82742899712200
82,742,899,712,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82742899712200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
82742899712200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 82742899712200:
23 × 52 × 7 × 13 × 139 × 5333 × 6133
(2 × 2 × 2 × 5 × 5 × 7 × 13 × 139 × 5333 × 6133)See below for interesting mathematical facts about the number 82742899712200 from the Numbermatics database.
Names of 82742899712200
- Cardinal: 82742899712200 can be written as Eighty-two trillion, seven hundred forty-two billion, eight hundred ninety-nine million, seven hundred twelve thousand, two hundred.
Scientific notation
- Scientific notation: 8.27428997122 × 1013
Factors of 82742899712200
Divisors of 82742899712200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 139 140 175 182 200 260 278 280 325 350 364 455 520 556 650 695 700 728 910 973 1112 1300 1390 1400 1807 1820 1946 2275 2600 2780 3475 3614 3640 3892 4550 4865 5333 5560 6133 6950 7228 7784 9035 9100 9730 10666 12266 12649 13900 14456 18070 18200 19460 21332 24325 24532 25298 26665 27800 30665 36140 37331 38920 42664 42931 45175 48650 49064 50596 53330 61330 63245 69329 72280 74662 79729 85862 90350 97300 101192 106660 122660 126490 133325 138658 149324 153325 159458 171724 180700 186655 194600 213320 214655 245320 252980 266650 277316 298648 306650 316225 318916 343448 346645 361400 373310 398645 429310 485303 505960 533300 554632 558103 613300 632450 637832 693290 741287 746620 797290 852487 858620 933275 970606 1066600 1073275 1116206 1226600 1264900 1386580 1482574 1493240 1594580 1704974 1717240 1733225 1866550 1941212 1993225 2146550 2232412 2426515 2529800 2773160 2790515 2965148 3189160 3409948 3466450 3706435 3733100 3882424 3986450 4262435 4293100 4464824 4853030 5189009 5581030 5930296 5967409 6819896 6932900 7412870 7466200 7972900 8524870 8586200 9636731 9706060 10378018 11082331 11162060 11934818 12132575 13865800 13952575 14825740 15945800 17049740 18532175 19273462 19412120 20756036 21312175 22164662 22324120 23869636 24265150 25945045 27905150 29651480 29837045 32707289 34099480 37064350 38546924 41512072 42624350 44329324 47739272 48183655 48530300 51890090 55411655 55810300 59674090 65414578 67457117 74128700 77093848 77576317 85248700 88658648 96367310 97060600 103780180 110823310 111620600 119348180 129725225 130829156 134914234 148257400 149185225 155152634 163536445 170497400 192734620 207560360 221646620 228951023 238696360 240918275 259450450 261658312 269828468 277058275 298370450 310305268 327072890 337285585 385469240 387881585 425194757 443293240 457902046 481836550 518900900 539656936 554116550 596740900 620610536 654145780 674571170 775763170 817682225 850389514 915804092 963673100 1037801800 1108233100 1144755115 1193481800 1308291560 1349142340 1551526340 1635364450 1686427925 1700779028 1831608184 1927346200 1939407925 2125973785 2216466200 2289510230 2698284680 2976363299 3103052680 3270728900 3372855850 3401558056 3878815850 4251947570 4546313171 4579020460 5723775575 5952726598 6541457800 6745711700 7757631700 8503895140 9092626342 9158040920 10629868925 11447551150 11905453196 13491423400 14881816495 15515263400 17007790280 18185252684 21259737850 22731565855 22895102300 23810906392 29763632990 31824192197 36370505368 42519475700 45463131710 45790204600 59102071223 59527265980 63648384394 74409082475 85038951400 90926263420 113657829275 118204142446 119054531960 127296768788 148818164950 159120960985 181852526840 227315658550 236408284892 254593537576 295510356115 297636329900 318241921970 413714498561 454631317100 472816569784 591020712230 595272659800 636483843940 795604804925 827428997122 909262634200 1182041424460 1272967687880 1477551780575 1591209609850 1654857994244 2068572492805 2364082848920 2955103561150 3182419219700 3309715988488 4137144985610 5910207122300 6364838439400 8274289971220 10342862464025 11820414244600 16548579942440 20685724928050 41371449856100 82742899712200
- Sum of all divisors σ(n): 238558993747200
- Sum of proper divisors (its aliquot sum) s(n): 155816094035000
- 82742899712200 is an abundant number, because the sum of its proper divisors (155816094035000) is greater than itself. Its abundance is 73073194322800
Bases of 82742899712200
- Binary: 100101101000001000101010010010100100000110010002
- Hexadecimal: 0x4B41152520C8
- Base-36: TBVKA4OUG
Squares and roots of 82742899712200
- 82742899712200 squared (827428997122002) is 6846387452783186842828840000
- 82742899712200 cubed (827428997122003) is 566489950396503641706501251869859848000000
-
The
square root of 82742899712200 is 9096312.4238451705 -
The
cube root of 82742899712200 is 43575.6203854315
Scales and comparisons
How big is 82742899712200?- 82,742,899,712,200 seconds is equal to 2,630,968 years, 14 weeks, 8 hours, 56 minutes, 40 seconds.
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To count from 1 to 82,742,899,712,200 would take you about six million, five hundred seventy-seven thousand, four hundred twenty 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 82742899712200 cubic inches would be around 3631.3 feet tall.
Recreational maths with 82742899712200
- 82742899712200 backwards is 00221799824728
- The number of decimal digits it has is: 14
- The sum of 82742899712200's digits is 61
- More coming soon!
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