137942330400
137,942,330,400 is an even composite number composed of six prime numbers multiplied together.
137942330400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137942330400:
25 × 33 × 52 × 72 × 472 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 47 × 47 × 59)See below for interesting mathematical facts about the number 137942330400 from the Numbermatics database.
Names of 137942330400
- Cardinal: 137942330400 can be written as One hundred thirty-seven billion, nine hundred forty-two million, three hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.379423304 × 1011
Factors of 137942330400
Divisors of 137942330400
- Number of divisors d(n): 1296
-
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 47 48 49 50 54 56 59 60 63 70 72 75 80 84 90 94 96 98 100 105 108 112 118 120 126 135 140 141 144 147 150 160 168 175 177 180 188 189 196 200 210 216 224 225 235 236 240 245 252 270 280 282 288 294 295 300 315 329 336 350 354 360 376 378 392 400 413 420 423 432 441 450 470 472 480 490 504 525 531 540 560 564 588 590 600 630 658 672 675 700 705 708 720 735 752 756 784 800 826 840 846 864 882 885 900 940 944 945 980 987 1008 1050 1062 1080 1120 1128 1175 1176 1180 1200 1225 1239 1260 1269 1316 1323 1350 1400 1410 1416 1440 1470 1475 1504 1512 1568 1575 1593 1645 1652 1680 1692 1764 1770 1800 1880 1888 1890 1960 1974 2016 2065 2100 2115 2124 2160 2205 2209 2256 2303 2350 2352 2360 2400 2450 2478 2520 2538 2632 2646 2655 2700 2773 2800 2820 2832 2891 2940 2950 2961 3024 3150 3186 3290 3304 3360 3384 3525 3528 3540 3600 3675 3717 3760 3780 3920 3948 4130 4200 4230 4248 4320 4410 4418 4425 4512 4606 4700 4704 4720 4725 4900 4935 4956 5040 5076 5264 5292 5310 5400 5546 5600 5640 5664 5782 5880 5900 5922 6048 6195 6300 6345 6372 6580 6608 6615 6627 6768 6909 7050 7056 7080 7200 7350 7434 7520 7560 7840 7896 7965 8225 8260 8319 8400 8460 8496 8673 8820 8836 8850 8883 9212 9400 9440 9450 9800 9870 9912 10080 10152 10325 10528 10575 10584 10620 10800 11025 11045 11092 11151 11280 11515 11564 11760 11800 11844 12390 12600 12690 12744 13160 13216 13230 13254 13275 13536 13818 13865 14100 14112 14160 14455 14700 14805 14868 15120 15463 15792 15930 16450 16520 16638 16800 16920 16992 17346 17640 17672 17700 17766 18424 18585 18800 18900 19411 19600 19740 19824 19881 20304 20650 20727 21150 21168 21240 21600 22050 22090 22184 22302 22560 23030 23128 23520 23600 23688 24675 24780 24957 25200 25380 25488 26019 26320 26460 26508 26550 27636 27730 28200 28320 28910 29400 29610 29736 30240 30926 30975 31584 31725 31860 32900 33040 33075 33135 33276 33840 34545 34692 35280 35344 35400 35532 36848 37170 37600 37800 38822 39200 39480 39648 39762 39825 40608 41300 41454 41595 42300 42336 42480 43365 44100 44180 44368 44415 44604 46060 46256 46389 47200 47376 49350 49560 49914 50400 50760 50976 52038 52640 52920 53016 53100 55225 55272 55460 55755 56400 57575 57820 58233 58800 59220 59472 59643 61852 61950 62181 63450 63720 65800 66080 66150 66270 66552 67680 69090 69325 69384 70560 70688 70800 71064 72275 73696 74025 74340 74871 75600 77315 77644 78057 78960 79524 79650 82600 82908 83190 84600 84960 86730 88200 88360 88736 88830 89208 92120 92512 92778 92925 94752 97055 98700 99120 99405 99828 101520 103635 104076 105840 106032 106200 108241 110450 110544 110920 111510 112800 115150 115640 116466 117600 118440 118944 119286 123704 123900 124362 124785 126900 127440 130095 130331 131600 132300 132540 133104 135877 138180 138650 138768 139167 141600 142128 144550 148050 148680 149742 151200 154630 155288 156114 157920 159048 159300 165200 165675 165816 166380 169200 172725 173460 174699 176400 176720 177660 178416 184240 185556 185850 194110 197400 198240 198810 199656 203040 