13458584574025920

Names of 13458584574025920

• Cardinal: 13458584574025920 can be written as Thirteen quadrillion, four hundred fifty-eight trillion, five hundred eighty-four billion, five hundred seventy-four million, twenty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.345858457402592 × 10¹⁶

Factors of 13458584574025920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 22197600

Divisors of 13458584574025920

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 105 112 114 120 126 133 140 144 152 160 168 171 180 190 192 210 224 228 240 252 266 280 285 288 304 315 320 336 342 360 380 399 420 448 456 480 504 532 560 570 576 608 630 665 672 684 720 760 798 840 855 912 960 1008 1064 1120 1140 1197 1216 1260 1330 1344 1368 1440 1520 1583 1596 1680 1710 1824 1995 2016 2128 2240 2280 2394 2520 2660 2736 2880 3040 3166 3192 3360 3420 3648 3990 4032 4256 4560 4749 4788 5040 5320 5472 5985 6080 6332 6384 6720 6840 7915 7980 8512 9120 9498 9576 10080 10640 10944 11081 11970 12664 12768 13680 14247 15830 15960 18240 18996 19152 20160 21280 22162 23745 23940 25328 25536 27360 28494 30077 31660 31920 33243 37992 38304 42560 44324 47490 47880 50656 54720 55405 56988 60154 63320 63840 66486 71235 75984 76608 88648 90231 94980 95760 99729 101312 110810 113976 120308 126640 127680 132972 142470 150385 151968 166215 177296 180462 189960 191520 199458 210539 221620 227952 240616 253280 265944 270693 284940 300770 303936 332430 354592 360924 379920 383040 398916 421078 443240 451155 455904 481232 498645 506560 531888 541386 569880 601540 631617 664860 709184 721848 759840 797832 842156 886480 902310 911808 962464 997290 1052695 1063776 1082772 1139760 1203080 1263234 1329720 1353465 1443696 1519680 1595664 1684312 1772960 1804620 1894851 1924928 1994580 2105390 2127552 2165544 2279520 2406160 2526468 2659440 2706930 2887392 3158085 3191328 3368624 3545920 3609240 3789702 3989160 4210780 4331088 4559040 4812320 5052936 5318880 5413860 5774784 6316170 6382656 6737248 7218480 7579404 7978320 8421560 8662176 9474255 9624640 10105872 10637760 10827720 12632340 13474496 14436960 15158808 15956640 16843120 17324352 18948510 20211744 21655440 22195981 25264680 28873920 30317616 31913280 33686240 37897020 40423488 43310880 44391962 50529360 60635232 66587943 67372480 75794040 86621760 88783924 101058720 110979905 121270464 133175886 151588080 155371867 177567848 199763829 202117440 221959810 266351772 303176160 310743734 332939715 355135696 399527658 421723639 443919620 466115601 532703544 606352320 621487468 665879430 710271392 776859335 799055316 843447278 887839240 932231202 998819145 1065407088 1242974936 1265170917 1331758860 1398346803 1420542784 1553718670 1598110632 1686894556 1775678480 1864462404 1997638290 2108618195 2130814176 2330578005 2485949872 2530341834 2663517720 2796693606 2952065473 3107437340 3196221264 3373789112 3551356960 3728924808 3795512751 3995276580 4217236390 4261628352 4661156010 4971899744 5060683668 5327035440 5593387212 5904130946 6214874680 6325854585 6392442528 6747578224 6991734015 7102713920 7457849616 7591025502 7990553160 8434472780 8856196419 9322312020 9943799488 10121367336 10654070880 11186774424 11808261892 12429749360 12651709170 12784885056 13495156448 13983468030 14760327365 14915699232 15182051004 15981106320 16868945560 17712392838 18644624040 18977563755 20242734672 21308141760 22373548848 23616523784 24859498720 25303418340 26568589257 26990312896 27966936060 29520654730 29831398464 30364102008 31962212640 33737891120 35136237923 35424785676 37289248080 37955127510 40485469344 44280982095 44747097696 47233047568 49718997440 50606836680 53137178514 55933872120 59041309460 60728204016 63924425280 67475782240 70272475846 70849571352 74578496160 75910255020 80970938688 88561964190 89494195392 94466095136 101213673360 105408713769 106274357028 111867744240 118082618920 121456408032 132842946285 134951564480 140544951692 141699142704 149156992320 151820510040 175681189615 177123928380 188932190272 202427346720 210817427538 212548714056 223735488480 236165237840 242912816064 245953665461 