1230820131200
1,230,820,131,200 is an even composite number composed of six prime numbers multiplied together.
1230820131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 1230820131200:
27 × 52 × 112 × 31 × 412 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 31 × 41 × 41 × 61)See below for interesting mathematical facts about the number 1230820131200 from the Numbermatics database.
Names of 1230820131200
- Cardinal: 1230820131200 can be written as One trillion, two hundred thirty billion, eight hundred twenty million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.2308201312 × 1012
Factors of 1230820131200
Divisors of 1230820131200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 41 44 50 55 61 62 64 80 82 88 100 110 121 122 124 128 155 160 164 176 200 205 220 242 244 248 275 305 310 320 328 341 352 400 410 440 451 484 488 496 550 605 610 620 640 656 671 682 704 775 800 820 880 902 968 976 992 1025 1100 1210 1220 1240 1271 1312 1342 1364 1408 1525 1550 1600 1640 1681 1705 1760 1804 1891 1936 1952 1984 2050 2200 2255 2420 2440 2480 2501 2542 2624 2684 2728 3025 3050 3100 3200 3280 3355 3362 3410 3520 3608 3751 3782 3872 3904 3968 4100 4400 4510 4840 4880 4960 4961 5002 5084 5248 5368 5456 6050 6100 6200 6355 6560 6710 6724 6820 7040 7216 7381 7502 7564 7744 7808 8200 8405 8525 8800 9020 9455 9680 9760 9920 9922 10004 10168 10736 10912 11275 12100 12200 12400 12505 12710 13120 13420 13448 13640 13981 14432 14762 15004 15128 15488 16400 16775 16810 17050 17600 18040 18491 18755 18910 19360 19520 19840 19844 20008 20336 20801 21472 21824 22550 24200 24400 24800 24805 25010 25420 26240 26840 26896 27280 27511 27962 28864 29524 30008 30256 31775 32800 33550 33620 34100 35200 36080 36905 36982 37510 37820 38720 39040 39688 40016 40672 41602 42025 42944 43648 45100 47275 48400 48800 49600 49610 50020 50840 52111 53680 53792 54560 55022 55924 57728 59048 60016 60512 62525 63550 65600 67100 67240 68200 69905 72160 73810 73964 75020 75640 77440 77531 79376 80032 81344 83204 84050 85888 90200 92455 93775 94550 96800 97600 99200 99220 100040 101680 102541 104005 104222 107360 107584 109120 110044 111848 118096 120032 121024 124025 125050 127100 131200 134200 134480 136400 137555 139810 144320 147620 147928 150040 151280 153791 155062 158752 160064 162688 166408 168100 180400 184525 184910 187550 189100 193600 195200 198440 200080 203360 203401 205082 208010 208444 214720 215168 218240 220088 223696 228811 236192 240064 242048 248050 250100 254200 260555 268400 268960 272800 275110 279620 288640 295240 295856 300080 302560 302621 307582 310124 317504 320128 332816 336200 349525 360800 369050 369820 375100 378200 387200 387655 396880 400160 406720 406802 410164 416020 416888 429440 440176 447392 457622 462275 472384 480128 496100 500200 508400 512705 520025 521110 536800 537920 545600 550220 559240 573221 590480 591712 600160 605120 605242 615164 620248 635008 665632 672400 687775 699050 721600 738100 739640 750200 756400 768955 775310 793760 800320 813440 813604 820328 832040 833776 852841 880352 894784 915244 924550 944768 992200 1000400 1016800 1017005 1025410 1040050 1042220 1073600 1075840 1091200 1100440 1118480 1127951 1144055 1146442 1180960 1183424 1200320 1210240 1210484 1230328 1240496 1302775 1331264 1344800 1375550 1398100 1443200 1476200 1479280 1500400 1512800 1513105 1537910 1550620 1587520 1600640 1627208 1640656 1664080 1667552 1705682 1760704 1789568 1830488 1849100 1938275 1984400 2000800 2033600 2034010 2050820 2080100 2084440 2147200 2200880 2236960 2255902 2288110 2292884 2361920 2366848 2400640 2420968 2460656 2480992 2563525 2605550 2662528 2689600 2751100 2796200 2866105 2952400 2958560 3000800 3025600 3026210 3075820 3101240 3175040 3178771 3254416 3281312 3328160 3335104 3411364 3521408 3660976 3698200 3844775 3876550 3968800 4001600 4067200 4068020 4101640 4160200 4168880 4264205 4401760 4473920 4511804 4576220 4585768 4723840 4841936 4921312 4961984 5085025 5127050 5211100 5379200 5502200 5592400 5639755 5720275 5732210 5904800 5917120 6001600 6051200 6052420 6151640 6202480 6305431 6357542 6508832 6562624 6656320 6670208 6822728 7321952 7396400 7565525 7689550 7753100 7937600 8003200 8136040 8203280 8320400 8337760 8528410 