814474875320400

Names of 814474875320400

• Cardinal: 814474875320400 can be written as Eight hundred fourteen trillion, four hundred seventy-four billion, eight hundred seventy-five million, three hundred twenty thousand, four hundred.

Scientific notation

• Scientific notation: 8.144748753204 × 10¹⁴

Factors of 814474875320400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1118528

Divisors of 814474875320400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 61 70 75 80 84 100 105 112 120 122 140 150 168 175 183 200 210 240 244 280 300 305 336 350 366 400 420 427 488 525 560 600 610 700 732 840 854 915 976 1050 1200 1220 1281 1400 1423 1464 1525 1680 1708 1830 2100 2135 2440 2562 2800 2846 2928 3050 3416 3660 4200 4269 4270 4575 4880 5124 5692 6100 6405 6832 7115 7320 8400 8538 8540 9150 9961 10248 10675 11384 12200 12810 14230 14640 17076 17080 18300 19922 20496 21345 21350 22768 24400 25620 28460 29883 32025 34152 34160 35575 36600 39844 42690 42700 49805 51240 56920 59766 64050 68304 71150 73200 79688 85380 85400 86803 99610 102480 106725 113840 119532 128100 142300 149415 159376 170760 170800 173606 199220 213450 239064 249025 256200 260409 284600 298830 341520 347212 398440 426900 434015 478128 498050 512400 520818 569200 597660 607621 694424 747075 796880 853800 868030 996100 1041636 1117027 1195320 1215242 1302045 1388848 1494150 1707600 1736060 1822863 1992200 2083272 2170075 2234054 2390640 2430484 2604090 2988300 3038105 3351081 3472120 3645726 3984400 4166544 4340150 4468108 4860968 5208180 5585135 5976600 6076210 6510225 6702162 6944240 7291452 7819189 8680300 8936216 9114315 9721936 10416360 11170270 11953200 12152420 13020450 13404324 14582904 15190525 15638378 16755405 17360600 17872432 18228630 20832720 22340540 23457567 24304840 26040900 26808648 27925675 29165808 30381050 31276756 33510810 34721200 36457260 39095945 44681080 45571575 46915134 48609680 52081800 53617296 55851350 60762100 62553512 67021620 68138647 72914520 78191890 83777025 89362160 91143150 93830268 104163600 111702700 117287835 121524200 125107024 134043240 136277294 145829040 156383780 167554050 182286300 187660536 195479725 204415941 223405400 234575670 243048400 268086480 272554588 312767560 335108100 340693235 364572600 375321072 390959450 408831882 446810800 469151340 476970529 545109176 586439175 625535120 670216200 681386470 729145200 781918900 817663764 938302680 953941058 1022079705 1090218352 1172878350 1340432400 1362772940 1430911587 1563837800 1589529421 1635327528 1703466175 1876605360 1907882116 2044159410 2345756700 2384852645 2725545880 2861823174 3127675600 3179058842 3270655056 3406932350 3815764232 4088318820 4691513400 4768588263 4769705290 5110398525 5451091760 5723646348 6358117684 6813864700 7154557935 7631528464 7947647105 8176637640 9383026800 9537176526 9539410580 10220797050 11126705947 11447292696 11924263225 12716235368 13627729400 14309115870 15895294210 16353275280 19074353052 19078821160 20441594100 22253411894 22894585392 23842941315 23848526450 25432470736 27255458800 28618231740 31790588420 33380117841 35772789675 38148706104 38157642320 39738235525 40883188200 44506823788 47685882630 47697052900 55633529735 57236463480 63581176840 66760235682 71545579350 76297412208 79476471050 81766376400 89013647576 95371765260 95394105800 96961294681 111267059470 114472926960 119214706575 127162353680 133520471364 143091158700 158952942100 166900589205 178027295152 190743530520 190788211600 193922589362 222534118940 238429413150 267040942728 278167648675 286182317400 290883884043 317905884200 333801178410 381487061040 387845178724 445068237880 476858826300 484806473405 534081885456 556335297350 572364634800 581767768086 635811768400 667602356820 678729062767 775690357448 834502946025 890136475760 953717652600 969612946810 1112670594700 1163535536172 1335204713640 1357458125534 1454419420215 1551380714896 1669005892050 1907435305200 1939225893620 2036187188301 2225341189400 2327071072344 2424032367025 2670409427280 2714916251068 2908838840430 3338011784100 3393645313835 3878451787240 4072374376602 4450682378800 4654142144688 4848064734050 5429832502136 5817677680860 6676023568200 6787290627670 7272097101075 7756903574480 8144748753204 9696129468100 10180935941505 10859665004272 11635355361720 13352047136400 13574581255340 14544194202150 16289497506408 16968226569175 19392258936200 20361871883010 23270710723440 27149162510680 29088388404300 32578995012816 33936453138350 38784517872400 40723743766020 50904679707525 54298325021360 58176776808600 67872906276700 81447487532040 101809359415050 116353553617200 135745812553400 162894975064080 203618718830100 271491625106800 407237437660200 814474875320400
• Sum of all divisors σ(n): 3032767408304128
• Sum of proper divisors (its aliquot sum) s(n): 2218292532983728
• 814474875320400 is an abundant number, because the sum of its proper divisors (2218292532983728) is greater than itself. Its abundance is 1403817657663328

Bases of 814474875320400

• Binary: 10111001001100001010110101100111110011100001010000₂
• Hexadecimal: 0x2E4C2B59F3850
• Base-36: 80PGLBNBDC

Squares and roots of 814474875320400

• 814474875320400 squared (814474875320400²) is 663369322528181125002656160000
• 814474875320400 cubed (814474875320400³) is 540297646257518536701926983034831033664000000
• The square root of 814474875320400 is 28539006.2076520107
• The cube root of 814474875320400 is 93388.3202537381

Scales and comparisons

• 814,474,875,320,400 seconds is equal to 25,897,781 years, 36 weeks, 2 days, 10 hours, 20 minutes.
• To count from 1 to 814,474,875,320,400 would take you about sixty-four million, seven hundred forty-four thousand, four hundred fifty-four 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 814474875320400 cubic inches would be around 7782.4 feet tall.

Recreational maths with 814474875320400

• 814474875320400 backwards is 004023578474418
• The number of decimal digits it has is: 15
• The sum of 814474875320400's digits is 57
• More coming soon!