1028400710400
1,028,400,710,400 is an even composite number composed of five prime numbers multiplied together.
1028400710400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 1028400710400:
28 × 33 × 52 × 73 × 17351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 17351)See below for interesting mathematical facts about the number 1028400710400 from the Numbermatics database.
Names of 1028400710400
- Cardinal: 1028400710400 can be written as One trillion, twenty-eight billion, four hundred million, seven hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.0284007104 × 1012
Factors of 1028400710400
Divisors of 1028400710400
- Number of divisors d(n): 864
-
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 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 252 256 270 280 288 294 300 315 320 336 343 350 360 378 384 392 400 420 432 441 448 450 480 490 504 525 540 560 576 588 600 630 640 672 675 686 700 720 735 756 768 784 800 840 864 882 896 900 945 960 980 1008 1029 1050 1080 1120 1152 1176 1200 1225 1260 1280 1323 1344 1350 1372 1400 1440 1470 1512 1568 1575 1600 1680 1715 1728 1764 1792 1800 1890 1920 1960 2016 2058 2100 2160 2205 2240 2304 2352 2400 2450 2520 2646 2688 2700 2744 2800 2880 2940 3024 3087 3136 3150 3200 3360 3430 3456 3528 3600 3675 3780 3840 3920 4032 4116 4200 4320 4410 4480 4704 4725 4800 4900 5040 5145 5292 5376 5400 5488 5600 5760 5880 6048 6174 6272 6300 6400 6615 6720 6860 6912 7056 7200 7350 7560 7840 8064 8232 8400 8575 8640 8820 8960 9261 9408 9450 9600 9800 10080 10290 10584 10800 10976 11025 11200 11520 11760 12096 12348 12544 12600 13230 13440 13720 14112 14400 14700 15120 15435 15680 16128 16464 16800 17150 17280 17351 17640 18522 18816 18900 19200 19600 20160 20580 21168 21600 21952 22050 22400 23520 24192 24696 25200 25725 26460 26880 27440 28224 28800 29400 30240 30870 31360 32928 33075 33600 34300 34560 34702 35280 37044 37632 37800 39200 40320 41160 42336 43200 43904 44100 44800 46305 47040 48384 49392 50400 51450 52053 52920 54880 56448 57600 58800 60480 61740 62720 65856 66150 67200 68600 69404 70560 74088 75600 77175 78400 80640 82320 84672 86400 86755 87808 88200 92610 94080 98784 100800 102900 104106 105840 109760 112896 117600 120960 121457 123480 131712 132300 134400 137200 138808 141120 148176 151200 154350 156159 156800 164640 169344 172800 173510 176400 185220 188160 197568 201600 205800 208212 211680 219520 231525 235200 241920 242914 246960 260265 263424 264600 274400 277616 282240 296352 302400 308700 312318 313600 329280 338688 347020 352800 364371 370440 395136 403200 411600 416424 423360 433775 439040 463050 468477 470400 485828 493920 520530 529200 548800 555232 564480 592704 604800 607285 617400 624636 658560 694040 705600 728742 740880 780795 790272 823200 832848 846720 850199 867550 926100 936954 940800 971656 987840 1041060 1058400 1093113 1097600 1110464 1185408 1209600 1214570 1234800 1249272 1301325 1317120 1388080 1411200 1457484 1481760 1561590 1646400 1665696 1693440 1700398 1735100 1821855 1852200 1873908 1943312 1975680 2082120 2116800 2186226 2195200 2220928 2342385 2370816 2429140 2469600 2498544 2550597 2602650 2776160 2822400 2914968 2963520 3036425 3123180 3279339 3292800 3331392 3400796 3470200 3643710 3704400 3747816 3886624 3903975 3951360 4164240 4233600 4250995 4372452 4441856 4684770 4858280 4939200 4997088 5101194 5205300 5465565 5552320 5829936 5927040 5951393 6072850 6246360 6558678 6585600 6662784 6801592 6940400 7287420 7408800 7495632 7651791 7773248 7807950 8328480 8467200 8501990 8744904 9109275 9369540 9716560 9878400 9994176 10202388 10410600 10931130 11104640 11659872 11711925 11854080 11902786 12145700 12492720 12752985 13117356 13325568 13603184 13880800 14574840 14817600 14991264 15303582 15546496 15615900 16396695 16656960 17003980 17489808 17854179 18218550 18739080 19433120 19756800 19988352 20404776 20821200 21254975 21862260 22209280 22955373 23319744 23423850 23805572 24291400 24985440 25505970 26234712 27206368 27327825 27761600 29149680 29635200 29756965 29982528 30607164 31092992 31231800 32793390 33313920 34007960 34979616 35708358 36437100 37478160 38258955 