132928753126400
132,928,753,126,400 is an even composite number composed of eight prime numbers multiplied together.
132928753126400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 132928753126400:
210 × 52 × 7 × 11 × 17 × 31 × 41 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 31 × 41 × 3121)See below for interesting mathematical facts about the number 132928753126400 from the Numbermatics database.
Names of 132928753126400
- Cardinal: 132928753126400 can be written as One hundred thirty-two trillion, nine hundred twenty-eight billion, seven hundred fifty-three million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.329287531264 × 1014
Factors of 132928753126400
Divisors of 132928753126400
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 41 44 50 55 56 62 64 68 70 77 80 82 85 88 100 110 112 119 124 128 136 140 154 155 160 164 170 175 176 187 200 205 217 220 224 238 248 256 272 275 280 287 308 310 320 328 340 341 350 352 374 385 400 410 425 434 440 448 451 476 496 512 527 544 550 560 574 595 616 620 640 656 680 682 697 700 704 748 770 775 800 820 850 868 880 896 902 935 952 992 1024 1025 1054 1085 1088 1100 1120 1148 1190 1232 1240 1271 1280 1309 1312 1360 1364 1394 1400 1408 1435 1496 1540 1550 1600 1640 1700 1705 1736 1760 1792 1804 1870 1904 1925 1984 2050 2108 2170 2176 2200 2240 2255 2296 2380 2387 2464 2480 2542 2560 2618 2624 2635 2720 2728 2788 2800 2816 2870 2975 2992 3080 3100 3121 3157 3200 3280 3400 3410 3472 3485 3520 3584 3608 3689 3740 3808 3850 3968 4100 4216 4340 4352 4400 4480 4510 4592 4675 4760 4774 4879 4928 4960 5084 5120 5236 5248 5270 5425 5440 5456 5576 5600 5632 5740 5797 5950 5984 6160 6200 6242 6314 6355 6400 6545 6560 6800 6820 6944 6970 7040 7168 7175 7216 7378 7480 7616 7667 7700 7936 8200 8432 8525 8680 8704 8800 8897 8960 9020 9184 9350 9520 9548 9758 9856 9920 10168 10472 10496 10540 10850 10880 10912 11152 11200 11264 11275 11480 11594 11900 11935 11968 12320 12400 12484 12628 12710 12800 13090 13120 13175 13600 13640 13888 13940 13981 14080 14350 14432 14756 14960 15232 15334 15400 15605 15785 15872 16400 16864 17050 17360 17408 17425 17600 17794 17920 18040 18368 18445 18700 19040 19096 19516 19712 19840 20336 20944 20992 21080 21607 21700 21760 21824 21847 22304 22400 22550 22960 23188 23800 23870 23936 24395 24640 24800 24968 25256 25420 25600 26180 26240 26350 27200 27280 27776 27880 27962 28160 28700 28864 28985 29512 29920 30464 30668 30800 31210 31570 31744 31775 32725 32800 33728 34100 34331 34720 34850 35200 35588 35840 36080 36736 36890 37400 38080 38192 38335 39032 39424 39680 40579 40672 41888 41984 42160 43214 43400 43520 43648 43694 44485 44608 44800 45100 45920 46376 47600 47740 47872 48790 49280 49600 49936 50512 50840 52360 52480 52700 53057 53669 54400 54560 55552 55760 55924 56320 57400 57728 57970 59024 59675 59840 60928 61336 61600 62420 63140 63550 65450 65600 67456 68200 68662 69440 69700 69905 70400 71176 72160 73472 73780 74800 76160 76384 76670 78025 78064 78848 78925 79360 81158 81344 83776 84320 86428 86800 87040 87296 87388 88970 89216 89600 90200 91840 92225 92752 95200 95480 95744 96751 97580 97867 98560 99200 99872 101024 101680 104720 104960 105400 106114 107338 108035 108800 109120 109235 111104 111520 111848 114800 115456 115940 118048 119350 119680 121856 121975 122672 123200 124840 126280 127100 127961 130900 131200 134912 136400 137324 138880 139400 139810 140800 142352 144320 144925 146944 147560 149600 151249 152320 152768 153340 156050 156128 157850 158720 162316 162688 167552 168640 171655 172856 173600 174592 174776 177940 178432 179200 180400 183680 184450 185504 190400 190960 191488 191675 193502 195160 195734 197120 198400 199744 202048 202895 203360 209440 209920 210800 212228 214676 216070 217600 218240 218470 222208 222425 223040 223696 229600 230912 231880 236096 237677 238700 239360 