138238036128
138,238,036,128 is an even composite number composed of six prime numbers multiplied together.
138238036128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138238036128:
25 × 33 × 17 × 192 × 292 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 19 × 19 × 29 × 29 × 31)See below for interesting mathematical facts about the number 138238036128 from the Numbermatics database.
Names of 138238036128
- Cardinal: 138238036128 can be written as One hundred thirty-eight billion, two hundred thirty-eight million, thirty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38238036128 × 1011
Factors of 138238036128
Divisors of 138238036128
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 27 29 31 32 34 36 38 48 51 54 57 58 62 68 72 76 87 93 96 102 108 114 116 124 136 144 152 153 171 174 186 204 216 228 232 248 261 272 279 288 304 306 323 342 348 361 372 408 432 456 459 464 493 496 513 522 527 544 551 558 589 608 612 646 684 696 722 744 783 816 837 841 864 899 912 918 928 969 986 992 1026 1044 1054 1083 1102 1116 1178 1224 1292 1368 1392 1444 1479 1488 1566 1581 1632 1653 1674 1682 1767 1798 1824 1836 1938 1972 2052 2088 2108 2166 2204 2232 2356 2448 2523 2584 2697 2736 2784 2888 2907 2958 2976 3132 3162 3249 3306 3348 3364 3534 3596 3672 3876 3944 4104 4176 4216 4332 4408 4437 4464 4712 4743 4896 4959 5046 5168 5301 5394 5472 5776 5814 5916 6137 6264 6324 6498 6612 6696 6728 7068 7192 7344 7569 7752 7888 8091 8208 8352 8432 8664 8721 8816 8874 8928 9367 9424 9486 9747 9918 10013 10092 10336 10469 10602 10788 11191 11552 11628 11832 12274 12528 12648 12996 13224 13311 13392 13456 14136 14229 14297 14384 14688 14877 15138 15283 15504 15776 15903 15979 16182 16416 16864 17081 17328 17442 17632 17748 18411 18734 18848 18972 19494 19836 20026 20184 20938 21204 21576 22382 22707 23256 23664 24273 24548 25056 25296 25992 26071 26448 26622 26784 26912 28101 28272 28458 28594 28768 29754 30039 30276 30566 31008 31407 31806 31958 32364 33573 34162 34656 34884 35496 36822 37468 37944 38988 39672 40052 40368 41876 42408 42891 43152 44764 45414 45849 46512 47328 47937 48546 49096 50592 51243 51984 52142 52896 53244 55233 56202 56544 56916 57188 59508 60078 60552 61132 62814 63612 63916 64728 67146 68324 69768 70992 73644 74936 75888 77976 78213 79344 80104 80736 83752 84303 84816 85782 86304 89528 90117 90828 91698 93024 94221 95874 97092 98192 100719 102486 103968 104284 106488 110466 112404 113832 114376 119016 120156 121104 122264 125628 127224 127832 128673 129456 134292 136648 137547 139536 141984 143811 147288 149872 151776 153729 155952 156426 158688 160208 165699 167504 168606 169632 171564 177973 179056 180234 181656 183396 188442 190247 191748 194184 196384 201438 204972 208568 212976 220932 224808 227664 228752 234639 238032 240312 242208 244528 251256 252909 254448 255664 257346 258912 268584 270351 271643 273296 275094 279072 282663 287622 290377 294576 299744 302157 303601 307458 311904 312852 320416 324539 331398 335008 337212 343128 355946 358112 360468 363312 366792 376884 380494 383496 386019 388368 402876 409944 412641 417136 425952 431433 441864 443207 449616 455328 457504 461187 469278 476064 480624 489056 495349 502512 505818 508896 511328 514692 533919 537168 540702 543286 546592 550188 565326 570741 575244 580754 589152 604314 607202 614916 625704 649078 662796 674424 686256 703917 711892 720936 726624 733584 753768 760988 766992 772038 776736 805752 814929 819888 825282 834272 862866 871131 883728 886414 899232 910803 922374 938556 961248 973617 990698 1005024 1011636 1029384 1067838 1074336 1081404 1086572 1100376 1130652 1141482 1150488 1161508 1208628 1214404 1229832 1251408 1298156 1325592 1329621 1348848 1372512 1407834 1423784 1441872 1467168 1486047 1507536 1521976 1533984 1544076 1601757 1611504 1629858 1639776 1650564 1712223 1725732 1742262 1767456 1772828 1821606 1844748 1877112 1947234 1981396 2023272 2058768 2135676 2162808 2173144 2200752 2261304 2282964 2300976 2323016 2417256 2428808 2444787 2459664 