138952070400
138,952,070,400 is an even composite number composed of seven prime numbers multiplied together.
138952070400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138952070400:
28 × 3 × 52 × 11 × 132 × 17 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 13 × 17 × 229)See below for interesting mathematical facts about the number 138952070400 from the Numbermatics database.
Names of 138952070400
- Cardinal: 138952070400 can be written as One hundred thirty-eight billion, nine hundred fifty-two million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.389520704 × 1011
Factors of 138952070400
Divisors of 138952070400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 24 25 26 30 32 33 34 39 40 44 48 50 51 52 55 60 64 65 66 68 75 78 80 85 88 96 100 102 104 110 120 128 130 132 136 143 150 156 160 165 169 170 176 187 192 195 200 204 208 220 221 229 240 255 256 260 264 272 275 286 300 312 320 325 330 338 340 352 374 384 390 400 408 416 425 429 440 442 458 480 507 510 520 528 544 550 561 572 600 624 640 650 660 663 676 680 687 704 715 748 768 780 800 816 825 832 845 850 858 880 884 916 935 960 975 1014 1020 1040 1056 1088 1100 1105 1122 1144 1145 1200 1248 1275 1280 1300 1320 1326 1352 1360 1374 1408 1430 1496 1560 1600 1632 1650 1664 1690 1700 1716 1760 1768 1832 1859 1870 1920 1950 2028 2040 2080 2112 2145 2176 2200 2210 2244 2288 2290 2400 2431 2496 2519 2535 2550 2600 2640 2652 2704 2720 2748 2805 2816 2860 2873 2977 2992 3120 3200 3264 3300 3315 3328 3380 3400 3432 3435 3520 3536 3575 3664 3718 3740 3840 3893 3900 4056 4080 4160 4224 4225 4290 4352 4400 4420 4488 4576 4580 4675 4800 4862 4992 5038 5070 5100 5200 5280 5304 5408 5440 5496 5525 5577 5610 5720 5725 5746 5954 5984 6240 6400 6528 6600 6630 6760 6800 6864 6870 7040 7072 7150 7293 7328 7436 7480 7557 7786 7800 8112 8160 8320 8448 8450 8580 8619 8800 8840 8931 8976 9152 9160 9295 9350 9600 9724 9984 10076 10140 10200 10400 10560 10608 10725 10816 10880 10992 11050 11154 11220 11440 11450 11492 11679 11908 11968 12155 12480 12595 12675 13056 13200 13260 13520 13600 13728 13740 14025 14080 14144 14300 14365 14586 14656 14872 14885 14960 15114 15572 15600 16224 16320 16575 16640 16900 17160 17175 17238 17600 17680 17862 17952 18304 18320 18590 18700 19200 19448 19465 20152 20280 20400 20800 21120 21216 21450 21632 21760 21984 22100 22308 22440 22880 22900 22984 23358 23816 23936 24310 24960 25190 25350 26400 26520 27040 27200 27456 27480 27885 28050 28288 28600 28730 29172 29312 29744 29770 29920 30228 31144 31200 31603 32448 32640 32747 33150 33800 34320 34350 34476 35200 35360 35724 35904 36465 36608 36640 37180 37400 37785 38701 38896 38930 40304 40560 40800 41600 42240 42432 42823 42900 43095 43264 43968 44200 44616 44655 44880 45760 45800 45968 46475 46716 47632 47872 48620 49920 50380 50609 50700 52800 53040 54080 54400 54912 54960 55770 56100 56576 57200 57460 58344 58395 58624 59488 59540 59840 60456 60775 62288 62400 62975 63206 64896 65280 65494 66300 67600 68640 68700 68952 70400 70720 71448 71808 71825 72930 73280 74360 74425 74800 75570 77402 77792 77860 80608 81120 81600 83200 84864 85646 85800 86190 87936 88400 89232 89310 89760 91520 91600 91936 92950 93432 94809 95264 97240 97325 98241 100760 101218 101400 105600 106080 108160 108800 109824 109920 111540 112200 114400 114920 116103 116688 116790 118976 119080 119680 120912 121550 124576 124800 125950 126412 128469 129792 130988 132600 135200 137280 137400 137904 139425 141440 142896 143616 143650 145860 146560 148720 148850 149600 151140 151827 154804 155584 155720 158015 161216 162240 163200 163735 169728 171292 171600 172380 175872 176800 178464 178620 179520 182325 183040 183200 183872 185900 186864 188925 189618 190528 193505 194480 194650 196482 201520 202436 202800 211200 212160 214115 215475 216320 219840 223080 223275 224400 228800 229840 232206 233376 233580 237952 238160 239360 241824 243100 249152 249600 251900 252824 253045 256938 261976 265200 270400 274560 274800 275808 278850 282880 285792 287300 291720 291975 293120 297440 297700 299200 302280 303654 309608 311168 311440 316030 322432 324480 326400 327470 342584 343200 344760 353600 356928 357240 359040 364650 366400 367744 371800 373728 377850 379236 381056 387010 388960 389300 392964 403040 404872 405600 424320 425711 428230 430950 439680 446160 446550 448800 457600 459680 464412 466752 467160 474045 475904 476320 483648 486200 491205 498304 503800 505648 506090 513876 523952 530400 540800 549120 549600 551616 556699 557700 571584 574600 580515 583440 583950 594880 595400 598400 604560 607308 619216 622336 622880 632060 642345 644864 648960 654940 657917 685168 686400 689520 707200 713856 714480 718080 729300 732800 735488 743600 747456 755700 758472 759135 762112 774020 777920 778600 785928 790075 806080 809744 811200 818675 848640 851422 856460 861900 879360 892320 893100 897600 915200 919360 928824 933504 934320 948090 952640 967296 967525 972400 982410 996608 1007600 1011296 1012180 1027752 1047904 1060800 1070575 1081600 1099200 1103232 1113398 1115400 1143168 1149200 1161030 1166880 1167900 1189760 1190800 1196800 1209120 