146313216000

Names of 146313216000

• Cardinal: 146313216000 can be written as One hundred forty-six billion, three hundred thirteen million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.46313216 × 10¹¹

Factors of 146313216000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 17

Divisors of 146313216000

• Number of divisors d(n): 1344
• 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 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 256 270 280 288 294 300 315 320 324 336 350 360 375 378 384 392 400 405 420 432 441 448 450 480 486 490 500 504 512 525 540 560 567 576 588 600 630 640 648 672 675 700 720 729 735 750 756 768 784 800 810 840 864 875 882 896 900 945 960 972 980 1000 1008 1024 1050 1080 1120 1125 1134 1152 1176 1200 1215 1225 1260 1280 1296 1323 1344 1350 1400 1440 1458 1470 1500 1512 1536 1568 1575 1600 1620 1680 1701 1728 1750 1764 1792 1800 1890 1920 1944 1960 2000 2016 2025 2048 2100 2160 2205 2240 2250 2268 2304 2352 2400 2430 2450 2520 2560 2592 2625 2646 2688 2700 2800 2835 2880 2916 2940 3000 3024 3072 3136 3150 3200 3240 3360 3375 3402 3456 3500 3528 3584 3600 3645 3675 3780 3840 3888 3920 3969 4000 4032 4050 4096 4200 4320 4410 4480 4500 4536 4608 4704 4725 4800 4860 4900 5040 5103 5120 5184 5250 5292 5376 5400 5600 5670 5760 5832 5880 6000 6048 6075 6125 6144 6272 6300 6400 6480 6615 6720 6750 6804 6912 7000 7056 7168 7200 7290 7350 7560 7680 7776 7840 7875 7938 8000 8064 8100 8192 8400 8505 8640 8820 8960 9000 9072 9216 9408 9450 9600 9720 9800 10080 10125 10206 10240 10368 10500 10584 10752 10800 11025 11200 11340 11520 11664 11760 11907 12000 12096 12150 12250 12288 12544 12600 12800 12960 13230 13440 13500 13608 13824 14000 14112 14175 14336 14400 14580 14700 15120 15360 15552 15680 15750 15876 16000 16128 16200 16384 16800 17010 17280 17640 17920 18000 18144 18225 18375 18432 18816 18900 19200 19440 19600 19845 20160 20250 20412 20480 20736 21000 21168 21504 21600 22050 22400 22680 23040 23328 23520 23625 23814 24000 24192 24300 24500 24576 25088 25200 25515 25600 25920 26460 26880 27000 27216 27648 28000 28224 28350 28672 28800 29160 29400 30240 30375 30720 31104 31360 31500 31752 32000 32256 32400 32768 33075 33600 34020 34560 35280 35721 35840 36000 36288 36450 36750 36864 37632 37800 38400 38880 39200 39690 40320 40500 40824 40960 41472 42000 42336 42525 43008 43200 44100 44800 45360 46080 46656 47040 47250 47628 48000 48384 48600 49000 49152 50176 50400 51030 51200 51840 52920 53760 54000 54432 55125 55296 56000 56448 56700 57344 57600 58320 58800 59535 60480 60750 61440 62208 62720 63000 63504 64000 64512 64800 66150 67200 68040 69120 70560 70875 71442 71680 72000 72576 72900 73500 73728 75264 75600 76800 77760 78400 79380 80640 81000 81648 81920 82944 84000 84672 85050 86016 86400 88200 89600 90720 91125 92160 93312 94080 94500 95256 96000 96768 97200 98000 98304 99225 100352 100800 102060 102400 103680 105840 107520 108000 108864 110250 110592 112000 112896 113400 114688 115200 116640 117600 119070 120960 121500 122880 124416 125440 126000 127008 127575 128000 129024 129600 132300 134400 136080 138240 141120 141750 142884 143360 144000 145152 145800 147000 147456 150528 151200 153600 155520 156800 158760 161280 162000 163296 163840 165375 165888 168000 169344 170100 172032 172800 176400 178605 179200 181440 182250 184320 186624 188160 189000 190512 192000 193536 194400 196000 198450 200704 201600 204120 204800 207360 211680 212625 215040 216000 217728 220500 221184 224000 225792 226800 229376 230400 233280 235200 238140 241920 243000 245760 248832 250880 252000 254016 255150 256000 258048 259200 264600 