105138432000

Names of 105138432000

• Cardinal: 105138432000 can be written as One hundred five billion, one hundred thirty-eight million, four hundred thirty-two thousand.

Scientific notation

• Scientific notation: 1.05138432 × 10¹¹

Factors of 105138432000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 111

Divisors of 105138432000

• Number of divisors d(n): 1536
• 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 41 42 45 48 50 53 54 56 60 63 64 70 72 75 80 82 84 90 96 100 105 106 108 112 120 123 125 126 128 135 140 144 150 159 160 164 168 175 180 189 192 200 205 210 212 216 224 225 240 246 250 252 256 265 270 280 287 288 300 315 318 320 328 336 350 360 369 371 375 378 384 400 410 420 424 432 448 450 477 480 492 500 504 512 525 530 540 560 574 576 600 615 630 636 640 656 672 675 700 720 738 742 750 756 768 795 800 820 840 848 861 864 875 896 900 945 954 960 984 1000 1008 1024 1025 1050 1060 1080 1107 1113 1120 1125 1148 1152 1200 1230 1260 1272 1280 1312 1325 1344 1350 1400 1431 1435 1440 1476 1484 1500 1512 1536 1575 1590 1600 1640 1680 1696 1722 1728 1750 1792 1800 1845 1855 1890 1908 1920 1968 2000 2016 2048 2050 2100 2120 2160 2173 2214 2226 2240 2250 2296 2304 2385 2400 2460 2520 2544 2560 2583 2624 2625 2650 2688 2700 2800 2862 2870 2880 2952 2968 3000 3024 3072 3075 3150 3180 3200 3280 3339 3360 3375 3392 3444 3456 3500 3584 3600 3690 3710 3780 3816 3840 3936 3975 4000 4032 4100 4200 4240 4305 4320 4346 4428 4452 4480 4500 4592 4608 4725 4770 4800 4920 5040 5088 5120 5125 5166 5248 5250 5300 5376 5400 5535 5565 5600 5724 5740 5760 5904 5936 6000 6048 6144 6150 6300 6360 6400 6519 6560 6625 6678 6720 6750 6784 6888 6912 7000 7155 7168 7175 7200 7380 7420 7560 7632 7680 7749 7872 7875 7950 8000 8064 8200 8400 8480 8610 8640 8692 8856 8904 8960 9000 9184 9216 9225 9275 9450 9540 9600 9840 10017 10080 10176 10240 10250 10332 10496 10500 10600 10752 10800 10865 11070 11130 11200 11448 11480 11520 11808 11872 11925 12000 12096 12300 12600 12720 12800 12915 13038 13120 13250 13356 13440 13500 13568 13776 13824 14000 14310 14336 14350 14400 14760 14840 15120 15211 15264 15360 15375 15498 15744 15750 15900 16000 16128 16400 16695 16800 16960 17220 17280 17384 17712 17808 17920 18000 18368 18432 18450 18550 18900 19080 19200 19557 19680 19875 20034 20160 20352 20500 20664 20992 21000 21200 21504 21525 21600 21730 22140 22260 22400 22896 22960 23040 23616 23625 23744 23850 24000 24192 24600 25200 25440 25600 25830 26076 26240 26500 26712 26880 27000 27136 27552 27648 27675 27825 28000 28620 28700 28800 29520 29680 30240 30422 30528 30720 30750 30996 31488 31500 31800 32000 32256 32595 32800 33390 33600 33920 34440 34560 34768 35424 35616 35775 35840 35875 36000 36736 36900 37100 37800 38160 38400 38745 39114 39360 39750 40068 40320 40704 41000 41328 41984 42000 42400 43008 43050 43200 43460 44280 44520 44800 45633 45792 45920 46080 46125 46375 47232 47250 47488 47700 48000 48384 49200 50085 50400 50880 51200 51660 52152 52480 53000 53424 53760 54000 54272 54325 55104 55296 55350 55650 56000 57240 57400 57600 58671 59040 59360 59625 60480 60844 61056 61500 61992 62976 63000 63600 64000 64512 64575 65190 65600 66780 67200 67840 68880 69120 69536 70848 71232 71550 71680 71750 72000 73472 73800 74200 75600 76055 76320 76800 77490 78228 78720 79500 80136 80640 81408 82000 82656 83475 83968 84000 84800 86100 86400 86920 88560 89040 89600 91266 91584 91840 92160 92250 92750 94464 94500 94976 95400 96000 96768 97785 98400 100170 100800 101760 103320 104304 104960 106000 106848 107520 107625 108000 108544 108650 110208 110700 111300 112000 114480 114800 115200 117342 118080 118720 119250 120960 121688 122112 123000 123984 125952 126000 127200 128000 129024 129150 130380 131200 133560 134400 135680 136899 137760 138240 138375 139072 139125 141696 142464 143100 143500 144000 146944 147600 148400 151200 152110 152640 153600 154980 156456 157440 159000 160272 161280 162816 162975 164000 165312 166950 168000 169600 172200 172800 173840 177120 178080 178875 179200 182532 183168 183680 184500 185500 188928 189000 189952 