328242632042995200
328,242,632,042,995,200 is an even composite number composed of seven prime numbers multiplied together.
328242632042995200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 328242632042995200:
29 × 32 × 52 × 412 × 53 × 61 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 41 × 53 × 61 × 524287)See below for interesting mathematical facts about the number 328242632042995200 from the Numbermatics database.
Names of 328242632042995200
- Cardinal: 328242632042995200 can be written as Three hundred twenty-eight quadrillion, two hundred forty-two trillion, six hundred thirty-two billion, forty-two million, nine hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 3.282426320429952 × 1017
Factors of 328242632042995200
Divisors of 328242632042995200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 53 60 61 64 72 75 80 82 90 96 100 106 120 122 123 128 144 150 159 160 164 180 183 192 200 205 212 225 240 244 246 256 265 288 300 305 318 320 328 360 366 369 384 400 410 424 450 477 480 488 492 512 530 549 576 600 610 615 636 640 656 720 732 738 768 795 800 820 848 900 915 954 960 976 984 1025 1060 1098 1152 1200 1220 1230 1272 1280 1312 1325 1440 1464 1476 1525 1536 1590 1600 1640 1681 1696 1800 1830 1845 1908 1920 1952 1968 2050 2120 2173 2196 2304 2385 2400 2440 2460 2501 2544 2560 2624 2650 2745 2880 2928 2952 3050 3075 3180 3200 3233 3280 3362 3392 3600 3660 3690 3816 3840 3904 3936 3975 4100 4240 4346 4392 4575 4608 4770 4800 4880 4920 5002 5043 5088 5248 5300 5490 5760 5856 5904 6100 6150 6360 6400 6466 6519 6560 6724 6784 7200 7320 7380 7503 7632 7680 7808 7872 7950 8200 8405 8480 8692 8784 9150 9225 9540 9600 9699 9760 9840 10004 10086 10176 10496 10600 10865 10980 11520 11712 11808 11925 12200 12300 12505 12720 12800 12932 13038 13120 13448 13568 13725 14400 14640 14760 15006 15129 15264 15616 15744 15900 16165 16400 16810 16960 17384 17568 18300 18450 19080 19200 19398 19520 19557 19680 20008 20172 20352 20992 21200 21730 21960 22509 23040 23424 23616 23850 24400 24600 25010 25215 25440 25864 26076 26240 26896 27136 27450 28800 29097 29280 29520 30012 30258 30528 31232 31488 31800 32330 32595 32800 33620 33920 34768 35136 36600 36900 37515 38160 38400 38796 39040 39114 39360 40016 40344 40704 42025 42400 43460 43920 45018 46848 47232 47700 48495 48800 49200 50020 50430 50880 51728 52152 52480 53792 54325 54900 57600 58194 58560 59040 60024 60516 61056 62525 62976 63600 64660 65190 65600 67240 67840 69536 70272 73200 73800 75030 75645 76320 77592 78080 78228 78720 80032 80688 80825 81408 84050 84800 86920 87840 89093 90036 93696 94464 95400 96990 97600 97785 98400 100040 100860 101760 102541 103456 104304 104960 107584 108650 109800 112545 115200 116388 117120 118080 120048 121032 122112 125050 126075 127200 129320 130380 131200 132553 134480 135680 139072 140544 145485 146400 147600 150060 151290 152640 155184 156160 156456 157440 160064 161376 161650 162975 168100 169600 173840 175680 178186 180072 187575 188928 190800 193980 195200 195570 196800 200080 201720 203520 205082 206912 208608 215168 217300 219600 225090 232776 234240 236160 240096 242064 242475 244224 250100 252150 254400 258640 260760 262400 265106 267279 268960 278144 281088 290970 292800 295200 300120 302580 305280 307623 310368 312912 314880 320128 322752 323300 325950 336200 339200 347680 351360 356372 360144 375150 378225 381600 387960 390400 391140 393600 397659 400160 403440 407040 410164 413824 417216 430336 434600 439200 445465 450180 465552 468480 472320 480192 484128 484950 488925 500200 504300 508800 512705 517280 521520 524287 524800 530212 534558 537920 556288 562725 581940 585600 590400 600240 605160 610560 615246 620736 625824 640256 645504 646600 651900 662765 672400 678400 695360 702720 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40029589273536 41288381389056 41697488826600 42039271521900 42739926047265 43008730613600 43748184998400 44477321415040 44841889623360 45589254450416 48384821940300 48816572284800 50036986591920 50351684620800 50764403347200 51287911256718 51610476736320 53372785698048 53810267548032 55596651768800 56052362029200 56986568063020 59789186164480 61932572083584 62546233239900 64513095920400 65088763046400 65622277497600 66715982122560 67262834435040 68383881675624 68813968981760 71233210078775 71747023397376 74736482705600 75527526931200 77415715104480 80059178547072 82576762778112 83394977653200 84078543043800 85479852094530 86017461227200 