513245937286745987904

Names of 513245937286745987904

• Cardinal: 513245937286745987904 can be written as Five hundred thirteen quintillion, two hundred forty-five quadrillion, nine hundred thirty-seven trillion, two hundred eighty-six billion, seven hundred forty-five million, nine hundred eighty-seven thousand, nine hundred four.

Scientific notation

• Scientific notation: 5.13245937286745987904 × 10²⁰

Factors of 513245937286745987904

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 29037

Divisors of 513245937286745987904

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 529 552 576 621 736 828 864 1058 1104 1242 1472 1587 1656 1728 2116 2208 2484 3174 3312 4232 4416 4761 4968 6348 6624 8464 9522 9936 12167 12696 13248 14283 16928 19044 19872 24334 25392 28566 29009 33856 36501 38088 39744 48668 50784 57132 58018 73002 76176 87027 97336 101568 109503 114264 116036 146004 152352 174054 194672 219006 228528 232072 261081 292008 304704 328509 348108 389344 438012 457056 464144 522162 584016 657018 667207 696216 778688 783243 876024 914112 928288 1044324 1168032 1314036 1334414 1392432 1566486 1752048 1856576 2001621 2088648 2336064 2628072 2668828 2784864 3132972 3504096 4003242 4177296 5256144 5337656 5569728 6004863 6265944 7008192 8006484 8354592 10512288 10675312 12009726 12531888 15345761 16012968 16709184 18014589 21024576 21350624 24019452 25063776 30691522 32025936 36029178 42701248 46037283 48038904 50127552 61383044 64051872 72058356 92074566 96077808 122766088 128103744 138111849 144116712 184149132 192155616 245532176 276223698 288233424 352952503 368298264 384311232 414335547 491064352 552447396 576466848 705905006 736596528 828671094 841522081 982128704 1058857509 1104894792 1152933696 1411810012 1473193056 1657342188 1683044162 2117715018 2209789584 2524566243 2823620024 2946386112 3176572527 3314684376 3366088324 4235430036 4419579168 5049132486 5647240048 6353145054 6629368752 6732176648 7573698729 8470860072 8839158336 9529717581 10098264972 11294480096 12706290108 13258737504 13464353296 15147397458 16941720144 19059435162 19355007863 20196529944 22588960192 22721096187 25412580216 26517475008 26928706592 30294794916 33883440288 38118870324 38710015726 40393059888 45442192374 50825160432 53857413184 58065023589 60589589832 67766880576 76237740648 77420031452 80786119776 90884384748 101650320864 116130047178 121179179664 152475481296 154840062904 161572239552 174195070767 181768769496 203300641728 232260094356 242358359328 304950962592 309680125808 348390141534 363537538992 445165180849 464520188712 484716718656 522585212301 609901925184 619360251616 696780283068 727075077984 890330361698 929040377424 1045170424602 1238720503232 1335495542547 1393560566136 1454150155968 1780660723396 1858080754848 2090340849204 2670991085094 2787121132272 3561321446792 3716161509696 4006486627641 4180681698408 5341982170188 5574242264544 7122642893584 8012973255282 8361363396816 10238799159527 10683964340376 11148484529088 12019459882923 14245285787168 16025946510564 16722726793632 20477598319054 21367928680752 24038919765846 28490571574336 30716397478581 32051893021128 33445453587264 40955196638108 42735857361504 48077839531692 61432794957162 64103786042256 81910393276216 85471714723008 92149192435743 96155679063384 122865589914324 128207572084512 163820786552432 184298384871486 192311358126768 245731179828648 256415144169024 276447577307229 327641573104864 368596769742972 384622716253536 491462359657296 552895154614458 655283146209728 737193539485944 769245432507072 982924719314592 1105790309228916 1474387078971888 1965849438629184 2211580618457832 2948774157943776 4423161236915664 5897548315887552 8846322473831328 17692644947662656
• Sum of all divisors σ(n): 513282623653576126848
• Sum of proper divisors (its aliquot sum) s(n): 36686366830138944
• 513245937286745987904 is a deficient number, because the sum of its proper divisors (36686366830138944) is less than itself. Its deficiency is 513209250919915848960

Bases of 513245937286745987904

• Binary: 110111101001010110111110111001010101100110100111010001001101101000000₂
• Hexadecimal: 0x1BD2B7DCAB34E89B40
• Base-36: 30BEH0G6NQA1C0

Squares and roots of 513245937286745987904

• 513245937286745987904 squared (513245937286745987904²) is 263421392141350395567781553675040914313216
• 513245937286745987904 cubed (513245937286745987904³) is 135199959310966847543125191712966872182240866165754535603339264
• The square root of 513245937286745987904 is 22654931853.5003761309
• 513245937286745987904 is a perfect cube number. Its cube root is 8006484

Scales and comparisons

• 513,245,937,286,745,987,904 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,245,937,286,745,987,904 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 513245937286745987904 cubic inches would be around 667207 feet tall.

Recreational maths with 513245937286745987904

• 513245937286745987904 backwards is 409789547682739542315
• 513245937286745987904 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 513245937286745987904's digits is 108
• More coming soon!