132812486400
132,812,486,400 is an even composite number composed of seven prime numbers multiplied together.
132812486400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132812486400:
28 × 3 × 52 × 11 × 17 × 71 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 71 × 521)See below for interesting mathematical facts about the number 132812486400 from the Numbermatics database.
Names of 132812486400
- Cardinal: 132812486400 can be written as One hundred thirty-two billion, eight hundred twelve million, four hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.328124864 × 1011
Factors of 132812486400
Divisors of 132812486400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 71 75 80 85 88 96 100 102 110 120 128 132 136 142 150 160 165 170 176 187 192 200 204 213 220 240 255 256 264 272 275 284 300 320 330 340 352 355 374 384 400 408 425 426 440 480 510 521 528 544 550 561 568 600 640 660 680 704 710 748 768 781 800 816 825 850 852 880 935 960 1020 1042 1056 1065 1088 1100 1122 1136 1200 1207 1275 1280 1320 1360 1408 1420 1496 1562 1563 1600 1632 1650 1700 1704 1760 1775 1870 1920 2040 2084 2112 2130 2176 2200 2244 2272 2343 2400 2414 2550 2605 2640 2720 2805 2816 2840 2992 3124 3126 3200 3264 3300 3400 3408 3520 3550 3621 3740 3840 3905 4080 4168 4224 4260 4352 4400 4488 4544 4675 4686 4800 4828 5100 5210 5280 5325 5440 5610 5680 5731 5984 6035 6248 6252 6400 6528 6600 6800 6816 7040 7100 7242 7480 7810 7815 8160 8336 8448 8520 8800 8857 8976 9088 9350 9372 9600 9656 10200 10420 10560 10650 10880 11220 11360 11462 11715 11968 12070 12496 12504 13025 13056 13200 13277 13600 13632 14025 14080 14200 14484 14960 15620 15630 16320 16672 17040 17193 17600 17714 17952 18105 18176 18700 18744 19200 19312 19525 20400 20840 21120 21300 21760 22440 22720 22924 23430 23936 24140 24992 25008 26050 26400 26554 26571 27200 27264 28050 28400 28655 28968 29920 30175 31240 31260 32640 33344 34080 34386 35200 35428 35904 36210 36991 37400 37488 38624 39050 39075 39831 40800 41680 42240 42600 44285 44880 45440 45848 46860 47872 48280 49984 50016 52100 52800 53108 53142 54400 54528 56100 56800 57310 57936 58575 59840 60350 62480 62520 65280 66385 66688 68160 68772 70400 70856 71808 72420 73982 74800 74976 77248 78100 78150 79662 81600 83360 85200 85965 88570 89760 90525 90880 91696 93720 96560 97427 99968 100032 104200 105600 106216 106284 108800 110973 112200 113600 114620 115872 117150 119680 120700 124960 125040 132770 132855 133376 136320 137544 141712 143275 143616 144840 147964 149600 149952 154496 156200 156300 159324 163200 166720 170400 171930 177140 179520 181050 183392 184955 187440 193120 194854 199155 199936 200064 208400 211200 212432 212568 221425 221946 224400 227200 229240 231744 234300 239360 241400 249920 250080 265540 265710 272640 275088 283424 286550 289680 292281 295928 299200 299904 308992 312400 312600 318648 326400 331925 333440 340800 343860 354280 359040 362100 366784 369910 374880 386240 389708 398310 400128 406901 416800 424864 425136 429825 442850 443892 448800 454400 458480 463488 468600 482800 487135 499840 500160 531080 531420 550176 554865 566848 573100 579360 584562 591856 598400 599808 624800 625200 628847 637296 663850 664275 666880 681600 687720 708560 718080 724200 733568 739820 749760 772480 779416 796620 813802 833600 849728 850272 859650 885700 887784 897600 916960 924775 926976 937200 965600 974270 995775 999680 1000320 1062160 1062840 1100352 1109730 1133696 1146200 1158720 1169124 1183712 1196800 1220703 1249600 1250400 1257694 1274592 1327700 1328550 1363200 1375440 1417120 1448400 1461405 1467136 1479640 1499520 1544960 1558832 1593240 1627604 1667200 1699456 1700544 1719300 1771400 1775568 1795200 1833920 1849550 1874400 1886541 1931200 1948540 1991550 2000640 2034505 2124320 2125680 2200704 2219460 2267392 2292400 2317440 2338248 2367424 2435675 2441406 2499200 2500800 2515388 2549184 2655400 2657100 2750880 2774325 2834240 2896800 2922810 2959280 2999040 3117664 