132380312450400
132,380,312,450,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 132380312450400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
132380312450400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 132380312450400:
25 × 33 × 52 × 74 × 792 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 79 × 79 × 409)See below for interesting mathematical facts about the number 132380312450400 from the Numbermatics database.
Names of 132380312450400
- Cardinal: 132380312450400 can be written as One hundred thirty-two trillion, three hundred eighty billion, three hundred twelve million, four hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.323803124504 × 1014
Factors of 132380312450400
Divisors of 132380312450400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 79 80 84 90 96 98 100 105 108 112 120 126 135 140 144 147 150 158 160 168 175 180 189 196 200 210 216 224 225 237 240 245 252 270 280 288 294 300 315 316 336 343 350 360 378 392 395 400 409 420 432 441 450 474 480 490 504 525 540 553 560 588 600 630 632 672 675 686 700 711 720 735 756 784 790 800 818 840 864 882 900 945 948 980 1008 1029 1050 1080 1106 1120 1176 1185 1200 1225 1227 1260 1264 1323 1350 1372 1400 1422 1440 1470 1512 1568 1575 1580 1636 1659 1680 1715 1764 1800 1890 1896 1960 1975 2016 2045 2058 2100 2133 2160 2205 2212 2352 2370 2400 2401 2450 2454 2520 2528 2646 2700 2744 2765 2800 2844 2863 2940 3024 3087 3150 3160 3272 3318 3360 3430 3528 3555 3600 3675 3681 3780 3792 3871 3920 3950 4090 4116 4200 4266 4320 4410 4424 4704 4725 4740 4802 4900 4908 4977 5040 5145 5292 5400 5488 5530 5600 5688 5726 5880 5925 6048 6135 6174 6241 6300 6320 6544 6615 6636 6860 7056 7110 7200 7203 7350 7362 7560 7584 7742 7840 7900 8180 8232 8295 8400 8532 8575 8589 8820 8848 9261 9450 9480 9604 9800 9816 9954 10080 10225 10290 10584 10665 10800 10976 11025 11043 11060 11376 11452 11613 11760 11850 12005 12270 12348 12482 12600 12640 13088 13230 13272 13720 13825 14112 14220 14315 14406 14700 14724 14931 15120 15435 15484 15800 16360 16464 16590 16800 17064 17150 17178 17640 17696 17775 18405 18522 18723 18900 18960 19208 19355 19600 19632 19908 20041 20450 20580 21168 21330 21600 21609 22050 22086 22120 22752 22904 23226 23520 23700 24010 24540 24696 24885 24964 25200 25725 25767 26460 26544 27097 27440 27650 28440 28630 28812 29400 29448 29862 30240 30675 30870 30968 31205 31600 32311 32720 32928 33075 33180 34128 34300 34356 34839 35280 35550 36015 36810 37044 37446 37800 37920 38416 38710 39200 39264 39816 40082 40900 41160 41475 42336 42660 42945 43218 43687 44100 44172 44240 45808 46305 46452 47400 48020 49080 49392 49770 49928 50400 51450 51534 52920 53088 53325 54194 54880 55215 55300 56169 56880 57260 57624 58065 58800 58896 59724 60025 60123 61350 61740 61936 62410 63200 64622 64827 65440 66150 66360 68256 68600 68712 69678 70560 71100 71575 72030 73620 74088 74655 74892 75600 76832 77175 77301 77420 79632 80164 81291 81800 82320 82950 85320 85890 86436 87374 88200 88344 88480 91616 92025 92610 92904 93615 94800 96040 96775 96933 98160 98784 99540 99856 100205 102900 103068 104517 105840 106650 108045 108388 110430 110600 112338 113760 114520 115248 116130 117600 117792 119448 120050 120246 122700 123480 123872 124425 124820 128835 129244 129654 131061 132300 132720 135485 137200 137424 139356 140287 142200 143150 144060 147240 148176 149310 149784 151200 154350 154602 154840 156025 159264 160328 161555 162582 163600 164640 165900 168507 170640 171780 172872 174195 174748 176400 176688 180075 180369 184050 185220 185808 187230 189600 189679 192080 193550 193866 196320 199080 199712 200410 205800 206136 209034 211680 213300 214725 216090 216776 218435 220860 221200 224676 