138083097600

Names of 138083097600

• Cardinal: 138083097600 can be written as One hundred thirty-eight billion, eighty-three million, ninety-seven thousand, six hundred.

Scientific notation

• Scientific notation: 1.380830976 × 10¹¹

Factors of 138083097600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 168

Divisors of 138083097600

• Number of divisors d(n): 1386
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 151 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 256 270 280 288 294 300 302 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 453 480 486 490 504 512 525 540 560 567 576 588 600 604 630 640 648 672 675 700 720 729 735 755 756 768 784 800 810 840 864 882 896 900 906 945 960 972 980 1008 1024 1050 1057 1080 1120 1134 1152 1176 1200 1208 1215 1225 1260 1280 1296 1323 1344 1350 1359 1400 1440 1458 1470 1510 1512 1536 1568 1575 1600 1620 1680 1701 1728 1764 1792 1800 1812 1890 1920 1944 1960 2016 2025 2100 2114 2160 2205 2240 2265 2268 2304 2352 2400 2416 2430 2450 2520 2560 2592 2646 2688 2700 2718 2800 2835 2880 2916 2940 3020 3024 3072 3136 3150 3171 3200 3240 3360 3402 3456 3528 3584 3600 3624 3645 3675 3775 3780 3840 3888 3920 3969 4032 4050 4077 4200 4228 4320 4410 4480 4530 4536 4608 4704 4725 4800 4832 4860 4900 5040 5103 5120 5184 5285 5292 5376 5400 5436 5600 5670 5760 5832 5880 6040 6048 6075 6272 6300 6342 6400 6480 6615 6720 6795 6804 6912 7056 7168 7200 7248 7290 7350 7399 7550 7560 7680 7776 7840 7938 8064 8100 8154 8400 8456 8505 8640 8820 8960 9060 9072 9216 9408 9450 9513 9600 9664 9720 9800 10080 10206 10368 10570 10584 10752 10800 10872 11025 11200 11325 11340 11520 11664 11760 11907 12080 12096 12150 12231 12544 12600 12684 12800 12960 13230 13440 13590 13608 13824 14112 14175 14400 14496 14580 14700 14798 15100 15120 15360 15552 15680 15855 15876 16128 16200 16308 16800 16912 17010 17280 17640 17920 18120 18144 18225 18816 18900 19026 19200 19328 19440 19600 19845 20160 20385 20412 20736 21140 21168 21504 21600 21744 22050 22197 22400 22650 22680 23040 23328 23520 23814 24160 24192 24300 24462 25088 25200 25368 25515 25600 25920 26425 26460 26880 27180 27216 27648 28224 28350 28539 28800 28992 29160 29400 29596 30200 30240 31104 31360 31710 31752 32256 32400 32616 33075 33600 33824 33975 34020 34560 35280 35721 35840 36240 36288 36450 36693 36995 37632 37800 38052 38400 38656 38880 39200 39690 40320 40770 40824 41472 42280 42336 42525 43200 43488 44100 44394 44800 45300 45360 46080 46656 47040 47565 47628 48320 48384 48600 48924 50176 50400 50736 51030 51840 52850 52920 53760 54360 54432 56448 56700 57078 57600 57984 58320 58800 59192 59535 60400 60480 61155 62208 62720 63420 63504 64512 64800 65232 66150 66591 67200 67648 67950 68040 69120 70560 71442 72480 72576 72900 73386 73990 75264 75600 76104 76800 77312 77760 78400 79275 79380 80640 81540 81648 82944 84560 84672 85050 85617 86400 86976 88200 88788 89600 90600 90720 93312 94080 95130 95256 96640 96768 97200 97848 99225 100800 101472 101925 102060 103680 105700 105840 107520 108720 108864 110079 110985 112896 113400 114156 115200 115968 116640 117600 118384 119070 120800 120960 122310 124416 125440 126840 127008 127575 129600 130464 132300 133182 134400 135296 135900 136080 138240 141120 142695 142884 144960 145152 145800 146772 147980 150528 151200 152208 154624 155520 156800 158550 158760 161280 163080 163296 169120 169344 170100 171234 172800 173952 176400 177576 178605 179200 181200 181440 183465 184975 186624 188160 190260 190512 193280 193536 194400 195696 198450 199773 201600 202944 203850 204120 207360 211400 211680 217440 217728 220158 221970 225792 226800 228312 230400 231936 233280 235200 236768 237825 238140 241600 241920 244620 248832 