3144235 3186480 3255208 3334400 3398912 3401088 3438600 3542800 3551136 3590400 3667840 3699100 3748800 3773082 3862400 3897080 3983100 4069010 4248640 4251360 4401408 4438920 4584800 4634880 4676496 4734848 4871350 4882812 4998400 5001600 5030776 5098368 5310800 5314200 5501760 5548650 5668480 5793600 5845620 5918560 6103515 6235328 6288470 6372960 6510416 6802176 6877200 6917317 7085600 7102272 7307025 7335680 7398200 7497600 7546164 7724800 7794160 7966200 8138020 8497280 8502720 8877840 9169600 9352992 9432705 9469696 9742700 9765624 10003200 10061552 10172525 10196736 10621600 10628400 11003520 11097300 11336960 11587200 11691240 11837120 12207030 12470656 12576940 12745920 13020832 13754400 13834634 14171200 14204544 14614050 14796400 14995200 15092328 15588320 15721175 15932400 16276040 16994560 17005440 17755680 18339200 18705984 18865410 19485400 19531248 20123104 20345050 20751951 21243200 21256800 22007040 22194600 23174400 23382480 23674240 24414060 24941312 25153880 25491840 26041664 27508800 27669268 28342400 28409088 29228100 29592800 30184656 30517575 31176640 31442350 31864800 32552080 34010880 34586585 35511360 36678400 37411968 37730820 38970800 39062496 40246208 40690100 41503902 42486400 42513600 44389200 46764960 47163525 47348480 48828120 50307760 50983680 52083328 55017600 55338536 56684800 58456200 59185600 60369312 61035150 62353280 62884700 63729600 65104160 69173170 71022720 74823936 75461640 77941600 78124992 80492416 81380200 83007804 84972800 85027200 88778400 93529920 94327050 97656240 100615520 103759755 104166656 110035200 110677072 116912400 118371200 120738624 122070300 124706560 125769400 127459200 130208320 138346340 142045440 150923280 155883200 156249984 160984832 162760400 166015608 170054400 172932925 177556800 187059840 188654100 195312480 201231040 207519510 221354144 233824800 236742400 241477248 244140600 251538800 254918400 260416640 276692680 301846560 311766400 312499968 325520800 332031216 345865850 355113600 374119680 377308200 390624960 402462080 415039020 442708288 467649600 482954496 488281200 503077600 518798775 520833280 553385360 603693120 623532800 651041600 664062432 691731700 710227200 754616400 781249920 804924160 830078040 885416576 935299200 976562400 1006155200 1037597550 1106770720 1207386240 1302083200 1328124864 1383463400 1509232800 1562499840 1660156080 1770833152 1870598400 1953124800 2012310400 2075195100 2213541440 2414772480 2604166400 2656249728 2766926800 3018465600 3320312160 3906249600 4024620800 4150390200 4427082880 5312499456 5533853600 6036931200 6640624320 7812499200 8300780400 8854165760 11067707200 12073862400 13281248640 16601560800 22135414400 26562497280 33203121600 44270828800 66406243200 132812486400
- Sum of all divisors σ(n): 514398076416
- Sum of proper divisors (its aliquot sum) s(n): 381585590016
- 132812486400 is an abundant number, because the sum of its proper divisors (381585590016) is greater than itself. Its abundance is 248773103616
Bases of 132812486400
- Binary: 11110111011000011110110110111000000002
- Hexadecimal: 0x1EEC3DB700
- Base-36: 1P0H4IDC
Squares and roots of 132812486400
- 132812486400 squared (1328124864002) is 17639156543750184960000
- 132812486400 cubed (1328124864003) is 2342700238574292444997484544000000
-
The
square root of 132812486400 is 364434.4747687847 -
The
cube root of 132812486400 is 5102.0687032461
Scales and comparisons
How big is 132812486400?- 132,812,486,400 seconds is equal to 4,223 years, 1 week, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 132,812,486,400 would take you about eight thousand, four hundred forty-six 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 132812486400 cubic inches would be around 425.2 feet tall.
Recreational maths with 132812486400
- 132812486400 backwards is 004684218231
- The number of decimal digits it has is: 12
- The sum of 132812486400's digits is 39
- More coming soon!
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