138013559424
138,013,559,424 is an even composite number composed of seven prime numbers multiplied together.
138013559424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138013559424:
27 × 34 × 13 × 17 × 29 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 17 × 29 × 31 × 67)See below for interesting mathematical facts about the number 138013559424 from the Numbermatics database.
Names of 138013559424
- Cardinal: 138013559424 can be written as One hundred thirty-eight billion, thirteen million, five hundred fifty-nine thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38013559424 × 1011
Factors of 138013559424
Divisors of 138013559424
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 31 32 34 36 39 48 51 52 54 58 62 64 67 68 72 78 81 87 93 96 102 104 108 116 117 124 128 134 136 144 153 156 162 174 186 192 201 204 208 216 221 232 234 248 261 268 272 279 288 306 312 324 348 351 372 377 384 402 403 408 416 432 442 459 464 468 493 496 522 527 536 544 558 576 603 612 624 648 663 696 702 744 754 783 804 806 816 832 837 864 871 884 899 918 928 936 986 992 1044 1053 1054 1072 1088 1116 1131 1139 1152 1206 1209 1224 1248 1296 1326 1377 1392 1404 1479 1488 1508 1566 1581 1608 1612 1632 1664 1674 1728 1742 1768 1798 1809 1836 1856 1872 1943 1972 1984 1989 2077 2088 2106 2108 2144 2176 2232 2262 2278 2349 2412 2418 2448 2496 2511 2592 2613 2652 2697 2754 2784 2808 2958 2976 3016 3132 3162 3216 3224 3264 3348 3393 3417 3456 3484 3536 3596 3618 3627 3672 3712 3744 3886 3944 3968 3978 4154 4176 4212 4216 4288 4437 4464 4524 4556 4698 4743 4824 4836 4896 4992 5022 5184 5226 5304 5394 5427 5508 5568 5616 5829 5916 5952 5967 6032 6231 6264 6324 6409 6432 6448 6528 6696 6786 6834 6851 6968 7072 7192 7236 7254 7344 7488 7772 7839 7888 7956 8091 8308 8352 8424 8432 8576 8874 8928 9048 9112 9396 9486 9648 9672 9792 10044 10179 10251 10368 10452 10608 10788 10854 10881 11016 11136 11232 11658 11687 11832 11904 11934 12064 12462 12528 12648 12818 12864 12896 13311 13392 13572 13668 13702 13936 14144 14229 14384 14472 14508 14688 14807 14976 15283 15544 15678 15776 15912 16182 16616 16704 16848 16864 17487 17748 17856 17901 18096 18224 18693 18792 18972 19227 19296 19344 19584 20088 20358 20502 20553 20904 21216 21576 21708 21762 22032 22464 23316 23374 23517 23664 23868 24128 24273 24924 25056 25259 25296 25636 25728 25792 26622 26784 27001 27144 27336 27404 27872 28288 28458 28768 28944 29016 29376 29614 30537 30566 30753 31088 31356 31552 31824 32364 32643 33031 33232 33408 33696 33728 34974 35061 35309 35496 35712 35802 36192 36448 37386 37584 37944 38454 38592 38688 39933 40176 40716 41004 41106 41808 42432 42687 43152 43416 43524 44064 44421 44928 45849 46632 46748 47034 47328 47736 48256 48546 49848 50112 50518 50592 51272 51584 52461 53244 53568 54002 54288 54672 54808 55744 56079 56916 57536 57681 57888 58032 58752 59228 60233 61074 61132 61506 61659 62176 62712 63104 63648 64728 65286 66062 66464 67392 67456 69948 70122 70551 70618 70992 71604 72384 72819 72896 74772 75168 75777 75888 76908 77184 77376 79866 80352 81003 81432 82008 82212 83616 84864 85374 86304 86832 87048 88128 88842 91698 92259 93264 93496 94068 94656 95472 97092 99093 99696 100224 101036 101184 102544 104922 105183 105927 106488 107136 108004 108576 109344 109616 111488 112158 113832 115072 115362 115776 116064 118456 120466 122148 122264 123012 123318 124352 125424 127296 129456 130572 132124 132928 133263 134784 137547 139896 140244 141102 141236 141984 143208 144768 145638 145792 149544 150336 151554 151776 153816 154752 157383 159732 160704 162006 162864 164016 164424 167232 168237 170748 172608 173043 173664 174096 176256 177684 180699 183396 184518 184977 186528 