132838233504955200
132,838,233,504,955,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 132838233504955200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 840 divisors.
132838233504955200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 132838233504955200:
26 × 34 × 52 × 17 × 335453 × 179737
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 335453 × 179737)See below for interesting mathematical facts about the number 132838233504955200 from the Numbermatics database.
Names of 132838233504955200
- Cardinal: 132838233504955200 can be written as One hundred thirty-two quadrillion, eight hundred thirty-eight trillion, two hundred thirty-three billion, five hundred four million, nine hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.328382335049552 × 1017
Factors of 132838233504955200
Divisors of 132838233504955200
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 255 270 272 288 300 306 320 324 340 360 400 405 408 425 432 450 459 480 510 540 544 576 600 612 648 675 680 720 765 800 810 816 850 864 900 918 960 1020 1080 1088 1200 1224 1275 1296 1350 1360 1377 1440 1530 1600 1620 1632 1700 1728 1800 1836 2025 2040 2160 2295 2400 2448 2550 2592 2700 2720 2754 2880 3060 3240 3264 3400 3600 3672 3825 4050 4080 4320 4590 4800 4896 5100 5184 5400 5440 5508 6120 6480 6800 6885 7200 7344 7650 8100 8160 8640 9180 9792 10200 10800 11016 11475 12240 12960 13600 13770 14400 14688 15300 16200 16320 18360 20400 21600 22032 22950 24480 25920 27200 27540 29376 30600 32400 34425 36720 40800 43200 44064 45900 48960 55080 61200 64800 68850 73440 81600 88128 91800 110160 122400 129600 137700 146880 179737 183600 220320 244800 275400 335453 359474 367200 440640 539211 550800 670906 718948 734400 898685 1006359 1078422 1101600 1341812 1437896 1617633 1677265 1797370 2012718 2156844 2203200 2683624 2696055 2875792 3019077 3055529 3235266 3354530 3594740 4025436 4313688 4493425 4852899 5031795 5367248 5392110 5702701 5751584 6038154 6111058 6470532 6709060 7189480 8050872 8088165 8386325 8627376 8986850 9057231 9166587 9705798 10063590 10734496 10784220 11405402 11503168 12076308 12222116 12941064 13418120 13480275 14378960 14558697 15095385 15277645 16101744 16176330 16772650 17108103 17254752 17973700 18114462 18333174 19411596 20127180 21468992 21568440 22810804 24152616 24264495 24444232 25158975 25882128 26836240 26960550 27171693 27499761 28513505 28757920 29117394 30190770 30555290 32203488 32352660 33545300 34216206 34509504 35947400 36228924 36666348 38823192 40254360 40440825 43136880 45286155 45621608 45832935 48305232 48528990 48888464 50317950 51324309 51764256 53672480 53921100 54343386 54999522 57027010 57515840 58234788 60381540 61110580 64406976 64705320 67090600 68432412 71894800 72457848 72793485 73332696 75476925 76388225 77646384 80508720 80881650 82499283 85540515 86273760 90572310 91243216 91665870 96610464 97057980 97776928 100635900 102648618 103528512 107344960 107842200 108686772 109999044 114054020 116469576 120763080 121322475 122221160 129410640 134181200 135858465 136864824 137498805 142567525 143789600 144915696 145586970 146665392 150953850 152776450 153972927 155292768 161017440 161763300 164998566 171081030 172547520 181144620 182486432 183331740 193220928 194115960 195553856 201271800 205297236 215684400 217373544 219998088 226430775 228108040 229164675 232939152 241526160 242644950 244442320 247497849 256621545 258821280 268362400 271716930 273729648 274997610 285135050 287579200 289831392 291173940 293330784 301907700 305552900 307945854 310585536 322034880 323526600 329997132 342162060 362289240 363967425 364972864 366663480 388231920 402543600 410594472 412496415 427702575 431368800 434747088 439996176 452861550 456216080 458329350 461918781 465878304 483052320 485289900 488884640 494995698 513243090 517642560 536724800 543433860 547459296 549995220 570270100 579662784 582347880 586661568 603815400 611105800 615891708 647053200 659994264 679292325 684324120 687494025 724578480 727934850 733326960 769864635 776463840 805087200 821188944 824992830 855405150 862737600 869494176 879992352 905723100 912432160 916658700 923837562 931756608 966104640 970579800 977769280 989991396 1026486180 1086867720 1094918592 1099990440 1140540200 1164695760 1207630800 1222211600 1231783416 1237489245 1283107725 1294106400 1319988528 1358584650 1368648240 1374988050 1449156960 1455869700 1466653920 1539729270 1552927680 1610174400 1642377888 1649985660 1710810300 1738988352 1759984704 1811446200 1824864320 1833317400 1847675124 1941159600 1979982792 2052972360 2062482075 2173735440 2199980880 2281080400 2309593905 2329391520 2415261600 2444423200 2463566832 2474978490 2566215450 2588212800 2639977056 2717169300 2737296480 2749976100 2898313920 2911739400 2933307840 3079458540 3284755776 3299971320 3421620600 3622892400 3666634800 3695350248 3849323175 3882319200 3959965584 4105944720 4124964150 4347470880 4399961760 4562160800 4619187810 4658783040 4830523200 4888846400 4927133664 4949956980 5132430900 5279954112 5434338600 5474592960 5499952200 5823478800 6158917080 6187446225 6599942640 6843241200 7245784800 7333269600 7390700496 7698646350 7764638400 7919931168 8211889440 8249928300 8694941760 8799923520 9124321600 9238375620 9854267328 9899913960 10264861800 10868677200 10999904400 11547969525 11646957600 12317834160 12374892450 13199885280 13686482400 14491569600 14666539200 14781400992 15397292700 15839862336 16423778880 16499856600 18476751240 19799827920 20529723600 21737354400 21999808800 