56834013711313800
56,834,013,711,313,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 56834013711313800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
56834013711313800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 56834013711313800:
23 × 33 × 52 × 132 × 29 × 2147483647
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 29 × 2147483647)See below for interesting mathematical facts about the number 56834013711313800 from the Numbermatics database.
Names of 56834013711313800
- Cardinal: 56834013711313800 can be written as Fifty-six quadrillion, eight hundred thirty-four trillion, thirteen billion, seven hundred eleven million, three hundred thirteen thousand, eight hundred.
Scientific notation
- Scientific notation: 5.68340137113138 × 1016
Factors of 56834013711313800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2147483699
Divisors of 56834013711313800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 29 30 36 39 40 45 50 52 54 58 60 65 72 75 78 87 90 100 104 108 116 117 120 130 135 145 150 156 169 174 180 195 200 216 225 232 234 260 261 270 290 300 312 325 338 348 351 360 377 390 435 450 468 507 520 522 540 580 585 600 650 675 676 696 702 725 754 780 783 845 870 900 936 975 1014 1044 1080 1131 1160 1170 1300 1305 1350 1352 1404 1450 1508 1521 1560 1566 1690 1740 1755 1800 1885 1950 2028 2088 2175 2262 2340 2535 2600 2610 2700 2808 2900 2925 3016 3042 3132 3380 3393 3480 3510 3770 3900 3915 4056 4225 4350 4524 4563 4680 4901 5070 5220 5400 5655 5800 5850 6084 6264 6525 6760 6786 7020 7540 7605 7800 7830 8450 8700 8775 9048 9126 9425 9802 10140 10179 10440 11310 11700 12168 12675 13050 13572 14040 14703 15080 15210 15660 16900 16965 17400 17550 18252 18850 19575 19604 20280 20358 22620 22815 23400 24505 25350 26100 27144 28275 29406 30420 31320 33800 33930 35100 36504 37700 38025 39150 39208 40716 44109 45240 45630 49010 50700 50895 52200 56550 58812 60840 67860 70200 73515 75400 76050 78300 81432 84825 88218 91260 98020 101400 101790 113100 114075 117624 122525 132327 135720 147030 152100 156600 169650 176436 182520 196040 203580 220545 226200 228150 245050 254475 264654 294060 304200 339300 352872 367575 407160 441090 456300 490100 508950 529308 588120 661635 678600 735150 882180 912600 980200 1017900 1058616 1102725 1323270 1470300 1764360 2035800 2205450 2646540 2940600 3308175 4410900 5293080 6616350 8821800 13232700 26465400 2147483647 4294967294 6442450941 8589934588 10737418235 12884901882 17179869176 19327352823 21474836470 25769803764 27917287411 32212254705 38654705646 42949672940 51539607528 53687091175 55834574822 57982058469 62277025763 64424509410 77309411292 83751862233 85899345880 96636764115 107374182350 111669149644 115964116938 124554051526 128849018820 139586437055 154618822584 161061273525 167503724466 186831077289 193273528230 214748364700 223338299288 231928233876 249108103052 251255586699 257698037640 279172874110 289910292345 311385128815 322122547050 335007448932 362924736343 373662154578 386547056460 418759311165 429496729400 463856467752 483183820575 498216206104 502511173398 558345748220 560493231867 579820584690 622770257630 644245094100 670014897864 697932185275 725849472686 747324309156 753766760097 773094112920 809601334919 837518622330 934155386445 966367641150 1005022346796 1088774209029 1116691496440 1120986463734 1159641169380 1245540515260 1256277933495 1288490188200 1395864370550 1449551461725 1451698945372 1494648618312 1507533520194 1556925644075 1619202669838 1675037244660 1681479695601 1814623681715 1868310772890 1932735282300 2010044693592 2093796555825 2177548418058 2241972927468 2319282338760 2428804004757 2491081030520 2512555866990 2791728741100 2802466159335 2899102923450 2903397890744 3015067040388 3113851288150 3238405339676 3266322627087 3350074489320 3362959391202 3629247363430 3736621545780 3768833800485 3865470564600 4048006674595 4187593111650 4355096836116 4483945854936 4670776932225 4857608009514 5025111733980 5443871045145 5583457482200 5604932318670 5798205846900 6030134080776 