 368 378 384 409 414 420 427 432 448 460 480 483 488 504 540 549 552 560 576 610 621 630 640 644 672 690 720 732 736 756 768 805 818 828 840 854 864 896 915 920 945 960 966 976 1008 1035 1080 1098 1104 1120 1152 1220 1227 1242 1260 1280 1281 1288 1344 1380 1403 1440 1449 1464 1472 1512 1610 1636 1647 1656 1680 1708 1728 1792 1830 1840 1890 1920 1932 1952 2016 2045 2070 2135 2160 2196 2208 2240 2304 2415 2440 2454 2484 2520 2562 2576 2688 2745 2760 2806 2863 2880 2898 2928 2944 3024 3105 3220 3272 3294 3312 3360 3416 3456 3660 3680 3681 3780 3840 3843 3864 3904 4032 4090 4140 4209 4270 4320 4347 4392 4416 4480 4830 4880 4908 4968 5040 5124 5152 5376 5490 5520 5612 5726 5760 5796 5856 5888 6048 6135 6210 6405 6440 6544 6588 6624 6720 6832 6912 7015 7245 7320 7360 7362 7560 7686 7728 7808 8064 8180 8235 8280 8418 8540 8589 8640 8694 8784 8832 8960 9407 9660 9760 9816 9821 9936 10080 10248 10304 10980 11040 11043 11224 11452 11520 11529 11592 11712 12096 12270 12420 12627 12810 12880 13088 13176 13248 13440 13664 14030 14315 14490 14640 14720 14724 15120 15372 15456 15616 16128 16360 16470 16560 16836 17080 17178 17280 17388 17568 17664 18405 18814 19215 19320 19520 19632 19642 19872 20160 20496 20608 21045 21735 21960 22080 22086 22448 22904 23058 23184 23424 24192 24540 24840 24949 25254 25620 25760 25767 26176 26352 26496 26880 27328 28060 28221 28630 28980 29280 29440 29448 29463 30240 30744 30912 32720 32940 33120 33672 34160 34356 34560 34776 35136 36810 37628 37881 38430 38640 39040 39264 39284 39744 40320 40992 41216 42090 42945 43470 43920 44160 44172 44896 45808 46116 46368 46848 47035 48384 49080 49105 49680 49898 50508 51240 51520 51534 52352 52704 52992 54656 55215 56120 56442 57260 57645 57960 58560 58896 58926 60480 61488 61824 63135 65440 65849 65880 66240 67344 68320 68712 69552 70272 73620 74847 75256 75762 76860 77280 77301 78080 78528 78568 79488 80640 81984 84180 84663 85890 86940 87840 88320 88344 88389 89792 91616 92232 92736 94070 98160 98210 99360 99796 101016 102480 103040 103068 104704 105408 109312 110430 112240 112884 114520 115290 115920 117120 117792 117852 120960 122976 123648 124745 126270 128835 130880 131698 131760 132480 134688 136640 137424 139104 140544 141105 147240 147315 149694 150512 151524 153720 154560 154602 157056 157136 158976 163968 168360 169326 171780 173880 174643 175680 176688 176778 179584 183232 184464 185472 188140 189405 196320 196420 197547 198720 199592 202032 204960 206080 206136 210816 220860 224480 224541 225768 229040 230580 231840 234240 235584 235704 241920 245952 249490 252540 253989 257670 261760 263396 263520 264960 265167 269376 273280 274848 278208 282210 294480 294630 299388 301024 303048 307440 309120 309204 314112 314272 327936 329245 336720 338652 343560 347760 349286 351360 353376 353556 359168 366464 368928 370944 374235 376280 378810 386505 392640 392840 395094 397440 399184 404064 409920 412272 421632 423315 441720 441945 448960 449082 451536 458080 461160 463680 471168 471408 491904 498980 505080 507978 515340 523520 523929 526792 527040 530334 538752 546560 549696 556416 564420 573827 588960 589260 592641 598776 602048 606096 614880 618240 618408 628544 658490 673440 673623 677304 687120 695520 698572 702720 706752 707112 732928 737856 748470 752560 757620 773010 785280 785680 790188 794880 798368 808128 819840 824544 846630 873215 883440 883890 897920 898164 903072 916160 922320 927360 942336 942816 983808 987735 997960 1010160 1015956 1030680 1047858 1053584 1054080 1060668 1077504 1099392 1112832 1122705 1128840 1147654 1177920 1178520 1185282 1197552 1204096 1212192 1229760 1236816 1257088 1269945 1316980 1325835 1346880 1347246 1354608 1374240 1391040 1397144 1413504 1414224 1475712 1496940 1505120 1515240 1546020 1570560 1571360 1571787 1580376 1596736 1616256 1639680 1649088 1693260 1721481 1746430 1766880 1767780 1777923 1795840 1796328 1806144 1832320 1844640 1854720 1885632 1975470 1995920 2020320 2031912 2061360 2095716 2107168 2108160 2121336 2198784 2245410 2257680 2295308 2355840 2357040 2370564 2395104 2408192 2424384 2459520 2473632 2514176 2539890 2619645 2633960 2651670 2693760 2694492 2709216 2748480 2782080 2794288 2827008 2828448 2869135 2951424 2963205 2993880 3010240 3030480 3092040 3142720 3143574 3160752 3193472 3232512 3298176 3368115 3386520 3442962 3492860 3533760 3535560 3555846 3592656 3612288 3664640 3689280 3771264 3950940 3991840 4016789 4040640 4063824 4122720 4191432 4214336 4242672 4490820 4515360 4590616 4711680 4714080 4715361 4741128 4790208 4848768 4919040 4947264 5079780 5164443 5239290 5267920 5303340 5387520 5388984 5418432 