146013756000000
146,013,756,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 146013756000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
146013756000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 146013756000000:
28 × 3 × 56 × 7 × 89 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 89 × 19531)See below for interesting mathematical facts about the number 146013756000000 from the Numbermatics database.
Names of 146013756000000
- Cardinal: 146013756000000 can be written as One hundred forty-six trillion, thirteen billion, seven hundred fifty-six million.
Scientific notation
- Scientific notation: 1.46013756 × 1014
Factors of 146013756000000
Divisors of 146013756000000
- Number of divisors d(n): 1008
-
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 40 42 48 50 56 60 64 70 75 80 84 89 96 100 105 112 120 125 128 140 150 160 168 175 178 192 200 210 224 240 250 256 267 280 300 320 336 350 356 375 384 400 420 445 448 480 500 525 534 560 600 623 625 640 672 700 712 750 768 800 840 875 890 896 960 1000 1050 1068 1120 1200 1246 1250 1280 1335 1344 1400 1424 1500 1600 1680 1750 1780 1792 1869 1875 1920 2000 2100 2136 2225 2240 2400 2492 2500 2625 2670 2688 2800 2848 3000 3115 3125 3200 3360 3500 3560 3738 3750 3840 4000 4200 4272 4375 4450 4480 4800 4984 5000 5250 5340 5376 5600 5696 6000 6230 6250 6400 6675 6720 7000 7120 7476 7500 8000 8400 8544 8750 8900 8960 9345 9375 9600 9968 10000 10500 10680 11125 11200 11392 12000 12460 12500 13125 13350 13440 14000 14240 14952 15000 15575 15625 16000 16800 17088 17500 17800 18690 18750 19200 19531 19936 20000 21000 21360 21875 22250 22400 22784 24000 24920 25000 26250 26700 26880 28000 28480 29904 30000 31150 31250 32000 33375 33600 34176 35000 35600 37380 37500 39062 39872 40000 42000 42720 43750 44500 44800 46725 46875 48000 49840 50000 52500 53400 55625 56000 56960 58593 59808 60000 62300 62500 65625 66750 67200 68352 70000 71200 74760 75000 77875 78124 79744 80000 84000 85440 87500 89000 93450 93750 96000 97655 99680 100000 105000 106800 109375 111250 112000 113920 117186 119616 120000 124600 125000 131250 133500 134400 136717 140000 142400 149520 150000 155750 156248 159488 160000 166875 168000 170880 175000 178000 186900 187500 195310 199360 200000 210000 213600 218750 222500 224000 233625 234372 239232 240000 249200 250000 262500 267000 273434 278125 280000 284800 292965 299040 300000 311500 312496 328125 333750 336000 341760 350000 356000 373800 375000 389375 390620 398720 400000 410151 420000 427200 437500 445000 467250 468744 478464 480000 488275 498400 500000 525000 534000 546868 556250 560000 569600 585930 598080 600000 623000 624992 656250 667500 672000 683585 700000 712000 747600 750000 778750 781240 797440 800000 820302 834375 840000 854400 875000 890000 934500 937488 976550 996800 1000000 1050000 1068000 1093736 1112500 1120000 1168125 1171860 1196160 1200000 1246000 1249984 1312500 1335000 1367170 1390625 1400000 1424000 1464825 1495200 1500000 1557500 1562480 1640604 1668750 1680000 1708800 1738259 1750000 1780000 1869000 1874976 1946875 1953100 1993600 2000000 2050755 2100000 2136000 2187472 2225000 2336250 2343720 2392320 2400000 2441375 2492000 2499968 2625000 2670000 2734340 2781250 2800000 2848000 2929650 2990400 3000000 3115000 3124960 3281208 3337500 3360000 3417925 3476518 3500000 3560000 3738000 3749952 3893750 3906200 3987200 4000000 4101510 4171875 4200000 4272000 4374944 4450000 4672500 4687440 4882750 4984000 4999936 5214777 5250000 5340000 5468680 5562500 5600000 5840625 5859300 5980800 6000000 6230000 6249920 6562416 6675000 6835850 6953036 7000000 7120000 7324125 7476000 