23131492409468800
23,131,492,409,468,800 is an even composite number composed of seven prime numbers multiplied together.
23131492409468800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 23131492409468800:
27 × 52 × 7 × 17 × 181 × 421 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 181 × 421 × 797161)See below for interesting mathematical facts about the number 23131492409468800 from the Numbermatics database.
Names of 23131492409468800
- Cardinal: 23131492409468800 can be written as Twenty-three quadrillion, one hundred thirty-one trillion, four hundred ninety-two billion, four hundred nine million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.31314924094688 × 1016
Factors of 23131492409468800
Divisors of 23131492409468800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 128 136 140 160 170 175 181 200 224 238 272 280 320 340 350 362 400 421 425 448 476 544 560 595 640 680 700 724 800 842 850 896 905 952 1088 1120 1190 1267 1360 1400 1448 1600 1684 1700 1810 1904 2105 2176 2240 2380 2534 2720 2800 2896 2947 2975 3077 3200 3368 3400 3620 3808 4210 4480 4525 4760 5068 5440 5600 5792 5894 5950 6154 6335 6736 6800 7157 7240 7616 8420 9050 9520 10136 10525 10880 11200 11584 11788 11900 12308 12670 13472 13600 14314 14480 14735 15232 15385 16840 18100 19040 20272 21050 21539 22400 23168 23576 23800 24616 25340 26944 27200 28628 28960 29470 30770 31675 33680 35785 36200 38080 40544 42100 43078 47152 47600 49232 50099 50680 53888 54400 57256 57920 58940 61540 63350 67360 71570 72400 73675 76160 76201 76925 81088 84200 86156 94304 95200 98464 100198 101360 107695 114512 115840 117880 123080 126700 134720 143140 144800 147350 152402 153850 162176 168400 172312 178925 188608 190400 196928 200396 202720 215390 229024 235760 246160 250495 253400 269440 286280 289600 294700 304804 307700 336800 344624 357850 377216 380800 381005 393856 400792 405440 430780 458048 471520 492320 500990 506800 533407 538475 572560 579200 589400 609608 615400 673600 689248 715700 762010 797161 801584 810880 861560 916096 943040 984640 1001980 1013600 1066814 1076950 1145120 1178800 1219216 1230800 1252475 1295417 1347200 1378496 1431400 1524020 1594322 1603168 1723120 1886080 1905025 1969280 2003960 2027200 2133628 2153900 2290240 2357600 2438432 2461600 2504950 2590834 2667035 2756992 2862800 3048040 3188644 3206336 3446240 3810050 3985805 4007920 4054400 4267256 4307800 4580480 4715200 4876864 4923200 5009900 5181668 5334070 5580127 5725600 6096080 6377288 6412672 6477085 6892480 7620100 7971610 8015840 8534512 8615600 9067919 9430400 9753728 9846400 10019800 10363336 10668140 11160254 11451200 12192160 12754576 12954170 13335175 13551737 13784960 15240200 15943220 16031680 17069024 17231200 18135838 19929025 20039600 20726672 21336280 22320508 22902400 24384320 25509152 25908340 26670350 27103474 27900635 30480400 31886440 32063360 32385425 34138048 34462400 36271676 39858050 40079200 41453344 42672560 44641016 45339595 48768640 51018304 51816680 53340700 54206948 55801270 60960800 63772880 64770850 67758685 68276096 68924800 72543352 79716100 80158400 82906688 85345120 89282032 90679190 94862159 102036608 103633360 106681400 108413896 111602540 121921600 127545760 129541700 135517370 139503175 144286141 145086704 159432200 160316800 165813376 170690240 178564064 181358380 189724318 207266720 213362800 216827792 223205080 226697975 243843200 255091520 259083400 271034740 279006350 288572282 290173408 318864400 335604781 338793425 341380480 357128128 362716760 379448636 414533440 426725600 433655584 446410160 453395950 474310795 510183040 518166800 542069480 558012700 577144564 580346816 637728800 671209562 677586850 714256256 721430705 725433520 758897272 829066880 853451200 867311168 892820320 906791900 948621590 1010002987 1036333600 1084138960 1116025400 1154289128 1160693632 1275457600 1342419124 1355173700 1442861410 1450867040 1517794544 1678023905 1706902400 1734622336 1785640640 1813583800 1897243180 2020005974 2072667200 2168277920 2232050800 2308578256 2349233467 2371553975 2452864397 2550915200 2684838248 2710347400 2885722820 2901734080 3035589088 3356047810 3571281280 3607153525 3627167600 3794486360 4040011948 4145334400 4336555840 4464101600 4617156512 4698466934 4743107950 4905728794 5050014935 5369676496 5420694800 5705281277 5771445640 5803468160 6071178176 6712095620 7214307050 7254335200 7588972720 8080023896 8390119525 8673111680 8928203200 9234313024 9396933868 9486215900 9811457588 10100029870 10739352992 10841389600 11410562554 11542891280 11746167335 12142356352 12264321985 13424191240 14428614100 14508670400 15177945440 16160047792 16780239050 17170050779 17856406400 18468626048 18793867736 18972431800 19622915176 20200059740 21478705984 21682779200 22821125108 23085782560 23492334670 24528643970 25250074675 26848382480 28526406385 28857228200 29017340800 30355890880 32320095584 33560478100 