138053488320

Names of 138053488320

• Cardinal: 138053488320 can be written as One hundred thirty-eight billion, fifty-three million, four hundred eighty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3805348832 × 10¹¹

Factors of 138053488320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 184

Divisors of 138053488320

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 37 40 43 44 45 48 54 55 60 64 66 72 74 80 83 86 88 90 96 99 108 110 111 120 121 129 132 135 144 148 160 165 166 172 176 180 185 192 198 215 216 220 222 240 242 249 258 264 270 288 296 297 320 330 332 333 344 352 360 363 370 387 396 407 415 430 432 440 444 473 480 484 495 498 516 528 540 555 576 592 594 605 645 660 664 666 688 704 720 726 740 747 774 792 814 830 860 864 880 888 913 946 960 968 990 996 999 1032 1056 1080 1089 1110 1161 1184 1188 1210 1221 1245 1290 1320 1328 1332 1376 1419 1440 1452 1480 1485 1494 1548 1584 1591 1628 1660 1665 1720 1728 1760 1776 1815 1826 1892 1935 1936 1980 1992 1998 2035 2064 2112 2160 2178 2220 2241 2322 2365 2368 2376 2420 2442 2490 2580 2640 2656 2664 2739 2752 2838 2880 2904 2960 2970 2988 3071 3096 3168 3182 3256 3267 3320 3330 3440 3520 3552 3569 3630 3652 3663 3735 3784 3870 3872 3960 3984 3996 4070 4128 4257 4320 4356 4440 4477 4482 4565 4644 4730 4752 4773 4840 4884 4980 4995 5160 5203 5280 5312 5328 5445 5478 5676 5805 5808 5920 5940 5976 6105 6142 6192 6336 6364 6512 6534 6640 6660 6880 7095 7104 7138 7260 7304 7326 7470 7568 7740 7744 7920 7955 7968 7992 8140 8217 8256 8514 8640 8712 8880 8954 8964 9130 9213 9288 9460 9504 9546 9680 9768 9960 9990 10043 10320 10406 10560 10656 10707 10890 10956 10989 11205 11352 11610 11616 11840 11880 11952 12210 12284 12384 12728 12771 13024 13068 13280 13320 13431 13695 13760 14190 14276 14319 14520 14608 14652 14940 15136 15355 15480 15609 15840 15910 15936 15984 16280 16335 16434 17028 17424 17501 17760 17845 17908 17928 18260 18315 18426 18576 18920 19008 19092 19360 19536 19920 19980 20086 20640 20812 21285 21312 21414 21780 21912 21978 22385 22410 22704 23220 23232 23760 23865 23904 24420 24568 24651 24768 25456 25542 26015 26048 26136 26560 26640 26862 27390 27639 28380 28552 28638 29040 29216 29304 29880 30129 30272 30710 30960 31218 31680 31820 31968 32121 32560 32670 32868 33781 34056 34848 35002 35520 35690 35816 35856 36520 36630 36852 37152 37840 38184 38720 39072 39259 39840 39960 40172 40293 41085 41280 41624 42570 42828 42957 43560 43824 43956 44770 44820 45408 46065 46440 46827 47520 47730 47808 48840 49136 49302 50215 50912 51084 52030 52272 52503 53280 53535 53724 54780 54945 55278 56760 57104 57276 58080 58432 58608 59760 60258 61420 61920 62436 63640 63855 63936 64242 65120 65340 65736 67155 67562 68112 69696 70004 71380 71595 71632 71712 73040 73260 73704 74304 75680 76368 78045 78144 78518 79680 79920 80344 80586 82170 82917 83248 85140 85656 85914 87120 87505 87648 87912 89540 89640 90387 90816 92130 92880 93654 95040 95460 96363 97680 98272 98604 100430 101343 101824 102168 104060 104544 105006 106560 107070 107448 109560 109890 110556 113520 114208 114552 116160 117216 117777 119520 120516 120879 122840 123255 123840 124872 127280 127710 128484 130240 130680 131472 132053 134310 135124 136224 138195 140008 140481 142760 143190 143264 143424 146080 146520 147408 150645 151360 152736 156090 157036 157509 159840 160605 160688 161172 164340 165834 166496 168905 170280 171312 171828 174240 175010 175296 175824 179080 179280 180774 184260 185760 187308 190920 192511 192726 195360 196295 196544 197208 200860 201465 202686 204336 208120 209088 210012 214140 214785 214896 219120 219780 221112 227040 228416 229104 234135 