186992 188136 189312 190944 194184 198186 198679 199392 202072 202368 205088 209844 210366 211854 212976 216008 217152 218688 219232 224316 227331 227664 230724 231552 232128 236912 240932 243009 244296 244528 246024 246636 248704 250848 254592 258912 261144 264248 265856 266526 275094 279792 280488 282204 282472 283968 286416 291276 297279 299088 300672 303108 303552 307632 314766 315549 317781 319464 321408 324012 325728 328032 328848 334464 336474 341496 345216 346086 347328 348192 355368 361398 366792 369036 369954 373056 373984 376272 381888 388368 396372 397358 398784 399789 404144 410176 412641 419688 420732 423708 425952 429403 432016 434304 437376 438464 448632 454662 455328 459017 461448 464256 473824 481864 486018 488592 489056 492048 493272 501696 517824 519129 522288 528496 533052 542097 550188 554931 559584 560976 564408 564944 567936 572832 582552 594558 596037 598176 606216 607104 615264 629532 631098 635562 638928 648024 651456 656064 657696 672948 681993 682992 692172 694656 696384 710736 722796 729027 733584 738072 739908 746112 747968 752544 763776 776736 783029 792744 794716 797568 799578 808288 820352 825282 839376 841464 847416 851904 858806 864032 876928 891837 897264 909324 910656 918034 922896 946647 947648 953343 963728 972036 977184 978112 984096 986544 1003392 1023961 1035648 1038258 1044576 1056992 1066104 1084194 1100376 1109862 1119168 1121952 1128816 1129888 1145664 1165104 1189116 1192074 1196352 1199367 1212432 1230528 1237923 1259064 1262196 1271124 1277856 1288209 1296048 1302912 1312128 1315392 1345896 1363986 1365984 1377051 1384344 1392768 1421472 1445592 1458054 1467168 1476144 1479816 1495936 1505088 1553472 1566058 1585488 1589432 1599156 1616576 1626291 1650564 1678752 1682928 1694832 1703808 1717612 1728064 1783674 1788111 1794528 1818648 1821312 1836068 1845792 1893294 1895296 1906686 1927456 1944072 1954368 1956224 1968192 1973088 2045979 2047922 2076516 2089152 2113984 2132208 2168388 2187081 2200752 2219724 2238336 2243904 2257632 2259776 2291328 2330208 2349087 2378232 2384148 2392704 2398734 2424864 2461056 2475846 2518128 2524392 2542248 2555712 2576418 2592096 2630784 2675511 2691792 2727972 2731968 2754102 2768688 2842944 2860029 2891184 2916108 2934336 2952288 2959632 3010176 3071883 3106944 3132116 3170976 3178864 3198312 3233152 3252582 3301128 3357504 3365856 3389664 3435224 3456128 3567348 3576222 3589056 3637296 3672136 3691584 3786588 3813372 3854912 3864627 3888144 3908736 3936384 3946176 4091958 4095844 4131153 4153032 4178304 4227968 4264416 4336776 4374162 4401504 4439448 4487808 4515264 4519552 4660416 4698174 4756464 4768296 4797468 4849728 4878873 4951692 5036256 5048784 5084496 5111424 5152836 5184192 5351022 5364333 5383584 5455944 5463936 5508204 5537376 5685888 5720058 5782368 5832216 5868672 5904576 5919264 6143766 6264232 6341952 6357728 6396624 6505164 6602256 6715008 6731712 6779328 6870448 7047261 7134696 7152444 7178112 7274592 7344272 7383168 7573176 7626744 7709824 7729254 7776288 7892352 8183916 8191688 8262306 8306064 8528832 8673552 8748324 8803008 8878896 9030528 9215649 9320832 9396348 9512928 9536592 9594936 9699456 9757746 9903384 10072512 10097568 10168992 10305672 10368384 10702044 10728666 10767168 10911888 11016408 11074752 11440116 11564736 11593881 11664432 11809152 11838528 12287532 12393459 12528464 12683904 12715456 12793248 13010328 13204512 13311493 13463424 13558656 13740896 14094522 14269392 14304888 14549184 14688544 15146352 15253488 15458508 15552576 16092999 16367832 16383376 16524612 16612128 17057664 17347104 17496648 17606016 17757792 18431298 18792696 19025856 19073184 19189872 19515492 19806768 20145024 20195136 20337984 20611344 