3428336294400
3,428,336,294,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 3428336294400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
3428336294400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 3428336294400:
29 × 3 × 52 × 412 × 173 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 41 × 173 × 307)See below for interesting mathematical facts about the number 3428336294400 from the Numbermatics database.
Names of 3428336294400
- Cardinal: 3428336294400 can be written as Three trillion, four hundred twenty-eight billion, three hundred thirty-six million, two hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.4283362944 × 1012
Factors of 3428336294400
Divisors of 3428336294400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 128 150 160 164 173 192 200 205 240 246 256 300 307 320 328 346 384 400 410 480 492 512 519 600 614 615 640 656 692 768 800 820 865 921 960 984 1025 1038 1200 1228 1230 1280 1312 1384 1535 1536 1600 1640 1681 1730 1842 1920 1968 2050 2076 2400 2456 2460 2560 2595 2624 2768 3070 3075 3200 3280 3362 3460 3684 3840 3936 4100 4152 4325 4605 4800 4912 4920 5043 5190 5248 5536 6140 6150 6400 6560 6724 6920 7093 7368 7675 7680 7872 8200 8304 8405 8650 9210 9600 9824 9840 10086 10380 10496 11072 12280 12300 12587 12800 12975 13120 13448 13840 14186 14736 15350 15744 16400 16608 16810 17300 18420 19200 19648 19680 20172 20760 20992 21279 22144 23025 24560 24600 25174 25215 25950 26240 26896 27680 28372 29472 30700 31488 32800 33216 33620 34600 35465 36840 37761 38400 39296 39360 40344 41520 42025 42558 44288 46050 49120 49200 50348 50430 51900 52480 53111 53792 55360 56744 58944 61400 62935 62976 65600 66432 67240 69200 70930 73680 75522 78592 78720 80688 83040 84050 85116 88576 92100 98240 98400 100696 100860 103800 104960 106222 106395 107584 110720 113488 117888 122800 125870 126075 131200 132864 134480 138400 141860 147360 151044 157184 157440 159333 161376 166080 168100 170232 177325 184200 188805 196480 196800 201392 201720 207600 212444 212790 215168 221440 226976 235776 245600 251740 252150 262400 265555 265728 268960 276800 283720 290813 294720 302088 314675 314880 318666 322752 332160 336200 340464 354650 368400 377610 392960 393600 402784 403440 415200 424888 425580 430336 442880 453952 471552 491200 503480 504300 516067 524800 531110 531975 537920 553600 567440 581626 589440 604176 629350 637332 645504 664320 672400 680928 709300 736800 755220 785920 787200 796665 805568 806880 830400 849776 851160 860672 872439 907904 944025 982400 1006960 1008600 1032134 1062220 1063950 1075840 1107200 1134880 1163252 1178880 1208352 1258700 1274664 1291008 1327775 1328640 1344800 1361856 1418600 1454065 1473600 1510440 1548201 1574400 1593330 1611136 1613760 1660800 1699552 1702320 1744878 1815808 1888050 1964800 2013920 2017200 2064268 2124440 2127900 2151680 2177551 2214400 2269760 2326504 2357760 2416704 2517400 2549328 2580335 2582016 2655550 2689600 2723712 2837200 2908130 2947200 3020880 3096402 3186660 3222272 3227520 3321600 3399104 3404640 3489756 3631616 3776100 3929600 3983325 4027840 4034400 4128536 4248880 4255800 4303360 4355102 4362195 4539520 4653008 4833408 5034800 5098656 5160670 5311100 5379200 5447424 5674400 5816260 5894400 6041760 6192804 6373320 6444544 6455040 6532653 6643200 6798208 6809280 6979512 7270325 7552200 7741005 7966650 8055680 8068800 8257072 8497760 8511600 8710204 8724390 9079040 9306016 9666816 10069600 10197312 10321340 10622200 10758400 10887755 10894848 11348800 11632520 11788800 12083520 12385608 12746640 12901675 12910080 13065306 13596416 13618560 13959024 14540650 15104400 15482010 15933300 16111360 16137600 16514144 16995520 17023200 17420408 17448780 18158080 18612032 19333632 20139200 20394624 20642680 21244400 21516800 21775510 21810975 22697600 23265040 24167040 24771216 25493280 25803350 26130612 27192832 