148142131200

Names of 148142131200

• Cardinal: 148142131200 can be written as One hundred forty-eight billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.481421312 × 10¹¹

Factors of 148142131200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 17

Divisors of 148142131200

• Number of divisors d(n): 1188
• 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 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 256 270 280 288 294 300 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 512 525 540 560 567 576 588 600 630 640 648 672 675 700 720 729 735 756 768 784 800 810 840 864 882 896 900 945 960 972 980 1008 1024 1050 1080 1120 1134 1152 1176 1200 1215 1225 1260 1280 1296 1323 1344 1350 1400 1440 1458 1470 1512 1536 1568 1575 1600 1620 1680 1701 1728 1764 1792 1800 1890 1920 1944 1960 2016 2025 2048 2100 2160 2187 2205 2240 2268 2304 2352 2400 2430 2450 2520 2560 2592 2646 2688 2700 2800 2835 2880 2916 2940 3024 3072 3136 3150 3200 3240 3360 3402 3456 3528 3584 3600 3645 3675 3780 3840 3888 3920 3969 4032 4050 4200 4320 4374 4410 4480 4536 4608 4704 4725 4800 4860 4900 5040 5103 5120 5184 5292 5376 5400 5600 5670 5760 5832 5880 6048 6075 6144 6272 6300 6400 6480 6561 6615 6720 6804 6912 7056 7168 7200 7290 7350 7560 7680 7776 7840 7938 8064 8100 8400 8505 8640 8748 8820 8960 9072 9216 9408 9450 9600 9720 9800 10080 10206 10240 10368 10584 10752 10800 10935 11025 11200 11340 11520 11664 11760 11907 12096 12150 12544 12600 12800 12960 13122 13230 13440 13608 13824 14112 14175 14336 14400 14580 14700 15120 15309 15360 15552 15680 15876 16128 16200 16800 17010 17280 17496 17640 17920 18144 18225 18432 18816 18900 19200 19440 19600 19683 19845 20160 20412 20736 21168 21504 21600 21870 22050 22400 22680 23040 23328 23520 23814 24192 24300 25088 25200 25515 25600 25920 26244 26460 26880 27216 27648 28224 28350 28800 29160 29400 30240 30618 30720 31104 31360 31752 32256 32400 32805 33075 33600 34020 34560 34992 35280 35721 35840 36288 36450 37632 37800 38400 38880 39200 39366 39690 40320 40824 41472 42336 42525 43008 43200 43740 44100 44800 45360 45927 46080 46656 47040 47628 48384 48600 50176 50400 51030 51200 51840 52488 52920 53760 54432 54675 55296 56448 56700 57600 58320 58800 59049 59535 60480 61236 62208 62720 63504 64512 64800 65610 66150 67200 68040 69120 69984 70560 71442 71680 72576 72900 75264 75600 76545 76800 77760 78400 78732 79380 80640 81648 82944 84672 85050 86400 87480 88200 89600 90720 91854 92160 93312 94080 95256 96768 97200 98415 99225 100352 100800 102060 103680 104976 105840 107163 107520 108864 109350 112896 113400 115200 116640 117600 118098 119070 120960 122472 124416 125440 127008 127575 129024 129600 131220 132300 134400 136080 137781 138240 139968 141120 142884 145152 145800 150528 151200 153090 153600 155520 156800 157464 158760 161280 163296 164025 165888 169344 170100 172800 174960 176400 178605 179200 181440 183708 186624 188160 190512 193536 194400 196830 198450 201600 204120 207360 209952 211680 214326 215040 217728 218700 225792 226800 229635 230400 233280 235200 236196 238140 241920 244944 248832 250880 254016 255150 259200 262440 264600 268800 272160 275562 276480 279936 282240 285768 290304 291600 295245 297675 301056 302400 306180 311040 313600 314928 317520 321489 322560 326592 328050 338688 340200 345600 349920 352800 357210 358400 362880 367416 373248 376320 381024 382725 387072 388800 393660 396900 403200 408240 413343 414720 419904 423360 428652 435456 437400 451584 453600 459270 460800 466560 470400 472392 476280 483840 489888 492075 497664 501760 508032 510300 518400 524880 529200 535815 537600 544320 551124 559872 564480 571536 580608 583200 590490 595350 604800 612360 622080 627200 629856 635040 642978 645120 653184 656100 677376 680400 688905 691200 699840 705600 714420 725760 734832 746496 752640 762048 765450 777600 787320 793800 806400 816480 826686 829440 839808 846720 857304 870912 874800 893025 903168 907200 918540 933120 940800 944784 952560 964467 967680 979776 984150 1016064 1020600 1036800 1049760 1058400 1071630 1075200 1088640 1102248 1119744 1128960 1143072 1148175 1161216 1166400 1180980 1190700 1209600 1224720 1244160 1254400 1259712 1270080 1285956 1306368 1312200 1354752 1360800 1377810 1382400 1399680 1411200 1428840 1451520 1469664 1476225 1492992 1505280 1524096 1530900 1555200 1574640 1587600 1607445 1612800 1632960 1653372 1679616 1693440 1714608 1741824 1749600 1786050 1814400 1837080 1866240 1881600 1889568 1905120 1928934 1935360 1959552 1968300 2032128 2041200 2066715 2073600 2099520 2116800 2143260 2177280 2204496 2239488 2257920 2286144 2296350 2332800 2361960 2381400 2419200 2449440 2488320 2508800 2519424 2540160 2571912 2612736 2624400 2679075 2709504 2721600 2755620 2799360 2822400 2857680 2893401 2903040 2939328 2952450 3048192 3061800 3110400 3149280 3175200 3214890 3225600 