6227702576300 6281389667475 6476810679352 6532645254174 6725918782404 7258494726860 7286412014271 7473243091560 7537667600970 8096013349190 8375186223300 8407398478005 8710193672232 9073118408575 9341553864450 9715216019028 9798967881261 10050223467960 10524817353947 10887742090290 11209864637340 11596411693800 12144020023785 12455405152600 12562779334950 13065290508348 13451837564808 14012330796675 14516989453720 14572824028542 15075335201940 16192026698380 16331613135435 16750372446600 16814796956010 18146236817150 18683107728900 18844169002425 19430432038056 19597935762522 20240033372975 21049634707894 21775484180580 21859236042813 22419729274680 24288040047570 25125558669900 26130581016696 27219355225725 28024661593350 29145648057084 30150670403880 31574452061841 32384053396760 32663226270870 33629593912020 36292473634300 36432060071355 37366215457800 37688338004850 39195871525044 40480066745950 42036992390025 42099269415788 43550968361160 43718472085626 48576080095140 48994839406305 50251117339800 52624086769735 54438710451450 56049323186700 58291296114168 60720100118925 63148904123682 65326452541740 67259187824040 72584947268600 72864120142710 75376676009700 78391743050088 80960133491900 81658065677175 84073984780050 84198538831576 87436944171252 94723356185523 97152160190280 97989678812610 105248173539470 108877420902900 109296180214065 112098646373400 121440200237850 126297808247364 130652905083480 145728240285420 150753352019400 157872260309205 161920266983800 163316131354350 168147969560100 174873888342504 182160300356775 189446712371046 195979357625220 210496347078940 217754841805800 218592360428130 242880400475700 244974197031525 252595616494728 263120433848675 284170068556569 291456480570840 315744520618410 326632262708700 336295939120200 364320600713550 378893424742092 391958715250440 420992694157880 437184720856260 473616780927615 485760800951400 489948394063050 526240867697350 546480901070325 568340137113138 631489041236820 653264525417400 728641201427100 757786849484184 789361301546025 874369441712520 947233561855230 979896788126100 1052481735394700 1092961802140650 1136680274226276 1262978082473640 1420850342782845 1457282402854200 1578722603092050 1894467123710460 1959793576252200 2104963470789400 2185923604281300 2273360548452552 2368083904638075 2841700685565690 3157445206184100 3788934247420920 4371847208562600 4736167809276150 5683401371131380 6314890412368200 7104251713914225 9472335618552300 11366802742262760 14208503427828450 18944671237104600 28417006855656900 56834013711313800
- Sum of all divisors σ(n): 219288145231872000
- Sum of proper divisors (its aliquot sum) s(n): 162454131520558200
- 56834013711313800 is an abundant number, because the sum of its proper divisors (162454131520558200) is greater than itself. Its abundance is 105620117809244400
Bases of 56834013711313800
- Binary: 110010011110101000111011111111100110110000101011100010002
- Hexadecimal: 0xC9EA3BFE6C2B88
- Base-36: FJLZ5GGYTU0
Squares and roots of 56834013711313800
- 56834013711313800 squared (568340137113138002) is 3230105114537805018526122070440000
- 56834013711313800 cubed (568340137113138003) is 183579838368626442835700193977860164908544072000000
-
The
square root of 56834013711313800 is 238398854.2575525885 -
The
cube root of 56834013711313800 is 384476.1835991619
Scales and comparisons
How big is 56834013711313800?- 56,834,013,711,313,800 seconds is equal to 1,807,145,836 years, 45 weeks, 2 days, 16 hours, 30 minutes.
-
To count from 1 to 56,834,013,711,313,800 would take you about five billion, four hundred twenty-one million, four hundred thirty-seven thousand, five hundred ten 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 56834013711313800 cubic inches would be around 32039.7 feet tall.
Recreational maths with 56834013711313800
- 56834013711313800 backwards is 00831311731043865
- 56834013711313800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 56834013711313800's digits is 54
- More coming soon!
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