82137042000
82,137,042,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 82137042000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
82137042000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 82137042000:
24 × 32 × 53 × 133 × 31 × 67
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 31 × 67)See below for interesting mathematical facts about the number 82137042000 from the Numbermatics database.
Names of 82137042000
- Cardinal: 82137042000 can be written as Eighty-two billion, one hundred thirty-seven million, forty-two thousand.
Scientific notation
- Scientific notation: 8.2137042 × 1010
Factors of 82137042000
Divisors of 82137042000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 36 39 40 45 48 50 52 60 62 65 67 72 75 78 80 90 93 100 104 117 120 124 125 130 134 144 150 155 156 169 180 186 195 200 201 208 225 234 240 248 250 260 268 279 300 310 312 325 335 338 360 372 375 390 400 402 403 450 465 468 496 500 507 520 536 558 585 600 603 620 624 650 670 676 720 744 750 775 780 804 806 845 871 900 930 936 975 1000 1005 1014 1040 1072 1116 1125 1170 1200 1206 1209 1240 1300 1340 1352 1395 1488 1500 1521 1550 1560 1608 1612 1625 1675 1690 1742 1800 1860 1872 1950 2000 2010 2015 2028 2077 2197 2232 2250 2325 2340 2412 2418 2480 2535 2600 2613 2680 2704 2790 2925 3000 3015 3042 3100 3120 3216 3224 3250 3350 3380 3484 3600 3627 3720 3875 3900 4020 4030 4056 4154 4225 4355 4394 4464 4500 4650 4680 4824 4836 4875 5025 5070 5200 5226 5239 5360 5580 5850 6000 6030 6045 6084 6200 6231 6448 6500 6591 6700 6760 6968 6975 7254 7440 7605 7750 7800 7839 8040 8060 8112 8308 8375 8450 8710 8788 9000 9300 9360 9648 9672 9750 10050 10075 10140 10385 10452 10478 10985 11160 11323 11625 11700 12060 12090 12168 12400 12462 12675 13000 13065 13182 13400 13520 13936 13950 14508 14625 15075 15210 15500 15600 15678 15717 16080 16120 16616 16750 16900 17420 17576 18000 18135 18600 18693 19344 19500 19773 20100 20150 20280 20770 20904 20956 21125 21775 21970 22320 22646 23250 23400 24120 24180 24336 24924 25125 25350 26000 26130 26195 26364 26800 27001 27900 29016 29250 30150 30225 30420 31000 31155 31356 31434 32240 32955 33232 33500 33800 33969 34840 34875 35152 36270 37200 37386 38025 39000 39195 39546 40200 40300 40560 41540 41808 41912 42250 43550 43940 45292 46500 46800 47151 48240 48360 49848 50250 50375 50700 51925 52260 52390 52728 54002 54925 55800 56615 58032 58500 60300 60450 60840 62000 62310 62712 62868 63375 65325 65910 67000 67600 67938 68107 69680 69750 72540 74772 75375 76050 78000 78390 78585 79092 80400 80600 81003 83080 83824 84500 87100 87880 90584 90675 93000 93465 94302 96720 98865 99696 100500 100750 101400 101907 103850 104520 104780 105456 108004 108875 109850 111600 113230 117000 120600 120900 121680 124620 125424 125736 126750 130650 130975 131820 134000 135005 135876 136214 139500 145080 147199 149544 150750 151125 152100 155775 156780 157170 158184 161200 162006 164775 166160 169000 169845 174200 175760 181168 181350 186000 186930 188604 190125 195975 197730 201000 201500 202800 203814 204321 207700 209040 209560 216008 217750 219700 226460 234000 235755 241200 241800 243009 249240 251472 253500 259625 261300 261950 263640 270010 271752 272428 274625 279000 283075 290160 294398 299088 301500 302250 304200 311550 313560 314340 316368 324012 326625 329550 338000 339690 340535 348400 351013 362700 373860 377208 380250 391950 392925 395460 402000 403000 405015 407628 408642 415400 419120 432016 435500 439400 441597 452920 453375 467325 471510 483600 486018 494325 498480 507000 509535 519250 522600 523900 527280 540020 543504 544856 549250 558000 566150 588796 603000 604500 608400 612963 623100 627120 628680 648024 653250 654875 659100 675025 679380 681070 702026 725400 735995 747720 754416 760500 778875 783900 785850 790920 806000 810030 815256 817284 823875 830800 849225 871000 878800 883194 905840 906750 934650 943020 972036 979875 988650 1014000 1019070 1021605 1038500 1045200 1047800 1053039 1080040 1089712 1098500 1132300 1177592 1178775 1206000 1209000 1215045 1225926 1246200 1257360 1296048 1306500 1309750 1318200 1324791 1350050 1358760 1362140 1404052 1415375 1450800 1471990 1495440 1521000 1557750 1567800 1571700 1581840 1620060 1630512 1634568 1647750 1698450 1702675 1742000 1755065 1766388 1813500 1869300 1886040 1944072 1959750 1964625 1977300 