82146928846400
82,146,928,846,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 82146928846400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 378 divisors.
82146928846400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 82146928846400:
26 × 52 × 112 × 41 × 32172
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 41 × 3217 × 3217)See below for interesting mathematical facts about the number 82146928846400 from the Numbermatics database.
Names of 82146928846400
- Cardinal: 82146928846400 can be written as Eighty-two trillion, one hundred forty-six billion, nine hundred twenty-eight million, eight hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 8.21469288464 × 1013
Factors of 82146928846400
Divisors of 82146928846400
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 121 160 164 176 200 205 220 242 275 320 328 352 400 410 440 451 484 550 605 656 704 800 820 880 902 968 1025 1100 1210 1312 1600 1640 1760 1804 1936 2050 2200 2255 2420 2624 3025 3217 3280 3520 3608 3872 4100 4400 4510 4840 4961 6050 6434 6560 7216 7744 8200 8800 9020 9680 9922 11275 12100 12868 13120 14432 16085 16400 17600 18040 19360 19844 22550 24200 24805 25736 28864 32170 32800 35387 36080 38720 39688 45100 48400 49610 51472 64340 65600 70774 72160 79376 80425 90200 96800 99220 102944 124025 128680 131897 141548 144320 158752 160850 176935 180400 193600 198440 205888 248050 257360 263794 283096 317504 321700 353870 360800 389257 396880 496100 514720 527588 566192 643400 659485 707740 721600 778514 793760 884675 992200 1029440 1055176 1132384 1286800 1318970 1415480 1450867 1557028 1587520 1769350 1946285 1984400 2110352 2264768 2573600 2637940 2830960 2901734 3114056 3297425 3538700 3892570 3968800 4220704 5147200 5275880 5661920 5803468 6228112 6594850 7077400 7254335 7785140 7937600 8441408 9731425 10349089 10551760 11323840 11606936 12456224 13189700 14154800 14508670 15570280 15959537 19462850 20698178 21103520 23213872 24912448 26379400 28309600 29017340 31140560 31919074 36271675 38925700 41396356 42207040 46427744 51745445 52758800 56619200 58034680 62281120 63838148 72543350 77851400 79797685 82792712 92855488 103490890 105517600 113839979 116069360 124562240 127676296 145086700 155702800 159595370 165585424 206981780 211035200 227679958 232138720 255352592 258727225 290173400 311405600 319190740 331170848 398988425 413963560 424312649 455359916 464277440 510705184 517454450 569199895 580346800 622811200 638381480 662341696 797976850 827927120 848625298 910719832 1021410368 1034908900 1138399790 1160693600 1252239769 1276762960 1595953700 1655854240 1697250596 1821439664 2069817800 2121563245 2276799580 2321387200 2504479538 2553525920 2845999475 3191907400 3311708480 3394501192 3642879328 4139635600 4243126490 4553599160 4667439139 5008959076 5107051840 5691998950 6261198845 6383814800 6789002384 7285758656 8279271200 8486252980 9107198320 9334878278 10017918152 10607816225 11383997900 12522397690 12767629600 13578004768 16558542400 16972505960 18214396640 18669756556 20035836304 21215632450 22767995800 23337195695 25044795380 25535259200 27156009536 31305994225 33945011920 36428793280 37339513112 40071672608 42431264900 45535991600 46674391390 50089590760 51341830529 62611988450 67890023840 74679026224 80143345216 84862529800 91071983200 93348782780 100179181520 102683661058 116685978475 125223976900 135780047680 149358052448 169725059600 182143966400 186697565560 200358363040 205367322116 233371956950 250447953800 256709152645 298716104896 339450119200 373395131120 400716726080 410734644232 466743913900 500895907600 513418305290 678900238400 746790262240 821469288464 933487827800 1001791815200 1026836610580 1283545763225 1493580524480 1642938576928 1866975655600 2003583630400 2053673221160 2567091526450 3285877153856 3733951311200 4107346442320 5134183052900 7467902622400 8214692884640 10268366105800 16429385769280 20536732211600 41073464423200 82146928846400
- Sum of all divisors σ(n): 227668784433174
- Sum of proper divisors (its aliquot sum) s(n): 145521855586774
- 82146928846400 is an abundant number, because the sum of its proper divisors (145521855586774) is greater than itself. Its abundance is 63374926740374
Bases of 82146928846400
- Binary: 100101010110110010100101000001101100110010000002
- Hexadecimal: 0x4AB652836640
- Base-36: T49S0GPQ8
Squares and roots of 82146928846400
- 82146928846400 squared (821469288464002) is 6748117918895504434792960000
- 82146928846400 cubed (821469288464003) is 554337162530625848881772933635641344000000
-
The
square root of 82146928846400 is 9063494.2956014487 -
The
cube root of 82146928846400 is 43470.7477347479
Scales and comparisons
How big is 82146928846400?- 82,146,928,846,400 seconds is equal to 2,612,018 years, 12 weeks, 3 days, 10 hours, 13 minutes, 20 seconds.
-
To count from 1 to 82,146,928,846,400 would take you about six million, five hundred thirty thousand and forty-five 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 82146928846400 cubic inches would be around 3622.6 feet tall.
Recreational maths with 82146928846400
- 82146928846400 backwards is 00464882964128
- The number of decimal digits it has is: 14
- The sum of 82146928846400's digits is 62
- More coming soon!
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