132248256508800
132,248,256,508,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132248256508800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
132248256508800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 132248256508800:
27 × 34 × 52 × 17 × 292 × 127 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 29 × 127 × 281)See below for interesting mathematical facts about the number 132248256508800 from the Numbermatics database.
Names of 132248256508800
- Cardinal: 132248256508800 can be written as One hundred thirty-two trillion, two hundred forty-eight billion, two hundred fifty-six million, five hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.322482565088 × 1014
Factors of 132248256508800
Divisors of 132248256508800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 64 68 72 75 80 81 85 87 90 96 100 102 108 116 120 127 128 135 136 144 145 150 153 160 162 170 174 180 192 200 204 216 225 232 240 254 255 261 270 272 281 288 290 300 306 320 324 340 348 360 381 384 400 405 408 425 432 435 450 459 464 480 493 508 510 522 540 544 562 576 580 600 612 635 640 648 675 680 696 720 725 762 765 783 800 810 816 841 843 850 864 870 900 918 928 960 986 1016 1020 1044 1080 1088 1124 1143 1152 1160 1200 1224 1270 1275 1296 1305 1350 1360 1377 1392 1405 1440 1450 1479 1524 1530 1566 1600 1620 1632 1682 1686 1700 1728 1740 1800 1836 1856 1905 1920 1972 2025 2032 2040 2088 2159 2160 2175 2176 2248 2286 2295 2320 2349 2400 2448 2465 2523 2529 2540 2550 2592 2610 2700 2720 2754 2784 2810 2880 2900 2958 3048 3060 3132 3175 3200 3240 3264 3364 3372 3400 3429 3456 3480 3600 3672 3683 3712 3810 3825 3915 3944 4050 4064 4080 4176 4205 4215 4318 4320 4350 4437 4496 4572 4590 4640 4698 4777 4800 4896 4930 5046 5058 5080 5100 5184 5220 5400 5440 5508 5568 5620 5715 5760 5800 5916 6096 6120 6264 6350 6477 6480 6525 6528 6728 6744 6800 6858 6885 6960 7025 7200 7344 7366 7395 7569 7587 7620 7650 7830 7888 8100 8128 8149 8160 8352 8410 8430 8636 8640 8700 8874 8992 9144 9180 9280 9396 9525 9554 9600 9792 9860 10092 10116 10160 10200 10287 10368 10440 10795 10800 10880 11016 11049 11136 11240 11430 11475 11600 11745 11832 12192 12240 12325 12528 12615 12645 12700 12954 12960 13050 13311 13456 13488 13600 13716 13770 13920 14050 14297 14331 14400 14688 14732 14790 15138 15174 15240 15300 15660 15776 16200 16256 16298 16320 16704 16820 16860 17145 17272 17280 17400 17748 17984 18288 18360 18415 18560 18792 19050 19108 19431 19575 19584 19720 20184 20232 20320 20400 20574 20880 21025 21075 21590 21600 22032 22098 22185 22480 22707 22761 22860 22950 23200 23490 23664 23885 24384 24447 24480 24650 25056 25230 25290 25400 25908 25920 26100 26622 26912 26976 27200 27432 27540 27840 28100 28575 28594 28662 28800 29376 29464 29580 30276 30348 30480 30600 31320 31552 32385 32400 32596 32640 33147 33408 33640 33720 34290 34425 34544 34800 35496 35687 35968 36576 36720 36830 36975 37584 37845 37935 38100 38216 38862 39150 39440 39933 40368 40464 40640 40745 40800 41148 41760 42050 42150 42891 42993 43180 43200 44064 44196 44370 44960 45414 45522 45720 45900 46400 46980 47328 47770 48768 48894 48960 49300 50112 50460 50580 50800 51435 51816 51840 52200 53244 53824 53952 53975 54400 54864 55080 55245 55680 56200 57150 57188 57324 58293 58725 58752 58928 59160 60552 60696 60960 61200 62611 62640 63075 63104 63225 64770 64800 65192 66294 66555 67280 67440 68121 68580 68850 69088 69600 70992 71374 71485 71655 73152 73341 73440 73660 73950 75168 75690 75870 76200 76432 77724 78300 78880 79866 80736 80928 81280 81490 81600 82296 83520 84100 84300 85725 85782 85986 86360 86400 88128 88392 88740 89920 90828 91044 91440 91800 92075 92800 93960 94656 95540 97155 97788 97920 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6427931200 6482757672 6508280340 6536588400 6552133200 6706301040 6752872575 6755977344 6806044800 6921093600 6942165696 7037476400 7125444855 7181550720 7203064080 7231422600 7353661950 7451445600 7600474512 7653255585 7656800400 7713517440 7843906080 7862559840 7917160950 8103447090 8114385600 8135350425 8163472624 8382876300 8444971680 8643676896 8677707120 8715451200 8736177600 8941734720 8976938400 9003830100 9183906702 9228124800 9250070400 9412687296 9500593140 9604085440 9641896800 9724136508 9804882600 9828199800 9935260800 10133966016 10204340780 10209067200 10413248544 10458541440 10483413120 10556214600 10730081664 10804596120 10847133900 11177168400 11259962240 11400711768 11524902528 11570276160 11765859120 11875741425 11969251200 12005106800 12155170635 12245208936 12250880640 12667457520 12755425975 12855862400 12965515344 13016560680 13073176800 13104266400 13412602080 13505745150 13775860053 13842187200 13884331392 14074952800 14250889710 14406128160 14462845200 14707323900 14902891200 15200949024 15306511170 15313600800 15687812160 15725119680 15834321900 16206894180 16228771200 16270700850 16326945248 16765752600 16889943360 17287353792 17355414240 17430902400 17472355200 17883469440 17953876800 18007660200 18367813404 18825374592 19001186280 19208170880 19283793600 19448273016 19609765200 19656399600 20258617725 20267932032 20408681560 