2025075 2038140 2043210 2077000 2095600 2106078 2160080 2197000 2207985 2264600 2336625 2355184 2357550 2418000 2430090 2451852 2471625 2492400 2547675 2613000 2619500 2636400 2649582 2700100 2717520 2724280 2808104 2830750 2943980 3042000 3064815 3115500 3135600 3143400 3159117 3240120 3269136 3295500 3375125 3396900 3405350 3510130 3532776 3627000 3679975 3738600 3772080 3888144 3919500 3929250 3954600 4050150 4076280 4086420 4154000 4212156 4246125 4394000 4415970 4529200 4563169 4673250 4715100 4860180 4903704 4943250 5095350 5108025 5226000 5239000 5265195 5299164 5400200 5448560 5616208 5661500 5887960 5893875 6075225 6129630 6231000 6286800 6318234 6480240 6591000 6623955 6750250 6793800 6810700 7020260 7065552 7254000 7359950 7477200 7839000 7858500 7909200 8100300 8152560 8172840 8424312 8492250 8513375 8775325 8831940 9126338 9346500 9430200 9720360 9807408 9886500 10125375 10190700 10216050 10478000 10530390 10598328 10800400 11039925 11323000 11775920 11787750 12150450 12259260 12462000 12636468 12738375 13182000 13247910 13500500 13587600 13621400 13689507 14040520 14719900 15324075 15678000 15717000 15795585 16200600 16345680 16848624 16984500 17026750 17550650 17663880 18252676 18399875 18693000 18860400 19440720 19773000 20250750 20381400 20432100 21060780 21196656 22079850 22646000 22815845 23575500 24300900 24518520 25272936 25476750 25540125 26325975 26495820 27001000 27242800 27379014 28081040 29439800 30376125 30648150 31434000 31591170 32401200 33119775 33969000 34053500 35101300 35327760 36505352 36799750 37386000 39546000 40501500 40762800 40864200 41068521 42121560 43876625 44159700 45631690 47151000 48601800 49037040 50545872 50953500 51080250 52651950 52991640 54002000 54758028 55199625 58879600 60752250 61296300 63182340 66239550 67938000 68107000 68447535 70202600 73010704 73599500 76620375 78977925 81003000 81728400 82137042 84243120 87753250 88319400 91263380 94302000 97203600 101907000 102160500 105303900 105983280 109516056 110399250 114079225 121504500 122592600 126364680 131629875 132479100 136214000 136895070 140405200 147199000 153240750 157955850 162006000 164274084 165598875 175506500 176638800 182526760 203814000 204321000 205342605 210607800 219032112 220798500 228158450 243009000 245185200 252729360 263259750 264958200 273790140 294398000 306481500 315911700 328548168 331197750 342237675 351013000 365053520 394889625 408642000 410685210 421215600 441597000 456316900 486018000 526519500 529916400 547580280 570396125 612963000 631823400 657096336 662395500 684475350 702026000 789779250 821370420 883194000 912633800 1026713025 1053039000 1095160560 1140792250 1225926000 1263646800 1324791000 1368950700 1579558500 1642740840 1711188375 1825267600 2053426050 2106078000 2281584500 2649582000 2737901400 3159117000 3285481680 3422376750 4106852100 4563169000 5133565125 5475802800 6318234000 6844753500 8213704200 9126338000 10267130250 13689507000 16427408400 20534260500 27379014000 41068521000 82137042000
- Sum of all divisors σ(n): 325585827840
- Sum of proper divisors (its aliquot sum) s(n): 243448785840
- 82137042000 is an abundant number, because the sum of its proper divisors (243448785840) is greater than itself. Its abundance is 161311743840
Bases of 82137042000
- Binary: 10011000111111011111111001100010100002
- Hexadecimal: 0x131FBFCC50
- Base-36: 11QE9V80
Squares and roots of 82137042000
- 82137042000 squared (821370420002) is 6746493668509764000000
- 82137042000 cubed (821370420003) is 554137033803120563078088000000000
-
The
square root of 82137042000 is 286595.6070842677 -
The
cube root of 82137042000 is 4346.9003681521
Scales and comparisons
How big is 82137042000?- 82,137,042,000 seconds is equal to 2,611 years, 36 weeks, 4 days, 5 hours.
-
To count from 1 to 82,137,042,000 would take you about five thousand, two hundred twenty-three 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 82137042000 cubic inches would be around 362.2 feet tall.
Recreational maths with 82137042000
- 82137042000 backwards is 00024073128
- The number of decimal digits it has is: 11
- The sum of 82137042000's digits is 27
- More coming soon!
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The information we have on file for 82137042000 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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