23095939050 23293915200 24635668320 24749784900 26399770560 27372964800 29562801984 30794585400 32999713200 36953502480 39599655840 41059447200 43474708800 43999617600 46191878100 49271336640 49499569800 60293315861 61589170800 65999426400 73907004960 79199311680 82118894400 92383756200 98999139600 120586631722 123178341600 131998852800 147814009920 180879947583 184767512400 197998279200 241173263444 246356683200 301466579305 361759895166 369535024800 395996558400 482346526888 542639842749 602933158610 723519790332 739070049600 904399737915 964693053776 1024986369637 1085279685498 1205866317220 1447039580664 1507332896525 1627919528247 1808799475830 1929386107552 2049972739274 2170559370996 2411732634440 2713199213745 2894079161328 3014665793050 3074959108911 3255839056494 3617598951660 3858772215104 4099945478548 4341118741992 4521998689575 4823465268880 4883758584741 5124931848185 5426398427490 5788158322656 6029331586100 6149918217822 6511678112988 7235197903320 8139597641235 8199890957096 8682237483984 9043997379150 9224877326733 9646930537760 9767517169482 10249863696370 10852796854980 11576316645312 12058663172200 12299836435644 13023356225976 13565996068725 14470395806640 15374795544555 16279195282470 16399781914192 17364474967968 18087994758300 18449754653466 19293861075520 19535034338964 20499727392740 21705593709960 24117326344400 24418792923705 24599672871288 25624659240925 26046712451952 27131992137450 27674631980199 28940791613280 30749591089110 32558390564940 32799563828384 34728949935936 36175989516600 36899509306932 39070068677928 40697988206175 40999454785480 43411187419920 46124386633665 48234652688800 48837585847410 49199345742576 51249318481850 52093424903904 54263984274900 55349263960398 57881583226560 61499182178220 65116781129880 65599127656768 72351979033200 73799018613864 76873977722775 78140137355856 81395976412350 81998909570960 83023895940597 86822374839840 92248773267330 96469305377600 97675171694820 98398691485152 102498636963700 104186849807808 108527968549800 110698527920796 122093964618525 122998364356440 130233562259760 138373159900995 144703958066400 147598037227728 153747955445550 156280274711712 162791952824700 163997819141920 166047791881194 173644749679680 184497546534660 195350343389640 196797382970304 204997273927400 217055937099600 221397055841592 230621933168325 244187929237050 245996728712880 260467124519520 276746319801990 289407916132800 295196074455456 307495910891100 312560549423424 325583905649400 327995638283840 332095583762388 368995093069320 390700686779280 409994547854800 415119479702985 434111874199200 442794111683184 461243866336650 488375858474100 491993457425760 520934249039040 553492639603980 590392148910912 614991821782200 651167811298800 664191167524776 691865799504975 737990186138640 781401373558560 819989095709600 830238959405970 868223748398400 885588223366368 922487732673300 976751716948200 983986914851520 1106985279207960 1229983643564400 1302335622597600 1328382335049552 1383731599009950 1475980372277280 1562802747117120 1639978191419200 1660477918811940 1771176446732736 1844975465346600 1953503433896400 2075597398514925 2213970558415920 2459967287128800 2604671245195200 2656764670099104 2767463198019900 2951960744554560 3320955837623880 3689950930693200 3907006867792800 4151194797029850 4427941116831840 4919934574257600 5313529340198208 5534926396039800 6641911675247760 7379901861386400 7814013735585600 8302389594059700 8855882233663680 11069852792079600 13283823350495520 14759803722772800 16604779188119400 22139705584159200 26567646700991040 33209558376238800 44279411168318400 66419116752477600 132838233504955200
- Sum of all divisors σ(n): 517006698391054872
- Sum of proper divisors (its aliquot sum) s(n): 384168464886099672
- 132838233504955200 is an abundant number, because the sum of its proper divisors (384168464886099672) is greater than itself. Its abundance is 251330231381144472
Bases of 132838233504955200
- Binary: 1110101111110111110101011011010001010011100111011010000002
- Hexadecimal: 0x1D7EFAB68A73B40
- Base-36: 10BZ820FAS00
Squares and roots of 132838233504955200
- 132838233504955200 squared (1328382335049552002) is 17645996280717002279302954007040000
- 132838233504955200 cubed (1328382335049552003) is 2344062974365456136968286911321342161535684608000000
-
The
square root of 132838233504955200 is 364469797.7953114293 -
The
cube root of 132838233504955200 is 510239.8378600469
Scales and comparisons
How big is 132838233504955200?- 132,838,233,504,955,200 seconds is equal to 4,223,844,929 years, 42 weeks, 5 days, 12 hours.
-
To count from 1 to 132,838,233,504,955,200 would take you about twelve billion, six hundred seventy-one million, five hundred thirty-four thousand, seven hundred eighty-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 132838233504955200 cubic inches would be around 42520 feet tall.
Recreational maths with 132838233504955200
- 132838233504955200 backwards is 002559405332838231
- The number of decimal digits it has is: 18
- The sum of 132838233504955200's digits is 63
- More coming soon!
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"Number 132838233504955200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 132838233504955200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/132838233504955200/
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The information we have on file for 132838233504955200 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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