5496960 5564160 5588576 5656896 5738270 5926410 5987760 6020480 6060960 6184080 6285440 6287148 6321504 6386944 6596352 6736230 6773040 6885924 6985720 7067520 7071120 7111692 7185312 7224576 7378560 7542528 7858935 7901880 7983680 8033578 8081280 8127648 8245440 8382864 8428672 8485344 8607405 8889615 8981640 9030720 9181232 9428160 9430722 9482256 9580416 9697536 9894528 10159560 10328886 10478580 10535840 10606680 10777968 10836864 10993920 11177152 11313792 11476540 11852820 11975520 12040960 12050367 12121920 12368160 12570880 12574296 12643008 13472460 13546080 13771848 13971440 14135040 14142240 14223384 14370624 14757120 15493329 15717870 15803760 15967360 16067156 16162560 16255296 16490880 16765728 16857344 16970688 17214810 17779230 17963280 18061440 18362464 18856320 18861444 18964512 19160832 19789056 20083945 20319120 20657772 20957160 21071680 21213360 21555936 21673728 22354304 22627584 22953080 23576805 23705640 23951040 24100734 24243840 24736320 25148592 25286016 25822215 26944920 27092160 27543696 27942880 28284480 28446768 28741248 30986658 31435740 31607520 31934720 32134312 32510592 32981760 33531456 33941376 34429620 35558460 35926560 36122880 36151101 36724928 37712640 37722888 37929024 40167890 40638240 41315544 41914320 42143360 42426720 43111872 44708608 45906160 47153610 47411280 47902080 48201468 48487680 49472640 50297184 50572032 51644430 53889840 54184320 55087392 55885760 56568960 56893536 57482496 60251835 61973316 62871480 63215040 64268624 65021184 67062912 67882752 68859240 71116920 71853120 72302202 73449856 75445776 75858048 77466645 80335780 81276480 82631088 83828640 84286720 84853440 86223744 91812320 94307220 94822560 95804160 96402936 98945280 100594368 103288860 107779680 108368640 108453303 110174784 111771520 113137920 113787072 120503670 123946632 125742960 126430080 128537248 134125824 137718480 142233840 143706240 144604404 146899712 150891552 151716096 154933290 160671560 162552960 165262176 167657280 169706880 172447488 180755505 183624640 188614440 189645120 192805872 201188736 206577720 215559360 216906606 220349568 223543040 227574144 241007340 247893264 251485920 252860160 257074496 275436960 284467680 287412480 289208808 301783104 309866580 321343120 325105920 330524352 335314560 339413760 361511010 367249280 377228880 379290240 385611744 402377472 413155440 431118720 433813212 440699136 455148288 482014680 495786528 502971840 514148992 542266515 550873920 568935360 578417616 603566208 619733160 642686240 661048704 670629120 723022020 734498560 754457760 758580480 771223488 826310880 862237440 867626424 964029360 991573056 1005943680 1028297984 1084533030 1101747840 1137870720 1156835232 1207132416 1239466320 1285372480 1322097408 1446044040 1508915520 1542446976 1652621760 1735252848 1928058720 1983146112 2011887360 2169066060 2203495680 2275741440 2313670464 2478932640 2570744960 2892088080 3017831040 3084893952 3305243520 3470505696 3856117440 3966292224 4338132120 4627340928 4957865280 5141489920 5784176160 6035662080 6610487040 6941011392 7712234880 8676264240 9254681856 9915730560 11568352320 13882022784 15424469760 17352528480 19831461120 23136704640 27764045568 34705056960 46273409280 69410113920 138820227840
- Sum of all divisors σ(n): 598561689600
- Sum of proper divisors (its aliquot sum) s(n): 459741461760
- 138820227840 is an abundant number, because the sum of its proper divisors (459741461760) is greater than itself. Its abundance is 320921233920
Bases of 138820227840
- Binary: 100000010100100101010010010011000000002
- Hexadecimal: 0x2052549300
- Base-36: 1RRTZ9C0
Squares and roots of 138820227840
- 138820227840 squared (1388202278402) is 19271055657549511065600
- 138820227840 cubed (1388202278403) is 2675212337098344142207193186304000
-
The
square root of 138820227840 is 372585.8663986061 -
The
cube root of 138820227840 is 5177.8673192197
Scales and comparisons
How big is 138820227840?- 138,820,227,840 seconds is equal to 4,414 years, 2 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,820,227,840 would take you about eight thousand, eight hundred twenty-eight 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 138820227840 cubic inches would be around 431.5 feet tall.
Recreational maths with 138820227840
- 138820227840 backwards is 048722028831
- 138820227840 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138820227840's digits is 45
- More coming soon!
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The information we have on file for 138820227840 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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