1328401376870400
1,328,401,376,870,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 1328401376870400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3024 divisors.
1328401376870400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 1328401376870400:
220 × 35 × 52 × 7 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 31)See below for interesting mathematical facts about the number 1328401376870400 from the Numbermatics database.
Names of 1328401376870400
- Cardinal: 1328401376870400 can be written as One quadrillion, three hundred twenty-eight trillion, four hundred one billion, three hundred seventy-six million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.3284013768704 × 1015
Factors of 1328401376870400
Divisors of 1328401376870400
- Number of divisors d(n): 3024
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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 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 100 105 108 112 120 124 126 128 135 140 144 150 155 160 162 168 175 180 186 189 192 200 210 216 217 224 225 240 243 248 252 256 270 279 280 288 300 310 315 320 324 336 350 360 372 378 384 400 405 420 432 434 448 450 465 480 486 496 504 512 525 540 558 560 567 576 600 620 630 640 648 651 672 675 700 720 744 756 768 775 800 810 837 840 864 868 896 900 930 945 960 961 972 992 1008 1024 1050 1080 1085 1116 1120 1134 1152 1200 1215 1240 1260 1280 1296 1302 1344 1350 1395 1400 1440 1488 1512 1536 1550 1575 1600 1620 1674 1680 1701 1728 1736 1792 1800 1860 1890 1920 1922 1944 1953 1984 2016 2025 2048 2100 2160 2170 2232 2240 2268 2304 2325 2400 2430 2480 2511 2520 2560 2592 2604 2688 2700 2790 2800 2835 2880 2883 2976 3024 3072 3100 3150 3200 3240 3255 3348 3360 3402 3456 3472 3584 3600 3720 3780 3840 3844 3888 3906 3968 4032 4050 4096 4185 4200 4320 4340 4464 4480 4536 4608 4650 4725 4800 4805 4860 4960 5022 5040 5120 5184 5208 5376 5400 5425 5580 5600 5670 5760 5766 5859 5952 6048 6075 6144 6200 6300 6400 6480 6510 6696 6720 6727 6804 6912 6944 6975 7168 7200 7440 7533 7560 7680 7688 7776 7812 7936 8064 8100 8192 8370 8400 8505 8640 8649 8680 8928 8960 9072 9216 9300 9450 9600 9610 9720 9765 9920 10044 10080 10240 10368 10416 10752 10800 10850 11160 11200 11340 11520 11532 11718 11904 12096 12150 12288 12400 12555 12600 12800 12960 13020 13392 13440 13454 13608 13824 13888 13950 14175 14336 14400 14415 14880 15066 15120 15360 15376 15552 15624 15872 16128 16200 16275 16384 16740 16800 17010 17280 17298 17360 17577 17856 17920 18144 18432 18600 18900 19200 19220 19440 19530 19840 20088 20160 20181 20480 20736 20832 20925 21504 21600 21700 22320 22400 22680 23040 23064 23436 23808 24025 24192 24300 24576 24800 25110 25200 25600 25920 25947 26040 26784 26880 26908 27216 27648 27776 27900 28350 28672 28800 28830 29295 29760 29791 30132 30240 30720 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48046924800 48809574400 49368268800 49419694080 49596825600 51013877760 51196723200 51250053120 51890678784 52714340352 52903280640 53564571648 54052790400 54666723328 54910771200 55292461056 55796428800 56682086400 57596313600 57656309760 58571489280 59303632896 59516190720 61216653312 61500063744 61774617600 63483936768 63767347200 64062566400 64863348480 65824358400 65892925440 66129100800 66955714560 68018503680 68333404160 69115576320 69187571712 70285787136 71419428864 72070387200 73214361600 74129541120 74395238400 75576115200 76520816640 76795084800 76875079680 78095319040 79071510528 79354920960 81079185600 81622204416 82000084992 82366156800 83694643200 85023129600 85416755200 86394470400 86484464640 87857233920 88172134400 89274286080 92154101760 92250095616 92661926400 93714382848 95225905152 95651020800 96093849600 97619148800 98736537600 98839388160 99193651200 102027755520 102500106240 103781357568 105428680704 105806561280 107129143296 108105580800 109333446656 109821542400 111592857600 113364172800 115192627200 115312619520 117142978560 118607265792 119032381440 122433306624 123000127488 123549235200 127534694400 128125132800 129726696960 131785850880 132258201600 133911429120 136037007360 136666808320 138231152640 138375143424 140571574272 142838857728 144140774400 146428723200 148259082240 148790476800 153041633280 153590169600 153750159360 156190638080 158143021056 158709841920 162158371200 164000169984 164732313600 167389286400 170046259200 170833510400 172788940800 172968929280 175714467840 176344268800 178548572160 184500191232 185323852800 190451810304 191302041600 192187699200 195238297600 197473075200 197678776320 