13132885947596800
13,132,885,947,596,800 is an even composite number composed of six prime numbers multiplied together.
13132885947596800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 13132885947596800:
214 × 52 × 72 × 112 × 412 × 3217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 41 × 41 × 3217)See below for interesting mathematical facts about the number 13132885947596800 from the Numbermatics database.
Names of 13132885947596800
- Cardinal: 13132885947596800 can be written as Thirteen quadrillion, one hundred thirty-two trillion, eight hundred eighty-five billion, nine hundred forty-seven million, five hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31328859475968 × 1016
Factors of 13132885947596800
Divisors of 13132885947596800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 49 50 55 56 64 70 77 80 82 88 98 100 110 112 121 128 140 154 160 164 175 176 196 200 205 220 224 242 245 256 275 280 287 308 320 328 350 352 385 392 400 410 440 448 451 484 490 512 539 550 560 574 605 616 640 656 700 704 770 784 800 820 847 880 896 902 968 980 1024 1025 1078 1100 1120 1148 1210 1225 1232 1280 1312 1400 1408 1435 1540 1568 1600 1640 1681 1694 1760 1792 1804 1925 1936 1960 2009 2048 2050 2156 2200 2240 2255 2296 2420 2450 2464 2560 2624 2695 2800 2816 2870 3025 3080 3136 3157 3200 3217 3280 3362 3388 3520 3584 3608 3850 3872 3920 4018 4096 4100 4235 4312 4400 4480 4510 4592 4840 4900 4928 4961 5120 5248 5390 5600 5632 5740 5929 6050 6160 6272 6314 6400 6434 6560 6724 6776 7040 7168 7175 7216 7700 7744 7840 8036 8192 8200 8405 8470 8624 8800 8960 9020 9184 9680 9800 9856 9922 10045 10240 10496 10780 11200 11264 11275 11480 11767 11858 12100 12320 12544 12628 12800 12868 13120 13448 13475 13552 14080 14336 14350 14432 15400 15488 15680 15785 16072 16085 16384 16400 16810 16940 17248 17600 17920 18040 18368 18491 19360 19600 19712 19844 20090 20480 20992 21175 21560 22099 22400 22519 22528 22550 22960 23534 23716 24200 24640 24805 25088 25256 25600 25736 26240 26896 26950 27104 28160 28672 28700 28864 29645 30800 30976 31360 31570 32144 32170 32800 33620 33880 34496 34727 35200 35387 35840 36080 36736 36982 38720 39200 39424 39688 40180 40960 41984 42025 42350 43120 44198 44800 45038 45056 45100 45920 47068 47432 48400 49280 49610 50176 50225 50512 51200 51472 52480 53792 53900 54208 56320 57344 57400 57728 58835 59290 61600 61952 62720 63140 64288 64340 65600 67240 67760 68992 69454 70400 70774 71680 72160 73472 73964 77440 78400 78848 78925 79376 80360 80425 81920 82369 83968 84050 84700 86240 88396 89600 90076 90112 90200 91840 92455 94136 94864 96800 98560 99220 100352 100450 101024 102400 102944 104960 107584 107800 108416 110495 112595 112640 114688 114800 115456 117670 118580 123200 123904 124025 125440 126280 128576 128680 129437 131200 131897 134480 135520 137984 138908 140800 141548 143360 144320 146944 147928 148225 154880 156800 157633 157696 157850 158752 160720 160850 164738 167936 168100 169400 172480 173635 176792 176935 179200 180152 180224 180400 183680 184910 188272 189728 193600 197120 198440 200704 200900 202048 203401 204800 205888 209920 215168 215600 216832 220990 225190 225280 229600 230912 235340 237160 243089 246400 247709 247808 248050 250880 252560 257152 257360 258874 262400 263794 268960 271040 275968 277816 281600 283096 286720 288640 293888 294175 295856 296450 309760 313600 315266 315392 315700 317504 321440 321700 329476 335872 336200 338800 344960 347270 353584 353870 358400 360304 360800 367360 369820 376544 379456 387200 389257 394240 396880 401408 401800 404096 406802 409600 411776 411845 419840 430336 431200 433664 441980 450380 450560 459200 461824 462275 470680 474320 486178 492800 495418 495616 496100 501760 505120 514304 514720 517748 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817128294400 831985172480 837556501760 847939433600 852784801792 909983782400 915183689728 916077423800 932733376960 969073638400 974611202048 976567961600 1000982160640 1020584857600 1026006714656 1039981465600 1046945627200 1065981002240 1085362475008 1107512729600 1116077670400 1143979612160 1164779241472 1165916721200 1172579102464 1218264002560 1251227700800 1282508393320 1307405271040 1323612774400 1332476252800 1340090402816 1356703093760 1429974515200 1455974051840 1465723878080 1492373403136 1522830003200 1550517821440 1562508738560 1601571457024 1603135491650 1634256588800 1675113003520 1695878867200 1705569603584 1819967564800 