12825122816000

Names of 12825122816000

• Cardinal: 12825122816000 can be written as Twelve trillion, eight hundred twenty-five billion, one hundred twenty-two million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.2825122816 × 10¹³

Factors of 12825122816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 120

Divisors of 12825122816000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 83 88 95 100 110 125 128 152 160 166 176 190 200 209 220 250 256 275 304 320 332 352 361 380 400 415 418 440 475 500 512 550 608 640 664 704 722 760 800 830 836 880 913 950 1000 1024 1045 1100 1216 1280 1328 1375 1408 1444 1520 1577 1600 1660 1672 1760 1805 1826 1900 2000 2048 2075 2090 2200 2375 2432 2560 2656 2750 2816 2888 3040 3154 3200 3320 3344 3520 3610 3652 3800 3971 4000 4096 4150 4180 4400 4565 4750 4864 5120 5225 5312 5500 5632 5776 6080 6308 6400 6640 6688 6859 7040 7220 7304 7600 7885 7942 8000 8192 8300 8360 8800 9025 9130 9500 9728 10240 10375 10450 10624 11000 11264 11552 12160 12616 12800 13280 13376 13718 14080 14440 14608 15200 15770 15884 16000 16384 16600 16720 17347 17600 18050 18260 19000 19456 19855 20480 20750 20900 21248 22000 22528 22825 23104 24320 25232 25600 26125 26560 26752 27436 28160 28880 29216 29963 30400 31540 31768 32000 33200 33440 34295 34694 35200 36100 36520 38000 38912 39425 39710 40960 41500 41800 42496 44000 45056 45125 45650 46208 48640 50464 51200 52250 53120 53504 54872 56320 57760 58432 59926 60800 63080 63536 64000 66400 66880 68590 69388 70400 72200 73040 75449 76000 77824 78850 79420 81920 83000 83600 84992 86735 88000 90112 90250 91300 92416 97280 99275 100928 102400 104500 106240 107008 109744 112640 114125 115520 116864 119852 121600 126160 127072 128000 132800 133760 137180 138776 140800 144400 146080 149815 150898 152000 155648 157700 158840 166000 167200 169984 171475 173470 176000 180224 180500 182600 184832 194560 197125 198550 201856 204800 209000 212480 214016 219488 225280 228250 231040 233728 239704 243200 252320 254144 256000 265600 267520 274360 277552 281600 288800 292160 299630 301796 304000 311296 315400 317680 329593 332000 334400 339968 342950 346940 352000 361000 365200 369664 377245 389120 394250 397100 403712 409600 418000 424960 428032 433675 438976 450560 456500 462080 467456 479408 486400 496375 504640 508288 512000 531200 535040 548720 555104 563200 569297 577600 584320 599260 603592 608000 630800 635360 659186 664000 668800 679936 685900 693880 704000 722000 730400 739328 749075 754490 778240 788500 794200 807424 836000 849920 856064 857375 867350 877952 901120 913000 924160 934912 958816 972800 992750 1009280 1016576 1024000 1062400 1070080 1097440 1110208 1126400 1138594 1155200 1168640 1198520 1207184 1216000 1261600 1270720 1318372 1328000 1337600 1359872 1371800 1387760 1408000 1444000 1460800 1478656 1498150 1508980 1556480 1577000 1588400 1614848 1647965 1672000 1699840 1712128 1714750 1734700 1755904 1826000 1848320 1869824 1886225 1917632 1945600 1985500 2018560 2033152 2048000 2124800 2140160 2168375 2194880 2220416 2252800 2277188 2310400 2337280 2397040 2414368 2432000 2523200 2541440 2636744 2656000 2675200 2743600 2775520 2816000 2846485 2888000 2921600 2957312 2996300 3017960 3154000 3176800 3229696 3295930 3344000 3399680 3424256 3429500 3469400 3511808 3652000 3696640 3739648 3745375 3772450 3835264 3891200 3971000 4037120 4066304 4249600 4280320 4336750 4389760 4440832 4505600 4554376 4620800 4674560 4794080 4828736 4864000 5046400 5082880 5273488 5312000 5350400 5487200 5551040 5632000 5692970 5776000 5843200 5914624 5992600 6035920 6262267 6308000 6353600 6459392 6591860 6688000 6799360 6859000 6938800 7023616 7304000 7393280 7479296 7490750 7544900 7670528 7782400 7942000 8074240 8132608 8239825 8499200 8560640 8673500 8779520 8881664 9108752 9241600 9349120 9431125 9588160 9657472 9728000 10092800 10165760 10546976 10624000 10700800 10974400 11102080 11264000 11385940 11552000 11686400 11985200 12071840 12524534 12616000 12707200 12918784 13183720 13376000 13718000 13877600 14047232 14232425 14608000 14786560 14958592 14981500 15089800 15341056 15884000 16148480 16265216 16479650 16998400 17121280 17347000 17559040 17763328 18217504 18483200 18698240 18862250 19176320 19314944 19456000 20185600 20331520 21093952 21248000 21401600 21948800 22204160 22528000 22771880 23104000 23372800 23970400 24143680 25049068 25232000 25414400 25837568 26367440 26752000 27436000 27755200 28094464 28464850 29216000 29573120 29963000 30179600 30682112 31311335 31768000 32296960 32530432 32959300 33996800 34694000 35118080 35526656 36435008 36966400 37396480 37724500 38352640 38629888 38912000 40371200 