130442213836624800
130,442,213,836,624,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130442213836624800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
130442213836624800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 130442213836624800:
25 × 3 × 52 × 11 × 172 × 73 × 234203581
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 17 × 73 × 234203581)See below for interesting mathematical facts about the number 130442213836624800 from the Numbermatics database.
Names of 130442213836624800
- Cardinal: 130442213836624800 can be written as One hundred thirty quadrillion, four hundred forty-two trillion, two hundred thirteen billion, eight hundred thirty-six million, six hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.304422138366248 × 1017
Factors of 130442213836624800
Divisors of 130442213836624800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 66 68 73 75 80 85 88 96 100 102 110 120 132 136 146 150 160 165 170 176 187 200 204 219 220 240 255 264 272 275 289 292 300 330 340 352 365 374 400 408 425 438 440 480 510 528 544 550 561 578 584 600 660 680 730 748 800 803 816 825 850 867 876 880 935 1020 1056 1095 1100 1122 1156 1168 1200 1241 1275 1320 1360 1445 1460 1496 1606 1632 1650 1700 1734 1752 1760 1825 1870 2040 2190 2200 2244 2312 2336 2400 2409 2482 2550 2640 2720 2805 2890 2920 2992 3179 3212 3300 3400 3468 3504 3650 3723 3740 4015 4080 4335 4380 4400 4488 4624 4675 4818 4964 5100 5280 5475 5610 5780 5840 5984 6205 6358 6424 6600 6800 6936 7008 7225 7300 7446 7480 8030 8160 8670 8760 8800 8976 9248 9350 9537 9636 9928 10200 10950 11220 11560 11680 12045 12410 12716 12848 13200 13600 13651 13872 14025 14450 14600 14892 14960 15895 16060 17340 17520 17952 18615 18700 19074 19272 19856 20075 20400 21097 21675 21900 22440 23120 24090 24820 25432 25696 26400 27302 27744 28050 28900 29200 29784 29920 31025 31790 32120 34680 35040 37230 37400 38148 38544 39712 40150 40800 40953 42194 43350 43800 44880 46240 47685 48180 49640 50864 54604 56100 57800 58400 59568 60225 62050 63291 63580 64240 68255 69360 74460 74800 76296 77088 79475 80300 81906 84388 86700 87600 89760 93075 95370 96360 99280 101728 105485 109208 112200 115600 119136 120450 124100 126582 127160 128480 136510 138720 148920 149600 152592 158950 160600 163812 168776 173400 175200 186150 190740 192720 198560 204765 210970 218416 224400 231200 232067 238425 240900 248200 253164 254320 273020 297840 305184 316455 317900 321200 327624 337552 341275 346800 372300 381480 385440 409530 421940 436832 448800 464134 476850 481800 496400 506328 508640 527425 546040 595680 632910 635800 642400 655248 675104 682550 693600 696201 744600 762960 819060 843880 928268 953700 963600 992800 1012656 1023825 1054850 1092080 1160335 1265820 1271600 1310496 1365100 1392402 1489200 1525920 1582275 1638120 1687760 1856536 1907400 1927200 2025312 2047650 2109700 2184160 2320670 2531640 2543200 2730200 2784804 2978400 3164550 3276240 3375520 3481005 3713072 3814800 4095300 4219400 4641340 5063280 5460400 5569608 5801675 6329100 6552480 6962010 7426144 7629600 8190600 8438800 9282680 10126560 10920800 11139216 11603350 12658200 13924020 16381200 16877600 17405025 18565360 22278432 23206700 25316400 27848040 32762400 34810050 37130720 46413400 50632800 55696080 69620100 92826800 111392160 139240200 185653600 234203581 278480400 468407162 556960800 702610743 936814324 1171017905 1405221486 1873628648 2342035810 2576239391 2810442972 3513053715 3747257296 3981460877 4684071620 5152478782 5620885944 5855089525 7026107430 7494514592 7728718173 7962921754 9368143240 10304957564 11241771888 11710179050 11944382631 12881196955 14052214860 15457436346 15925843508 17096861413 17565268575 18736286480 19907304385 20609915128 22483543776 23420358100 23888765262 25762393910 28104429720 30914872692 31851687016 34193722826 35130537150 37472572960 38643590865 39814608770 41219830256 43796069647 46840716200 47777530524 51290584239 51524787820 56208859440 59721913155 61829745384 63703374032 64405984775 67684834909 68387445652 70261074300 77287181730 79629217540 82439660512 85484307065 87592139294 93681432400 95555061048 99536521925 102581168478 103049575640 112417718880 119443826310 123659490768 127406748064 128811969550 131388208941 135369669818 136774891304 140522148600 154574363460 159258435080 170968614130 175184278588 187362864800 188065475543 191110122096 193217954325 199073043850 203054504727 205162336956 206099151280 218980348235 238887652620 247318981536 256452921195 257623939100 262776417882 270739339636 273549782608 281044297200 290646644021 298609565775 309148726920 318516870160 338424174545 341937228260 350368557176 376130951086 382220244192 386435908650 398146087700 406109009454 410324673912 412198302560 427421535325 437960696470 477775305240 512905842390 515247878200 525552835764 541478679272 547099565216 562088594400 564196426629 581293288042 597219131550 618297453840 637033740320 656941044705 676848349090 683874456520 700737114352 744533183999 752261902172 772871817300 796292175400 812218018908 820649347824 854843070650 871939932063 875921392940 940327377715 955550610480 1015272523635 1025811684780 1030495756400 1051105671528 1082957358544 1094901741175 1128392853258 1162586576084 1194438263100 1236594907680 1282264605975 1313882089410 1353696698180 1367748913040 1401474228704 1453233220105 1489066367998 1504523804344 1545743634600 1592584350800 1624436037816 1641298695648 1692120872725 1709686141300 1743879864126 1751842785880 1880654755430 1911101220960 2030545047270 2051623369560 2060991512800 2102211343056 2165914717088 2189803482350 2233599551997 2256785706516 2325173152168 2388876526200 2564529211950 