4134088448000

Names of 4134088448000

• Cardinal: 4134088448000 can be written as Four trillion, one hundred thirty-four billion, eighty-eight million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 4.134088448 × 10¹²

Factors of 4134088448000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 126

Divisors of 4134088448000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 49 50 56 64 70 80 89 92 98 100 112 115 125 128 140 160 161 175 178 184 196 200 224 230 245 250 256 280 320 322 343 350 356 368 392 400 445 448 460 490 500 512 529 560 575 623 640 644 686 700 712 736 784 800 805 875 890 896 920 980 1000 1024 1058 1120 1127 1150 1225 1246 1280 1288 1372 1400 1424 1472 1568 1600 1610 1715 1750 1780 1792 1840 1960 2000 2047 2048 2116 2225 2240 2254 2300 2450 2492 2560 2576 2645 2744 2800 2848 2875 2944 3115 3136 3200 3220 3430 3500 3560 3584 3680 3703 3920 4000 4025 4094 4232 4361 4450 4480 4508 4600 4900 4984 5120 5152 5290 5488 5600 5635 5696 5750 5888 6125 6230 6272 6400 6440 6860 7000 7120 7168 7360 7406 7840 7889 8000 8050 8188 8464 8575 8722 8900 8960 9016 9200 9800 9968 10235 10240 10304 10580 10976 11125 11200 11270 11392 11500 11776 12250 12460 12544 12800 12880 13225 13720 14000 14240 14329 14336 14720 14812 15575 15680 15778 16000 16100 16376 16928 17150 17444 17800 17920 18032 18400 18515 19600 19936 20125 20470 20608 21160 21805 21952 22250 22400 22540 22784 23000 23552 24500 24920 25088 25600 25760 25921 26450 27440 28000 28175 28480 28658 29440 29624 30527 31150 31360 31556 32000 32200 32752 33856 34300 34888 35600 35840 36064 36800 37030 39200 39445 39872 40250 40940 41216 42320 42875 43610 43904 44500 44800 45080 45568 46000 47081 47104 49000 49840 50176 51175 51200 51520 51842 52900 54880 56000 56350 56960 57316 58880 59248 61054 62300 62720 63112 64000 64400 65504 66125 67712 68600 69776 71200 71645 71680 72128 73600 74060 77875 78400 78890 79744 80500 81880 82432 84640 85750 87220 87808 89000 89600 90160 91136 92000 92575 94162 98000 99680 100303 100352 102350 103040 103684 105800 109025 109760 112000 112700 113920 114632 117760 118496 122108 124600 125440 126224 128000 128800 129605 131008 132250 135424 137200 139552 140875 142400 143290 144256 147200 148120 152635 155750 156800 157780 159488 161000 163760 164864 169280 171500 174440 175616 178000 179200 180320 181447 182272 184000 185150 188324 196000 197225 199360 200606 204700 206080 207368 211600 218050 219520 224000 225400 227840 229264 235405 235520 236992 244216 249200 250880 252448 255875 256000 257600 259210 262016 264500 270848 274400 279104 281750 284800 286580 288512 294400 296240 305270 311500 313600 315560 318976 322000 327520 329567 329728 338560 343000 348880 351232 356000 358225 358400 360640 362894 368000 370300 376648 392000 394450 398720 401212 409400 412160 414736 423200 436100 439040 448000 450800 455680 458528 462875 470810 473984 488432 498400 501515 501760 504896 511750 515200 518420 524032 529000 541696 545125 548800 558208 563500 569600 573160 577024 588800 592480 610540 623000 627200 631120 637952 644000 648025 655040 659134 677120 686000 697760 702121 702464 712000 716450 721280 725788 736000 740600 753296 763175 784000 788900 797440 802424 818800 824320 829472 846400 872200 878080 896000 901600 907235 911360 917056 925750 941620 947968 976864 986125 996800 1003030 1009792 1023500 1030400 1036840 1048064 1058000 1083392 1090250 1097600 1116416 1127000 1139200 1146320 1154048 1177025 1177600 1184960 1221080 1246000 1254400 1262240 1275904 1288000 1296050 