234432 235554 239040 241032 241758 245680 246510 249744 254560 255420 256968 261360 262515 262944 264106 268620 270248 271161 272448 276390 280016 280962 285520 286380 286528 292160 293040 294816 301290 304029 305472 312180 314072 315018 319680 321210 321376 322344 328680 331668 332992 337810 340560 342624 343656 348480 350020 351648 353331 358160 358560 361548 368520 371520 371591 374616 381840 385022 385452 390720 392590 394416 396159 401720 402930 405372 408672 414585 416240 420024 428280 429570 429792 431849 438240 439560 442224 451935 454080 458208 468270 471108 472527 481815 482064 483516 491360 493020 499488 506715 509120 510840 513936 522720 525030 525888 528212 537240 540496 542322 552780 560032 561924 571040 572760 577533 586080 588885 589632 602580 604395 608058 624360 628144 630036 642420 642752 644688 657360 660265 663336 675620 681120 685248 687312 700040 702405 703296 706662 716320 717120 723096 737040 743182 749232 763680 770044 770904 785180 787545 788832 792318 803440 805860 810744 817344 829170 832480 840048 856560 859140 859584 863698 876480 879120 884448 903870 912087 916416 936540 942216 945054 962555 963630 964128 967032 982720 986040 998976 1013430 1021680 1027872 1045440 1050060 1056424 1059993 1074480 1080992 1084644 1105560 1114773 1120064 1123848 1142080 1145520 1155066 1172160 1177770 1188477 1205160 1208790 1216116 1248720 1256288 1260072 1284840 1289376 1295547 1314720 1320530 1326672 1351240 1355805 1362240 1374624 1400080 1404810 1413324 1432640 1446192 1452583 1474080 1486364 1498464 1520145 1527360 1540088 1541808 1570360 1575090 1577664 1584636 1606880 1611720 1621488 1658340 1664960 1680096 1713120 1718280 1727396 1732599 1758240 1766655 1768896 1807740 1824174 1857955 1873080 1884432 1890108 1925110 1927260 1928256 1934064 1972080 1980795 2026860 2043360 2055744 2100120 2112848 2119986 2148960 2159245 2161984 2169288 2211120 2229546 2247696 2291040 2310132 2355540 2362635 2376954 2410320 2417580 2432232 2497440 2512576 2520144 2569680 2578752 2591094 2629440 2641060 2653344 2702480 2711610 2749248 2800160 2809620 2826648 2887665 2892384 2905166 2948160 2972728 2996928 3040290 3080176 3083616 3140720 3150180 3169272 3213760 3223440 3242976 3316680 3344319 3360192 3426240 3436560 3454792 3465198 3516480 3533310 3565431 3615480 3648348 3715910 3746160 3768864 3780216 3850220 3854520 3868128 3886641 3944160 3961590 4053720 4086720 4200240 4225696 4239972 4297920 4318490 4338576 4357749 4422240 4459092 4495392 4560435 4582080 4620264 4711080 4725270 4753908 4820640 4835160 4864464 4994880 5040288 5139360 5182188 5197797 5282120 5299965 5306688 5404960 5423220 5573865 5600320 5619240 5653296 5775330 5784768 5810332 5942385 5945456 6080580 6160352 6167232 6281440 6300360 6338544 6446880 6477735 6485952 6633360 6688638 6873120 6909584 6930396 7066620 7130862 7230960 7262915 7296696 7431820 7492320 7537728 7560432 7700440 7709040 7736256 7773282 7888320 7923180 8107440 8400480 8451392 8479944 8636980 8662995 8677152 8715498 8844480 8918184 8990784 9120870 9240528 9422160 9450540 9507816 9641280 9670320 9728928 10032957 10080576 10278720 10364376 10395594 10564240 10599930 10809920 10846440 11147730 11238480 11306592 11550660 11620664 11659923 11884770 11890912 12161160 12320704 12562880 12600720 12677088 12893760 12955470 13073247 13266720 13377276 13746240 13819168 13860792 14133240 14261724 14461920 14525830 14593392 14863640 14984640 15120864 15400880 15418080 15546564 15846360 15978413 16214880 16721595 16800960 16959888 17273960 17325990 17354304 17430996 17827155 17836368 18241740 18481056 18844320 18901080 19015632 19340640 19433205 19457856 20065914 20728752 20791188 