138793267200

Names of 138793267200

• Cardinal: 138793267200 can be written as One hundred thirty-eight billion, seven hundred ninety-three million, two hundred sixty-seven thousand, two hundred.

Scientific notation

• Scientific notation: 1.387932672 × 10¹¹

Factors of 138793267200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 158

Divisors of 138793267200

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 43 48 50 56 57 60 64 70 75 76 79 80 84 86 95 96 100 105 112 114 120 128 129 133 140 150 152 158 160 168 172 175 190 192 200 210 215 224 228 237 240 256 258 266 280 285 300 301 304 316 320 336 344 350 380 384 395 399 400 420 430 448 456 474 475 480 512 516 525 532 553 560 570 600 602 608 632 640 645 665 672 688 700 760 768 790 798 800 817 840 860 896 903 912 948 950 960 1024 1032 1050 1064 1075 1106 1120 1140 1185 1200 1204 1216 1264 1280 1290 1330 1344 1376 1400 1425 1501 1505 1520 1536 1580 1596 1600 1634 1659 1680 1720 1792 1806 1824 1896 1900 1920 1975 1995 2048 2064 2100 2128 2150 2212 2240 2280 2370 2400 2408 2432 2451 2528 2560 2580 2660 2688 2752 2765 2800 2850 3002 3010 3040 3072 3160 3192 3200 3225 3268 3318 3325 3360 3397 3440 3584 3612 3648 3792 3800 3840 3950 3990 4085 4096 4128 4200 4256 4300 4424 4480 4503 4515 4560 4740 4800 4816 4864 4902 5056 5120 5160 5320 5376 5504 5530 5600 5700 5719 5925 6004 6020 6080 6144 6320 6384 6400 6450 6536 6636 6650 6720 6794 6880 7168 7224 7296 7505 7525 7584 7600 7680 7900 7980 8170 8256 8295 8400 8512 8600 8848 8960 9006 9030 9120 9480 9600 9632 9728 9804 9975 10112 10191 10240 10320 10507 10640 10752 11008 11060 11200 11400 11438 11850 12008 12040 12160 12255 12288 12640 12768 12800 12900 13072 13272 13300 13440 13588 13760 13825 14336 14448 14592 15010 15050 15168 15200 15360 15800 15960 16340 16512 16590 16800 16985 17024 17157 17200 17696 17920 18012 18060 18240 18960 19200 19264 19456 19608 19950 20224 20382 20425 20480 20640 21014 21280 21504 22016 22120 22400 22515 22575 22800 22876 23700 23779 24016 24080 24320 24510 25280 25536 25600 25800 26144 26544 26600 26880 27176 27520 27650 28595 28672 28896 29184 30020 30100 30336 30400 30720 31521 31600 31920 32680 33024 33180 33600 33970 34048 34314 34400 35392 35840 36024 36120 36480 37525 37920 38400 38528 38912 39216 39900 40448 40764 40850 41280 41475 42028 42560 43008 44032 44240 44800 45030 45150 45600 45752 47400 47558 48032 48160 48640 49020 50560 50955 51072 51200 51600 52288 52535 53088 53200 53760 54352 55040 55300 57190 57792 58368 60040 60200 60672 60800 61275 61440 63042 63200 63840 64543 65360 66048 66360 67200 67940 68096 68628 68800 70784 71337 71680 72048 72240 72960 75050 75840 76800 77056 77824 78432 79800 80896 81528 81700 82560 82950 84056 84925 85120 85785 86016 88064 88480 89600 90060 90300 91200 91504 94800 95116 96064 96320 97280 98040 101120 101910 102144 102400 103200 104576 105070 106176 106400 107520 108704 110080 110600 112575 114380 115584 116736 118895 120080 120400 121344 121600 122550 126084 126400 127680 129086 130720 132096 132720 134400 135880 136192 137256 137600 141568 142674 142975 143360 144096 144480 145920 150100 151680 153600 154112 156864 157605 159600 161792 163056 163400 165120 165900 168112 169850 170240 171570 176128 176960 179200 180120 180600 182400 183008 189600 190232 192128 192640 193629 194560 196080 202240 203820 204288 206400 209152 210140 212352 212800 215040 217408 220160 221200 225150 228760 231168 233472 237790 