56801648677956174720
56,801,648,677,956,174,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 56801648677956174720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
56801648677956174720 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 56801648677956174720:
27 × 32 × 5 × 72 × 13 × 15481000533631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 15481000533631)See below for interesting mathematical facts about the number 56801648677956174720 from the Numbermatics database.
Names of 56801648677956174720
- Cardinal: 56801648677956174720 can be written as Fifty-six quintillion, eight hundred one quadrillion, six hundred forty-eight trillion, six hundred seventy-seven billion, nine hundred fifty-six million, one hundred seventy-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 5.680164867795617472 × 1019
Factors of 56801648677956174720
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 15481000533661
Divisors of 56801648677956174720
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 128 130 140 144 147 156 160 168 180 182 192 195 196 208 210 224 234 240 245 252 260 273 280 288 294 312 315 320 336 360 364 384 390 392 416 420 441 448 455 468 480 490 504 520 546 560 576 585 588 624 630 637 640 672 720 728 735 780 784 819 832 840 882 896 910 936 960 980 1008 1040 1092 1120 1152 1170 1176 1248 1260 1274 1344 1365 1440 1456 1470 1560 1568 1638 1664 1680 1764 1820 1872 1911 1920 1960 2016 2080 2184 2205 2240 2340 2352 2496 2520 2548 2688 2730 2880 2912 2940 3120 3136 3185 3276 3360 3528 3640 3744 3822 3920 4032 4095 4160 4368 4410 4480 4680 4704 4992 5040 5096 5460 5733 5760 5824 5880 6240 6272 6370 6552 6720 7056 7280 7488 7644 7840 8064 8190 8320 8736 8820 9360 9408 9555 10080 10192 10920 11466 11648 11760 12480 12740 13104 13440 14112 14560 14976 15288 15680 16380 17472 17640 18720 18816 19110 20160 20384 21840 22932 23520 24960 25480 26208 28224 28665 29120 30576 31360 32760 34944 35280 37440 38220 40320 40768 43680 45864 47040 50960 52416 56448 57330 58240 61152 65520 70560 74880 76440 81536 87360 91728 94080 101920 104832 114660 122304 131040 141120 152880 174720 183456 203840 229320 244608 262080 282240 305760 366912 407680 458640 524160 611520 733824 917280 1223040 1834560 3669120 15481000533631 30962001067262 46443001600893 61924002134524 77405002668155 92886003201786 108367003735417 123848004269048 139329004802679 154810005336310 185772006403572 201253006937203 216734007470834 232215008004465 247696008538096 278658009605358 309620010672620 325101011206251 371544012807144 402506013874406 433468014941668 464430016008930 495392017076192 541835018677085 557316019210716 603759020811609 619240021345240 650202022412502 696645024013395 743088025614288 758569026147919 805012027748812 866936029883336 928860032017860 975303033618753 990784034152384 1006265034686015 1083670037354170 1114632038421432 1207518041623218 1238480042690480 1300404044825004 1393290048026790 1408771048560421 1486176051228576 1517138052295838 1610024055497624 1625505056031255 1733872059766672 1811277062434827 1857720064035720 1950606067237506 1981568068304768 2012530069372030 2167340074708340 2229264076842864 2275707078443757 2415036083246436 2476960085380960 2600808089650008 2786580096053580 2817542097120842 2972352102457152 3018795104058045 3034276104591676 3220048110995248 3251010112062510 3467744119533344 3622554124869654 3715440128071440 3792845130739595 3901212134475012 4025060138744060 4226313145681263 4334680149416680 4458528153685728 4551414156887514 4830072166492872 4876515168093765 4953920170761920 5201616179300016 5573160192107160 5635084194241684 5944704204914304 6037590208116090 6068552209183352 6440096221990496 6502020224125020 6827121235331271 6935488239066688 7043855242802105 7245108249739308 7430880256142880 7585690261479190 7802424268950024 8050120277488120 8452626291362526 8669360298833360 8917056307371456 9056385312174135 9102828313775028 9660144332985744 9753030336187530 9861397339922947 9907840341523840 10403232358600032 11146320384214320 11270168388483368 11378535392218785 12075180416232180 12137104418366704 12678939437043789 12880192443980992 13004040448250040 13654242470662542 13870976478133376 14087710485604210 14490216499478616 14861760512285760 15171380522958380 15604848537900048 16100240554976240 16905252582725052 17338720597666720 17834112614742912 18112770624348270 18205656627550056 19320288665971488 19506060672375060 19722794679845894 20806464717200064 21131565728406315 22292640768428640 22540336776966736 22757070784437570 24150360832464360 24274208836733408 