207270 207975 208152 211680 212064 212400 216482 216825 220900 221088 221840 222075 223020 230300 231280 231945 232932 236880 238572 247408 247800 248724 249570 253800 254880 260190 260662 263200 264600 265080 266208 271754 276360 277300 277536 278334 278775 284256 289100 291165 296100 297360 298215 299484 309260 310576 310905 312228 318096 318600 324723 330400 331350 331632 332760 338400 345450 346920 349398 352800 353440 355320 356832 368480 371112 371700 374355 386575 388220 390285 390993 394800 397620 399312 407631 414540 415950 416304 417501 424800 432964 433650 441800 443680 444150 446040 460600 462560 463890 465864 473760 477144 485275 494816 495600 497025 497448 499140 507600 518175 520380 521324 524097 529200 530160 541205 543508 552720 554600 556668 557550 578200 582330 592200 594720 596430 598968 618520 621152 621810 623925 624456 636192 637200 649446 650475 651655 662700 663264 665520 679385 690900 693840 695835 698796 710640 742224 743400 748710 773150 776440 780570 781986 789600 795240 798624 815262 829080 831900 832608 835002 865928 867300 873495 883600 888300 892080 912317 921200 927780 931728 954288 970550 974169 991200 994050 994896 998280 1015200 1036350 1040760 1042648 1048194 1058400 1060320 1082410 1087016 1105440 1109200 1113336 1115100 1156400 1159725 1164660 1172979 1184400 1192860 1197936 1222893 1237040 1243620 1247850 1248912 1274400 1298892 1300950 1303310 1325400 1331040 1358770 1381800 1387680 1391670 1397592 1421280 1455825 1484448 1486800 1491075 1497420 1546300 1552880 1554525 1561140 1563972 1590480 1623615 1630524 1658160 1663800 1670004 1731856 1734600 1746990 1767200 1776600 1784160 1824634 1842400 1855560 1863456 1871775 1908576 1941100 1948338 1951425 1954965 1988100 1989792 1996560 2038155 2072700 2081520 2085296 2087505 2096388 2164820 2174032 2218400 2226672 2230200 2312800 2319450 2329320 2345958 2368800 2385720 2395872 2445786 2474080 2487240 2495700 2497824 2597784 2601900 2606620 2620485 2650800 2706025 2717540 2736951 2763600 2783340 2795184 2911650 2922507 2973600 2982150 2994840 3092600 3105760 3109050 3122280 3127944 3180960 3247230 3258275 3261048 3316320 3327600 3340008 3396925 3463712 3469200 3479175 3493980 3518937 3553200 3649268 3668679 3711120 3743550 3882200 3896676 3902850 3909930 3976200 3993120 4076310 4145400 4163040 4170592 4175010 4192776 4329640 4348064 4367475 4453344 4460400 4561585 4638900 4658640 4691916 4771440 4870845 4891572 4974480 4991400 5195568 5203800 5213240 5240970 5301600 5412050 5435080 5473902 5527200 5566680 5590368 5823300 5845014 5864895 5964300 5989680 6114465 6185200 6218100 6244560 6255888 6386219 6494460 6516550 6522096 6655200 6680016 6793850 6938400 6958350 6987960 7037874 7106400 7298536 7337358 7422240 7487100 7764400 7793352 7805700 7819860 7952400 8118075 8152620 8210853 8290800 8350020 8385552 8659280 8734950 8920800 9123170 9277800 9317280 9383832 9542880 9741690 9774825 9783144 9948960 9982800 10190775 10391136 10407600 10426480 10437525 10481940 10824100 10870160 10947804 11133360 11646600 11690028 11729790 11928600 11979360 12228930 12370400 12436200 12489120 12511776 12772438 12988920 13033100 13044192 13102425 13360032 13587700 13684755 13916700 13975920 14075748 14597072 14612535 14674716 14974200 15528800 15586704 15611400 15639720 15904800 16236150 16305240 16421706 16581600 16700040 16771104 17318560 17469900 17594685 18246340 18343395 18555600 18767664 19158657 19483380 19549650 19566288 19965600 20381550 20815200 20852960 20875050 20963880 21648200 21740320 21895608 22266720 22807925 23293200 23380056 23459580 23857200 24354225 24457860 24632559 24872400 25544876 25977840 26066200 26204850 27175400 27369510 27833400 27951840 28151496 29194144 29225070 29324475 