34340101558 37587735472 37944863600 39245830352 39936968939 40400119480 42957411968 43365558400 45642250216 46171565120 46984669340 49057287940 50500149350 53696764960 57052812770 57714456400 58730836675 60711781760 60744465361 61321609925 64640191168 67120956200 68680203116 75175470944 75889727200 78491660704 79873937878 80800238960 85850253895 91284500432 92343130240 93969338680 98114575880 101000298700 107393529920 114105625540 115428912800 117461673350 121488930722 122643219850 129280382336 134241912400 137360406232 142632031925 150350941888 151779454400 156983321408 159747875756 161600477920 171700507790 182569000864 187938677360 196229151760 199684844695 202000597400 214787059840 228211251080 230857825600 234923346700 242977861444 245286439700 268483824800 274720812464 285264063850 300701883776 303558908800 303722326805 313966642816 319495751512 323200955840 343401015580 365138001728 375877354720 392458303520 399369689390 404001194800 425211257527 429251269475 456422502160 461715651200 469846693400 485955722888 490572879400 536967649600 549441624928 570528127700 607444653610 638991503024 646401911680 686802031160 730276003456 751754709440 784916607040 798739378780 808002389600 850422515054 858502538950 912845004320 939693386800 971911445776 981145758800 998424223475 1032655911137 1073935299200 1098883249856 1141056255400 1214889307220 1277983006048 1373604062320 1503509418880 1518611634025 1569833214080 1597478757560 1616004779200 1700845030108 1717005077900 1825690008640 1879386773600 1943822891552 1962291517600 1996848446950 2065311822274 2126056287635 2197766499712 2282112510800 2429778614440 2555966012096 2747208124640 3037223268050 3194957515120 3232009558400 3401690060216 3434010155800 3651380017280 3758773547200 3887645783104 3924583035200 3993696893900 4130623644548 4252112575270 4564225021600 4859557228880 5111932024192 5163279555685 5494416249280 6074446536100 6389915030240 6803380120432 6868020311600 7228591377959 7517547094400 7775291566208 7849166070400 7987393787800 8261247289096 8504225150540 9128450043200 9719114457760 10326559111370 10630281438175 10988832498560 12148893072200 12779830060480 13606760240864 13736040623200 14457182755918 15974787575600 16522494578192 17008450301080 18256900086400 19438228915520 20653118222740 21260562876350 24297786144400 25559660120960 25816397778425 27213520481728 27472081246400 28914365511836 31949575151200 33044989156384 34016900602160 36142956889795 38876457831040 41306236445480 42521125752700 48595572288800 51632795556850 54427040963456 54944162492800 57828731023672 63899150302400 66089978312768 68033801204320 72285913779590 82612472890960 85042251505400 97191144577600 103265591113700 115657462047344 127798300604800 132179956625536 136067602408640 144571827559180 165224945781920 170084503010800 180714784448975 194382289155200 206531182227400 231314924094688 272135204817280 289143655118360 330449891563840 340169006021600 361429568897950 413062364454800 462629848189376 578287310236720 660899783127680 680338012043200 722859137795900 826124728909600 925259696378752 1156574620473440 1360676024086400 1445718275591800 1652249457819200 2313149240946880 2891436551183600 3304498915638400 4626298481893760 5782873102367200 11565746204734400 23131492409468800
- Sum of all divisors σ(n): 69693904095903360
- Sum of proper divisors (its aliquot sum) s(n): 46562411686434560
- 23131492409468800 is an abundant number, because the sum of its proper divisors (46562411686434560) is greater than itself. Its abundance is 23430919276965760
Bases of 23131492409468800
- Binary: 10100100010110111111000010001000011000011100111100000002
- Hexadecimal: 0x522DF84430E780
- Base-36: 6BRFGWV5U9S
Squares and roots of 23131492409468800
- 23131492409468800 squared (231314924094688002) is 535065941089312710563898173440000
- 23131492409468800 cubed (231314924094688003) is 12376873754872717068618694507088680880668672000000
-
The
square root of 23131492409468800 is 152090408.6702011595 -
The
cube root of 23131492409468800 is 284927.6205219391
Scales and comparisons
How big is 23131492409468800?- 23,131,492,409,468,800 seconds is equal to 735,509,908 years, 11 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 23,131,492,409,468,800 would take you about two billion, two hundred six million, five hundred twenty-nine thousand, seven hundred twenty-four 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 23131492409468800 cubic inches would be around 23744 feet tall.
Recreational maths with 23131492409468800
- 23131492409468800 backwards is 00886490429413132
- 23131492409468800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 23131492409468800's digits is 64
- More coming soon!
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The information we have on file for 23131492409468800 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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