268800 272160 276480 282240 283500 285768 286720 288000 290304 291600 294000 294912 297675 301056 302400 307200 311040 313600 317520 322560 324000 326592 330750 331776 336000 338688 340200 344064 345600 352800 357210 358400 362880 364500 368640 373248 376320 378000 381024 384000 387072 388800 392000 396900 401408 403200 408240 409600 414720 423360 425250 430080 432000 435456 441000 442368 448000 451584 453600 460800 466560 470400 476280 483840 486000 491520 496125 497664 501760 504000 508032 510300 512000 516096 518400 529200 537600 544320 552960 564480 567000 571536 573440 576000 580608 583200 588000 595350 602112 604800 614400 622080 627200 635040 637875 645120 648000 653184 661500 663552 672000 677376 680400 688128 691200 705600 714420 716800 725760 729000 737280 746496 752640 756000 762048 768000 774144 777600 784000 793800 802816 806400 816480 819200 829440 846720 850500 860160 864000 870912 882000 884736 893025 896000 903168 907200 921600 933120 940800 952560 967680 972000 992250 995328 1003520 1008000 1016064 1020600 1024000 1032192 1036800 1058400 1075200 1088640 1105920 1128960 1134000 1143072 1146880 1152000 1161216 1166400 1176000 1190700 1204224 1209600 1228800 1244160 1254400 1270080 1275750 1290240 1296000 1306368 1323000 1327104 1344000 1354752 1360800 1382400 1411200 1428840 1433600 1451520 1458000 1474560 1488375 1492992 1505280 1512000 1524096 1536000 1548288 1555200 1568000 1587600 1605632 1612800 1632960 1658880 1693440 1701000 1720320 1728000 1741824 1764000 1786050 1792000 1806336 1814400 1843200 1866240 1881600 1905120 1935360 1944000 1984500 1990656 2007040 2016000 2032128 2041200 2048000 2064384 2073600 2116800 2150400 2177280 2211840 2257920 2268000 2286144 2304000 2322432 2332800 2352000 2381400 2408448 2419200 2457600 2488320 2508800 2540160 2551500 2580480 2592000 2612736 2646000 2654208 2688000 2709504 2721600 2764800 2822400 2857680 2867200 2903040 2916000 2976750 2985984 3010560 3024000 3048192 3072000 3096576 3110400 3136000 3175200 3225600 3265920 3317760 3386880 3402000 3440640 3456000 3483648 3528000 3572100 3584000 3612672 3628800 3686400 3732480 3763200 3810240 3870720 3888000 3969000 3981312 4014080 4032000 4064256 4082400 4096000 4147200 4233600 4300800 4354560 4423680 4465125 4515840 4536000 4572288 4608000 4644864 4665600 4704000 4762800 4816896 4838400 4976640 5017600 5080320 5103000 5160960 5184000 5225472 5292000 5376000 5419008 5443200 5529600 5644800 5715360 5734400 5806080 5832000 5953500 5971968 6021120 6048000 6096384 6144000 6193152 6220800 6272000 6350400 6451200 6531840 6635520 6773760 6804000 6912000 6967296 7056000 7144200 7168000 7225344 7257600 7372800 7464960 7526400 7620480 7741440 7776000 7938000 7962624 8028160 8064000 8128512 8164800 8294400 8467200 8601600 8709120 8930250 9031680 9072000 9144576 9216000 9289728 9331200 9408000 9525600 9676800 9953280 10035200 10160640 10206000 10321920 10368000 10450944 10584000 10752000 10838016 10886400 11059200 11289600 11430720 11612160 11664000 11907000 11943936 12042240 12096000 12192768 12288000 12441600 12544000 12700800 12902400 13063680 13271040 13547520 13608000 13824000 13934592 14112000 14288400 14336000 14450688 14515200 14929920 15052800 15240960 15482880 15552000 15876000 16128000 16257024 16329600 16588800 16934400 17203200 17418240 17860500 18063360 18144000 18289152 18432000 18579456 18662400 18816000 19051200 19353600 19906560 20070400 20321280 20412000 20736000 20901888 21168000 21504000 21676032 21772800 22118400 22579200 22861440 23224320 23328000 23814000 23887872 24084480 24192000 24385536 24883200 25088000 25401600 25804800 26127360 