2502816 2596312 2613393 2651184 2659242 2697696 2732409 2815668 2847568 2883744 2920851 2972094 3015072 3043952 3088152 3203514 3223008 3259716 3301128 3424446 3451464 3484524 3545656 3643212 3689496 3754224 3894468 3962792 3988863 4046544 4117536 4271352 4325616 4346288 4401504 4458141 4522608 4565928 4601952 4646032 4805271 4834512 4857616 4889574 4919328 5136669 5161217 5192624 5226786 5302368 5318484 5464818 5517163 5631336 5695136 5841702 5944188 6087904 6176304 6407028 6519432 6602256 6848892 6902928 6969048 7091312 7286424 7334361 7378992 7508448 7788936 7840179 7925584 7977726 8093088 8197227 8420933 8542704 8651232 8692576 8762553 8916282 9045216 9131856 9292064 9411631 9610542 9669024 9715232 9779148 10273338 10322434 10385248 10453572 10636968 10929636 11034326 11262672 11683404 11888376 11966589 12352608 12814056 13038864 13204512 13374423 13697784 13805856 13938096 14182624 14572848 14668722 14757984 15483651 15577872 15680358 15851168 15955452 16394454 16551489 16841866 17085408 17525106 17832564 18263712 18823262 19221084 19558296 20546676 20644868 20907144 21273936 21859272 22068652 22525344 23366808 23776752 23933178 25262799 25628112 26077728 26748846 27395568 27876192 28234893 29145696 29337444 30967302 31155744 31360716 31910904 32788908 33102978 33683732 35050212 35665128 37646524 38442168 39116592 41093352 41289736 41814288 42547872 43718544 44137304 46450953 46733616 47553504 47866356 49654467 50525598 51256224 53497692 54791136 56469786 58674888 61934604 62721432 63821808 65577816 66205956 67367464 70100424 71330256 75293048 75788397 76884336 78233184 82186704 82579472 83628576 84704679 87437088 88274608 92901906 93467232 95732712 99308934 101051196 106995384 112939572 117349776 123869208 125442864 127643616 131155632 132411912 134734928 139352859 140200848 142660512 148963401 150586096 151576794 153768672 159997727 164373408 165158944 169409358 176549216 185803812 191465424 198617868 202102392 213990768 225879144 227365191 234699552 247738416 250885728 254114037 262311264 264823824 269469856 278705718 280401696 297926802 301172192 303153588 319995454 338818716 371607624 382930848 397235736 404204784 427981536 451758288 454730382 479993181 495476832 508228074 529647648 557411436 595853604 606307176 639990908 677637432 743215248 794471472 808409568 903516576 909460764 959986362 1016456148 1114822872 1191707208 1212614352 1279981816 1355274864 1439979543 1486430496 1588942944 1818921528 1919972724 2032912296 2229645744 2383414416 2425228704 2559963632 2710549728 2879959086 3637843056 3839945448 4065824592 4319938629 4459291488 4766828832 5119927264 5759918172 7275686112 7679890896 8131649184 8639877258 11519836344 15359781792 17279754516 23039672688 34559509032 46079345376 69119018064 138238036128
- Sum of all divisors σ(n): 481688363520
- Sum of proper divisors (its aliquot sum) s(n): 343450327392
- 138238036128 is an abundant number, because the sum of its proper divisors (343450327392) is greater than itself. Its abundance is 205212291264
Bases of 138238036128
- Binary: 100000001011111010000100001000101000002
- Hexadecimal: 0x202FA108A0
- Base-36: 1RI7CVC0
Squares and roots of 138238036128
- 138238036128 squared (1382380361282) is 19109754632526233232384
- 138238036128 cubed (1382380361283) is 2641694951288376793486053611569152
-
The
square root of 138238036128 is 371803.7602391885 -
The
cube root of 138238036128 is 5170.6187708103
Scales and comparisons
How big is 138238036128?- 138,238,036,128 seconds is equal to 4,395 years, 28 weeks, 1 day, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,238,036,128 would take you about eight thousand, seven hundred ninety-one 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 138238036128 cubic inches would be around 430.9 feet tall.
Recreational maths with 138238036128
- 138238036128 backwards is 821630832831
- The number of decimal digits it has is: 12
- The sum of 138238036128's digits is 45
- More coming soon!
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