3265920 3306744 3359232 3386880 3429216 3444525 3483648 3499200 3572100 3628800 3674160 3732480 3763200 3779136 3810240 3857868 3919104 3936600 4064256 4082400 4133430 4147200 4199040 4233600 4286520 4354560 4408992 4478976 4515840 4572288 4592700 4665600 4723920 4762800 4822335 4838400 4898880 5038848 5080320 5143824 5225472 5248800 5358150 5443200 5511240 5598720 5644800 5715360 5786802 5806080 5878656 5904900 6096384 6123600 6220800 6298560 6350400 6429780 6531840 6613488 6718464 6773760 6858432 6889050 6998400 7144200 7257600 7348320 7464960 7526400 7558272 7620480 7715736 7838208 7873200 8037225 8128512 8164800 8266860 8398080 8467200 8573040 8709120 8817984 9144576 9185400 9331200 9447840 9525600 9644670 9676800 9797760 10077696 10160640 10287648 10333575 10450944 10497600 10716300 10886400 11022480 11197440 11289600 11430720 11573604 11757312 11809800 12192768 12247200 12441600 12597120 12700800 12859560 13063680 13226976 13436928 13547520 13716864 13778100 13996800 14288400 14467005 14515200 14696640 15116544 15240960 15431472 15676416 15746400 16074450 16329600 16533720 16796160 16934400 17146080 17418240 17635968 18289152 18370800 18662400 18895680 19051200 19289340 19595520 20155392 20321280 20575296 20667150 20995200 21432600 21772800 22044960 22394880 22579200 22861440 23147208 23514624 23619600 24111675 24385536 24494400 25194240 25401600 25719120 26127360 26453952 27433728 27556200 27993600 28576800 28934010 29030400 29393280 30233088 30481920 30862944 31352832 31492800 32148900 32659200 33067440 33592320 33868800 34292160 35271936 36578304 36741600 37324800 37791360 38102400 38578680 39191040 40310784 40642560 41150592 41334300 41990400 42865200 43545600 44089920 45722880 46294416 47029248 47239200 48223350 48988800 50388480 50803200 51438240 52254720 52907904 54867456 55112400 55987200 57153600 57868020 58786560 60466176 60963840 61725888 62985600 64297800 65318400 66134880 67184640 67737600 68584320 70543872 72335025 73156608 73483200 75582720 76204800 77157360 78382080 82301184 82668600 83980800 85730400 87091200 88179840 91445760 92588832 94058496 94478400 96446700 97977600 100776960 101606400 102876480 105815808 109734912 110224800 111974400 114307200 115736040 117573120 120932352 121927680 123451776 125971200 128595600 130636800 132269760 137168640 141087744 144670050 146966400 151165440 152409600 154314720 156764160 164602368 165337200 167961600 171460800 176359680 182891520 185177664 188956800 192893400 195955200 201553920 203212800 205752960 211631616 219469824 220449600 228614400 231472080 235146240 246903552 251942400 257191200 261273600 264539520 274337280 282175488 289340100 293932800 302330880 304819200 308629440 329204736 330674400 335923200 342921600 352719360 365783040 370355328 377913600 385786800 391910400 411505920 423263232 440899200 457228800 462944160 470292480 493807104 503884800 514382400 529079040 548674560 578680200 587865600 604661760 609638400 617258880 658409472 661348800 685843200 705438720 740710656 755827200 771573600 783820800 823011840 846526464 881798400 914457600 925888320 987614208 1007769600 1028764800 1058158080 1097349120 1157360400 1175731200 1234517760 1322697600 1371686400 1410877440 1481421312 1511654400 1543147200 1646023680 1763596800 1828915200 1851776640 1975228416 2057529600 2116316160 2314720800 2351462400 2469035520 2645395200 2743372800 2962842624 3023308800 3086294400 3292047360 3527193600 3703553280 4115059200 4232632320 4629441600 4938071040 5290790400 5486745600 5925685248 6172588800 7054387200 7407106560 8230118400 9258883200 9876142080 10581580800 12345177600 14814213120 16460236800 18517766400 21163161600 24690355200 29628426240 37035532800 49380710400 74071065600 148142131200
• Sum of all divisors σ(n): 640902270645
• Sum of proper divisors (its aliquot sum) s(n): 492760139445
• 148142131200 is an abundant number, because the sum of its proper divisors (492760139445) is greater than itself. Its abundance is 344618008245

Bases of 148142131200

• Binary: 10001001111101111101011000100000000000₂
• Hexadecimal: 0x227DF58800
• Base-36: 1W200000

Squares and roots of 148142131200

• 148142131200 squared (148142131200²) is 21946091036478013440000
• 148142131200 cubed (148142131200³) is 3251140697653069852943843328000000
• The square root of 148142131200 is 384892.3631354615
• The cube root of 148142131200 is 5291.2652041005

Scales and comparisons

• 148,142,131,200 seconds is equal to 4,710 years, 24 weeks.
• To count from 1 to 148,142,131,200 would take you about nine thousand, four hundred twenty 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 148142131200 cubic inches would be around 440.9 feet tall.

Recreational maths with 148142131200

• 148142131200 backwards is 002131241841
• 148142131200 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 148142131200's digits is 27
• More coming soon!