190800 192000 193536 193725 195570 196800 200340 201600 203520 206640 208608 209920 212000 213696 215040 215250 216000 217300 220416 221400 222600 224000 228165 228960 229600 230400 234684 236160 237440 238500 241920 243376 244224 246000 247968 250425 251904 252000 254400 256000 258300 260760 262400 267120 268800 271360 271625 273798 275520 276480 276750 278144 278250 283392 284928 286200 287000 288000 293355 293888 295200 296800 302400 304220 305280 309960 312912 314880 318000 320544 322560 322875 325632 325950 328000 330624 333900 336000 339200 344400 345600 347680 354240 356160 357750 358400 365064 366336 367360 369000 371000 377856 378000 379904 380275 381600 384000 387072 387450 391140 393600 400680 403200 407040 410697 413280 417216 417375 419840 424000 427392 430500 432000 434600 440832 442800 445200 448000 456330 457920 459200 460800 469368 472320 474880 477000 483840 486752 488448 488925 492000 495936 500850 504000 508800 516600 521520 524800 534240 537600 542720 543250 547596 551040 553500 556288 556500 566784 569856 572400 574000 576000 586710 587776 590400 593600 604800 608440 610560 619920 625824 629760 636000 641088 645120 645750 651900 656000 661248 667800 672000 678400 684495 688800 691200 695360 708480 712320 715500 730128 732672 734720 738000 742000 755712 756000 759808 760550 763200 768000 774900 782280 787200 801360 806400 814080 814875 821394 826560 834432 834750 848000 854784 861000 864000 869200 881664 885600 890400 896000 912660 915840 918400 938736 944640 949760 954000 967680 968625 973504 976896 977850 984000 991872 1001700 1008000 1017600 1033200 1043040 1049600 1068480 1075200 1086500 1095192 1102080 1107000 1112576 1113000 1133568 1139712 1140825 1144800 1148000 1152000 1173420 1180800 1187200 1209600 1216880 1221120 1239840 1251648 1252125 1259520 1272000 1282176 1291500 1303800 1312000 1322496 1335600 1344000 1356800 1368990 1377600 1382400 1390720 1416960 1424640 1431000 1460256 1465344 1466775 1469440 1476000 1484000 1512000 1521100 1526400 1549800 1564560 1574400 1602720 1612800 1628160 1629750 1642788 1653120 1668864 1669500 1696000 1709568 1722000 1728000 1738400 1763328 1771200 1780800 1792000 1825320 1831680 1836800 1877472 1889280 1899520 1901375 1908000 1935360 1937250 1947008 1955700 1968000 1983744 2003400 2016000 2035200 2053485 2066400 2086080 2099200 2136960 2173000 2190384 2204160 2214000 2225152 2226000 2267136 2279424 2281650 2289600 2296000 2304000 2346840 2361600 2374400 2419200 2433760 2442240 2444625 2479680 2503296 2504250 2544000 2564352 2583000 2607600 2624000 2644992 2671200 2688000 2713600 2737980 2755200 2781440 2833920 2849280 2862000 2920512 2930688 2933550 2938880 2952000 2968000 3024000 3042200 3052800 3099600 3129120 3148800 3205440 3225600 3259500 3285576 3306240 3337728 3339000 3392000 3419136 3422475 3444000 3456000 3476800 3542400 3561600 3650640 3663360 3673600 3754944 3778560 3799040 3802750 3816000 3874500 3894016 3911400 3936000 3967488 4006800 4032000 4070400 4106970 4132800 4172160 4273920 4346000 4380768 4408320 4428000 4450304 4452000 4563300 4579200 4592000 4693680 4723200 4748800 4838400 4867520 4884480 4889250 4959360 5006592 5008500 5088000 5128704 5166000 5215200 5248000 5289984 5342400 5376000 5475960 5510400 5562880 5667840 5698560 5704125 5724000 5841024 5867100 5904000 5936000 6048000 6084400 6105600 6199200 6258240 6297600 6410880 6519000 6571152 6612480 6675456 6678000 6784000 6838272 6844950 6888000 6912000 6953600 7084800 7123200 7301280 7326720 7333875 7347200 7509888 7605500 7632000 7749000 7788032 7822800 7872000 7934976 8013600 8064000 8140800 8213940 8265600 8344320 8547840 8692000 8761536 8816640 8856000 8904000 9126600 9158400 9184000 9387360 9446400 9497600 9676800 9735040 9778500 9918720 10013184 10017000 10176000 10257408 10267425 10332000 10430400 10496000 10684800 10951920 11020800 11125760 11335680 11397120 11408250 11448000 11682048 11734200 11808000 11872000 12096000 12168800 12211200 12398400 12516480 12821760 13038000 13142304 13224960 13350912 13356000 13568000 13689900 13776000 13907200 14169600 14246400 14602560 