34378468488000

Names of 34378468488000

• Cardinal: 34378468488000 can be written as Thirty-four trillion, three hundred seventy-eight billion, four hundred sixty-eight million, four hundred eighty-eight thousand.

Scientific notation

• Scientific notation: 3.4378468488 × 10¹³

Factors of 34378468488000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5247049

Divisors of 34378468488000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 125 126 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 250 252 260 273 280 288 300 312 315 320 325 336 350 360 364 375 390 400 416 420 448 450 455 468 480 500 504 520 525 546 560 576 585 600 624 630 650 672 700 720 728 750 780 800 819 832 840 875 900 910 936 960 975 1000 1008 1040 1050 1092 1120 1125 1170 1200 1248 1260 1300 1344 1365 1400 1440 1456 1500 1560 1575 1600 1625 1638 1680 1750 1800 1820 1872 1950 2000 2016 2080 2100 2184 2240 2250 2275 2340 2400 2496 2520 2600 2625 2730 2800 2880 2912 2925 3000 3120 3150 3250 3276 3360 3500 3600 3640 3744 3900 4000 4032 4095 4160 4200 4368 4500 4550 4680 4800 4875 5040 5200 5250 5460 5600 5824 5850 6000 6240 6300 6500 6552 6720 6825 7000 7200 7280 7488 7800 7875 8000 8190 8400 8736 9000 9100 9360 9750 10080 10400 10500 10920 11200 11375 11700 12000 12480 12600 13000 13104 13650 14000 14400 14560 14625 15600 15750 16380 16800 17472 18000 18200 18720 19500 20160 20475 20800 21000 21840 22750 23400 24000 25200 26000 26208 27300 28000 29120 29250 31200 31500 32760 33600 34125 36000 36400 37440 39000 40950 42000 43680 45500 46800 50400 52000 52416 54600 56000 58500 62400 63000 65520 68250 72000 72800 78000 81900 84000 87360 91000 93600 100800 102375 104000 109200 117000 126000 131040 136500 145600 156000 163800 168000 182000 187200 204750 218400 234000 252000 262080 273000 312000 327600 364000 409500 436800 468000 504000 546000 655200 728000 819000 936000 1092000 1310400 1638000 2184000 3276000 5247019 6552000 10494038 15741057 20988076 26235095 31482114 36729133 41976152 47223171 52470190 62964228 68211247 73458266 78705285 83952304 94446342 104940380 110187399 125928456 131175475 136422494 146916532 157410570 167904608 183645665 188892684 204633741 209880760 220374798 236115855 251856912 262350950 272844988 293833064 314821140 330562197 335809216 341056235 367291330 377785368 393526425 409267482 419761520 440749596 472231710 477478729 503713824 524701900 545689976 550936995 587666128 613901223 629642280 655877375 661124394 682112470 734582660 755570736 787052850 818534964 839523040 881499192 918228325 944463420 954957458 1007427648 1023168705 1049403800 1091379952 1101873990 1175332256 1180579275 1227802446 1259284560 1311754750 1322248788 1364224940 1432436187 1469165320 1511141472 1574105700 1637069928 1652810985 1679046080 1705281175 1762998384 1836456650 1888926840 1909914916 1967632125 2046337410 2098807600 2182759904 2203747980 2350664512 2361158550 2387393645 2455604892 2518569120 2623509500 2644497576 2728449880 2754684975 2864872374 2938330640 3022282944 3069506115 3148211400 3274139856 3305621970 3410562350 3525996768 3672913300 3777853680 3819829832 3935264250 4092674820 4197615200 4297308561 4365519808 4407495960 4591141625 4722317100 4774787290 4911209784 5037138240 5115843525 5247019000 5288995152 5456899760 5509369950 5729744748 5876661280 5902896375 6139012230 6296422800 6548279712 6611243940 6821124700 7051993536 7162180935 7345826600 7555707360 7639659664 7870528500 8185349640 8264054925 8395230400 8526405875 8594617122 8814991920 9182283250 9444634200 9549574580 9822419568 10231687050 10494038000 10577990304 10913799520 11018739900 11459489496 11753322560 11805792750 11936968225 12278024460 12592845600 13096559424 13222487880 13642249400 13773424875 14324361870 14691653200 15111414720 15279319328 15347530575 15741057000 16370699280 16528109850 17052811750 17189234244 17629983840 18364566500 18889268400 19099149160 19644839136 20463374100 20988076000 21155980608 21486542805 21827599040 22037479800 22918978992 23611585500 23873936450 24556048920 25185691200 25579217625 26444975760 27284498800 27546849750 28648723740 29383306400 30558638656 30695061150 31482114000 32741398560 33056219700 34105623500 34378468488 35259967680 35810904675 36729133000 37778536800 38198298320 39289678272 40926748200 41320274625 41976152000 42973085610 44074959600 45837957984 47223171000 47747872900 49112097840 51158435250 52889951520 54568997600 55093699500 57297447480 58766612800 59684841125 61390122300 62964228000 65482797120 66112439400 68211247000 68756936976 71621809350 73458266000 75557073600 76396596640 76737652875 81853496400 82640549250 85946171220 88149919200 91675915968 94446342000 95495745800 98224195680 102316870500 105779903040 107432714025 109137995200 110187399000 114594894960 119369682250 122780244600 125928456000 132224878800 136422494000 137513873952 143243618700 146916532000 152793193280 153475305750 163706992800 165281098500 171892342440 176299838400 179054523375 188892684000 190991491600 196448391360 204633741000 214865428050 220374798000 229189789920 238739364500 245560489200 264449757600 272844988000 275027747904 286487237400 293833064000 306950611500 327413985600 330562197000 343784684880 358109046750 377785368000 381982983200 409267482000 429730856100 440749596000 458379579840 477478729000 491120978400 528899515200 537163570125 545689976000 572974474800 613901223000 661124394000 687569369760 716218093500 763965966400 818534964000 859461712200 881499192000 954957458000 982241956800 1074327140250 1145948949600 1227802446000 1322248788000 1375138739520 1432436187000 1637069928000 1718923424400 1909914916000 2148654280500 2291897899200 2455604892000 2644497576000 2864872374000 3437846848800 3819829832000 4297308561000 4911209784000 5729744748000 6875693697600 8594617122000 11459489496000 17189234244000 34378468488000
• Sum of all divisors σ(n): 151356966109440
• Sum of proper divisors (its aliquot sum) s(n): 116978497621440
• 34378468488000 is an abundant number, because the sum of its proper divisors (116978497621440) is greater than itself. Its abundance is 82600029133440

Bases of 34378468488000

• Binary: 111110100010001011100011001101111001101000000₂
• Hexadecimal: 0x1F445C66F340
• Base-36: C6P90IFK0

Squares and roots of 34378468488000

• 34378468488000 squared (34378468488000²) is 1181879095580409006144000000
• 34378468488000 cubed (34378468488000³) is 40631193244037031087872902390272000000000
• The square root of 34378468488000 is 5863315.4859686683
• The cube root of 34378468488000 is 32515.8797310689

Scales and comparisons

• 34,378,468,488,000 seconds is equal to 1,093,128 years, 49 weeks, 5 days, 20 hours.
• To count from 1 to 34,378,468,488,000 would take you about two million, seven hundred thirty-two thousand, eight hundred twenty-two 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 34378468488000 cubic inches would be around 2709.7 feet tall.

Recreational maths with 34378468488000

• 34378468488000 backwards is 00088486487343
• 34378468488000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34378468488000's digits is 63
• More coming soon!