27237120 27918048 29081300 30208800 30964020 31866600 32222720 32275200 32663265 33028288 33991040 34046400 34840816 34897560 37224064 38705025 40278400 40789248 41285360 42488800 43551020 43621950 45395200 46530080 48334080 49542432 50986560 51606700 52261224 54438775 54474240 55836096 58162600 60417600 61928040 63733200 64550400 65326530 66056576 67982080 68092800 69681632 69795120 74448128 77410050 80556800 81578496 82570720 84977600 87102040 87243900 89279591 90790400 93060160 96668160 99084864 101973120 103213400 104522448 108877550 111672192 116325200 120835200 123856080 127466400 130653060 132113152 135964160 136185600 139363264 139590240 148896256 154820100 161113600 163316325 165141440 169955200 174204080 174487800 178559182 186120320 198169728 203946240 206426800 209044896 217755100 223344384 232650400 241670400 247712160 254932800 261306120 264226304 267838773 272371200 278726528 279180480 309640200 326632650 330282880 339910400 348408160 348975600 357118364 372240640 396339456 407892480 412853600 418089792 435510200 446397955 446688768 465300800 483340800 495424320 509865600 522612240 535677546 557453056 558360960 619280400 653265300 660565760 679820800 696816320 697951200 714236728 744481280 792678912 825707200 836179584 871020400 892795910 930601600 990848640 1019731200 1045224480 1071355092 1114906112 1116721920 1238560800 1306530600 1321131520 1339193865 1393632640 1395902400 1428473456 1651414400 1672359168 1742040800 1785591820 1861203200 1981697280 2039462400 2090448960 2142710184 2231989775 2233443840 2477121600 2613061200 2678387730 2787265280 2791804800 2856946912 3302828800 3344718336 3484081600 3571183640 3722406400 3963394560 4180897920 4285420368 4463979550 4954243200 5226122400 5356775460 5574530560 5583609600 5713893824 6605657600 6695969325 6968163200 7142367280 8361795840 8570840736 8927959100 9908486400 10452244800 10713550920 11167219200 11427787648 13391938650 13936326400 14284734560 16723591680 17141681472 17855918200 19816972800 20904489600 21427101840 22855575296 26783877300 27872652800 28569469120 34283362944 35711836400 41808979200 42854203680 45711150592 53567754600 57138938240 68566725888 71423672800 83617958400 85708407360 107135509200 114277876480 137133451776 142847345600 171416814720 214271018400 228555752960 285694691200 342833629440 428542036800 571389382400 685667258880 857084073600 1142778764800 1714168147200 3428336294400
- Sum of all divisors σ(n): 11713388857632
- Sum of proper divisors (its aliquot sum) s(n): 8285052563232
- 3428336294400 is an abundant number, because the sum of its proper divisors (8285052563232) is greater than itself. Its abundance is 4856716268832
Bases of 3428336294400
- Binary: 1100011110001110001100010001011010000000002
- Hexadecimal: 0x31E38C45A00
- Base-36: 17QYEWUTC
Squares and roots of 3428336294400
- 3428336294400 squared (34283362944002) is 11753489747500323471360000
- 3428336294400 cubed (34283362944003) is 40294915487213650632603686928384000000
-
The
square root of 3428336294400 is 1851576.7049733585 -
The
cube root of 3428336294400 is 15078.6041059115
Scales and comparisons
How big is 3428336294400?- 3,428,336,294,400 seconds is equal to 109,010 years, 25 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 3,428,336,294,400 would take you about two hundred seventy-two thousand, five hundred twenty-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 3428336294400 cubic inches would be around 1256.6 feet tall.
Recreational maths with 3428336294400
- 3428336294400 backwards is 0044926338243
- 3428336294400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428336294400's digits is 48
- More coming soon!
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The information we have on file for 3428336294400 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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