226177 229040 230496 231525 232260 238896 240100 240492 243873 245400 246960 248850 249640 257670 258488 259308 262122 264600 265440 270970 274400 274848 276075 278712 280574 280845 284400 286300 288120 290325 290799 294480 296352 298620 299568 300615 305809 308700 309204 309680 312050 320656 323110 324135 325164 327200 331800 337014 341280 343560 345744 348390 349496 352800 353376 360150 360738 368100 370440 371616 373275 374460 379358 384160 386505 387100 387732 393183 398160 400820 406455 411600 412272 418068 420861 426600 429450 432180 433552 436870 441720 442400 449352 452354 458080 463050 464520 468075 477792 480200 480984 484665 487746 490800 493920 497700 499280 501025 515340 516976 518616 522585 524244 529200 540225 541107 541940 552150 557424 561148 561690 568800 569037 572600 576240 580650 581598 588960 597240 599136 601230 611618 617400 618408 619360 624100 641312 644175 646220 648270 650328 655305 663600 674028 677425 678531 687120 691488 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1515099600 1531541400 1541277360 1551574220 1595904912 1608118470 1618341228 1628474400 1651368600 1662400950 1709898120 1712530400 1715326368 1722984075 1751062334 1767616200 1773227680 1786798300 1798156920 1837849680 1849532832 1861889064 1876138215 1899886800 1926596700 1929742164 1939467775 1994881140 2001214096 2022926535 2042055200 2048533200 2094625197 2121139440 2137372650 2144157960 2157788304 2201824800 2205419616 2216534600 2247696150 2251365858 2279864160 2297312100 2311916040 2327361330 2356821600 2393857368 2397542560 2412177705 2442711600 2482518752 2493601425 2501517620 2568795600 2572989552 2626593501 2651424300 2659841520 2680197450 2697235380 2756774520 2792833596 2849830200 2858877280 2889895050 2992321710 2996928200 3001821144 3030199200 3063082800 3082554720 3103148440 3126897025 3191809824 3216236940 3236682456 3302737200 3324801900 3371544225 3377048787 3419796240 3445968150 3491041995 3502124668 3535232400 3573596600 3596313840 3675699360 3723778128 3752276430 3799773600 3853193400 3859484328 3878935550 3989762280 4002428192 4020296175 4045853070 4097066400 4189250394 4242278880 4274745300 4288315920 4315576608 4377655835 4433069200 4495392300 4502731716 4594624200 4623832080 4654722660 4787714736 4824355410 4885423200 4987202850 5003035240 5137591200 5145979104 5253187002 5302848600 5319683040 5360394900 5394470760 5513549040 5585667192 5628414645 5699660400 5779790100 5818403325 5984643420 5993856400 6003642288 6126165600 6128718169 6206296880 6253794050 6432473880 6473364912 6605474400 6649603800 6743088450 6754097574 6839592480 6891936300 6982083990 7004249336 7070464800 7147193200 7192627680 7447556256 7480804275 7504552860 7706386800 7718968656 7757871100 7879780503 7979524560 8040592350 8091706140 8378500788 8549490600 8576631840 8755311670 8866138400 8990784600 9005463432 9189248400 9247664160 9309445320 9380691075 9575429472 9648710820 9974405700 10006070480 10114632675 10473125985 10506374004 10605697200 10720789800 10788941520 11027098080 11171334384 11256829290 11399320800 11559580200 11636806650 11969286840 11987712800 12007284576 12060888525 12257436338 12412593760 12507588100 12864947760 12946729824 13132967505 13299207600 13486176900 13508195148 13783872600 13964167980 14008498672 14294386400 14961608550 15009105720 15412773600 15437937312 15515742200 15759561006 15959049120 16081184700 16183412280 16757001576 16885243935 17098981200 17455209975 17510623340 17981569200 18010926864 18378496800 18386154507 18618890640 18761382150 19297421640 19948811400 20012140960 20229265350 20946251970 21012748008 21211394400 21441579600 21577883040 21888279175 22342668768 22513658580 23119160400 23273613300 23639341509 