29349432 29948400 30572325 31173408 31222800 31279440 31931095 32472300 32610480 32843412 33400080 34939800 35189370 36492680 36686790 37111200 37535328 38317314 38966760 39099300 39132576 40763100 41054265 41750100 41927760 43296400 43791216 45615850 46586400 46760112 46919160 47714400 48708450 48915720 49265118 49744800 51089752 51955680 52132400 52409700 54350800 54739020 55666800 56302992 57475971 58450140 58648950 58698864 59896800 61144650 62445600 62558880 63862190 64944600 65220960 65686824 66800160 68423775 69879600 70378740 72985360 73062675 73373580 76634628 77933520 78198600 81526200 82108530 83500200 83855520 86592800 87582432 87973425 91231700 91716975 93520224 93838320 95793285 97416900 97831440 98530236 102179504 104264800 104819400 108701600 109478040 111333600 112605984 114951942 116900280 117297900 117397728 122289300 123162795 127724380 129889200 131373648 136847550 139759200 140757480 145970720 146125350 146747160 153269256 155867040 156397200 159655475 163052400 164217060 167000400 172427913 175946850 182463400 183433950 187676640 191586570 194833800 195662880 197060472 204359008 205271325 209638800 218956080 229903884 233800560 234595800 244578600 246325590 255448760 259778400 262747296 273695100 281514960 287379855 292250700 293494320 306538512 312794400 319310950 326104800 328434120 334000800 344855826 351893700 364926800 366867900 383173140 389667600 394120944 410542650 419277600 437912160 459807768 467601120 469191600 478966425 489157200 492651180 510897520 547390200 563029920 574759710 584501400 586988640 613077024 615813975 638621900 656868240 689711652 703787400 729853600 733735800 766346280 779335200 788241888 821085300 862139565 919615536 938383200 957932850 978314400 985302360 1021795040 1094780400 1149519420 1169002800 1231627950 1277243800 1313736480 1379423304 1407574800 1436899275 1467471600 1532692560 1642170600 1724279130 1839231072 1915865700 1970604720 2189560800 2299038840 2338005600 2463255900 2554487600 2758846608 2815149600 2873798550 2934943200 3065385120 3284341200 3448558260 3831731400 3941209440 4310697825 4598077680 4926511800 5108975200 5517693216 5747597100 6568682400 6897116520 7663462800 8621395650 9196155360 9853023600 11495194200 13794233040 15326925600 17242791300 19706047200 22990388400 27588466080 34485582600 45980776800 68971165200 137942330400
- Sum of all divisors σ(n): 603003592800
- Sum of proper divisors (its aliquot sum) s(n): 465061262400
- 137942330400 is an abundant number, because the sum of its proper divisors (465061262400) is greater than itself. Its abundance is 327118932000
Bases of 137942330400
- Binary: 100000000111100000000011101100001000002
- Hexadecimal: 0x201E00EC20
- Base-36: 1RDBAVC0
Squares and roots of 137942330400
- 137942330400 squared (1379423304002) is 19028086516182764160000
- 137942330400 cubed (1379423304003) is 2624778597095067800543998464000000
-
The
square root of 137942330400 is 371405.8836367567 -
The
cube root of 137942330400 is 5166.9293060153
Scales and comparisons
How big is 137942330400?- 137,942,330,400 seconds is equal to 4,386 years, 7 weeks, 1 day, 18 hours.
-
To count from 1 to 137,942,330,400 would take you about eight thousand, seven hundred seventy-two 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 137942330400 cubic inches would be around 430.6 feet tall.
Recreational maths with 137942330400
- 137942330400 backwards is 004033249731
- 137942330400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137942330400's digits is 36
- More coming soon!
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The information we have on file for 137942330400 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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