240317 243950 245344 246400 249680 252560 254200 255922 261800 262400 265285 268345 269824 272800 274648 277760 278800 279620 281600 284704 288640 289850 293888 295120 299200 302498 304640 305536 306680 312100 312256 315700 324632 325376 335104 337280 343310 345712 347200 349184 349525 349552 355880 356864 360800 367360 368900 371008 371399 380800 381920 383350 387004 390320 391468 394240 396800 399488 404096 405790 406720 418880 421600 424456 429352 432140 435200 436480 436940 444850 446080 447392 459200 461824 463760 472192 475354 477400 478720 480634 483755 487900 489335 490688 492800 499360 505120 508400 511844 523600 524800 530570 536690 539648 540175 545600 546175 549296 555520 557600 559240 569408 577280 579700 583627 590240 598400 604996 609280 611072 613360 624200 624512 631400 639805 649264 650752 670208 674560 677257 686620 691424 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2221402960 2227545088 2252113600 2293061120 2302673800 2315831936 2360240645 2376953600 2383944640 2392870700 2436377440 2443543256 2476825600 2505395200 2522367232 2532941180 2538746240 2614648960 2631627200 2661982400 2680015184 2697417880 2724508160 2776753700 2784431360 2792620864 2866326400 2894789920 2947422464 2967159668 2979930800 2988170240 3042265600 3045471800 3054429070 3062874496 3076057600 3152959040 3166176475 3173432800 3268311200 3275801600 3350018980 3371772350 3405635200 3467555840 3480539200 3490776080 3554244736 3603381760 3618487400 3684278080 3708949585 3735212800 3776385032 3814311424 3828593120 3871974400 3898203904 3941198800 4052705888 4061993984 4183438336 4187523725 4210603520 4259171840 4315868608 4334444800 4363470100 4442805920 4504227200 4586122240 4605347600 4631663872 4720481290 4753907200 4767889280 4785741400 4872754880 4887086512 5044734464 5065882360 5077492480 5192529419 5229297920 5263254400 5323964800 5360030368 5394835760 5449016320 5553507400 5568862720 5585241728 5732652800 5789579840 5894844928 5934319336 5959861600 6084531200 6090943600 6108858140 6125748992 6152115200 6305918080 6332352950 6346865600 6536622400 6700037960 6743544700 6811270400 6961078400 6981552160 7108489472 7206763520 7236974800 7368556160 7417899170 7470425600 7552770064 7628622848 7636072675 7657186240 7796407808 7882397600 8105411776 8375047450 8421207040 8518343680 8631737216 8668889600 8726940200 8885611840 9008454400 9210695200 9263327744 9440962580 9507814400 9535778560 9571482800 9745509760 9774173024 10089468928 10131764720 10154984960 10385058838 10458595840 10526508800 10647929600 10720060736 10789671520 11107014800 11137725440 11170483456 11465305600 11579159680 11789689856 11801203225 11868638672 11919723200 12181887200 12217716280 12251497984 12611836160 12664705900 12693731200 13073244800 13400075920 13487089400 13622540800 13922156800 13963104320 14216978944 14473949600 14737112320 14835798340 14940851200 15105540128 15272145350 15314372480 15592815616 15764795200 16210823552 16750094900 17263474432 17337779200 17453880400 17771223680 18016908800 18421390400 18526655488 18544747925 18881925160 19071557120 19142965600 19491019520 19548346048 20263529440 20309969920 20770117676 20917191680 21053017600 21295859200 21440121472 21579343040 22214029600 22340966912 22930611200 23158319360 23602406450 23737277344 23839446400 24363774400 24435432560 24502995968 25223672320 25329411800 25387462400 25962647095 26146489600 26800151840 26974178800 27245081600 27844313600 27926208640 28433957888 28947899200 29474224640 29671596680 30211080256 30544290700 30628744960 31529590400 32421647104 33500189800 34526948864 34907760800 35542447360 36033817600 36842780800 37089495850 37763850320 38143114240 38285931200 38982039040 39096692096 40527058880 41540235352 42106035200 42591718400 42880242944 43158686080 44428059200 44681933824 46316638720 47204812900 47474554688 47678892800 48727548800 