88954642830080 89683779246720 91178508900832 96769643880600 97633144569600 100073973183840 101528806694400 102575822513436 103220953472640 106745571396096 107620535096064 111193303537600 112104724058400 113973136126040 119578372328960 123865144167168 125092466479800 128219778141795 129026191840800 131244554995200 133431964245120 134525668870080 136767763351248 137627937963520 142466420157550 149472965411200 151055053862400 154831430208960 160118357094144 166789955306400 168157086087600 170959704189060 172034922454400 177909285660160 179367558493440 182357017801664 193539287761200 195266289139200 200147946367680 205151645026872 206441906945280 213699630236325 215241070192128 222386607075200 224209448116800 227946272252080 247730288334336 250184932959600 256439556283590 258052383681600 266863928490240 269051337740160 273535526702496 284932840315100 298945930822400 309662860417920 320236714188288 333579910612800 336314172175200 341919408378120 344069844908800 358735116986880 364714035603328 387078575522400 400295892735360 410303290053744 412883813890560 427399260472650 444773214150400 448418896233600 455892544504160 500369865919200 512879112567180 516104767363200 533727856980480 538102675480320 547071053404992 569865680630200 597891861644800 619325720835840 641098890708975 667159821225600 672628344350400 683838816756240 688139689817600 729428071206656 774157151044800 800591785470720 820606580107488 854798520945300 889546428300800 896837792467200 911785089008320 1000739731838400 1025758225134360 1032209534726400 1076205350960640 1094142106809984 1139731361260400 1238651441671680 1282197781417950 1334319642451200 1345256688700800 1367677633512480 1458856142413312 1548314302089600 1601183570941440 1641213160214976 1709597041890600 1793675584934400 1823570178016640 2001479463676800 2051516450268720 2064419069452800 2188284213619968 2279462722520800 2564395562835900 2668639284902400 2690513377401600 2735355267024960 3096628604179200 3282426320429952 3419194083781200 3647140356033280 4002958927353600 4103032900537440 4376568427239936 4558925445041600 5128791125671800 5381026754803200 5470710534049920 6193257208358400 6564852640859904 6838388167562400 7294280712066560 8005917854707200 8206065801074880 9117850890083200 10257582251343600 10941421068099840 13129705281719808 13676776335124800 16412131602149760 18235701780166400 20515164502687200 21882842136199680 27353552670249600 32824263204299520 36471403560332800 41030329005374400 54707105340499200 65648526408599040 82060658010748800 109414210680998400 164121316021497600 328242632042995200
- Sum of all divisors σ(n): 1246870426078937088
- Sum of proper divisors (its aliquot sum) s(n): 918627794035941888
- 328242632042995200 is an abundant number, because the sum of its proper divisors (918627794035941888) is greater than itself. Its abundance is 590385161992946688
Bases of 328242632042995200
- Binary: 100100011100010011011101111010010110000111111011110000000002
- Hexadecimal: 0x48E26EF4B0FDE00
- Base-36: 2HS0AVG0SCG0
Squares and roots of 328242632042995200
- 328242632042995200 squared (3282426320429952002) is 107743225490513139224581387223040000
- 328242632042995200 cubed (3282426320429952003) is 35365919919807965378268744163890542301212049408000000
-
The
square root of 328242632042995200 is 572924630.3336898781 -
The
cube root of 328242632042995200 is 689813.4565684319
Scales and comparisons
How big is 328242632042995200?- 328,242,632,042,995,200 seconds is equal to 10,437,100,377 years, 43 weeks, 5 days, 16 hours.
-
To count from 1 to 328,242,632,042,995,200 would take you about thirty-one billion, three hundred eleven million, three hundred one thousand, one hundred thirty-three 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 328242632042995200 cubic inches would be around 57484.5 feet tall.
Recreational maths with 328242632042995200
- 328242632042995200 backwards is 002599240236242823
- The number of decimal digits it has is: 18
- The sum of 328242632042995200's digits is 63
- More coming soon!
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"Number 328242632042995200 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 328242632042995200 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/328242632042995200/
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The information we have on file for 328242632042995200 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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