265685892570 281089903384 283398285408 303641020080 316226141307 351362379230 354247856760 404854693440 421634855076 425097428112 447470976960 472330475680 491907330922 527043568845 531371785140 562179806768 566796570816 607282040160 632452282614 667588520537 702724758460 708495713520 737860996383 843269710152 850194856224 944660951360 983814661844 1054087137690 1062743570280 1124359613536 1214564080320 1229768327305 1264904565228 1335177041074 1405449516920 1416991427040 1475721992766 1581130706535 1686539420304 1700389712448 1967629323688 2002765561611 2108174275380 2125487140560 2213582989149 2248719227072 2459536654610 2529809130456 2670354082148 2810899033840 2833982854080 2951443985532 3162261413070 3337942602685 3373078840608 3689304981915 3935258647376 4005531123222 4216348550760 4250974281120 4427165978298 4673119643759 4919073309220 5059618260912 5340708164296 5621798067680 5902887971064 6008296684833 6324522826140 6675885205370 6746157681216 7378609963830 7870517294752 8011062246444 8432697101520 8501948562240 8854331956596 9346239287518 9838146618440 10013827808055 10119236521824 10681416328592 11067914945745 11243596135360 11805775942128 12016593369666 12649045652280 13351770410740 14019358931277 14757219927660 15741034589504 16022124492888 16865394203040 17708663913192 18692478575036 19676293236880 20027655616110 20238473043648 21362832657184 22135829891490 23365598218795 23611551884256 24033186739332 25298091304560 26703540821480 28038717862554 29514439855320 30041483424165 32044248985776 33730788406080 35417327826384 37384957150072 39352586473760 40055311232220 42058076793831 42725665314368 44271659782980 46731196437590 47223103768512 48066373478664 50596182609120 53407081642960 56077435725108 59028879710640 60082966848330 64088497971552 70096794656385 70834655652768 74769914300144 78705172947520 80110622464440 84116153587662 88543319565960 93462392875180 96132746957328 101192365218240 106814163285920 112154871450216 118057759421280 120165933696660 128176995943104 140193589312770 141669311305536 149539828600288 160221244928880 168232307175324 177086639131920 186924785750360 192265493914656 210290383969155 213628326571840 224309742900432 236115518842560 240331867393320 280387178625540 299079657200576 320442489857760 336464614350648 354173278263840 373849571500720 384530987829312 420580767938310 448619485800864 480663734786640 560774357251080 640884979715520 672929228701296 708346556527680 747699143001440 841161535876620 897238971601728 961327469573280 1121548714502160 1345858457402592 1495398286002880 1682323071753240 1922654939146560 2243097429004320 2691716914805184 3364646143506480 4486194858008640 6729292287012960 13458584574025920
• Sum of all divisors σ(n): 55724713911060480
• Sum of proper divisors (its aliquot sum) s(n): 42266129337034560
• 13458584574025920 is an abundant number, because the sum of its proper divisors (42266129337034560) is greater than itself. Its abundance is 28807544763008640

Bases of 13458584574025920

• Binary: 101111110100001000001011101000101101101110000011000000₂
• Hexadecimal: 0x2FD082E8B6E0C0
• Base-36: 3OIO4ED0OG0

Squares and roots of 13458584574025920

• 13458584574025920 squared (13458584574025920²) is 181133498736208454500316831846400
• 13458584574025920 cubed (13458584574025920³) is 2437800511930478581273587514341159189715058688000
• The square root of 13458584574025920 is 116011139.8703845163
• The cube root of 13458584574025920 is 237866.4161861217

Scales and comparisons

• 13,458,584,574,025,920 seconds is equal to 427,941,359 years, 16 weeks, 3 days, 23 hours, 12 minutes.
• To count from 1 to 13,458,584,574,025,920 would take you about one billion, two hundred eighty-three million, eight hundred twenty-four thousand and seventy-seven 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 13458584574025920 cubic inches would be around 19822.2 feet tall.

Recreational maths with 13458584574025920

• 13458584574025920 backwards is 02952047548585431
• 13458584574025920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13458584574025920's digits is 72
• More coming soon!