8803520 8947840 9023608 9152440 9171536 9381251 9683872 9842624 9923968 10170050 10254100 10422200 11004400 11184800 11279510 11440550 11464420 11809600 11834240 12003200 12104840 12303280 12404960 12407461 12610862 12715084 13017664 13125248 13312640 13645456 14330525 14643904 14792800 15131050 15379100 15506200 15875200 15893855 16272080 16406560 16640800 16675520 17056820 17607040 18047216 18304880 18343072 18762502 19367744 19685248 20340100 20508200 20844400 21321025 22008800 22369600 22559020 22881100 22928840 23619200 24209680 24606560 24809920 24814922 25221724 25430168 26035328 27290912 28198775 28661050 29287808 29585600 30262100 30758200 31012400 31527155 31787710 32544160 32813120 33281600 33351040 34113640 34966481 36094432 36609760 36686144 37525004 38735488 40680200 41016400 41688800 42642050 44017600 44739200 45118040 45762200 45857680 46906255 48419360 49213120 49619840 49629844 50443448 50860336 54581824 56397550 57322100 59171200 60524200 61516400 62024800 62037305 63054310 63575420 65088320 65626240 66563200 68227280 69932962 72188864 73219520 73372288 75050008 79469275 81360400 82032800 83377600 85284100 88035200 90236080 91524400 91715360 93812510 96838720 98426240 99259688 100886896 101720672 109163648 112795100 114644200 121048400 123032800 124049600 124074610 126108620 127150840 130176640 136454560 139865924 144377728 146439040 150100016 157635775 158938550 162720800 164065600 166755200 170568200 174832405 180472160 183048800 183430720 187625020 193677440 198519376 201773792 203441344 225590200 229288400 234531275 242096800 246065600 248099200 248149220 252217240 254301680 272909120 279731848 300200032 310186525 315271550 317877100 325441600 328131200 341136400 349664810 360944320 366097600 366861440 375250040 384631291 397038752 403547584 406882688 451180400 458576800 469062550 484193600 492131200 496298440 504434480 508603360 545818240 559463696 600400064 620373050 630543100 635754200 650883200 682272800 699329620 721888640 732195200 750500080 769262582 794077504 807095168 874162025 902360800 917153600 938125100 968387200 992596880 1008868960 1017206720 1118927392 1200800128 1240746100 1261086200 1271508400 1364545600 1398659240 1501000160 1538525164 1588155008 1748324050 1804721600 1834307200 1876250200 1923156455 1985193760 2017737920 2034413440 2237854784 2481492200 2522172400 2543016800 2729091200 2797318480 3002000320 3077050328 3496648100 3609443200 3752500400 3846312910 3970387520 4035475840 4475709568 4962984400 5044344800 5086033600 5594636960 6004000640 6154100656 6993296200 7505000800 7692625820 7940775040 9615782275 9925968800 10088689600 10172067200 11189273920 12308201312 13986592400 15010001600 15385251640 19231564550 19851937600 20177379200 22378547840 24616402624 27973184800 30020003200 30770503280 38463129100 39703875200 49232805248 55946369600 61541006560 76926258200 111892739200 123082013120 153852516400 246164026240 307705032800 615410065600 1230820131200
- Sum of all divisors σ(n): 3594019759680
- Sum of proper divisors (its aliquot sum) s(n): 2363199628480
- 1230820131200 is an abundant number, because the sum of its proper divisors (2363199628480) is greater than itself. Its abundance is 1132379497280
Bases of 1230820131200
- Binary: 100011110100100101001100011000001100000002
- Hexadecimal: 0x11E9298C180
- Base-36: FPFIIZCW
Squares and roots of 1230820131200
- 1230820131200 squared (12308201312002) is 1514918195367185213440000
- 1230820131200 cubed (12308201312003) is 1864591811979106136580920803328000000
-
The
square root of 1230820131200 is 1109423.3327274129 -
The
cube root of 1230820131200 is 10716.7935293835
Scales and comparisons
How big is 1230820131200?- 1,230,820,131,200 seconds is equal to 39,136 years, 14 weeks, 1 day, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 1,230,820,131,200 would take you about ninety-seven thousand, eight hundred forty 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 1230820131200 cubic inches would be around 893.1 feet tall.
Recreational maths with 1230820131200
- 1230820131200 backwards is 0021310280321
- The number of decimal digits it has is: 13
- The sum of 1230820131200's digits is 23
- More coming soon!
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