198387302400 204055511040 205000212480 207562715136 210857361408 214258286592 216211161600 218666893312 219643084800 223185715200 226728345600 230385254400 230625239040 234285957120 237214531584 238064762880 244866613248 246000254976 247098470400 255069388800 256250265600 259453393920 263571701760 264516403200 267822858240 273333616640 276462305280 276750286848 281143148544 285677715456 288281548800 292857446400 296518164480 297580953600 306083266560 307500318720 316286042112 317419683840 324316742400 328000339968 329464627200 334778572800 340092518400 341667020800 345577881600 345937858560 351428935680 357097144320 369000382464 370647705600 382604083200 384375398400 390476595200 395357552640 396774604800 408111022080 410000424960 415125430272 421714722816 428516573184 432422323200 439286169600 446371430400 460770508800 461250478080 468571914240 474429063168 476129525760 492000509952 494196940800 510138777600 512500531200 518906787840 527143403520 529032806400 535645716480 546667233280 553500573696 571355430912 576563097600 585714892800 593036328960 595161907200 612166533120 615000637440 632572084224 648633484800 656000679936 658929254400 669557145600 680185036800 683334041600 691155763200 691875717120 702857871360 714194288640 738000764928 741295411200 765208166400 768750796800 780953190400 790715105280 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3075003187200 3162860421120 3280003399680 3321003442176 3459378585600 3514289356800 3570971443200 3690003824640 3795432505344 3953575526400 4100004249600 4151254302720 4217147228160 4285165731840 4428004589568 4612504780800 4744290631680 4761295257600 4920005099520 5189067878400 5271434035200 5356457164800 5466672332800 5535005736960 5904006119424 5930363289600 6121665331200 6150006374400 6325720842240 6642006884352 6918757171200 7028578713600 7141942886400 7380007649280 7590865010688 7907151052800 8200008499200 8302508605440 8570331463680 8856009179136 9225009561600 9488581263360 9840010199040 10378135756800 10542868070400 10712914329600 11070011473920 11860726579200 12300012748800 12651441684480 13284013768704 13837514342400 14283885772800 14760015298560 15814302105600 16400016998400 16605017210880 17712018358272 18450019123200 18977162526720 20756271513600 21085736140800 21425828659200 22140022947840 23721453158400 24600025497600 26568027537408 27675028684800 29520030597120 31628604211200 33210034421760 36900038246400 37954325053440 41512543027200 42851657318400 44280045895680 47442906316800 49200050995200 53136055074816 55350057369600 63257208422400 66420068843520 73800076492800 83025086054400 88560091791360 94885812633600 110700114739200 132840137687040 147600152985600 166050172108800 189771625267200 221400229478400 265680275374080 332100344217600 442800458956800 664200688435200 1328401376870400
- Sum of all divisors σ(n): 5827842639976448
- Sum of proper divisors (its aliquot sum) s(n): 4499441263106048
- 1328401376870400 is an abundant number, because the sum of its proper divisors (4499441263106048) is greater than itself. Its abundance is 3171039886235648
Bases of 1328401376870400
- Binary: 1001011100000101100100011000011000000000000000000002
- Hexadecimal: 0x4B82C8C300000
- Base-36: D2VN61HC00
Squares and roots of 1328401376870400
- 1328401376870400 squared (13284013768704002) is 1764650218071174492098396160000
- 1328401376870400 cubed (13284013768704003) is 2344163779380399811048760864259560177664000000
-
The
square root of 1328401376870400 is 36447241.0049155847 -
The
cube root of 1328401376870400 is 109928.3659466551
Scales and comparisons
How big is 1328401376870400?- 1,328,401,376,870,400 seconds is equal to 42,239,054 years, 40 weeks.
-
To count from 1 to 1,328,401,376,870,400 would take you about one hundred twenty-six million, seven hundred seventeen thousand, one hundred sixty-four 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 1328401376870400 cubic inches would be around 9160.7 feet tall.
Recreational maths with 1328401376870400
- 1328401376870400 backwards is 0040786731048231
- 1328401376870400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1328401376870400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 1328401376870400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 1328401376870400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/1328401376870400/
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The information we have on file for 1328401376870400 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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