25357878874087578 25760384887961984 26008080896500080 27308484941325084 28175420971208420 28980432998957232 29584192019768841 29723521024571520 30342761045916760 31209697075800096 32200481109952480 33810505165450104 34135606176656355 34677441195333440 36225541248696540 36411313255100112 38640577331942976 39012121344750120 39445589359691788 41612929434400128 42263131456812630 44585281536857280 45080673553933472 45514141568875140 48300721664928720 48548417673466816 49306986699614735 50715757748175156 52016161793000160 54616969882650168 56350841942416840 57960865997914464 59168384039537682 60685522091833520 62419394151600192 63394697185218945 64400962219904960 67621010330900208 68271212353312710 69354882390666880 72451082497393080 72822626510200224 77281154663885952 78024242689500240 78891178719383576 84526262913625260 88752576059306523 89170563073714560 90161347107866944 91028283137750280 96601443329857440 97096835346933632 98613973399229470 101431515496350312 104032323586000320 109233939765300336 112701683884833680 115921731995828928 118336768079075364 121371044183667040 124838788303200384 126789394370437890 128801924439809920 135242020661800416 136542424706625420 144902164994786160 145645253020400448 147920960098844205 156048485379000480 157782357438767152 169052525827250520 177505152118613046 180322694215733888 182056566275500560 193202886659714880 197227946798458940 202863030992700624 208064647172000640 218467879530600672 225403367769667360 231843463991657856 236673536158150728 242742088367334080 253578788740875780 270484041323600832 273084849413250840 289804329989572320 291290506040800896 295841920197688410 312096970758000960 315564714877534304 338105051654501040 355010304237226092 364113132551001120 386405773319429760 394455893596917880 405726061985401248 436935759061201344 443762880296532615 450806735539334720 473347072316301456 485484176734668160 507157577481751560 540968082647201664 546169698826501680 579608659979144640 591683840395376820 624193941516001920 631129429755068608 676210103309002080 710020608474452184 728226265102002240 788911787193835760 811452123970802496 873871518122402688 887525760593065230 901613471078669440 946694144632602912 1014315154963503120 1092339397653003360 1159217319958289280 1183367680790753640 1262258859510137216 1352420206618004160 1420041216948904368 1456452530204004480 1577823574387671520 1622904247941604992 1775051521186130460 1893388289265205824 2028630309927006240 2184678795306006720 2366735361581507280 2704840413236008320 2840082433897808736 3155647148775343040 3550103042372260920 3786776578530411648 4057260619854012480 4369357590612013440 4733470723163014560 5680164867795617472 6311294297550686080 7100206084744521840 8114521239708024960 9466941446326029120 11360329735591234944 14200412169489043680 18933882892652058240 28400824338978087360 56801648677956174720
- Sum of all divisors σ(n): 245717846289924503040
- Sum of proper divisors (its aliquot sum) s(n): 188916197611968328320
- 56801648677956174720 is an abundant number, because the sum of its proper divisors (188916197611968328320) is greater than itself. Its abundance is 132114548934012153600
Bases of 56801648677956174720
- Binary: 1100010100010001111111111010000110010010100001110101000011100000002
- Hexadecimal: 0x31447FE864A1D4380
- Base-36: BZJVRZIGYQCG0
Squares and roots of 56801648677956174720
- 56801648677956174720 squared (568016486779561747202) is 3226427292533960451368451960975167078400
- 56801648677956174720 cubed (568016486779561747203) is 183266389555483354863082169893741457879272196584942338048000
-
The
square root of 56801648677956174720 is 7536686850.1985787839 -
The
cube root of 56801648677956174720 is 3844031.8771454997
Scales and comparisons
How big is 56801648677956174720?- 56,801,648,677,956,174,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 56,801,648,677,956,174,720 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 56801648677956174720 cubic inches would be around 320336 feet tall.
Recreational maths with 56801648677956174720
- 56801648677956174720 backwards is 02747165977684610865
- The number of decimal digits it has is: 20
- The sum of 56801648677956174720's digits is 99
- More coming soon!
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"Number 56801648677956174720 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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The information we have on file for 56801648677956174720 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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