38866240 39976704 40809552 41642400 42509950 43724520 45910746 46639488 46847700 47611144 48582800 49970880 51011940 52469424 53562537 54412736 54655650 55523200 58299360 59270400 59513930 59965056 61214328 62463600 63764925 65586780 66627840 68015920 69959232 71416716 72874200 74956320 76517910 77732480 81619104 81983475 83284800 85019900 87449040 89270895 91821492 93278976 93695400 95222288 97165600 99941760 102023880 104938848 107125074 108825472 109311300 111046400 114776865 116598720 119027860 119930112 122428656 124927200 127529850 131173560 136031840 139918464 142833432 145748400 148784825 149912640 153035820 155464960 160687611 163238208 163966950 166569600 170039800 174898080 178541790 183642984 187390800 190444576 191294775 194331200 199883520 204047760 209877696 214250148 217650944 218622600 229553730 233197440 238055720 244857312 249854400 255059700 262347120 267812685 272063680 279836928 285666864 291496800 297569650 299825280 306071640 321375222 326476416 327933900 333139200 340079600 349796160 357083580 367285968 374781600 380889152 382589550 388662400 408095520 419755392 428500296 437245200 446354475 459107460 466394880 476111440 489714624 499708800 510119400 524694240 535625370 544127360 571333728 573884325 582993600 595139300 599650560 612143280 642750444 652952832 655867800 680159200 699592320 714167160 734571936 749563200 761778304 765179100 777324800 803438055 816191040 839510784 857000592 874490400 892708950 918214920 952222880 979429248 999417600 1020238800 1049388480 1071250740 1088254720 1142667456 1147768650 1165987200 1190278600 1224286560 1285500888 1311735600 1339063425 1360318400 1399184640 1428334320 1469143872 1499126400 1523556608 1530358200 1606876110 1632382080 1714001184 1748980800 1785417900 1836429840 1904445760 1958858496 2040477600 2098776960 2142501480 2285334912 2295537300 2331974400 2380557200 2448573120 2571001776 2623471200 2678126850 2720636800 2856668640 2938287744 2998252800 3060716400 3213752220 3264764160 3428002368 3497961600 3570835800 3672859680 3808891520 4017190275 4080955200 4197553920 4285002960 4570669824 4591074600 4761114400 4897146240 5142003552 5246942400 5356253700 5441273600 5713337280 5876575488 6121432800 6427504440 6856004736 6995923200 7141671600 7345719360 7617783040 8034380550 8161910400 8570005920 9182149200 9522228800 9794292480 10284007104 10493884800 10712507400 11426674560 12242865600 12855008880 13712009472 14283343200 14691438720 16068761100 16323820800 17140011840 18364298400 19044457600 20568014208 20987769600 21425014800 22853349120 24485731200 25710017760 28566686400 29382877440 32137522200 34280023680 36728596800 38088915200 41136028416 42850029600 48971462400 51420035520 57133372800 64275044400 68560047360 73457193600 85700059200 102840071040 114266745600 128550088800 146914387200 171400118400 205680142080 257100177600 342800236800 514200355200 1028400710400
- Sum of all divisors σ(n): 4397968512000
- Sum of proper divisors (its aliquot sum) s(n): 3369567801600
- 1028400710400 is an abundant number, because the sum of its proper divisors (3369567801600) is greater than itself. Its abundance is 2341167091200
Bases of 1028400710400
- Binary: 11101111011100010111010110000011000000002
- Hexadecimal: 0xEF71758300
- Base-36: D4FV8AO0
Squares and roots of 1028400710400
- 1028400710400 squared (10284007104002) is 1057608021151224668160000
- 1028400710400 cubed (10284007104003) is 1087644840276657674565748260864000000
-
The
square root of 1028400710400 is 1014100.9369880299 -
The
cube root of 1028400710400 is 10093.7866905267
Scales and comparisons
How big is 1028400710400?- 1,028,400,710,400 seconds is equal to 32,699 years, 50 weeks.
-
To count from 1 to 1,028,400,710,400 would take you about eighty-one thousand, seven hundred forty-nine 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 1028400710400 cubic inches would be around 841.1 feet tall.
Recreational maths with 1028400710400
- 1028400710400 backwards is 0040170048201
- 1028400710400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1028400710400's digits is 27
- More coming soon!
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