820015164000

Names of 820015164000

• Cardinal: 820015164000 can be written as Eight hundred twenty billion, fifteen million, one hundred sixty-four thousand.

Scientific notation

• Scientific notation: 8.20015164 × 10¹¹

Factors of 820015164000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 198

Divisors of 820015164000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 72 74 75 80 81 90 96 100 108 111 120 125 135 144 148 150 151 160 162 180 185 200 216 222 225 240 243 250 270 288 296 300 302 324 333 360 370 375 400 405 432 444 450 453 480 486 500 540 555 592 600 604 648 666 675 720 740 750 755 800 810 864 888 900 906 925 972 999 1000 1080 1110 1125 1184 1200 1208 1215 1296 1332 1350 1359 1440 1480 1500 1510 1620 1665 1776 1800 1812 1850 1944 1998 2000 2025 2160 2220 2250 2265 2400 2416 2430 2592 2664 2700 2718 2775 2960 2997 3000 3020 3240 3330 3375 3552 3600 3624 3700 3775 3888 3996 4000 4050 4077 4320 4440 4500 4530 4625 4832 4860 4995 5328 5400 5436 5550 5587 5920 5994 6000 6040 6075 6480 6660 6750 6795 7200 7248 7400 7550 7776 7992 8100 8154 8325 8880 8991 9000 9060 9250 9720 9990 10125 10656 10800 10872 11100 11174 11325 11988 12000 12080 12150 12231 12960 13320 13500 13590 13875 14496 14800 14985 15100 15984 16200 16308 16650 16761 17760 17982 18000 18120 18500 18875 19440 19980 20250 20385 21600 21744 22200 22348 22650 22801 23976 24160 24300 24462 24975 26640 27000 27180 27750 27935 29600 29970 30200 30375 31968 32400 32616 33300 33522 33975 35964 36000 36240 36693 37000 37750 38880 39960 40500 40770 41625 43488 44400 44696 44955 45300 45602 47952 48600 48924 49950 50283 53280 54000 54360 55500 55870 56625 59940 60400 60750 61155 64800 65232 66600 67044 67950 68403 71928 72480 73386 74000 74925 75500 79920 81000 81540 83250 83805 88800 89392 89910 90600 91204 95904 97200 97848 99900 100566 101925 108000 108720 111000 111740 113250 114005 119880 120800 121500 122310 124875 130464 133200 134088 135900 136806 139675 143856 146772 148000 149850 150849 151000 159840 162000 163080 166500 167610 169875 178784 179820 181200 182408 183465 194400 195696 199800 201132 203850 205209 217440 222000 223480 224775 226500 228010 239760 243000 244620 249750 251415 266400 268176 271800 273612 279350 287712 293544 299700 301698 302000 305775 324000 326160 333000 335220 339750 342015 359640 362400 364816 366930 374625 391392 399600 402264 407700 410418 419025 444000 446960 449550 452547 453000 456020 479520 486000 489240 499500 502830 509625 536352 543600 547224 558700 570025 587088 599400 603396 604000 611550 615627 652320 666000 670440 679500 684030 698375 719280 729632 733860 749250 754245 799200 804528 815400 820836 838050 843637 893920 899100 905094 906000 912040 917325 972000 978480 999000 1005660 1019250 1026045 1087200 1094448 1117400 1123875 1140050 1174176 1198800 1206792 1223100 1231254 1257075 1332000 1340880 1357641 1359000 1368060 1396750 1438560 1467720 1498500 1508490 1528875 1609056 1630800 1641672 1676100 1687274 1710075 1798200 1810188 1812000 1824080 1834650 1846881 1956960 1998000 2011320 2038500 2052090 2095125 2188896 2234800 2247750 2262735 2280100 2397600 2413584 2446200 2462508 2514150 2530911 2681760 2715282 2718000 2736120 2793500 2850125 2935440 2997000 3016980 3057750 3078135 3261600 3283344 3352200 3374548 3420150 3596400 3620376 3648160 3669300 3693762 3771225 3996000 4022640 4077000 4104180 4190250 4218185 4469600 4495500 4525470 4560200 4586625 4827168 4892400 4925016 5028300 5061822 5130225 5430564 5436000 5472240 5540643 5587000 5700250 5870880 5994000 6033960 6115500 6156270 6285375 6566688 6704400 6749096 6788205 6840300 7192800 7240752 7338600 7387524 7542450 7592733 8045280 8154000 8208360 8380500 8436370 8550375 8991000 9050940 9120400 9173250 9234405 9784800 9850032 10056600 10123644 10260450 10861128 10944480 11081286 11174000 11313675 11400500 11988000 12067920 12231000 12312540 12570750 12654555 13408800 13498192 13576410 13680600 14481504 14677200 