240160 240800 242688 243200 245100 252168 252800 254775 255360 258172 261440 262675 264192 265440 268800 271760 272384 274512 275200 283136 285348 285950 288192 288960 291840 300200 303360 307200 308224 313728 315210 319200 322715 323584 326112 326800 330240 331800 336224 339700 340480 343140 353920 356685 358400 360240 361200 364800 366016 379200 380464 384256 385280 387258 389120 392160 404480 407640 408576 412800 418304 420280 424704 425600 428925 430080 434816 440320 442400 450300 451801 457520 462336 475580 480320 481600 485376 486400 490200 504336 505600 509550 510720 516344 522880 525350 528384 530880 537600 543520 544768 549024 550400 566272 570696 571900 576384 577920 583680 594475 600400 606720 616448 627456 630420 638400 645430 652224 653600 660480 663600 672448 679400 680960 686280 707840 713370 716800 720480 722400 729600 732032 758400 760928 768512 770560 774516 784320 788025 808960 815280 817152 825600 836608 840560 849408 851200 857850 869632 880640 884800 900600 903602 915040 924672 951160 960640 963200 968145 970752 972800 980400 1008672 1011200 1019100 1021440 1032688 1045760 1050700 1061760 1075200 1087040 1098048 1100800 1132544 1141392 1143800 1152768 1155840 1167360 1188950 1200800 1213440 1232896 1254912 1260840 1276800 1290860 1304448 1307200 1320960 1327200 1344896 1355403 1358800 1361920 1372560 1415680 1426740 1440960 1444800 1459200 1464064 1516800 1521856 1537024 1541120 1549032 1568640 1576050 1613575 1617920 1630560 1634304 1651200 1673216 1681120 1698816 1702400 1715700 1739264 1769600 1783425 1801200 1807204 1830080 1849344 1902320 1921280 1926400 1936290 1945600 1960800 2017344 2022400 2038200 2042880 2065376 2091520 2101400 2123520 2150400 2174080 2196096 2201600 2259005 2265088 2282784 2287600 2305536 2311680 2377900 2401600 2426880 2509824 2521680 2553600 2581720 2608896 2614400 2641920 2654400 2689792 2710806 2717600 2723840 2745120 2831360 2853480 2881920 2889600 2918400 2928128 3033600 3043712 3074048 3082240 3098064 3137280 3152100 3227150 3261120 3302400 3346432 3362240 3397632 3404800 3431400 3478528 3539200 3566850 3602400 3614408 3660160 3698688 3804640 3842560 3852800 3872580 3921600 4034688 4044800 4076400 4085760 4130752 4183040 4202800 4247040 4348160 4392192 4403200 4518010 4565568 4575200 4611072 4623360 4755800 4803200 4840725 4853760 5019648 5043360 5107200 5163440 5217792 5228800 5308800 5379584 5421612 5435200 5490240 5662720 5706960 5763840 5779200 5836800 5856256 6067200 6087424 6148096 6164480 6196128 6274560 6304200 6454300 6522240 6604800 6724480 6777015 6795264 6809600 6862800 6957056 7078400 7133700 7204800 7228816 7320320 7609280 7685120 7705600 7745160 7843200 8069376 8089600 8152800 8171520 8261504 8366080 8405600 8494080 8696320 8784384 9036020 9131136 9150400 9222144 9246720 9511600 9606400 9681450 10039296 10086720 10214400 10326880 10435584 10457600 10617600 10759168 10843224 10870400 10980480 11295025 11325440 11413920 11527680 11558400 11712512 12134400 12174848 12392256 12549120 12608400 12908600 13044480 13209600 13448960 13554030 13619200 13725600 13914112 14156800 14267400 14409600 14457632 14640640 15218560 15370240 15411200 15490320 15686400 16138752 16305600 16523008 16732160 16811200 16988160 17392640 17568768 18072040 18262272 18300800 18444288 18493440 19023200 19212800 19362900 20173440 20428800 20653760 20871168 20915200 21235200 21518336 21686448 21740800 21960960 22590050 22827840 23055360 23116800 23425024 