20418134400 20826497088 21112429200 21609192240 21694267800 22354336800 22801423536 22959766755 23140552320 23531718240 23751482850 24010213600 24310341270 24490417872 25334915040 25510851950 25931030688 26033121360 26146353600 26208532800 26825204160 27011490300 27551720106 27684374400 28149905600 28501779420 28812256320 28925690400 29414647800 29805782400 30401898048 30613022340 30627201600 31375624320 31450239360 31668643800 32413788360 32541401700 32653890496 33531505200 33779886720 34574707584 34710828480 35627224275 35907753600 36015320400 36735626808 38002372560 38266277925 38567587200 38896546032 39219530400 39312799200 40517235450 40817363120 41327580159 41652994176 42224858400 43218384480 43388535600 44708673600 45602847072 45919533510 47063436480 47502965700 48020427200 48620682540 48980835744 50669830080 51021703900 51862061376 52066242720 52292707200 52417065600 53650408320 54022980600 55103440212 56299811200 57003558840 57624512640 57851380800 58829295600 60775853175 60803796096 61226044680 61254403200 63337287600 64827576720 65082803400 65307780992 67063010400 68879300265 69421656960 71254448550 72030640800 73471253616 76004745120 76532555850 77793092064 78439060800 78625598400 81034470900 81634726240 82655160318 84449716800 86436768960 86777071200 89417347200 91205694144 91839067020 94126872960 95005931400 96040854400 97241365080 97961671488 101339660160 102043407800 103724122752 104132485440 108045961200 110206880424 114007117680 114798833775 115702761600 117658591200 121551706350 122452089360 126674575200 129655153440 130165606800 134126020800 137758600530 142508897100 144061281600 146942507232 152009490240 153065111700 155586184128 156878121600 157251196800 162068941800 163269452480 165310320636 168899433600 172873537920 173554142400 182411388288 183678134040 190011862800 194482730160 195923342976 204086815600 206637900795 208264970880 216091922400 220413760848 228014235360 229597667550 235317182400 243103412700 244904178720 253349150400 259310306880 260331213600 268252041600 275517201060 285017794200 288122563200 293885014464 304018980480 306130223400 311172368256 324137883600 326538904960 330620641272 344396501325 347108284800 367356268080 380023725600 388965460320 408173631200 413275801590 432183844800 440827521696 456028470720 459195335100 470634364800 486206825400 489808357440 506698300800 518620613760 520662427200 551034402120 570035588400 587770028928 612260446800 648275767200 661241282544 688793002650 734712536160 760047451200 777930920640 816347262400 826551603180 864367689600 881655043392 912056941440 918390670200 972413650800 979616714880 1033189503975 1041324854400 1102068804240 1140071176800 1224520893600 1296551534400 1322482565088 1377586005300 1469425072320 1520094902400 1555861841280 1632694524800 1653103206360 1763310086784 1836781340400 1944827301600 2066379007950 2204137608480 2280142353600 2449041787200 2593103068800 2644965130176 2755172010600 2938850144640 3306206412720 3673562680800 3889654603200 4132758015900 4408275216960 4560284707200 4898083574400 5289930260352 5510344021200 6612412825440 7347125361600 7779309206400 8265516031800 8816550433920 11020688042400 13224825650880 14694250723200 16531032063600 22041376084800 26449651301760 33062064127200 44082752169600 66124128254400 132248256508800
- Sum of all divisors σ(n): 541298698237440
- Sum of proper divisors (its aliquot sum) s(n): 409050441728640
- 132248256508800 is an abundant number, because the sum of its proper divisors (409050441728640) is greater than itself. Its abundance is 276802185219840
Bases of 132248256508800
- Binary: 111100001000111011100100101100111110011100000002
- Hexadecimal: 0x78477259F380
- Base-36: 1AVM0DDK00
Squares and roots of 132248256508800
- 132248256508800 squared (1322482565088002) is 17489601349617361564477440000
- 132248256508800 cubed (1322482565088003) is 2312969285520851500908886555350761472000000
-
The
square root of 132248256508800 is 11499924.1957849443 -
The
cube root of 132248256508800 is 50948.3337470535
Scales and comparisons
How big is 132248256508800?- 132,248,256,508,800 seconds is equal to 4,205,085 years, 25 weeks, 2 days.
-
To count from 1 to 132,248,256,508,800 would take you about ten million, five hundred twelve thousand, seven hundred thirteen 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 132248256508800 cubic inches would be around 4245.7 feet tall.
Recreational maths with 132248256508800
- 132248256508800 backwards is 008805652842231
- 132248256508800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132248256508800's digits is 54
- More coming soon!
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MLA style:
"Number 132248256508800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 132248256508800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/132248256508800/
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Numbermatics. 2024. "Number 132248256508800 - Facts about the integer". https://numbermatics.com/n/132248256508800/
The information we have on file for 132248256508800 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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