57131138400
57,131,138,400 is an even composite number composed of six prime numbers multiplied together.
57131138400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 57131138400:
25 × 3 × 52 × 72 × 172 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 41 × 41)See below for interesting mathematical facts about the number 57131138400 from the Numbermatics database.
Names of 57131138400
- Cardinal: 57131138400 can be written as Fifty-seven billion, one hundred thirty-one million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 5.71311384 × 1010
Factors of 57131138400
Divisors of 57131138400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 41 42 48 49 50 51 56 60 68 70 75 80 82 84 85 96 98 100 102 105 112 119 120 123 136 140 147 150 160 164 168 170 175 196 200 204 205 210 224 238 240 245 246 255 272 280 287 289 294 300 328 336 340 350 357 392 400 408 410 420 425 476 480 490 492 510 525 544 560 574 578 588 595 600 615 656 672 680 697 700 714 735 784 800 816 820 833 840 850 861 867 952 980 984 1020 1025 1050 1120 1148 1156 1176 1190 1200 1225 1230 1275 1312 1360 1394 1400 1428 1435 1445 1470 1568 1632 1640 1666 1680 1681 1700 1722 1734 1785 1904 1960 1968 2009 2023 2040 2050 2091 2100 2296 2312 2352 2380 2400 2450 2460 2499 2550 2720 2788 2800 2856 2870 2890 2940 2975 3075 3280 3332 3360 3362 3400 3444 3468 3485 3570 3675 3808 3920 3936 4018 4046 4080 4100 4165 4182 4200 4305 4335 4592 4624 4704 4760 4879 4900 4920 4998 5043 5100 5576 5600 5712 5740 5780 5880 5950 6027 6069 6150 6560 6664 6724 6800 6888 6936 6970 7140 7175 7225 7350 7840 8036 8092 8160 8200 8330 8364 8400 8405 8610 8670 8925 9184 9248 9520 9758 9800 9840 9996 10045 10086 10115 10200 10455 11152 11424 11480 11560 11760 11767 11849 11900 12054 12138 12300 12495 13328 13448 13600 13776 13872 13940 14161 14280 14350 14450 14637 14700 16072 16184 16400 16660 16728 16800 16810 17220 17340 17425 17850 19040 19516 19600 19680 19992 20090 20172 20230 20400 20825 20910 21525 21675 22304 22960 23120 23520 23534 23698 23800 24108 24276 24395 24600 24990 25215 26656 26896 27552 27744 27880 28322 28560 28577 28700 28900 29274 29400 30135 30345 32144 32368 32800 33320 33456 33620 34153 34440 34680 34850 35301 35547 35700 39032 39200 39984 40180 40344 40460 40800 41650 41820 42025 42483 43050 43350 45920 46240 47068 47396 47600 48216 48552 48790 49200 49980 50225 50430 50575 52275 53792 55760 56644 57120 57154 57400 57800 58548 58800 58835 59245 60270 60690 62475 64288 64736 66640 66912 67240 68306 68880 69360 69700 70602 70805 71094 71400 73185 78064 79968 80360 80688 80920 82369 82943 83300 83640 84050 84966 85731 86100 86700 94136 94792 95200 96432 97104 97580 98400 99960 100450 100860 101150 102459 104550 111520 113288 114308 114800 115600 117096 117600 117670 118490 120540 121380 121975 124950 126075 133280 134480 136612 137760 138720 139400 141204 141610 142188 142800 142885 146370 150675 151725 156128 160720 161376 161840 164738 165886 166600 167280 168100 169932 170765 171462 172200 173400 176505 177735 188272 189584 192864 194208 195160 199920 200039 200900 201720 202300 204918 209100 212415 226576 228616 229600 231200 234192 235340 236980 241080 242760 243950 247107 248829 249900 252150 268960 273224 278800 282408 283220 284376 285600 285770 292740 294175 296225 301350 303450 321440 323680 329476 331772 333200 334560 336200 339864 341530 342924 344400 346800 353010 354025 355470 365925 376544 379168 390320 399840 400078 401800 403440 404600 409836 411845 414715 418200 424830 428655 453152 457232 468384 470680 473960 482160 485520 485809 487900 494214 497658 499800 504300 512295 546448 557600 564816 566440 568752 571540 580601 585480 588350 592450 600117 602700 606900 658952 663544 666400 672400 679728 683060 685848 688800 693600 706020 708050 710940 714425 731850 780640 800156 803600 806880 809200 819672 823690 829430 836400 849660 853825 857310 882525 888675 914464 941360 947920 964320 971040 971618 975800 988428 995316 999600 1000195 1008600 1024590 1062075 1092896 1129632 1132880 1137504 1143080 1161202 1170960 1176700 1184900 1200234 1205400 1213800 1235535 1244145 1317904 1327088 1344800 1359456 1366120 1371696 1400273 1412040 1416100 1421880 1428850 1457427 1463700 1600312 