24268800 24349696 24784512 25098240 25216800 25817200 26088960 26897920 27108060 27451200 28313600 28534800 28819200 28915264 29281280 30437120 30740480 30822400 30980640 31372800 32277504 32611200 33046016 33622400 33885075 33976320 34785280 35137536 36144080 36524544 36601600 38046400 38425600 38725800 40346880 40857600 41307520 41742336 41830400 42470400 43036672 43372896 43481600 43921920 45180100 45655680 46110720 46233600 48699392 49569024 50196480 50433600 51634400 52177920 53795840 54216120 54902400 56627200 57069600 57638400 57830528 58562560 60874240 61961280 62745600 64555008 65222400 66092032 67244800 67770150 69570560 70275072 72288160 73049088 73203200 76092800 76851200 77451600 80693760 82615040 83660800 84940800 86745792 86963200 87843840 90360200 91311360 92221440 92467200 97398784 99138048 100867200 103268800 104355840 107591680 108432240 109804800 114139200 115276800 115661056 117125120 121748480 123922560 125491200 129110016 130444800 132184064 134489600 135540300 144576320 146098176 146406400 152185600 153702400 154903200 161387520 165230080 169881600 173491584 173926400 175687680 180720400 182622720 198276096 201734400 206537600 208711680 215183360 216864480 219609600 228278400 230553600 231322112 243496960 247845120 250982400 260889600 264368128 268979200 271080600 289152640 292196352 292812800 304371200 309806400 322775040 330460160 346983168 347852800 351375360 361440800 365245440 396552192 403468800 413075200 433728960 439219200 456556800 461107200 462644224 486993920 495690240 521779200 537958400 542161200 578305280 585625600 608742400 619612800 645550080 660920320 693966336 722881600 730490880 793104384 806937600 826150400 867457920 878438400 913113600 925288448 991380480 1043558400 1075916800 1084322400 1156610560 1217484800 1239225600 1321840640 1387932672 1445763200 1460981760 1613875200 1652300800 1734915840 1756876800 1826227200 1850576896 1982760960 2168644800 2313221120 2434969600 2478451200 2775865344 2891526400 3227750400 3304601600 3469831680 3652454400 3965521920 4337289600 4626442240 4956902400 5551730688 5783052800 6609203200 6939663360 7304908800 8674579200 9252884480 9913804800 11566105600 13879326720 17349158400 19827609600 23132211200 27758653440 34698316800 46264422400 69396633600 138793267200
• Sum of all divisors σ(n): 572033228800
• Sum of proper divisors (its aliquot sum) s(n): 433239961600
• 138793267200 is an abundant number, because the sum of its proper divisors (433239961600) is greater than itself. Its abundance is 294446694400

Bases of 138793267200

• Binary: 10000001010000101110010011000000000000₂
• Hexadecimal: 0x2050B93000
• Base-36: 1RRDXEDC

Squares and roots of 138793267200

• 138793267200 squared (138793267200²) is 19263571020050595840000
• 138793267200 cubed (138793267200³) is 2673653959812058905940328448000000
• The square root of 138793267200 is 372549.6842033287
• The cube root of 138793267200 is 5177.5320951263

Scales and comparisons

• 138,793,267,200 seconds is equal to 4,413 years, 10 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 138,793,267,200 would take you about eight thousand, eight hundred twenty-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 138793267200 cubic inches would be around 431.5 feet tall.

Recreational maths with 138793267200

• 138793267200 backwards is 002762397831
• 138793267200 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138793267200's digits is 48
• More coming soon!