1310080 1318268 1354240 1372000 1395520 1404242 1424000 1432900 1442560 1451576 1472000 1481200 1506592 1526350 1568000 1577800 1594880 1604848 1637600 1647835 1648640 1658944 1692800 1744400 1756160 1791125 1792000 1803200 1814470 1834112 1851500 1883240 1895936 1953728 1972250 1993600 2006060 2019584 2047000 2060800 2073680 2096128 2116000 2180500 2195200 2232832 2254000 2278400 2292640 2306969 2308096 2354050 2369920 2442160 2492000 2507575 2508800 2524480 2576000 2592100 2620160 2636536 2708480 2744000 2791040 2808484 2848000 2865800 2885120 2903152 2944000 2962400 3013184 3052700 3136000 3155600 3189760 3209696 3240125 3275200 3295670 3317888 3385600 3488800 3510605 3512320 3582250 3606400 3628940 3668224 3703000 3766480 3791872 3815875 3907456 3944500 3987200 4012120 4039168 4094000 4121600 4147360 4192256 4232000 4361000 4390400 4465664 4508000 4536175 4556800 4585280 4613938 4708100 4739840 4884320 4984000 5015150 5048960 5152000 5184200 5240320 5273072 5416960 5488000 5582080 5616968 5696000 5731600 5770240 5806304 5885125 5888000 5924800 6026368 6105400 6272000 6311200 6379520 6419392 6480250 6550400 6591340 6635776 6771200 6977600 7021210 7164500 7212800 7257880 7336448 7406000 7532960 7583744 7631750 7814912 7889000 7974400 8024240 8078336 8188000 8239175 8243200 8294720 8464000 8722000 8780800 8931328 9016000 9072350 9170560 9227876 9416200 9479680 9768640 9968000 10030300 10097920 10304000 10368400 10480640 10546144 10976000 11164160 11233936 11392000 11463200 11534845 11540480 11612608 11770250 11849600 12052736 12210800 12537875 12544000 12622400 12838784 12960500 13100800 13182680 13271552 13542400 13955200 14042420 14329000 14425600 14515760 14672896 14812000 15065920 15263500 15629824 15778000 15948800 16048480 16148783 16156672 16376000 16478350 16589440 16928000 17444000 17553025 17561600 18032000 18144700 18341120 18455752 18832400 18959360 19537280 19936000 20060600 20195840 20608000 20736800 20961280 21092288 21952000 22328320 22467872 22680875 22784000 22926400 23069690 23225216 23540500 23699200 24105472 24421600 25075750 25244800 25677568 25921000 26201600 26365360 26543104 27084800 27910400 28084840 28658000 28851200 29031520 29345792 29624000 30131840 30527000 31259648 31556000 31897600 32096960 32297566 32752000 32956700 33178880 33856000 34888000 35106050 36064000 36289400 36682240 36911504 37664800 37918720 39074560 39872000 40121200 40391680 41195875 41216000 41473600 42184576 43904000 44656640 44935744 45361750 45852800 46139380 46450432 47081000 47398400 48210944 48843200 50151500 50489600 51355136 51842000 52403200 52730720 53086208 55820800 56169680 57316000 57674225 57702400 58063040 59248000 60263680 61054000 62519296 63112000 64193920 64595132 65504000 65913400 66357760 67712000 69776000 70212100 72128000 72578800 73364480 73823008 75329600 78149120 79744000 80242400 80743915 80783360 82391750 82947200 84369152 87765125 87808000 89871488 90723500 91705600 92278760 92900864 94162000 94796800 96421888 97686400 100303000 100979200 102710272 103684000 104806400 105461440 111641600 112339360 114632000 115348450 116126080 118496000 120527360 122108000 126224000 128387840 129190264 131008000 131826800 132715520 135424000 139552000 140424200 144256000 145157600 146728960 147646016 150659200 156298240 159488000 160484800 161487830 164783500 165894400 168738304 175530250 179742976 181447000 183411200 184557520 185801728 188324000 189593600 195372800 200606000 201958400 205420544 207368000 210922880 223283200 224678720 229264000 230696900 