1830367379456 1832154847600 1865466753920 1938147276800 1953135923200 2001964321280 2041169715200 2052013429312 2079962931200 2093891254400 2131962004480 2170724950016 2215025459200 2287959224320 2331833442400 2345158204928 2436528005120 2502455401600 2565016786640 2647225548800 2664952505600 2680180805632 2713406187520 2859949030400 2911948103680 2931447756160 2984746806272 3045660006400 3101035642880 3203142914048 3206270983300 3268513177600 3350226007040 3391757734400 3411139207168 3639935129600 3664309695200 3730933507840 3876294553600 3906271846400 4003928642560 4082339430400 4104026858624 4159925862400 4187782508800 4263924008960 4341449900032 4575918448640 4663666884800 4690316409856 4873056010240 5004910803200 5130033573280 5329905011200 5360361611264 5426812375040 5719898060800 5823896207360 5862895512320 5969493612544 6091320012800 6406285828096 6412541966600 6537026355200 6700452014080 6783515468800 6822278414336 7279870259200 7328619390400 7461867015680 7752589107200 7812543692800 8007857285120 8208053717248 8375565017600 8527848017920 9151836897280 9327333769600 9380632819712 10009821606400 10260067146560 10659810022400 10720723222528 10853624750080 11439796121600 11725791024640 11938987225088 12182640025600 12812571656192 12825083933200 13400904028160 13567030937600 14559740518400 14657238780800 14923734031360 15505178214400 16015714570240 16416107434496 16751130035200 17055696035840 18654667539200 18761265639424 20019643212800 20520134293120 21319620044800 21707249500160 22879592243200 23451582049280 23877974450176 24365280051200 25650167866400 26801808056320 27134061875200 29119481036800 29314477561600 29847468062720 32031429140480 32832214868992 33502260070400 34111392071680 37309335078400 37522531278848 40039286425600 41040268586240 42639240089600 45759184486400 46903164098560 47755948900352 51300335732800 53603616112640 54268123750400 58628955123200 59694936125440 64062858280960 65664429737984 67004520140800 74618670156800 75045062557696 80078572851200 82080537172480 85278480179200 93806328197120 102600671465600 108536247500800 117257910246400 119389872250880 131328859475968 134009040281600 149237340313600 160157145702400 164161074344960 170556960358400 187612656394240 205201342931200 234515820492800 238779744501760 262657718951936 268018080563200 298474680627200 320314291404800 328322148689920 375225312788480 410402685862400 469031640985600 525315437903872 596949361254400 656644297379840 820805371724800 938063281971200 1193898722508800 1313288594759680 1641610743449600 1876126563942400 2626577189519360 3283221486899200 6566442973798400 13132885947596800
- Sum of all divisors σ(n): 42696884714466318
- Sum of proper divisors (its aliquot sum) s(n): 29563998766869518
- 13132885947596800 is an abundant number, because the sum of its proper divisors (29563998766869518) is greater than itself. Its abundance is 16431112819272718
Bases of 13132885947596800
- Binary: 1011101010100001001010010010011100100001000000000000002
- Hexadecimal: 0x2EA84A49C84000
- Base-36: 3LB7WIK4RGG
Squares and roots of 13132885947596800
- 13132885947596800 squared (131328859475968002) is 172472693312585499475695370240000
- 13132885947596800 cubed (131328859475968003) is 2265064210349026687669286621964953014239232000000
-
The
square root of 13132885947596800 is 114598804.3026488129 -
The
cube root of 13132885947596800 is 235931.9320811617
Scales and comparisons
How big is 13132885947596800?- 13,132,885,947,596,800 seconds is equal to 417,585,150 years, 23 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,132,885,947,596,800 would take you about one billion, two hundred fifty-two million, seven hundred fifty-five thousand, four hundred fifty-one 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 13132885947596800 cubic inches would be around 19661 feet tall.
Recreational maths with 13132885947596800
- 13132885947596800 backwards is 00869574958823131
- The number of decimal digits it has is: 17
- The sum of 13132885947596800's digits is 79
- More coming soon!
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"Number 13132885947596800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13132885947596800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13132885947596800/
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The information we have on file for 13132885947596800 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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