7499904 7787500 7812400 8203020 8343750 8400000 8544000 8691295 8749888 8900000 9345000 9374880 9734375 9765500 9968000 10253775 10429554 10500000 10680000 10937360 11125000 11681250 11718600 11961600 12000000 12167813 12206875 12460000 12499840 13124832 13350000 13671700 13906072 14000000 14240000 14648250 14952000 14999808 15575000 15624800 16406040 16687500 16800000 17089625 17382590 17499776 17800000 18690000 18749760 19468750 19531000 19936000 20507550 20859108 21000000 21360000 21874720 22250000 23362500 23437200 24335626 24413750 24920000 24999680 26073885 26249664 26700000 27343400 27812144 28000000 29203125 29296500 29904000 31150000 31249600 32812080 33375000 34179250 34765180 34999552 35600000 36503439 36620625 37380000 37499520 38937500 39062000 41015100 41718216 42000000 42720000 43456475 43749440 44500000 46725000 46874400 48671252 48827500 49840000 51268875 52147770 52499328 53400000 54686800 55624288 58406250 58593000 59808000 60839065 61034375 62300000 62499200 65624160 66750000 68358500 69530360 71200000 73006878 73241250 74760000 74999040 77875000 78124000 82030200 83436432 84000000 85448125 86912950 87498880 89000000 93450000 93748800 97342504 97655000 99680000 102537750 104295540 104998656 106800000 109373600 111248576 116812500 117186000 121678130 122068750 124600000 124998400 130369425 131248320 133500000 136717000 139060720 146013756 146482500 149520000 155750000 156248000 164060400 166872864 170896250 173825900 174997760 178000000 182517195 183103125 186900000 187497600 194685008 195310000 205075500 208591080 213600000 217282375 218747200 222497152 233625000 234372000 243356260 244137500 249200000 256344375 260738850 262496640 267000000 273434000 278121440 292027512 292965000 299040000 304195325 305171875 311500000 312496000 328120800 333745728 341792500 347651800 356000000 365034390 366206250 373800000 374995200 389370016 390620000 410151000 417182160 427240625 434564750 437494400 444994304 467250000 468744000 486712520 488275000 498400000 512688750 521477700 524993280 534000000 546868000 556242880 584055024 585930000 608390650 610343750 623000000 624992000 651847125 656241600 667491456 683585000 695303600 730068780 732412500 747600000 778740032 781240000 820302000 834364320 854481250 869129500 874988800 912585975 915515625 934500000 937488000 973425040 976550000 1025377500 1042955400 1068000000 1086411875 1093736000 1112485760 1168110048 1171860000 1216781300 1220687500 1246000000 1281721875 1303694250 1312483200 1334982912 1367170000 1390607200 1460137560 1464825000 1495200000 1520976625 1557480064 1562480000 1640604000 1668728640 1708962500 1738259000 1825171950 1831031250 1869000000 1874976000 1946850080 1953100000 2050755000 2085910800 2136203125 2172823750 2187472000 2224971520 2336220096 2343720000 2433562600 2441375000 2492000000 2563443750 2607388500 2624966400 2734340000 2781214400 2920275120 2929650000 3041953250 3114960128 3124960000 3259235625 3281208000 3337457280 3417925000 3476518000 3650343900 3662062500 3738000000 3893700160 3906200000 4101510000 4171821600 4272406250 4345647500 4374944000 4562929875 4672440192 4687440000 4867125200 4882750000 5126887500 5214777000 5432059375 5468680000 5562428800 5840550240 5859300000 6083906500 6408609375 6518471250 6562416000 6674914560 6835850000 6953036000 7300687800 7324125000 7476000000 7604883125 7787400320 7812400000 8203020000 8343643200 8544812500 8691295000 9125859750 9344880384 9374880000 9734250400 9765500000 10253775000 10429554000 10864118750 10937360000 11124857600 11681100480 11718600000 12167813000 12817218750 13036942500 13124832000 13671700000 13906072000 14601375600 