1328401468800
1,328,401,468,800 is an even composite number composed of eight prime numbers multiplied together.
1328401468800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 1328401468800:
27 × 33 × 52 × 7 × 23 × 29 × 37 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 23 × 29 × 37 × 89)See below for interesting mathematical facts about the number 1328401468800 from the Numbermatics database.
Names of 1328401468800
- Cardinal: 1328401468800 can be written as One trillion, three hundred twenty-eight billion, four hundred one million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3284014688 × 1012
Factors of 1328401468800
Divisors of 1328401468800
- Number of divisors d(n): 3072
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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 23 24 25 27 28 29 30 32 35 36 37 40 42 45 46 48 50 54 56 58 60 63 64 69 70 72 74 75 80 84 87 89 90 92 96 100 105 108 111 112 115 116 120 126 128 135 138 140 144 145 148 150 160 161 168 174 175 178 180 184 185 189 192 200 203 207 210 216 222 224 225 230 232 240 252 259 261 267 270 276 280 288 290 296 300 315 320 322 333 336 345 348 350 356 360 368 370 378 384 400 406 414 420 432 435 444 445 448 450 460 464 480 483 504 518 522 525 534 540 552 555 560 575 576 580 592 600 609 621 623 630 640 644 666 667 672 675 690 696 700 712 720 725 736 740 756 777 783 800 801 805 812 828 840 851 864 870 888 890 896 900 920 925 928 945 960 966 999 1008 1015 1035 1036 1044 1050 1068 1073 1080 1104 1110 1120 1150 1152 1160 1184 1200 1218 1242 1246 1260 1288 1295 1305 1332 1334 1335 1344 1350 1380 1392 1400 1424 1440 1449 1450 1472 1480 1512 1554 1566 1575 1600 1602 1610 1624 1656 1665 1680 1702 1725 1728 1740 1776 1780 1800 1827 1840 1850 1856 1869 1890 1920 1932 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451223325 458069472 458385600 461250510 466433100 474429096 477155700 478703232 481304880 492000544 494196975 497528640 497901600 498649200 508966080 512896320 514684800 515683800 520329600 527143440 533066400 534783200 545320800 550062720 552809600 553500612 560980350 569884800 572586840 577565856 593036370 597034368 598379040 601631100 610759296 615000680 619012800 621910800 632572128 636207600 641120400 641739840 648950400 654384960 658929300 663868800 664865600 687578400 691875765 702857920 710755200 715733550 718054848 721957320 727094400 738000816 746292960 747973800 763449120 768750850 770087808 780494400 790715160 797838720 802174800 817981200 825094080 829214400 830250918 843429504 848276800 854827200 878572400 897568560 902446650 916138944 916771200 922501020 932866200 948858192 954311400 962609760 984001088 988393950 995057280 995803200 997298400 1017932160 1025792640 1031367600 1054286880 1066132800 1069566400 1090641600 1107001224 1121960700 1145173680 1153126275 1155131712 1186072740 1196758080 1203262200 1230001360 1238025600 1243821600 1265144256 1272415200 1282240800 1283479680 1308769920 1317858600 1329731200 1375156800 1383751530 1405715840 1431467100 1436109696 1443914640 1476001632 1482590925 1492585920 1495947600 1526898240 1537501700 1560988800 1581430320 1604349600 1635962400 1650188160 1658428800 1660501836 1696553600 1709654400 1757144800 1795137120 1804893300 1832277888 1845002040 1865732400 1897716384 1908622800 1925219520 1968002176 1976787900 1991606400 1994596800 2062735200 2075627295 2108573760 2132265600 2139132800 2181283200 2214002448 2243921400 2290347360 2306252550 2310263424 2372145480 2393516160 2406524400 2460002720 2487643200 2530288512 2544830400 2564481600 2635717200 2750313600 2767503060 2862934200 2887829280 2952003264 2965181850 2985171840 2991895200 3053796480 3075003400 3162860640 3208699200 3271924800 3321003672 3459378825 3514289600 3590274240 3609786600 3690004080 3731464800 3795432768 3817245600 3850439040 3953575800 3989193600 4125470400 4151254590 4217147520 4428004896 4487842800 4580694720 4612505100 4744290960 4813048800 4920005440 4975286400 5089660800 5128963200 5271434400 5535006120 5725868400 5775658560 5904006528 5930363700 5983790400 6150006800 6325721280 6417398400 6543849600 6642007344 6918757650 7028579200 7180548480 7219573200 7380008160 7462929600 7590865536 7634491200 7907151600 8250940800 8302509180 8856009792 8975685600 9161389440 9225010200 9488581920 9626097600 9840010880 10378136475 10542868800 11070012240 11451736800 11551317120 11860727400 11967580800 12300013600 12651442560 13284014688 13837515300 14439146400 14760016320 14925859200 15268982400 15814303200 16605018360 17712019584 17951371200 18450020400 18977163840 19252195200 20756272950 21085737600 22140024480 22903473600 23721454800 24600027200 26568029376 27675030600 28878292800 29520032640 31628606400 33210036720 35902742400 36900040800 37954327680 41512545900 44280048960 45806947200 47442909600 49200054400 53136058752 55350061200 57756585600 63257212800 66420073440 73800081600 83025091800 88560097920 94885819200 110700122400 132840146880 147600163200 166050183600 189771638400 221400244800 265680293760 332100367200 442800489600 664200734400 1328401468800
- Sum of all divisors σ(n): 6228887040000
- Sum of proper divisors (its aliquot sum) s(n): 4900485571200
- 1328401468800 is an abundant number, because the sum of its proper divisors (4900485571200) is greater than itself. Its abundance is 3572084102400
Bases of 1328401468800
- Binary: 100110101010010101110010111001101100000002
- Hexadecimal: 0x1354AE5CD80
- Base-36: GY9BXPC0
Squares and roots of 1328401468800
- 1328401468800 squared (13284014688002) is 1764650462309997373440000
- 1328401468800 cubed (13284014688003) is 2344164266051199551801838108672000000
-
The
square root of 1328401468800 is 1152562.9999266851 -
The
cube root of 1328401468800 is 10992.8368482453
Scales and comparisons
How big is 1328401468800?- 1,328,401,468,800 seconds is equal to 42,239 years, 3 weeks.
-
To count from 1 to 1,328,401,468,800 would take you about one hundred five thousand, five hundred ninety-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 1328401468800 cubic inches would be around 916.1 feet tall.
Recreational maths with 1328401468800
- 1328401468800 backwards is 0088641048231
- 1328401468800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328401468800's digits is 45
- More coming soon!
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"Number 1328401468800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 1328401468800 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/1328401468800/
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The information we have on file for 1328401468800 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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