48870865120 50447344640 50658823600 50774924800 51925294190 52292979200 53600303680 53948357600 55688627200 55852417280 57895798400 58948449280 59343193360 60422160512 61088581400 61257489920 63059180800 64843294208 67000379600 69053897728 69815521600 71084894720 73685561600 74178991700 75527700640 76571862400 77964078080 78193384192 81054117760 83080470704 85760485888 86317372160 88856118400 92633277440 94409625800 94949109376 95357785600 97455097600 97741730240 101317647200 101549849600 103850588380 104585958400 107200607360 107896715200 111704834560 115791596800 118686386720 120844321024 122177162800 122514979840 126118361600 129686588416 129813235475 134000759200 139631043200 142169789440 147371123200 148357983400 151055401280 153143724800 156386768384 162108235520 166160941408 171520971776 172634744320 177712236800 188819251600 189898218752 190715571200 194910195200 195483460480 202635294400 207701176760 214401214720 215793430400 223409669120 231583193600 237372773440 241688642048 244354325600 252236723200 259626470950 268001518400 279262086400 294742246400 296715966800 302110802560 306287449600 312773536768 324216471040 332321882816 345269488640 355424473600 377638503200 379796437504 389820390400 390966920960 405270588800 415402353520 428802429440 431586860800 463166387200 474745546880 483377284096 488708651200 519252941900 536003036800 558524172800 593431933600 604221605120 612574899200 648432942080 664643765632 710848947200 755277006400 759592875008 781933841920 810541177600 830804707040 857604858880 863173721600 949491093760 977417302400 1038505883800 1072006073600 1117048345600 1186863867200 1208443210240 1329287531264 1510554012800 1563867683840 1621082355200 1661609414080 1726347443200 1898982187520 1954834604800 2077011767600 2144012147200 2373727734400 2416886420480 2658575062528 3021108025600 3242164710400 3323218828160 3797964375040 3909669209600 4154023535200 4288024294400 4747455468800 5317150125056 6042216051200 6646437656320 7819338419200 8308047070400 9494910937600 12084432102400 13292875312640 16616094140800 18989821875200 26585750625280 33232188281600 66464376563200 132928753126400
- Sum of all divisors σ(n): 460103399497728
- Sum of proper divisors (its aliquot sum) s(n): 327174646371328
- 132928753126400 is an abundant number, because the sum of its proper divisors (327174646371328) is greater than itself. Its abundance is 194245893244928
Bases of 132928753126400
- Binary: 111100011100101111000110001110001001100000000002
- Hexadecimal: 0x78E5E31C4C00
- Base-36: 1B4AMJHQM8
Squares and roots of 132928753126400
- 132928753126400 squared (1329287531264002) is 17670053407739397774376960000
- 132928753126400 cubed (1329287531264003) is 2348858167167693445857164523412127744000000
-
The
square root of 132928753126400 is 11529473.2371604905 -
The
cube root of 132928753126400 is 51035.5708692197
Scales and comparisons
How big is 132928753126400?- 132,928,753,126,400 seconds is equal to 4,226,723 years, 9 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 132,928,753,126,400 would take you about ten million, five hundred sixty-six thousand, eight hundred 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 132928753126400 cubic inches would be around 4253 feet tall.
Recreational maths with 132928753126400
- 132928753126400 backwards is 004621357829231
- The number of decimal digits it has is: 15
- The sum of 132928753126400's digits is 53
- More coming soon!
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"Number 132928753126400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 132928753126400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/132928753126400/
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The information we have on file for 132928753126400 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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