213138343399712800

Names of 213138343399712800

• Cardinal: 213138343399712800 can be written as Two hundred thirteen quadrillion, one hundred thirty-eight trillion, three hundred forty-three billion, three hundred ninety-nine million, seven hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 2.131383433997128 × 10¹⁷

Factors of 213138343399712800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 486350351

Divisors of 213138343399712800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 41 50 62 80 82 100 124 155 160 164 200 205 248 310 328 400 410 431 496 620 656 775 800 820 862 992 1025 1240 1271 1312 1550 1640 1724 2050 2155 2480 2542 3100 3280 3448 4100 4310 4960 5084 6200 6355 6560 6896 8200 8620 10168 10775 12400 12710 13361 13792 16400 17240 17671 20336 21550 24800 25420 26722 31775 32800 34480 35342 40672 43100 50840 53444 63550 66805 68960 70684 86200 88355 101680 106888 127100 133610 141368 172400 176710 203360 213776 254200 267220 282736 334025 344800 353420 427552 441775 508400 534440 547801 565472 668050 706840 883550 1016800 1068880 1095602 1336100 1413680 1767100 2137760 2191204 2672200 2739005 2827360 3534200 4382408 5344400 5478010 7068400 8764816 10688800 10956020 13695025 14136800 17529632 21912040 27390050 43824080 54780100 87648160 109560200 219120400 438240800 486349841 972699682 1945399364 2431749205 3890798728 4863498410 7781597456 9726996820 12158746025 15076845071 15563194912 19453993640 19940343481 24317492050 30153690142 38907987280 39880686962 48634984100 60307380284 75384225355 77815974560 79761373924 97269968200 99701717405 120614760568 150768450710 159522747848 194539936400 199403434810 209616781471 241229521136 301536901420 319045495696 376921126775 389079872800 398806869620 419233562942 482459042272 498508587025 603073802840 618150647911 638090991392 753842253550 797613739240 838467125884 997017174050 1048083907355 1206147605680 1236301295822 1507684507100 1595227478480 1676934251768 1994034348100 2096167814710 2412295211360 2472602591644 3015369014200 3090753239555 3190454956960 3353868503536 3988068696200 4192335629420 4945205183288 5240419536775 6030738028400 6181506479110 6498120225601 6707737007072 7976137392400 8384671258840 8594288040311 9890410366576 10480839073550 12061476056800 12363012958220 12996240451202 15453766197775 15952274784800 16769342517680 17188576080622 19780820733152 20961678147100 24726025916440 25992480902404 30907532395550 32490601128005 33538685035360 34377152161244 41923356294200 42971440201555 49452051832880 51984961804808 61815064791100 64981202256010 68754304322488 83846712588400 85942880403110 98904103665760 103969923609616 123630129582200 129962404512020 137508608644976 162453005640025 167693425176800 171885760806220 207939847219232 214857201007775 247260259164400 259924809024040 266422929249641 275017217289952 324906011280050 343771521612440 429714402015550 494520518328800 519849618048080 532845858499282 649812022560100 687543043224880 859428804031100 1039699236096160 1065691716998564 1299624045120200 1332114646248205 1375086086449760 1718857608062200 2131383433997128 2599248090240400 2664229292496410 3437715216124400 4262766867994256 5198496180480800 5328458584992820 6660573231241025 6875430432248800 8525533735988512 10656917169985640 13321146462482050 21313834339971280 26642292924964100 42627668679942560 53284585849928200 106569171699856400 213138343399712800
• Sum of all divisors σ(n): 551485423501867008
• Sum of proper divisors (its aliquot sum) s(n): 338347080102154208
• 213138343399712800 is an abundant number, because the sum of its proper divisors (338347080102154208) is greater than itself. Its abundance is 125208736702441408

Bases of 213138343399712800

• Binary: 1011110101001110000011000110101110010110101110100000100000₂
• Hexadecimal: 0x2F53831AE5AE820
• Base-36: 1MAN8J8F8NJ4

Squares and roots of 213138343399712800

• 213138343399712800 squared (213138343399712800²) is 45427953427173896895551122483840000
• 213138343399712800 cubed (213138343399712800³) is 9682438737507150019815884733027748588278641152000000
• The square root of 213138343399712800 is 461669084.3014212489
• The cube root of 213138343399712800 is 597338.5297117259

Scales and comparisons

• 213,138,343,399,712,800 seconds is equal to 6,777,140,039 years, 48 weeks, 1 day, 17 hours, 6 minutes, 40 seconds.
• To count from 1 to 213,138,343,399,712,800 would take you about twenty billion, three hundred thirty-one million, four hundred twenty thousand, one hundred nineteen 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 213138343399712800 cubic inches would be around 49778.2 feet tall.

Recreational maths with 213138343399712800

• 213138343399712800 backwards is 008217993343831312
• The number of decimal digits it has is: 18
• The sum of 213138343399712800's digits is 67
• More coming soon!