250880 253680 254016 255150 256851 259200 260928 264600 266364 268800 270592 271800 272160 282240 285390 285768 289920 290304 291600 293544 295960 297675 302400 304416 305775 311040 313600 317100 317520 322560 326160 326592 332955 338240 338688 340200 342468 345600 347904 352800 355152 357210 362400 362880 366930 369950 373248 376320 380520 381024 386560 388800 391392 396900 399546 403200 405888 407700 408240 414720 422800 423360 428085 434880 435456 440316 443940 451584 453600 456624 463872 466560 470400 473536 475650 476280 483200 483840 489240 507360 508032 510300 513702 518400 521856 529200 532728 537600 541184 543600 544320 550395 554925 564480 570780 571536 579840 580608 583200 587088 591920 595350 599319 604800 608832 611550 622080 627200 634200 635040 652320 653184 665910 676480 677376 680400 684936 691200 695808 705600 710304 713475 714420 724800 725760 733860 739900 746496 752640 761040 762048 770553 773120 777600 782784 793800 799092 806400 811776 815400 816480 845600 846720 856170 869760 870912 880632 887880 893025 907200 913248 917325 933120 940800 947072 951300 952560 966400 967680 978480 998865 1014720 1016064 1020600 1027404 1036800 1043712 1058400 1065456 1082368 1087200 1088640 1100790 1109850 1128960 1141560 1143072 1159680 1166400 1174176 1183840 1190700 1198638 1209600 1217664 1223100 1244160 1254400 1268400 1270080 1284255 1304640 1306368 1331820 1352960 1354752 1360800 1369872 1391616 1411200 1420608 1426950 1428840 1449600 1451520 1467720 1479800 1522080 1524096 1541106 1555200 1565568 1587600 1598184 1612800 1623552 1630800 1632960 1664775 1691200 1693440 1712340 1739520 1741824 1761264 1775760 1786050 1797957 1814400 1826496 1834650 1866240 1881600 1894144 1902600 1905120 1932800 1956960 1997730 2029440 2032128 2041200 2054808 2073600 2087424 2116800 2130912 2140425 2174400 2177280 2201580 2219700 2257920 2283120 2286144 2319360 2332800 2348352 2367680 2381400 2397276 2419200 2435328 2446200 2536800 2540160 2568510 2609280 2612736 2663640 2705920 2721600 2739744 2751975 2822400 2841216 2853900 2857680 2899200 2903040 2935440 2959600 2996595 3044160 3048192 3082212 3110400 3131136 3175200 3196368 3247104 3261600 3265920 3329550 3382400 3386880 3424680 3479040 3522528 3551520 3572100 3595914 3628800 3652992 3669300 3732480 3763200 3788288 3805200 3810240 3852765 3865600 3913920 3995460 4058880 4064256 4082400 4109616 4174848 4233600 4261824 4280850 4348800 4354560 4403160 4439400 4566240 4572288 4665600 4696704 4735360 4762800 4794552 4838400 4870656 4892400 4994325 5073600 5080320 5137020 5218560 5225472 5327280 5393871 5411840 5443200 5479488 5503950 5644800 5682432 5707800 5715360 5798400 5870880 5919200 5993190 6088320 6096384 6164424 6220800 6262272 6350400 6392736 6421275 6523200 6531840 6659100 6764800 6773760 6849360 6958080 7045056 7103040 7144200 7191828 7257600 7305984 7338600 7576576 7610400 7620480 7705530 7827840 7990920 8117760 8164800 8219232 8467200 8523648 8561700 8697600 8709120 8806320 8878800 8989785 9132480 9144576 9331200 9393408 9470720 9525600 9589104 9741312 9784800 9988650 10147200 10160640 10274040 10437120 10654560 10787742 10886400 10958976 11007900 11289600 11364864 11415600 11430720 11596800 11741760 11838400 11986380 12176640 12192768 12328848 12524544 12700800 12785472 12842550 13046400 13063680 13318200 13529600 13698720 14090112 14206080 14288400 14383656 14515200 14611968 14677200 14982975 15220800 15240960 15411060 15655680 15981840 16235520 16329600 16438464 16934400 17047296 17123400 17395200 17612640 17757600 17979570 18264960 18289152 18662400 18786816 18941440 19051200 19178208 19263825 19569600 19977300 20294400 20321280 20548080 20874240 21309120 21575484 21772800 21917952 22015800 22729728 