381513216000

Names of 381513216000

• Cardinal: 381513216000 can be written as Three hundred eighty-one billion, five hundred thirteen million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.81513216 × 10¹¹

Factors of 381513216000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 191

Divisors of 381513216000

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 49 50 56 60 64 70 74 75 80 84 96 98 100 105 111 112 120 125 128 137 140 147 148 150 160 168 175 185 192 196 200 210 222 224 240 245 250 256 259 274 280 294 296 300 320 336 350 370 375 384 392 400 411 420 444 448 480 490 500 512 518 525 548 555 560 588 592 600 640 672 685 700 735 740 750 768 777 784 800 822 840 875 888 896 925 959 960 980 1000 1024 1036 1050 1096 1110 1120 1176 1184 1200 1225 1280 1295 1344 1370 1400 1470 1480 1500 1536 1554 1568 1600 1644 1680 1750 1776 1792 1813 1850 1918 1920 1960 2000 2048 2055 2072 2100 2192 2220 2240 2352 2368 2400 2450 2560 2590 2625 2688 2740 2775 2800 2877 2940 2960 3000 3072 3108 3136 3200 3288 3360 3425 3500 3552 3584 3626 3675 3700 3836 3840 3885 3920 4000 4096 4110 4144 4200 4384 4440 4480 4625 4704 4736 4795 4800 4900 5069 5120 5180 5250 5376 5439 5480 5550 5600 5754 5880 5920 6000 6125 6144 6216 6272 6400 6475 6576 6713 6720 6850 7000 7104 7168 7252 7350 7400 7672 7680 7770 7840 8000 8220 8288 8400 8768 8880 8960 9065 9250 9408 9472 9590 9600 9800 10138 10240 10275 10360 10500 10752 10878 10960 11100 11200 11508 11760 11840 12000 12250 12288 12432 12544 12800 12950 13152 13426 13440 13700 13875 14000 14208 14336 14385 14504 14700 14800 15207 15344 15360 15540 15680 16000 16440 16576 16800 17125 17536 17760 17920 18130 18375 18500 18816 18944 19180 19200 19425 19600 20139 20276 20480 20550 20720 21000 21504 21756 21920 22200 22400 23016 23520 23680 23975 24000 24500 24864 25088 25345 25600 25900 26304 26852 26880 27195 27400 27750 28000 28416 28672 28770 29008 29400 29600 30414 30688 30720 31080 31360 32000 32375 32880 33152 33565 33600 34250 35072 35483 35520 35840 36260 36750 37000 37632 37888 38360 38400 38850 39200 40278 40552 41100 41440 42000 43008 43512 43840 44400 44800 45325 46032 47040 47360 47950 48000 49000 49728 50176 50690 51200 51375 51800 52608 53704 53760 54390 54800 55500 56000 56832 57540 58016 58800 59200 60828 61376 61440 62160 62720 64000 64750 65760 66304 67130 67200 68500 70144 70966 71040 71680 71925 72520 73500 74000 75264 75776 76035 76720 76800 77700 78400 80556 81104 82200 82880 84000 86016 87024 87680 88800 89600 90650 92064 94080 94720 95900 96000 97125 98000 99456 100352 100695 101380 102400 102750 103600 105216 106449 107408 107520 108780 109600 111000 112000 113664 115080 116032 117600 118400 119875 121656 122752 124320 125440 126725 128000 129500 131520 132608 134260 134400 135975 137000 140288 141932 142080 143360 143850 145040 147000 148000 150528 151552 152070 153440 153600 155400 156800 161112 162208 164400 165760 167825 168000 174048 175360 177415 177600 179200 181300 184128 188160 189440 191800 192000 194250 196000 198912 200704 201390 202760 205500 207200 210432 212898 214816 215040 217560 219200 222000 224000 226625 227328 230160 232064 235200 236800 239750 243312 245504 248381 248640 250880 253450 256000 259000 263040 265216 268520 268800 271950 274000 280576 283864 284160 287700 290080 294000 296000 301056 304140 306880 307200 310800 313600 322224 324416 328800 331520 335650 336000 348096 350720 354830 355200 358400 359625 362600 368256 376320 378880 380175 383600 384000 388500 392000 397824 402780 405520 