1607200 1618400 1639344 1647380 1658860 1672800 1699320 1707650 1714620 1741803 1765050 1777350 1882720 1895840 1943236 1951600 1976856 1990632 1999200 2000390 2017200 2049180 2059225 2073575 2124150 2143275 2265760 2286160 2322404 2341920 2353400 2369800 2400468 2410800 2427600 2429045 2471070 2488290 2561475 2635808 2654176 2732240 2743392 2800546 2824080 2832200 2843760 2857700 2903005 2914854 2927400 3000585 3200624 3278688 3294760 3317720 3398640 3400663 3415300 3429240 3483606 3530100 3554700 3886472 3903200 3953712 3981264 4000780 4034400 4098360 4118450 4147150 4200819 4248300 4286550 4572320 4644808 4706800 4739600 4800936 4821600 4855200 4858090 4942140 4976580 5000975 5122950 5464480 5601092 5648160 5664400 5687520 5715400 5806010 5829708 5854800 6001170 6177675 6220725 6401248 6589520 6635440 6797280 6801326 6830600 6858480 6967212 7001365 7060200 7109400 7287135 7772944 7907424 7962528 8001560 8196720 8236900 8294300 8401638 8496600 8573100 8709015 9289616 9413600 9479200 9601872 9716180 9884280 9953160 10001950 10201989 10245900 11202184 11328800 11430800 11612020 11659416 11709600 12002340 12145225 12355350 12441450 13179040 13270880 13602652 13661200 13716960 13934424 14002730 14120400 14218800 14515025 14574270 15002925 15545888 16003120 16393440 16473800 16588600 16803276 16993200 17003315 17146200 17418030 18579232 19203744 19432360 19768560 19906320 20003900 20403978 20491800 21004095 22404368 22861600 23224040 23318832 23804641 24004680 24290450 24710700 24882900 27205304 27322400 27868848 28005460 28240800 28437600 29030050 29148540 30005850 32006240 32947600 33177200 33606552 33986400 34006630 34292400 34836060 35006825 36435675 38864720 39537120 39812640 40007800 40807956 40983600 42008190 43545075 44808736 46448080 46637664 47609282 48009360 48580900 49421400 49765800 51009945 54410608 55737696 56010920 58060100 58297080 60011700 65895200 66354400 67213104 68013260 68584800 69672120 70013650 71413923 72871350 77729440 80015600 81615912 81967200 84016380 85016575 87090150 92896160 95218564 96018720 97161800 98842800 99531600 102019890 105020475 108821216 112021840 116120200 116594160 119023205 120023400 134426208 136026520 139344240 140027300 142827846 145742700 160031200 163231824 168032760 170033150 174180300 190437128 194323600 197685600 199063200 204039780 210040950 224043680 232240400 233188320 238046410 240046800 255049725 272053040 278688480 280054600 285655692 291485400 326463648 336065520 340066300 348360600 357069615 380874256 388647200 408079560 420081900 464480800 476092820 480093600 510099450 544106080 560109200 571311384 582970800 595116025 672131040 680132600 696721200 714139230 761748512 816159120 840163800 952185640 1020198900 1120218400 1142622768 1165941600 1190232050 1360265200 1393442400 1428278460 1632318240 1680327600 1785348075 1904371280 2040397800 2285245536 2380464100 2720530400 2856556920 3360655200 3570696150 3808742560 4080795600 4760928200 5713113840 7141392300 8161591200 9521856400 11426227680 14282784600 19043712800 28565569200 57131138400
- Sum of all divisors σ(n): 235537869924
- Sum of proper divisors (its aliquot sum) s(n): 178406731524
- 57131138400 is an abundant number, because the sum of its proper divisors (178406731524) is greater than itself. Its abundance is 121275593124
Bases of 57131138400
- Binary: 1101010011010100011111111101011000002
- Hexadecimal: 0xD4D47FD60
- Base-36: Q8UEKIO
Squares and roots of 57131138400
- 57131138400 squared (571311384002) is 3263966974879954560000
- 57131138400 cubed (571311384003) is 186474148974896007353071104000000
-
The
square root of 57131138400 is 239021.2091007823 -
The
cube root of 57131138400 is 3851.4502525353
Scales and comparisons
How big is 57131138400?- 57,131,138,400 seconds is equal to 1,816 years, 30 weeks, 6 days, 40 minutes.
-
To count from 1 to 57,131,138,400 would take you about three thousand, six 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 57131138400 cubic inches would be around 321 feet tall.
Recreational maths with 57131138400
- 57131138400 backwards is 00483113175
- The number of decimal digits it has is: 11
- The sum of 57131138400's digits is 33
- More coming soon!
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