14775048 15084900 15185466 15390675 16308000 16416720 16761000 16872740 17100750 17982000 18101880 18240800 18346500 18468810 18856125 19700064 20113200 20247288 20520900 21090925 21722256 22162572 22348000 22627350 22778199 22801000 24135840 24462000 24625080 25141500 25309110 25651125 26996384 27152820 27361200 27703215 29354400 29550096 30169800 30370932 30781350 32833440 33522000 33745480 33941025 34201500 35964000 36203760 36693000 36937620 37712250 37963665 40226400 40494576 41041800 42181850 43444512 44325144 45254700 45556398 45602000 46172025 48924000 49250160 50283000 50618220 51302250 54305640 54722400 55406430 56568375 59100192 60339600 60741864 61562700 63272775 67044000 67490960 67882050 68334597 68403000 72407520 73386000 73875240 75424500 75927330 76953375 80989152 82083600 84363700 88650288 90509400 91112796 91204000 92344050 98500320 100566000 101236440 102604500 105454625 108611280 110812860 113136750 113890995 120679200 121483728 123125400 126545550 134981920 135764100 136669194 136806000 138516075 146772000 147750480 150849000 151854660 153906750 164167200 168727400 169705125 177300576 181018800 182225592 184688100 189818325 201132000 202472880 205003791 205209000 210909250 217222560 221625720 226273500 227781990 230860125 242967456 246250800 253091100 271528200 273338388 273612000 277032150 295500960 301698000 303709320 307813500 316363875 337454800 339410250 341672985 362037600 364451184 369376200 379636650 404945760 410007582 410418000 421818500 443251440 452547000 455563980 461720250 492501600 506182200 543056400 546676776 554064300 569454975 603396000 607418640 615627000 632727750 674909600 678820500 683345970 692580375 728902368 738752400 759273300 820015164 820836000 843637000 886502880 905094000 911127960 923440500 949091625 1012364400 1025018955 1086112800 1093353552 1108128600 1138909950 1214837280 1231254000 1265455500 1357641000 1366691940 1385160750 1477504800 1518546600 1640030328 1687274000 1708364925 1810188000 1822255920 1846881000 1898183250 2024728800 2050037910 2186707104 2216257200 2277819900 2462508000 2530911000 2715282000 2733383880 2770321500 2847274875 3037093200 3280060656 3374548000 3416729850 3644511840 3693762000 3796366500 4100075820 4432514400 4555639800 5061822000 5125094775 5430564000 5466767760 5540643000 5694549750 6074186400 6560121312 6833459700 7387524000 7592733000 8200151640 8541824625 9111279600 10123644000 10250189550 10933535520 11081286000 11389099500 13666919400 15185466000 16400303280 17083649250 18222559200 20500379100 22162572000 22778199000 25625473875 27333838800 30370932000 32800606560 34167298500 41000758200 45556398000 51250947750 54667677600 68334597000 82001516400 91112796000 102501895500 136669194000 164003032800 205003791000 273338388000 410007582000 820015164000
• Sum of all divisors σ(n): 3120251385888
• Sum of proper divisors (its aliquot sum) s(n): 2300236221888
• 820015164000 is an abundant number, because the sum of its proper divisors (2300236221888) is greater than itself. Its abundance is 1480221057888

Bases of 820015164000

• Binary: 1011111011101100101101100110101001100000₂
• Hexadecimal: 0xBEECB66A60
• Base-36: AGPJUU00

Squares and roots of 820015164000

• 820015164000 squared (820015164000²) is 672424869189946896000000
• 820015164000 cubed (820015164000³) is 551398589386472851074730944000000000
• The square root of 820015164000 is 905546.8866933395
• The cube root of 820015164000 is 9359.9593193499

Scales and comparisons

• 820,015,164,000 seconds is equal to 26,073 years, 49 weeks, 1 day, 6 hours.
• To count from 1 to 820,015,164,000 would take you about fifty-two thousand, one hundred forty-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 820015164000 cubic inches would be around 780 feet tall.

Recreational maths with 820015164000

• 820015164000 backwards is 000461510028
• 820015164000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 820015164000's digits is 27
• More coming soon!