411000 414400 420864 425796 429632 430080 435120 438400 444000 448000 453250 454656 460320 464128 470400 473600 479500 486624 491008 496762 497280 501760 503475 506900 512000 518000 526080 530432 532245 537040 537600 543900 548000 561152 567728 568320 575400 580160 588000 592000 602112 608280 613760 621600 627200 633625 644448 648832 657600 663040 671300 672000 679875 696192 701440 709660 710400 716800 719250 725200 736512 745143 752640 757760 760350 767200 768000 777000 784000 795648 805560 811040 822000 828800 839125 841728 851592 859264 870240 876800 887075 888000 896000 906500 920640 928256 940800 947200 959000 973248 982016 993524 994560 1003520 1006950 1013800 1036000 1052160 1060864 1064490 1074080 1075200 1087800 1096000 1135456 1136640 1150800 1160320 1176000 1184000 1216560 1227520 1241905 1243200 1254400 1267250 1288896 1297664 1315200 1326080 1342600 1344000 1359750 1392384 1402880 1419320 1420800 1438500 1450400 1473024 1490286 1505280 1520700 1534400 1536000 1554000 1568000 1591296 1611120 1622080 1644000 1657600 1678250 1683456 1703184 1718528 1740480 1753600 1774150 1776000 1792000 1813000 1841280 1856512 1881600 1894400 1900875 1918000 1946496 1964032 1987048 1989120 2013900 2027600 2072000 2104320 2128980 2148160 2150400 2175600 2192000 2270912 2273280 2301600 2320640 2352000 2368000 2433120 2455040 2483810 2486400 2508800 2517375 2534500 2577792 2595328 2630400 2652160 2661225 2685200 2688000 2719500 2784768 2805760 2838640 2841600 2877000 2900800 2946048 2980572 3010560 3041400 3068800 3108000 3136000 3182592 3222240 3244160 3288000 3315200 3356500 3406368 3437056 3480960 3507200 3548300 3552000 3584000 3626000 3682560 3713024 3725715 3763200 3788800 3801750 3836000 3892992 3928064 3974096 3978240 4027800 4055200 4144000 4208640 4257960 4296320 4351200 4384000 4435375 4541824 4603200 4641280 4704000 4736000 4866240 4910080 4967620 4972800 5017600 5034750 5069000 5155584 5190656 5260800 5304320 5322450 5370400 5376000 5439000 5569536 5677280 5683200 5754000 5801600 5892096 5961144 6082800 6137600 6209525 6216000 6272000 6444480 6488320 6576000 6630400 6713000 6812736 6874112 6961920 7014400 7096600 7104000 7252000 7365120 7426048 7451430 7526400 7603500 7672000 7785984 7948192 7956480 8055600 8110400 8288000 8417280 8515920 8592640 8702400 8768000 8870750 9083648 9206400 9282560 9408000 9472000 9732480 9820160 9935240 9945600 10069500 10138000 10311168 10381312 10521600 10644900 10740800 10752000 10878000 11139072 11354560 11366400 11508000 11603200 11784192 11922288 12165600 12275200 12419050 12432000 12544000 12888960 12976640 13152000 13260800 13306125 13426000 13625472 13748224 13923840 14028800 14193200 14208000 14504000 14730240 14902860 15052800 15207000 15344000 15571968 15896384 15912960 16111200 16220800 16576000 17031840 17185280 17404800 17536000 17741500 18167296 18412800 18565120 18628575 18816000 18944000 19464960 19640320 19870480 19891200 20139000 20276000 20622336 20762624 21043200 21289800 21481600 21756000 22278144 22709120 23016000 23206400 23844576 24331200 24550400 24838100 24864000 25088000 25777920 25953280 26304000 26521600 26612250 26852000 27250944 27496448 27847680 28386400 28416000 29008000 29460480 29805720 30414000 30688000 31047625 31143936 31792768 32222400 32441600 33152000 34063680 34370560 34809600 35072000 35483000 36334592 36825600 37130240 37257150 37632000 38929920 39740960 39782400 40278000 40552000 41244672 42086400 42579600 42963200 43512000 45418240 46032000 46412800 47689152 48662400 49100800 49676200 