13407070146400

Names of 13407070146400

• Cardinal: 13407070146400 can be written as Thirteen trillion, four hundred seven billion, seventy million, one hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.34070701464 × 10¹³

Factors of 13407070146400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1846

Divisors of 13407070146400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 70 74 80 89 100 112 140 148 160 175 178 185 200 224 259 280 296 350 356 370 400 445 518 560 592 623 700 712 740 800 829 877 890 925 1036 1120 1184 1246 1295 1400 1424 1480 1658 1754 1780 1850 2072 2225 2492 2590 2800 2848 2960 3115 3293 3316 3508 3560 3700 4144 4145 4385 4450 4984 5180 5600 5803 5920 6139 6230 6475 6586 6632 7016 7120 7400 8288 8290 8770 8900 9968 10360 11606 12278 12460 12950 13172 13264 14032 14240 14800 15575 16465 16580 17540 17800 19936 20720 20725 21925 23051 23212 24556 24920 25900 26344 26528 28064 29015 29600 30673 30695 31150 32449 32930 33160 35080 35600 41440 41450 43850 46102 46424 49112 49840 51800 52688 58030 61346 61390 62300 64898 65860 66320 70160 71200 73781 78053 82325 82900 87700 92204 92848 98224 99680 103600 105376 115255 116060 122692 122780 124600 129796 131720 132640 140320 145075 147562 153365 153475 156106 162245 164650 165800 175400 184408 185696 196448 207200 214711 227143 230510 232120 245384 245560 249200 259592 263440 290150 295124 306730 306950 312212 324490 329300 331600 350800 368816 368905 390265 429422 454286 461020 464240 490768 491120 498400 516467 519184 526880 546371 576275 580300 590248 613460 613900 624424 648980 658600 663200 701600 727033 737632 737810 766825 780530 811225 858844 908572 922040 928480 981536 982240 1032934 1038368 1073555 1092742 1135715 1152550 1160600 1180496 1226920 1227800 1248848 1297960 1317200 1454066 1475620 1533650 1561060 1622450 1717688 1817144 1844080 1844525 1951325 2065868 2147110 2185484 2271430 2305100 2321200 2360992 2453840 2455600 2497696 2582335 2595920 2634400 2729897 2731855 2887961 2908132 2951240 3067300 3122120 3244900 3435376 3634288 3635165 3688160 3689050 3902650 4131736 4294220 4370968 4542860 4610200 4642400 4907680 4911200 5089231 5164670 5191840 5367775 5459794 5463710 5678575 5775922 5816264 5902480 6134600 6244240 6489800 6870752 7268576 7270330 7378100 7805300 8263472 8588440 8741936 9085720 9220400 10178462 10329340 10735550 10919588 10927420 11357150 11551844 11632528 11804960 12269200 12488480 12911675 12979600 13649485 13659275 14439805 14540660 14756200 15610600 16526944 17176880 17483872 18171440 18175825 18440800 19109279 20215727 20356924 20658680 21471100 21839176 21854840 22714300 23103688 23265056 24538400 25446155 25823350 25959200 26900221 27298970 27318550 28879610 29081320 29512400 31221200 34353760 36342880 36351650 38218558 40431454 40713848 41317360 42942200 43678352 43709680 45428600 46207376 50892310 51646700 53800442 54597940 54637100 57759220 58162640 59024800 62442400 64705937 68247425 72199025 72703300 76437116 80862908 81427696 82634720 85884400 87356704 87419360 90857200 92414752 95546395 101078635 101784620 103293400 107600884 109195880 109274200 115518440 116325280 127230775 129411874 134501105 136494850 144398050 145406600 152874232 161725816 162855392 171768800 181714400 188301547 191092790 202157270 203569240 206586800 215201768 218391760 218548400 231036880 254461550 258823748 269002210 272989700 288796100 290813200 305748464 323451632 323529685 376603094 382185580 404314540 407138480 413173600 430403536 436783520 437096800 452941559 462073760 477731975 505393175 508923100 517647496 538004420 545979400 577592200 581626400 611496928 646903264 647059370 672505525 753206188 764371160 808629080 814276960 860807072 905883118 941507735 955463950 1010786350 1017846200 1035294992 1076008840 1091958800 1155184400 1294118740 1345011050 1506412376 1528742320 1617258160 1617648425 1811766236 1883015470 1910927900 2021572700 2035692400 2070589984 2152017680 2183917600 2264707795 2310368800 2394119669 2588237480 2690022100 3012824752 3057484640 3234516320 3235296850 3623532472 3766030940 3821855800 4043145400 4071384800 4304035360 4529415590 4707538675 4788239338 5176474960 5380044200 6025649504 6470593700 7247064944 7532061880 7643711600 8086290800 9058831180 9415077350 9576478676 10352949920 10760088400 11323538975 11970598345 12941187400 14494129888 15064123760 15287423200 16172581600 16758837683 18117662360 18830154700 19152957352 21520176800 22647077950 23941196690 25882374800 30128247520 33517675366 36235324720 37660309400 38305914704 45294155900 47882393380 51764749600 59852991725 67035350732 72470649440 75320618800 76611829408 83794188415 90588311800 95764786760 119705983450 134070701464 150641237600 167588376830 181176623600 191529573520 239411966900 268141402928 335176753660 362353247200 383059147040 418970942075 478823933800 536282805856 670353507320 837941884150 957647867600 1340707014640 1675883768300 1915295735200 2681414029280 3351767536600 6703535073200 13407070146400
• Sum of all divisors σ(n): 38939551459200
• Sum of proper divisors (its aliquot sum) s(n): 25532481312800
• 13407070146400 is an abundant number, because the sum of its proper divisors (25532481312800) is greater than itself. Its abundance is 12125411166400

Bases of 13407070146400

• Binary: 11000011000110010011101001110100111101100000₂
• Hexadecimal: 0xC3193A74F60
• Base-36: 4R34FEKPS

Squares and roots of 13407070146400

• 13407070146400 squared (13407070146400²) is 179749529910490117432960000
• 13407070146400 cubed (13407070146400³) is 2409914556292365917627668219385344000000
• The square root of 13407070146400 is 3661566.6246020979
• The cube root of 13407070146400 is 23756.2540258487

Scales and comparisons

• 13,407,070,146,400 seconds is equal to 426,303 years, 18 weeks, 4 days, 23 hours, 46 minutes, 40 seconds.
• To count from 1 to 13,407,070,146,400 would take you about one million, sixty-five thousand, seven hundred fifty-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 13407070146400 cubic inches would be around 1979.7 feet tall.

Recreational maths with 13407070146400

• 13407070146400 backwards is 00464107070431
• 13407070146400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13407070146400's digits is 37
• More coming soon!