23938573680 24121777050 24514872676 25015176200 25729895520 26265935010 26598415200 26972353800 27016390296 27567745200 27928335960 28016997344 28142073225 29923217100 30018211440 30643590845 31031484400 31519122012 32162369400 32366824560 33514003152 33770487870 34197962400 34910419950 35021246680 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168852439350 175106233400 180109268640 183861545070 186188906400 189114732072 192974216400 196118981408 196994512575 209462519700 210127480080 220633854084 225136585800 236393415090 239385736800 245148726760 252152976096 262659350100 270163902960 275792317605 279283359600 294178472112 300182114400 306435908450 315191220120 323668245600 330950781126 335140031520 337704878700 350212466800 367723090140 378229464144 385948432800 393989025150 418925039400 420254960160 441267708168 450273171600 459653862675 472786830180 490297453520 525318700200 540327805920 551584635210 558566719200 588356944224 590983537725 612871816900 630382440240 661901562252 675409757400 700424933600 735446180280 756458928288 787978050300 827376952815 837850078800 882535416336 900546343200 919307725350 945573660360 980594907040 1050637400400 1103169270420 1181967075450 1225743633800 1260764880480 1323803124504 1350819514800 1378961588025 1470892360560 1575956100600 1654753905630 1675700157600 1765070832672 1838615450700 1891147320720 2101274800800 2206338540840 2363934150900 2451487267600 2647606249008 2701639029600 2757923176050 2941784721120 3151912201200 3309507811260 3677230901400 3782294641440 4136884764075 4412677081680 4727868301800 4902974535200 5295212498016 5515846352100 6303824402400 6619015622520 7354461802800 8273769528150 8825354163360 9455736603600 11031692704200 13238031245040 14708923605600 16547539056300 18911473207200 22063385408400 26476062490080 33095078112600 44126770816800 66190156225200 132380312450400
- Sum of all divisors σ(n): 567080861533200
- Sum of proper divisors (its aliquot sum) s(n): 434700549082800
- 132380312450400 is an abundant number, because the sum of its proper divisors (434700549082800) is greater than itself. Its abundance is 302320236632400
Bases of 132380312450400
- Binary: 111100001100110001100010111111110110101011000002
- Hexadecimal: 0x7866317FB560
- Base-36: 1AXAOC2OO0
Squares and roots of 132380312450400
- 132380312450400 squared (1323803124504002) is 17524547124465529252460160000
- 132380312450400 cubed (1323803124504003) is 2319905023888505620545077123677976064000000
-
The
square root of 132380312450400 is 11505664.3637123363 -
The
cube root of 132380312450400 is 50965.2861873341
Scales and comparisons
How big is 132380312450400?- 132,380,312,450,400 seconds is equal to 4,209,284 years, 23 weeks, 5 days, 6 hours.
-
To count from 1 to 132,380,312,450,400 would take you about ten million, five hundred twenty-three thousand, two hundred eleven 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 132380312450400 cubic inches would be around 4247.1 feet tall.
Recreational maths with 132380312450400
- 132380312450400 backwards is 004054213083231
- 132380312450400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132380312450400's digits is 36
- More coming soon!
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"Number 132380312450400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 132380312450400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/132380312450400/
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Numbermatics. 2024. "Number 132380312450400 - Facts about the integer". https://numbermatics.com/n/132380312450400/
The information we have on file for 132380312450400 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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