38146958082189312

Names of 38146958082189312

• Cardinal: 38146958082189312 can be written as Thirty-eight quadrillion, one hundred forty-six trillion, nine hundred fifty-eight billion, eighty-two million, one hundred eighty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 3.8146958082189312 × 10¹⁶

Factors of 38146958082189312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1873

Divisors of 38146958082189312

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 1741 2032 2048 3048 3072 3482 4064 5223 6096 6144 6964 8128 10446 12192 13928 16129 16256 20892 24384 27856 32258 32512 41784 48387 48768 55712 64516 65024 83568 96774 97536 111424 129032 130048 167136 193548 195072 221107 222848 258064 260096 334272 387096 390144 442214 445696 516128 663321 668544 774192 780288 884428 891392 1032256 1326642 1337088 1548384 1768856 1782784 2048383 2064512 2653284 2674176 3031081 3096768 3537712 3565568 4096766 4129024 5306568 5348352 6062162 6145149 6193536 7075424 8193532 8258048 9093243 10613136 10696704 12124324 12290298 12387072 14150848 16387064 16516096 18186486 21226272 24248648 24580596 24774144 28080589 28301696 32774128 33032192 36372972 42452544 48497296 49161192 49548288 56161178 56603392 65548256 72745944 84241767 84905088 96994592 98322384 99096576 112322356 113206784 131096512 145491888 168483534 169810176 193989184 196644768 224644712 226413568 262193024 290983776 336967068 339620352 384947287 387978368 393289536 449289424 452827136 524386048 581967552 673934136 679240704 769894574 775956736 786579072 898578848 1048772096 1154841861 1163935104 1347868272 1358481408 1539789148 1551913472 1573158144 1797157696 2097544192 2309683722 2327870208 2695736544 3079578296 3103826944 3146316288 3566234803 3594315392 4195088384 4619367444 4655740416 5391473088 6159156592 6207653888 6292632576 7132469606 7188630784 9238734888 9311480832 10698704409 10782946176 12318313184 12585265152 14264939212 14377261568 18477469776 18622961664 21397408818 21565892352 24636626368 28529878424 28754523136 36954939552 42794817636 43131784704 48888305449 49273252736 57059756848 57509046272 73909879104 85589635272 86263569408 97776610898 98546505472 114119513696 146664916347 147819758208 171179270544 172527138816 195553221796 197093010944 228239027392 293329832694 295639516416 342358541088 391106443592 394186021888 456478054784 586659665388 591279032832 684717082176 782212887184 788372043776 912956109568 1173319330776 1182558065664 1369434164352 1564425774368 1825912219136 2346638661552 2365116131328 2738868328704 3128851548736 3651824438272 4693277323104 5477736657408 6208814792023 6257703097472 7303648876544 9386554646208 10955473314816 12417629584046 12515406194944 18626444376069 18773109292416 21910946629632 24835259168092 25030812389888 37252888752138 37546218584832 49670518336184 50061624779776 74505777504276 75092437169664 99341036672368 100123249559552 149011555008552 150184874339328 198682073344736 298023110017104 300369748678656 397364146689472 596046220034208 794728293378944 1192092440068416 1589456586757888 2384184880136832 3178913173515776 4768369760273664 6357826347031552 9536739520547328 12715652694063104 19073479041094656 38146958082189312
• Sum of all divisors σ(n): 102566444177433600
• Sum of proper divisors (its aliquot sum) s(n): 64419486095244288
• 38146958082189312 is an abundant number, because the sum of its proper divisors (64419486095244288) is greater than itself. Its abundance is 26272528013054976

Bases of 38146958082189312

• Binary: 10000111100001100111010011001101110000000010100000000000₂
• Hexadecimal: 0x878674CDC02800
• Base-36: AFLYUM4V56O

Squares and roots of 38146958082189312

• 38146958082189312 squared (38146958082189312²) is 1455190410924308472580875007033344
• 38146958082189312 cubed (38146958082189312³) is 55511087607133435185452987933743659353617704419328
• The square root of 38146958082189312 is 195312462.6904010751
• The cube root of 38146958082189312 is 336630.3774475635

Scales and comparisons

• 38,146,958,082,189,312 seconds is equal to 1,212,955,270 years, 37 weeks, 4 days, 20 hours, 35 minutes, 12 seconds.
• To count from 1 to 38,146,958,082,189,312 would take you about three billion, six hundred thirty-eight million, eight hundred sixty-five thousand, eight hundred twelve 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 38146958082189312 cubic inches would be around 28052.5 feet tall.

Recreational maths with 38146958082189312

• 38146958082189312 backwards is 21398128085964183
• The number of decimal digits it has is: 17
• The sum of 38146958082189312's digits is 78
• More coming soon!