14653440 14667750 14694400 15019776 15211000 15264000 15498000 15576064 15645600 15744000 15869952 16027200 16128000 16427880 16531200 16688640 17095680 17112375 17384000 17523072 17712000 17808000 18253200 18316800 18368000 18774720 18892800 18995200 19470080 19557000 19837440 20026368 20034000 20352000 20514816 20534850 20664000 20860800 21369600 21903840 22041600 22251520 22816500 22896000 23364096 23468400 23616000 23744000 24192000 24337600 24422400 24796800 25032960 25643520 26076000 26284608 26449920 26712000 27379800 27552000 27814400 28339200 28492800 29205120 29335500 30039552 30422000 30528000 30996000 31152128 31291200 31488000 32054400 32855760 33062400 33377280 34191360 34224750 34768000 35046144 35424000 35616000 36506400 36633600 36736000 37549440 38940160 39114000 39674880 40052736 40068000 40704000 41069700 41328000 41721600 42739200 43807680 44083200 45633000 45792000 46728192 46936800 47232000 47488000 48384000 48675200 49593600 50065920 51287040 51337125 52152000 52569216 53424000 54759600 55104000 55628800 56678400 56985600 58410240 58671000 60079104 60844000 61056000 61992000 62582400 64108800 65711520 66124800 66754560 68449500 69536000 70092288 70848000 71232000 73012800 73267200 73472000 75098880 77880320 78228000 79349760 80136000 82139400 82656000 83443200 85478400 87615360 91266000 91584000 93456384 93873600 94464000 94976000 97350400 99187200 100131840 102574080 102674250 104304000 105138432 106848000 109519200 110208000 111257600 116820480 117342000 120158208 121688000 122112000 123984000 125164800 128217600 131423040 132249600 136899000 139072000 140184576 141696000 142464000 146025600 150197760 155760640 156456000 160272000 164278800 165312000 166886400 170956800 175230720 182532000 183168000 187747200 194700800 198374400 200263680 205348500 208608000 210276864 213696000 219038400 220416000 233640960 234684000 243376000 247968000 250329600 256435200 262846080 273798000 278144000 280369152 283392000 284928000 292051200 300395520 312912000 320544000 328557600 330624000 333772800 350461440 365064000 366336000 375494400 389401600 396748800 410697000 417216000 420553728 427392000 438076800 467281920 469368000 486752000 495936000 500659200 512870400 525692160 547596000 556288000 584102400 600791040 625824000 641088000 657115200 661248000 700922880 730128000 750988800 778803200 821394000 834432000 841107456 854784000 876153600 938736000 973504000 991872000 1001318400 1051384320 1095192000 1168204800 1251648000 1282176000 1314230400 1401845760 1460256000 1501977600 1642788000 1668864000 1752307200 1877472000 1947008000 1983744000 2102768640 2190384000 2336409600 2503296000 2564352000 2628460800 2920512000 3003955200 3285576000 3504614400 3754944000 3894016000 4205537280 4380768000 5006592000 5256921600 5841024000 6571152000 7009228800 7509888000 8761536000 10513843200 11682048000 13142304000 15019776000 17523072000 21027686400 26284608000 35046144000 52569216000 105138432000
• Sum of all divisors σ(n): 463630003200
• Sum of proper divisors (its aliquot sum) s(n): 358491571200
• 105138432000 is an abundant number, because the sum of its proper divisors (358491571200) is greater than itself. Its abundance is 253353139200

Bases of 105138432000

• Binary: 1100001111010101111010010100000000000₂
• Hexadecimal: 0x187ABD2800
• Base-36: 1CASPHC0

Squares and roots of 105138432000

• 105138432000 squared (105138432000²) is 11054089883418624000000
• 105138432000 cubed (105138432000³) is 1162209677529696926957568000000000
• The square root of 105138432000 is 324250.5697759065
• The cube root of 105138432000 is 4719.7663390985

Scales and comparisons

• 105,138,432,000 seconds is equal to 3,343 years, 4 weeks.
• To count from 1 to 105,138,432,000 would take you about six thousand, six hundred eighty-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 105138432000 cubic inches would be around 393.3 feet tall.

Recreational maths with 105138432000

• 105138432000 backwards is 000234831501
• 105138432000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 105138432000's digits is 27
• More coming soon!