49728000 51555840 51906560 52608000 53224500 53704000 54501888 55695360 56772800 56832000 58016000 58920960 59611440 60828000 61376000 62095250 62287872 63585536 64444800 64883200 66304000 68127360 68741120 69619200 70144000 70966000 72669184 73651200 74514300 75264000 77859840 79481920 79564800 80556000 81104000 82489344 85159200 85926400 87024000 90836480 92064000 92825600 93142875 95378304 97324800 98201600 99352400 99456000 103111680 103813120 105216000 106449000 107408000 109003776 111390720 113545600 116032000 119222880 121656000 122752000 124190500 127171072 128889600 129766400 132608000 136254720 137482240 139238400 141932000 145338368 147302400 149028600 155719680 158963840 161112000 162208000 170318400 171852800 174048000 181672960 184128000 185651200 186285750 190756608 194649600 198704800 198912000 206223360 210432000 212898000 214816000 218007552 227091200 232064000 238445760 243312000 245504000 248381000 254342144 257779200 259532800 272509440 278476800 283864000 294604800 298057200 311439360 317927680 322224000 324416000 340636800 343705600 348096000 363345920 368256000 372571500 381513216 389299200 397409600 397824000 412446720 425796000 429632000 436015104 454182400 464128000 476891520 486624000 491008000 496762000 508684288 515558400 519065600 545018880 556953600 567728000 596114400 635855360 644448000 648832000 681273600 687411200 696192000 726691840 736512000 745143000 763026432 778598400 794819200 851592000 859264000 908364800 928256000 953783040 973248000 993524000 1017368576 1031116800 1090037760 1135456000 1192228800 1271710720 1288896000 1297664000 1362547200 1392384000 1473024000 1490286000 1526052864 1557196800 1589638400 1703184000 1718528000 1816729600 1907566080 1946496000 1987048000 2062233600 2180075520 2270912000 2384457600 2543421440 2577792000 2595328000 2725094400 2784768000 2980572000 3052105728 3179276800 3406368000 3437056000 3633459200 3815132160 3892992000 3974096000 4541824000 4768915200 5086842880 5155584000 5450188800 5961144000 6358553600 6812736000 7630264320 7785984000 7948192000 9083648000 9537830400 10311168000 10900377600 11922288000 12717107200 13625472000 15260528640 15896384000 18167296000 19075660800 23844576000 25434214400 27250944000 31792768000 38151321600 47689152000 54501888000 63585536000 76302643200 95378304000 127171072000 190756608000 381513216000
• Sum of all divisors σ(n): 1527773787072
• Sum of proper divisors (its aliquot sum) s(n): 1146260571072
• 381513216000 is an abundant number, because the sum of its proper divisors (1146260571072) is greater than itself. Its abundance is 764747355072

Bases of 381513216000

• Binary: 101100011010011111101011011000000000000₂
• Hexadecimal: 0x58D3F5B000
• Base-36: 4V9J49HC

Squares and roots of 381513216000

• 381513216000 squared (381513216000²) is 145552333982662656000000
• 381513216000 cubed (381513216000³) is 55530139034031718133661696000000000
• The square root of 381513216000 is 617667.5610714877
• The cube root of 381513216000 is 7252.7581483533

Scales and comparisons

• 381,513,216,000 seconds is equal to 12,130 years, 48 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 381,513,216,000 would take you about twenty-four thousand, two hundred sixty-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 381513216000 cubic inches would be around 604.4 feet tall.

Recreational maths with 381513216000

• 381513216000 backwards is 000612315183
• 381513216000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 381513216000's digits is 30
• More coming soon!