40663040 41199125 42187904 42496000 42803200 43897600 44408320 45543760 46208000 46745600 47940800 48287360 50098136 50464000 50828800 52734880 53504000 54872000 55510400 56188928 56929700 58432000 59926000 60359200 61364224 62622670 63536000 64593920 65060864 65918600 69388000 70236160 71053312 71162125 72870016 73932800 74792960 75449000 76705280 77259776 80742400 81326080 82398250 84375808 84992000 85606400 87795200 88816640 91087520 92416000 93491200 95881600 96574720 100196272 100928000 101657600 105469760 107008000 109744000 111020800 112377856 113859400 116864000 119852000 120718400 122728448 125245340 127072000 129187840 131837200 138776000 140472320 142106624 142324250 145740032 147865600 150898000 153410560 154519552 156556675 161484800 162652160 164796500 168751616 169984000 175590400 177633280 182175040 184832000 186982400 191763200 193149440 200392544 201856000 203315200 210939520 214016000 219488000 222041600 227718800 233728000 239704000 241436800 245456896 250490680 254144000 263674400 277552000 280944640 284213248 284648500 291480064 301796000 306821120 309039104 313113350 322969600 325304320 329593000 337503232 351180800 355266560 364350080 369664000 373964800 383526400 386298880 400785088 403712000 406630400 421879040 428032000 438976000 444083200 455437600 467456000 479408000 482873600 490913792 500981360 508288000 527348800 555104000 561889280 569297000 582960128 603592000 613642240 618078208 626226700 645939200 659186000 675006464 702361600 710533120 728700160 739328000 767052800 772597760 782783375 801570176 807424000 813260800 843758080 877952000 888166400 910875200 934912000 958816000 965747200 1001962720 1016576000 1054697600 1110208000 1138594000 1165920256 1207184000 1227284480 1236156416 1252453400 1318372000 1350012928 1404723200 1421066240 1457400320 1534105600 1545195520 1565566750 1603140352 1614848000 1626521600 1687516160 1755904000 1776332800 1821750400 1869824000 1917632000 1931494400 2003925440 2033152000 2109395200 2220416000 2277188000 2331840512 2414368000 2454568960 2504906800 2636744000 2700025856 2809446400 2914800640 3068211200 3090391040 3131133500 3206280704 3229696000 3375032320 3511808000 3552665600 3643500800 3835264000 3862988800 4007850880 4066304000 4218790400 4440832000 4554376000 4663681024 4828736000 5009813600 5273488000 5400051712 5829601280 6136422400 6180782080 6262267000 6412561408 6750064640 7023616000 7105331200 7287001600 7670528000 7725977600 8015701760 8132608000 8437580800 8881664000 9108752000 9327362048 9657472000 10019627200 10546976000 11659202560 12272844800 12524534000 12825122816 13500129280 14047232000 14574003200 15341056000 15451955200 16031403520 16875161600 17763328000 18217504000 19314944000 20039254400 21093952000 23318405120 25049068000 25650245632 27000258560 29148006400 30682112000 30903910400 32062807040 33750323200 35526656000 36435008000 38629888000 40078508800 42187904000 46636810240 50098136000 51300491264 58296012800 61364224000 64125614080 67500646400 72870016000 77259776000 80157017600 84375808000 100196272000 102600982528 116592025600 128251228160 135001292800 145740032000 154519552000 160314035200 168751616000 200392544000 233184051200 256502456320 291480064000 320628070400 337503232000 400785088000 513004912640 582960128000 641256140800 675006464000 801570176000 1165920256000 1282512281600 1603140352000 2565024563200 3206280704000 6412561408000 12825122816000
• Sum of all divisors σ(n): 37304427363840
• Sum of proper divisors (its aliquot sum) s(n): 24479304547840
• 12825122816000 is an abundant number, because the sum of its proper divisors (24479304547840) is greater than itself. Its abundance is 11654181731840

Bases of 12825122816000

• Binary: 10111010101000010100111000111100000000000000₂
• Hexadecimal: 0xBAA14E3C000
• Base-36: 4JNS2ZMRK

Squares and roots of 12825122816000

• 12825122816000 squared (12825122816000²) is 164483775245483769856000000
• 12825122816000 cubed (12825122816000³) is 2109524618762669897737878634496000000000
• The square root of 12825122816000 is 3581218.0631734785
• The cube root of 12825122816000 is 23407.4359789887

Scales and comparisons

• 12,825,122,816,000 seconds is equal to 407,799 years, 12 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 12,825,122,816,000 would take you about one million, nineteen thousand, four hundred ninety-eight 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 12825122816000 cubic inches would be around 1950.6 feet tall.

Recreational maths with 12825122816000

• 12825122816000 backwards is 00061822152821
• 12825122816000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12825122816000's digits is 38
• More coming soon!