1214616 1238432 1245760 1264120 1265225 1277133 1284690 1309880 1315834 1370336 1372800 1379040 1414400 1427712 1428960 1458600 1465600 1487200 1494912 1511400 1516944 1518270 1548040 1555840 1557200 1571856 1580150 1612160 1619488 1622400 1637350 1670097 1702844 1712920 1723800 1784640 1786200 1795200 1838720 1857648 1867008 1868640 1896180 1905280 1934592 1935050 1944800 1964820 1973751 2015200 2022592 2024360 2055504 2095808 2121600 2128555 2141150 2198400 2206464 2226796 2230800 2286336 2298400 2322060 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8564600 8907184 8923200 9193600 9288240 9335040 9343200 9480900 9526400 9672960 9716928 9824100 9868755 9907456 10112960 10121800 10217064 10277520 10479040 10526672 10642775 10962688 11032320 11133980 11431680 11610300 11668800 11897600 12091200 12135552 12146160 12384320 12457600 12574848 12641200 12771330 12846900 12955904 13098800 13158340 13360776 13622752 13703360 13790400 13917475 14289600 14474174 14861184 14949120 15169440 15182700 15480400 15558400 15718560 15790008 16121600 16194880 16444032 16447925 16700970 17028440 17129200 17814368 17846400 18387200 18576480 18686400 18961800 19052800 19433856 19648200 19737510 20225920 20243600 20434128 20555040 20958080 21053344 21285550 21711261 22267960 23220600 23337600 24182400 24271104 24292320 24768640 24915200 25149696 25282400 25542660 25693800 26197600 26316680 26721552 27245504 27406720 27580800 27834950 28579200 28948348 29722368 30338880 30365400 30960800 31437120 31580016 31928325 32389760 32888064 32895850 33401940 34056880 34258400 35628736 35692800 36185435 37152960 37372800 37923600 38867712 39296400 39475020 40451840 40487200 40868256 41110080 41752425 41916160 42106688 42571100 43422522 44535920 46441200 46675200 48364800 48584640 49343775 49537280 50564800 51085320 51387600 52395200 52633360 53443104 54491008 54813440 55161600 55669900 57158400 57896696 60677760 60730800 61921600 62874240 63160032 63856650 64779520 65791700 66803880 68113760 68516800 71257472 72370870 74305920 74745600 75847200 78592800 78950040 80974400 81736512 82220160 83504850 84213376 85142200 86845044 89071840 92882400 97169280 98687550 101129600 102170640 102775200 104790400 105266720 106886208 108556305 108982016 111339800 115793392 121355520 121461600 123843200 125748480 126320064 127713300 131583400 133607760 136227520 137033600 142514944 144741740 148611840 151694400 157185600 157900080 161948800 163473024 164440320 167009700 168426752 170284400 173690088 178143680 180927175 185764800 194338560 197375100 202259200 204341280 205550400 209580800 210533440 213772416 217112610 222679600 231586784 242923200 247686400 252640128 255426600 263166800 267215520 272455040 274067200 289483480 303388800 314371200 315800160 323897600 326946048 334019400 340568800 347380176 356287360 361854350 371529600 394750200 408682560 411100800 421066880 427544832 434225220 445359200 463173568 485846400 505280256 510853200 526333600 534431040 542781525 544910080 578966960 606777600 628742400 631600320 668038800 681137600 694760352 712574720 723708700 743059200 789500400 817365120 822201600 842133760 868450440 890718400 926347136 971692800 1021706400 1052667200 1068862080 1085563050 1157933920 1263200640 1336077600 1362275200 1389520704 1447417400 1579000800 1634730240 1736900880 1781436800 1852694272 2043412800 2105334400 2137724160 2171126100 2315867840 2526401280 2672155200 2724550400 2779041408 2894834800 3158001600 3473801760 3562873600 4086825600 4210668800 4342252200 4631735680 5344310400 5558082816 5789669600 6316003200 6947603520 8173651200 8684504400 9263471360 10688620800 11579339200 12632006400 13895207040 17369008800 23158678400 27790414080 34738017600 46317356800 69476035200 138952070400
- Sum of all divisors σ(n): 576070004160
- Sum of proper divisors (its aliquot sum) s(n): 437117933760
- 138952070400 is an abundant number, because the sum of its proper divisors (437117933760) is greater than itself. Its abundance is 298165863360
Bases of 138952070400
- Binary: 100000010110100011000001010101000000002
- Hexadecimal: 0x205A305500
- Base-36: 1RU0H3PC
Squares and roots of 138952070400
- 138952070400 squared (1389520704002) is 19307677868446556160000
- 138952070400 cubed (1389520704003) is 2682841814436907810181873664000000
-
The
square root of 138952070400 is 372762.7535041557 -
The
cube root of 138952070400 is 5179.5060027907
Scales and comparisons
How big is 138952070400?- 138,952,070,400 seconds is equal to 4,418 years, 12 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 138,952,070,400 would take you about eight thousand, eight hundred thirty-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 138952070400 cubic inches would be around 431.6 feet tall.
Recreational maths with 138952070400
- 138952070400 backwards is 004070259831
- 138952070400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138952070400's digits is 39
- More coming soon!
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The information we have on file for 138952070400 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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