22831200 22861440 23483520 23676800 23972760 24353280 24657696 25401600 25570944 25685100 26092800 26127360 26636400 26969355 27059200 27397440 28180224 28412160 28576800 28767312 29223936 29354400 29965950 30441600 30481920 30822120 31311360 31963680 32659200 32876928 33868800 34094592 34246800 34790400 35225280 35515200 35959140 36529920 36578304 37573632 37882880 38102400 38356416 38527650 39139200 39954600 40588800 41096160 42618240 43150968 43545600 43835904 44031600 44948925 45662400 45722880 46967040 47353600 47945520 48706560 49315392 50803200 51141888 51370200 52185600 53272800 53938710 54794880 56360448 56824320 57153600 57534624 58708800 59931900 60883200 60963840 61644240 62622720 63927360 65318400 65753856 68189184 68493600 70450560 71030400 71918280 73059840 76204800 76712832 77055300 78278400 79909200 81177600 82192320 85236480 86301936 87671808 88063200 89897850 91324800 91445760 93934080 94707200 95891040 98630784 101606400 102283776 102740400 104371200 106545600 107877420 109589760 112720896 113648640 114307200 115069248 117417600 119863800 121766400 123288480 127854720 130636800 131507712 134846775 136987200 140901120 142060800 143836560 146119680 152409600 153425664 154110600 156556800 159818400 164384640 170472960 172603872 176126400 179795700 182649600 182891520 187868160 189414400 191782080 197261568 204567552 205480800 213091200 215754840 219179520 228614400 230138496 234835200 239727600 243532800 246576960 255709440 263015424 269693550 273974400 281802240 284121600 287673120 304819200 306851328 308221200 313113600 319636800 328769280 340945920 345207744 352252800 359591400 365299200 383564160 394523136 410961600 426182400 431509680 438359040 457228800 460276992 469670400 479455200 493153920 511418880 539387100 547948800 563604480 568243200 575346240 613702656 616442400 639273600 657538560 690415488 704505600 719182800 730598400 767128320 789046272 821923200 852364800 863019360 914457600 920553984 939340800 958910400 986307840 1022837760 1078774200 1095897600 1150692480 1232884800 1278547200 1315077120 1380830976 1409011200 1438365600 1534256640 1643846400 1704729600 1726038720 1841107968 1917820800 1972615680 2157548400 2191795200 2301384960 2465769600 2557094400 2761661952 2818022400 2876731200 3068513280 3287692800 3452077440 3835641600 3945231360 4315096800 4602769920 4931539200 5114188800 5523323904 5753462400 6575385600 6904154880 7671283200 8630193600 9205539840 9863078400 11506924800 13808309760 15342566400 17260387200 19726156800 23013849600 27616619520 34520774400 46027699200 69041548800 138083097600
• Sum of all divisors σ(n): 600922052664
• Sum of proper divisors (its aliquot sum) s(n): 462838955064
• 138083097600 is an abundant number, because the sum of its proper divisors (462838955064) is greater than itself. Its abundance is 324755857464

Bases of 138083097600

• Binary: 10000000100110011001001101110000000000₂
• Hexadecimal: 0x202664DC00
• Base-36: 1RFN4000

Squares and roots of 138083097600

• 138083097600 squared (138083097600²) is 19066941842811125760000
• 138083097600 cubed (138083097600³) is 2632822391414412536683954176000000
• The square root of 138083097600 is 371595.3411979219
• The cube root of 138083097600 is 5168.6862888051

Scales and comparisons

• 138,083,097,600 seconds is equal to 4,390 years, 32 weeks.
• To count from 1 to 138,083,097,600 would take you about eight thousand, seven hundred eighty-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 138083097600 cubic inches would be around 430.7 feet tall.

Recreational maths with 138083097600

• 138083097600 backwards is 006790380831
• 138083097600 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138083097600's digits is 45
• More coming soon!