2627764178820 2707393396360 2735497826080 2820982133145 2906466440210 2978132735996 3009047608688 3091487269200 3185168701600 3197113084231 3248872075632 3284705223525 3384241745450 3419372282600 3487759728252 3503685571760 3722665919995 3761309510860 4061090094540 4103246739120 4204422686112 4359699660315 4379606964700 4467199103994 4513571413032 4650346304336 4701636888575 4777753052400 4940992948357 5076362618175 5129058423900 5255528357640 5414786792720 5641964266290 5812932880420 5956265471992 6018095217376 6182974538400 6394226168462 6497744151264 6569410447050 6768483490900 6838744565200 6975519456504 7007371143520 7266166100525 7445331839990 7522619021720 8122180189080 8206493478240 8719399320630 8759213929400 8934398207988 9027142826064 9300692608672 9403273777150 9555506104800 9591339252693 9881985896714 10152725236350 10258116847800 10511056715280 10829573585440 11167997759985 11283928532580 11625865760840 11912530943984 12788452336924 13138820894100 13536966981800 13677489130400 13951038913008 14104910665725 14532332201050 14822978845071 14890663679980 15045238043440 15985565421155 16244360378160 17438798641260 17518427858800 17868796415976 18054285652128 18613329599975 18806547554300 19182678505386 19763971793428 20305450472700 20516233695600 21022113430560 21798498301575 22335995519970 22567857065160 23251731521680 23825061887968 24704964741785 25576904673848 26277641788200 27073933963600 27902077826016 28209821331450 29064664402100 29645957690142 29781327359960 30090476086880 31971130842310 32488720756320 34877597282520 35036855717600 35737592831952 37226659199950 37613095108600 38365357010772 39527943586856 40610900945400 41032467391200 43596996603150 44671991039940 45135714130320 46503463043360 47956696263465 49409929483570 51153809347696 52555283576400 54147867927200 54350922431927 55839988799925 56419642662900 58129328804200 59291915380284 59562654719920 63942261684620 69755194565040 71475185663904 74114894225355 74453318399900 75226190217200 76730714021544 79055887173712 79927827105775 81221801890800 87193993206300 89343982079880 90271428260640 95913392526930 98819858967140 102307618695392 105110567152800 108701844863854 111679977599850 112839285325800 116258657608400 118583830760568 119125309439840 123524823708925 127884523369240 139510389130080 148229788450710 148906636799800 150452380434400 153461428043088 158111774347424 159855654211550 162443603781600 163052767295781 174387986412600 178687964159760 191826785053860 197639717934280 217403689727708 223359955199700 225678570651600 232517315216800 237167661521136 239783481317325 247049647417850 255769046738480 271754612159635 296459576901420 297813273599600 306922856086176 319711308423100 326105534591562 348775972825200 357375928319520 370574471126775 383653570107720 395279435868560 434807379455416 446719910399400 451357141303200 474335323042272 479566962634650 494099294835700 511538093476960 543509224319270 592919153802840 595626547199200 639422616846200 652211069183124 697551945650400 741148942253550 767307140215440 790558871737120 815263836478905 869614758910832 893439820798800 959133925269300 988198589671400 1087018448638540 1185838307605680 1278845233692400 1304422138366248 1358773060798175 1482297884507100 1534614280430880 1630527672957810 1739229517821664 1786879641597600 1918267850538600 1976397179342800 2174036897277080 2371676615211360 2557690467384800 2608844276732496 2717546121596350 2964595769014200 3261055345915620 3836535701077200 3952794358685600 4076319182394525 4348073794554160 5217688553464992 5435092243192700 5929191538028400 6522110691831240 7673071402154400 8152638364789050 8696147589108320 10870184486385400 11858383076056800 13044221383662480 16305276729578100 21740368972770800 26088442767324960 32610553459156200 43480737945541600 65221106918312400 130442213836624800
- Sum of all divisors σ(n): 498777792666519744
- Sum of proper divisors (its aliquot sum) s(n): 368335578829894944
- 130442213836624800 is an abundant number, because the sum of its proper divisors (368335578829894944) is greater than itself. Its abundance is 237893364993270144
Bases of 130442213836624800
- Binary: 1110011110110110010000000100110110111001010010011101000002
- Hexadecimal: 0x1CF6C809B7293A0
- Base-36: ZODWLRS64DC
Squares and roots of 130442213836624800
- 130442213836624800 squared (1304422138366248002) is 17015171150599750425305855975040000
- 130442213836624800 cubed (1304422138366248003) is 2219496593693301883560873134864917057466644992000000
-
The
square root of 130442213836624800 is 361167847.1799847247 -
The
cube root of 130442213836624800 is 507153.4532542479
Scales and comparisons
How big is 130442213836624800?- 130,442,213,836,624,800 seconds is equal to 4,147,658,915 years, 38 weeks, 5 days, 7 hours, 20 minutes.
-
To count from 1 to 130,442,213,836,624,800 would take you about twelve billion, four hundred forty-two million, nine hundred seventy-six thousand, seven hundred forty-seven 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 130442213836624800 cubic inches would be around 42262.8 feet tall.
Recreational maths with 130442213836624800
- 130442213836624800 backwards is 008426638312244031
- The number of decimal digits it has is: 18
- The sum of 130442213836624800's digits is 57
- More coming soon!
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Numbermatics. (2024). Number 130442213836624800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/130442213836624800/
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The information we have on file for 130442213836624800 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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