21141783 21404088 21457332 21534336 21823776 22032816 22149504 22880232 23129472 23187762 23328864 23677056 24575064 24786918 25056928 25430912 25586496 26020656 26409024 26622986 27481792 27646947 28189044 28538784 28609776 29098368 29377088 30292704 30506976 30917016 31105152 32185998 32735664 32766752 33049224 33224256 34694208 34781643 34993296 35515584 36862596 37180377 37585392 38051712 38146368 38379744 39030984 39613536 39934479 40390272 40675968 41222688 42283566 42808176 42914664 43647552 44065632 45760464 46375524 46657728 49150128 49573836 50113856 51172992 52041312 52818048 53245972 54963584 55293894 56378088 57077568 57219552 58754176 60585408 61013952 61834032 63425349 64371996 65471328 65533504 66098448 66448512 69388416 69563286 69986592 71031168 73725192 74360754 75170784 76292736 76759488 78061968 79227072 79868958 82445376 82940841 84567132 85616352 85829328 87295104 88131264 91520928 92751048 93315456 98300256 99147672 100227712 104082624 106491944 110587788 112756176 114155136 114439104 119803437 121170816 122027904 123668064 126850698 128743992 130942656 131067008 132196896 139126572 139973184 147450384 148721508 150341568 153518976 156123936 158454144 159737916 164890752 165881682 169134264 171232704 171658656 176262528 183041856 185502096 196600512 198295344 208165248 212983888 221175576 225512352 228878208 239606874 247336128 253701396 257487984 261885312 264393792 278253144 279946368 294900768 297443016 300683136 312247872 319475832 331763364 338268528 342465408 343317312 359410311 366083712 371004192 393201024 396590688 425967776 442351152 451024704 479213748 494672256 507402792 514975968 528787584 556506288 589801536 594886032 624495744 638951664 663526728 676537056 686634624 718820622 742008384 793181376 851935552 884702304 902049408 958427496 1014805584 1029951936 1078230933 1113012576 1179603072 1189772064 1277903328 1327053456 1353074112 1437641244 1484016768 1586362752 1703871104 1769404608 1916854992 2029611168 2059903872 2156461866 2226025152 2379544128 2555806656 2654106912 2706148224 2875282488 3538809216 3833709984 4059222336 4312923732 4452050304 4759088256 5111613312 5308213824 5750564976 7667419968 8118444672 8625847464 10616427648 11501129952 15334839936 17251694928 23002259904 34503389856 46004519808 69006779712 138013559424
- Sum of all divisors σ(n): 507582028800
- Sum of proper divisors (its aliquot sum) s(n): 369568469376
- 138013559424 is an abundant number, because the sum of its proper divisors (369568469376) is greater than itself. Its abundance is 231554909952
Bases of 138013559424
- Binary: 100000001000100011111111001010100000002
- Hexadecimal: 0x20223FCA80
- Base-36: 1REHPK00
Squares and roots of 138013559424
- 138013559424 squared (1380135594242) is 19047742584881979211776
- 138013559424 cubed (1380135594243) is 2628846753131664401971179656577024
-
The
square root of 138013559424 is 371501.7623430607 -
The
cube root of 138013559424 is 5167.8184988671
Scales and comparisons
How big is 138013559424?- 138,013,559,424 seconds is equal to 4,388 years, 21 weeks, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,013,559,424 would take you about eight thousand, seven hundred seventy-six 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 138013559424 cubic inches would be around 430.7 feet tall.
Recreational maths with 138013559424
- 138013559424 backwards is 424955310831
- The number of decimal digits it has is: 12
- The sum of 138013559424's digits is 45
- More coming soon!
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The information we have on file for 138013559424 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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