14648250000 15209766250 15574800640 15624800000 16296178125 16406040000 16687286400 17089625000 17382590000 18251719500 19468500800 19531000000 20507550000 20859108000 21728237500 21874720000 22814649375 23362200960 23437200000 24335626000 25634437500 26073885000 27160296875 27343400000 27812144000 29202751200 29296500000 30419532500 32592356250 32812080000 33374572800 34179250000 34765180000 36503439000 38024415625 38937001600 39062000000 41015100000 41718216000 43456475000 45629298750 46724401920 46874400000 48671252000 51268875000 52147770000 54320593750 54686800000 55624288000 58405502400 58593000000 60839065000 65184712500 65624160000 68358500000 69530360000 73006878000 76048831250 77874003200 78124000000 81480890625 82030200000 83436432000 86912950000 91258597500 97342504000 102537750000 104295540000 108641187500 109373600000 114073246875 116811004800 117186000000 121678130000 130369425000 136717000000 139060720000 146013756000 152097662500 162961781250 164060400000 166872864000 173825900000 182517195000 190122078125 194685008000 205075500000 208591080000 217282375000 228146493750 233622009600 234372000000 243356260000 260738850000 273434000000 278121440000 292027512000 304195325000 325923562500 328120800000 347651800000 365034390000 380244156250 389370016000 410151000000 417182160000 434564750000 456292987500 486712520000 521477700000 546868000000 570366234375 584055024000 608390650000 651847125000 695303600000 730068780000 760488312500 820302000000 834364320000 869129500000 912585975000 973425040000 1042955400000 1140732468750 1168110048000 1216781300000 1303694250000 1390607200000 1460137560000 1520976625000 1640604000000 1738259000000 1825171950000 1946850080000 2085910800000 2281464937500 2433562600000 2607388500000 2920275120000 3041953250000 3476518000000 3650343900000 4171821600000 4562929875000 4867125200000 5214777000000 5840550240000 6083906500000 6953036000000 7300687800000 9125859750000 9734250400000 10429554000000 12167813000000 14601375600000 18251719500000 20859108000000 24335626000000 29202751200000 36503439000000 48671252000000 73006878000000 146013756000000
- Sum of all divisors σ(n): 561415738786560
- Sum of proper divisors (its aliquot sum) s(n): 415401982786560
- 146013756000000 is an abundant number, because the sum of its proper divisors (415401982786560) is greater than itself. Its abundance is 269388226786560
Bases of 146013756000000
- Binary: 1000010011001100011110100000111100000111000000002
- Hexadecimal: 0x84CC7A0F0700
- Base-36: 1FR9SKCX6O
Squares and roots of 146013756000000
- 146013756000000 squared (1460137560000002) is 21320016941227536000000000000
- 146013756000000 cubed (1460137560000003) is 3113015751572263781985216000000000000000000
-
The
square root of 146013756000000 is 12083615.1875173515 -
The
cube root of 146013756000000 is 52658.0279765475
Scales and comparisons
How big is 146013756000000?- 146,013,756,000,000 seconds is equal to 4,642,785 years, 41 weeks, 18 hours, 40 minutes.
-
To count from 1 to 146,013,756,000,000 would take you about eleven million, six hundred six thousand, nine hundred sixty-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 146013756000000 cubic inches would be around 4388.2 feet tall.
Recreational maths with 146013756000000
- 146013756000000 backwards is 000000657310641
- The number of decimal digits it has is: 15
- The sum of 146013756000000's digits is 33
- More coming soon!
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The information we have on file for 146013756000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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