232252160 236992000 241054720 244216000 252448000 256775680 258380528 262016000 263653600 265431040 279104000 280848400 288371125 288512000 290315200 295292032 301318400 312596480 320969600 322975660 329567000 331788800 337476608 351060500 359485952 362894000 366822400 369115040 371603456 376648000 390745600 401212000 403719575 403916800 414736000 421845760 449357440 458528000 461393800 464504320 473984000 482109440 488432000 504896000 513551360 516761056 524032000 527307200 558208000 561696800 576742250 580630400 590584064 602636800 641939200 645951320 659134000 663577600 674953216 702121000 718971904 725788000 733644800 738230080 753296000 781491200 802424000 807439150 829472000 843691520 898714880 917056000 922787600 929008640 947968000 976864000 1009792000 1027102720 1033522112 1054614400 1116416000 1123393600 1153484500 1161260800 1181168128 1205273600 1283878400 1291902640 1318268000 1327155200 1404242000 1437943808 1451576000 1476460160 1506592000 1562982400 1604848000 1614878300 1658944000 1687383040 1797429760 1834112000 1845575200 1858017280 1953728000 2018597875 2019584000 2067044224 2109228800 2246787200 2306969000 2322521600 2362336256 2410547200 2567756800 2583805280 2636536000 2808484000 2903152000 2952920320 3013184000 3209696000 3229756600 3317888000 3374766080 3594859520 3668224000 3691150400 3907456000 4037195750 4134088448 4218457600 4493574400 4613938000 4645043200 4724672512 5135513600 5167610560 5273072000 5616968000 5806304000 5905840640 6026368000 6419392000 6459513200 6635776000 7189719040 7382300800 7814912000 8074391500 8268176896 8436915200 8987148800 9227876000 9290086400 10335221120 10546144000 11233936000 11612608000 11811681280 12052736000 12838784000 12919026400 14764601600 16148783000 16536353792 16873830400 17974297600 18455752000 20670442240 21092288000 22467872000 23225216000 23623362560 25677568000 25838052800 29529203200 32297566000 33072707584 35948595200 36911504000 41340884480 42184576000 44935744000 46450432000 51676105600 59058406400 64595132000 73823008000 82681768960 84369152000 89871488000 103352211200 118116812800 129190264000 147646016000 165363537920 179742976000 206704422400 258380528000 295292032000 413408844800 516761056000 590584064000 826817689600 1033522112000 2067044224000 4134088448000
• Sum of all divisors σ(n): 12717628560000
• Sum of proper divisors (its aliquot sum) s(n): 8583540112000
• 4134088448000 is an abundant number, because the sum of its proper divisors (8583540112000) is greater than itself. Its abundance is 4449451664000

Bases of 4134088448000

• Binary: 111100001010001010110111111001100000000000₂
• Hexadecimal: 0x3C28ADF9800
• Base-36: 1GR69ITQ8

Squares and roots of 4134088448000

• 4134088448000 squared (4134088448000²) is 17090687295887048704000000
• 4134088448000 cubed (4134088448000³) is 70654412918307005960019771392000000000
• The square root of 4134088448000 is 2033245.7913395517
• The cube root of 4134088448000 is 16049.4413977293

Scales and comparisons

• 4,134,088,448,000 seconds is equal to 131,451 years, 11 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
• To count from 1 to 4,134,088,448,000 would take you about three hundred twenty-eight thousand, six hundred twenty-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 4134088448000 cubic inches would be around 1337.5 feet tall.

Recreational maths with 4134088448000

• 4134088448000 backwards is 0008448804314
• The number of decimal digits it has is: 13
• The sum of 4134088448000's digits is 44
• More coming soon!