27095040 27216000 27648000 27869184 28224000 28576800 28672000 29030400 29859840 30105600 30481920 30965760 31104000 31752000 32256000 32514048 32659200 33177600 33868800 34836480 35721000 36126720 36288000 36578304 36864000 37324800 37632000 38102400 38707200 39813120 40140800 40642560 40824000 41472000 41803776 42336000 43008000 43352064 43545600 45158400 45722880 46448640 46656000 47628000 48384000 48771072 49766400 50176000 50803200 51609600 52254720 54190080 54432000 55296000 55738368 56448000 57153600 58060800 59719680 60211200 60963840 62208000 63504000 64512000 65028096 65318400 66355200 67737600 69672960 71442000 72253440 72576000 73156608 74649600 75264000 76204800 77414400 81285120 81648000 82944000 83607552 84672000 86016000 87091200 90316800 91445760 92897280 93312000 95256000 96768000 97542144 99532800 100352000 101606400 104509440 108380160 108864000 110592000 112896000 114307200 116121600 119439360 120422400 121927680 124416000 127008000 129024000 130056192 130636800 135475200 139345920 142884000 145152000 146313216 149299200 150528000 152409600 154828800 162570240 163296000 165888000 167215104 169344000 174182400 180633600 182891520 186624000 190512000 193536000 195084288 199065600 200704000 203212800 209018880 216760320 217728000 225792000 228614400 232243200 243855360 248832000 254016000 258048000 261273600 270950400 278691840 285768000 290304000 292626432 298598400 301056000 304819200 325140480 326592000 331776000 338688000 348364800 361267200 365783040 373248000 381024000 387072000 390168576 406425600 418037760 435456000 451584000 457228800 464486400 487710720 497664000 508032000 522547200 541900800 571536000 580608000 585252864 597196800 602112000 609638400 650280960 653184000 677376000 696729600 731566080 746496000 762048000 774144000 812851200 836075520 870912000 903168000 914457600 975421440 995328000 1016064000 1045094400 1083801600 1143072000 1161216000 1170505728 1219276800 1306368000 1354752000 1393459200 1463132160 1492992000 1524096000 1625702400 1741824000 1806336000 1828915200 1950842880 2032128000 2090188800 2286144000 2322432000 2438553600 2612736000 2709504000 2926264320 2985984000 3048192000 3251404800 3483648000 3657830400 4064256000 4180377600 4572288000 4877107200 5225472000 5419008000 5852528640 6096384000 6967296000 7315660800 8128512000 9144576000 9754214400 10450944000 12192768000 14631321600 16257024000 18289152000 20901888000 24385536000 29262643200 36578304000 48771072000 73156608000 146313216000
• Sum of all divisors σ(n): 636931781460
• Sum of proper divisors (its aliquot sum) s(n): 490618565460
• 146313216000 is an abundant number, because the sum of its proper divisors (490618565460) is greater than itself. Its abundance is 344305349460

Bases of 146313216000

• Binary: 10001000010000111100101000000000000000₂
• Hexadecimal: 0x2210F28000
• Base-36: 1V7R4000

Squares and roots of 146313216000

• 146313216000 squared (146313216000²) is 21407557176262656000000
• 146313216000 cubed (146313216000³) is 3132208537162868060061696000000000
• The square root of 146313216000 is 382509.1057739671
• The cube root of 146313216000 is 5269.4002224331

Scales and comparisons

• 146,313,216,000 seconds is equal to 4,652 years, 16 weeks.
• To count from 1 to 146,313,216,000 would take you about nine thousand, three hundred four 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 146313216000 cubic inches would be around 439.1 feet tall.

Recreational maths with 146313216000

• 146313216000 backwards is 000612313641
• 146313216000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146313216000's digits is 27
• More coming soon!