82138327405854720
82,138,327,405,854,720 is an even composite number composed of eight prime numbers multiplied together.
82138327405854720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 82138327405854720:
215 × 3 × 5 × 7 × 11 × 13 × 131 × 1274381
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 131 × 1274381)See below for interesting mathematical facts about the number 82138327405854720 from the Numbermatics database.
Names of 82138327405854720
- Cardinal: 82138327405854720 can be written as Eighty-two quadrillion, one hundred thirty-eight trillion, three hundred twenty-seven billion, four hundred five million, eight hundred fifty-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 8.213832740585472 × 1016
Factors of 82138327405854720
Divisors of 82138327405854720
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 64 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 128 130 131 132 140 143 154 156 160 165 168 176 182 192 195 208 210 220 224 231 240 256 260 262 264 273 280 286 308 312 320 330 336 352 364 384 385 390 393 416 420 429 440 448 455 462 480 512 520 524 528 546 560 572 616 624 640 655 660 672 704 715 728 768 770 780 786 832 840 858 880 896 910 917 924 960 1001 1024 1040 1048 1056 1092 1120 1144 1155 1232 1248 1280 1310 1320 1344 1365 1408 1430 1441 1456 1536 1540 1560 1572 1664 1680 1703 1716 1760 1792 1820 1834 1848 1920 1965 2002 2048 2080 2096 2112 2145 2184 2240 2288 2310 2464 2496 2560 2620 2640 2688 2730 2751 2816 2860 2882 2912 3003 3072 3080 3120 3144 3328 3360 3406 3432 3520 3584 3640 3668 3696 3840 3930 4004 4096 4160 4192 4224 4290 4323 4368 4480 4576 4585 4620 4928 4992 5005 5109 5120 5240 5280 5376 5460 5502 5632 5720 5764 5824 6006 6144 6160 6240 6288 6656 6720 6812 6864 7040 7168 7205 7280 7336 7392 7680 7860 8008 8192 8320 8384 8448 8515 8580 8646 8736 8960 9152 9170 9240 9856 9984 10010 10087 10218 10240 10480 10560 10752 10920 11004 11264 11440 11528 11648 11921 12012 12288 12320 12480 12576 13312 13440 13624 13728 13755 14080 14336 14410 14560 14672 14784 15015 15360 15720 16016 16384 16640 16768 16896 17030 17160 17292 17472 17920 18304 18340 18480 18733 19712 19968 20020 20174 20436 20480 20960 21120 21504 21615 21840 22008 22528 22880 23056 23296 23842 24024 24576 24640 24960 25152 25545 26624 26880 27248 27456 27510 28160 28672 28820 29120 29344 29568 30030 30261 30720 31440 32032 32768 33280 33536 33792 34060 34320 34584 34944 35763 35840 36608 36680 36960 37466 39424 39936 40040 40348 40872 40960 41920 42240 43008 43230 43680 44016 45056 45760 46112 46592 47684 48048 49152 49280 49920 50304 50435 51090 53248 53760 54496 54912 55020 56199 56320 57344 57640 58240 58688 59136 59605 60060 60522 61440 62880 64064 66560 67072 67584 68120 68640 69168 69888 71526 71680 73216 73360 73920 74932 78848 79872 80080 80696 81744 81920 83840 84480 86016 86460 87360 88032 90112 91520 92224 93184 93665 95368 96096 98304 98560 99840 100608 100870 102180 106496 107520 108992 109824 110040 112398 112640 114688 115280 116480 117376 118272 119210 120120 121044 122880 125760 128128 131131 133120 134144 135168 136240 137280 138336 139776 143052 143360 146432 146720 147840 149864 151305 157696 159744 160160 161392 163488 163840 167680 168960 172032 172920 174720 176064 178815 180224 183040 184448 186368 187330 190736 192192 197120 199680 201216 201740 204360 212992 215040 217984 219648 220080 224796 225280 229376 230560 232960 234752 236544 238420 240240 242088 245760 251520 256256 262262 266240 268288 270336 272480 274560 276672 279552 280995 286104 286720 292864 293440 295680 299728 302610 315392 319488 320320 322784 326976 335360 337920 344064 345840 349440 352128 357630 360448 366080 368896 372736 374660 381472 384384 393393 394240 399360 402432 403480 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210611095912448 213346304950272 213901894286080 225654745620480 233347521039360 244459307755520 248904022441984 256682273143296 263263869890560 266682881187840 287196948971520 293351169306624 300872994160640 311130028052480 313505066434560 315916643868672 320852841429120 342243030857728 355577174917120 366688961633280 373356033662976 391134892408832 394895804835840 421222191824896 427803788572160 451309491240960 466695042078720 488918615511040 497808044883968 513364546286592 526527739781120 533365762375680 574393897943040 586702338613248 622260056104960 627010132869120 631833287737344 641705682858240 684486061715456 733377923266560 746712067325952 782269784817664 789791609671680 855607577144320 902618982481920 933390084157440 977837231022080 1026729092573184 1053055479562240 1066731524751360 1173404677226496 1244520112209920 1263666575474688 1283411365716480 1368972123430912 1466755846533120 1493424134651904 1579583219343360 1711215154288640 1866780168314880 1955674462044160 2053458185146368 2106110959124480 2346809354452992 2489040224419840 2566822731432960 2737944246861824 2933511693066240 3159166438686720 3422430308577280 3733560336629760 3911348924088320 4106916370292736 5133645462865920 5475888493723648 5867023386132480 6318332877373440 6844860617154560 7467120673259520 8213832740585472 10267290925731840 11734046772264960 13689721234309120 16427665481170944 20534581851463680 27379442468618240 41069163702927360 82138327405854720
- Sum of all divisors σ(n): 355596415109591040
- Sum of proper divisors (its aliquot sum) s(n): 273458087703736320
- 82138327405854720 is an abundant number, because the sum of its proper divisors (273458087703736320) is greater than itself. Its abundance is 191319760297881600
Bases of 82138327405854720
- Binary: 1001000111101000001011111101000110111100010000000000000002
- Hexadecimal: 0x123D05FA3788000
- Base-36: MGRLUOSOFEO
Squares and roots of 82138327405854720
- 82138327405854720 squared (821383274058547202) is 6746704829031384576424933746278400
- 82138327405854720 cubed (821383274058547203) is 554163050157640958910328157482410338851171074048000
-
The
square root of 82138327405854720 is 286597849.6183366691 -
The
cube root of 82138327405854720 is 434692.3043678525
Scales and comparisons
How big is 82138327405854720?- 82,138,327,405,854,720 seconds is equal to 2,611,744,740 years, 50 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 82,138,327,405,854,720 would take you about seven billion, eight hundred thirty-five million, two hundred thirty-four thousand, two hundred twenty-two 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 82138327405854720 cubic inches would be around 36224.4 feet tall.
Recreational maths with 82138327405854720
- 82138327405854720 backwards is 02745850472383128
- The number of decimal digits it has is: 17
- The sum of 82138327405854720's digits is 69
- More coming soon!
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"Number 82138327405854720 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 82138327405854720 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/82138327405854720/
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The information we have on file for 82138327405854720 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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