21128480 21199860 21692880 21788745 22295460 22476960 22613184 23101320 23241328 23319846 23769540 23781824 24322320 25201440 25354176 25910940 25988985 26146494 26533440 26754552 27638336 27721584 28266480 28523448 28923840 29051660 29186784 29727280 30241728 30801760 30836160 31093128 31692720 31956826 32429760 33443190 33919776 34547920 34651980 34861992 35654310 35672736 36483480 36962112 37688640 37802160 38031264 38681280 38866410 39219741 40131828 41457504 41582376 42256960 42399720 43385760 43577490 44590920 44953920 46202640 46482656 46639692 47539080 47935239 48644640 50164785 50402880 51821880 51977970 52292988 53509104 55443168 56532960 57046896 58103320 58299615 58373568 59454560 61603520 62186256 63385440 63913652 65366235 66886380 67839552 69095840 69303960 69723984 71308620 71345472 72966960 75604320 76062528 77732820 78439482 79892065 80263656 82915008 83164752 84799440 86771520 87154980 89181840 92405280 92965312 93279384 95078160 95870478 97289280 100329570 103643760 103955940 104585976 107018208 110886336 113065920 114093792 116206640 116599230 118909120 124372512 126770880 127827304 130732470 133772760 138191680 138607920 139447968 142617240 143805717 145933920 151208640 155465640 156878964 159784130 160527312 166329504 169598880 174309960 178363680 184810560 186558768 190156320 191740956 196098705 200659140 207287520 207911880 209171952 214036416 228187584 232413280 233198460 239676195 248745024 255654608 261464940 267545520 277215840 278895936 285234480 287611434 291867840 310931280 313757928 319568260 321054624 332659008 339197760 348619920 356727360 373117536 380312640 383481912 392197410 401318280 414575040 415823760 418343904 431417151 464826560 466396920 479352390 511309216 522929880 535091040 554431680 570468960 575222868 621862560 627515856 639136520 642109248 697239840 719028585 746235072 766963824 784394820 802636560 831647520 836687808 862834302 932793840 958704780 1022618432 1045859760 1070182080 1140937920 1150445736 1243725120 1255031712 1278273040 1394479680 1438057170 1533927648 1568789640 1605273120 1663295040 1725668604 1865587680 1917409560 2091719520 2157085755 2300891472 2510063424 2556546080 2876114340 3067855296 3137579280 3210546240 3451337208 3731175360 3834819120 4183439040 4314171510 4601782944 5113092160 5752228680 6275158560 6902674416 7669638240 8628343020 9203565888 11504457360 12550317120 13805348832 15339276480 17256686040 23008914720 27610697664 34513372080 46017829440 69026744160 138053488320
• Sum of all divisors σ(n): 569353720320
• Sum of proper divisors (its aliquot sum) s(n): 431300232000
• 138053488320 is an abundant number, because the sum of its proper divisors (431300232000) is greater than itself. Its abundance is 293246743680

Bases of 138053488320

• Binary: 10000000100100101000010000111011000000₂
• Hexadecimal: 0x2024A10EC0
• Base-36: 1RF5HDC0

Squares and roots of 138053488320

• 138053488320 squared (138053488320²) is 19058765637320376422400
• 138053488320 cubed (138053488320³) is 2631129079305425942527801786368000
• The square root of 138053488320 is 371555.4983040891
• The cube root of 138053488320 is 5168.3168204139

Scales and comparisons

• 138,053,488,320 seconds is equal to 4,389 years, 35 weeks, 7 hours, 12 minutes.
• To count from 1 to 138,053,488,320 would take you about eight thousand, seven hundred seventy-nine 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 138053488320 cubic inches would be around 430.7 feet tall.

Recreational maths with 138053488320

• 138053488320 backwards is 023884350831
• 138053488320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138053488320's digits is 45
• More coming soon!