138147004800
138,147,004,800 is an even composite number composed of seven prime numbers multiplied together.
138147004800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138147004800:
27 × 32 × 52 × 7 × 17 × 173 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 173 × 233)See below for interesting mathematical facts about the number 138147004800 from the Numbermatics database.
Names of 138147004800
- Cardinal: 138147004800 can be written as One hundred thirty-eight billion, one hundred forty-seven million, four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381470048 × 1011
Factors of 138147004800
Divisors of 138147004800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 126 128 136 140 144 150 153 160 168 170 173 175 180 192 200 204 210 224 225 233 238 240 252 255 272 280 288 300 306 315 320 336 340 346 350 357 360 384 400 408 420 425 448 450 466 476 480 504 510 519 525 544 560 576 595 600 612 630 640 672 680 692 699 700 714 720 765 800 816 840 850 865 896 900 932 952 960 1008 1020 1038 1050 1071 1088 1120 1152 1165 1190 1200 1211 1224 1260 1275 1344 1360 1384 1398 1400 1428 1440 1530 1557 1575 1600 1631 1632 1680 1700 1730 1785 1800 1864 1904 1920 2016 2040 2076 2097 2100 2142 2176 2240 2330 2380 2400 2422 2448 2520 2550 2595 2688 2720 2768 2796 2800 2856 2880 2941 2975 3060 3114 3150 3200 3262 3264 3360 3400 3460 3495 3570 3600 3633 3728 3808 3825 3961 4032 4080 4152 4194 4200 4284 4325 4480 4660 4760 4800 4844 4893 4896 5040 5100 5190 5355 5440 5536 5592 5600 5712 5760 5825 5882 5950 6055 6120 6228 6300 6524 6528 6720 6800 6920 6990 7140 7200 7266 7456 7616 7650 7785 7922 8064 8155 8160 8304 8388 8400 8568 8650 8823 8925 9320 9520 9600 9688 9786 9792 10080 10200 10380 10485 10710 10880 10899 11072 11184 11200 11424 11650 11764 11883 11900 12110 12240 12456 12600 12975 13048 13440 13600 13840 13980 14280 14400 14532 14679 14705 14912 15232 15300 15570 15844 16310 16320 16608 16776 16800 17136 17300 17475 17646 17850 18165 18640 19040 19376 19572 19584 19805 20160 20400 20587 20760 20970 21420 21798 22144 22368 22400 22848 23300 23528 23766 23800 24220 24465 24480 24912 25200 25950 26096 26469 26775 27200 27680 27727 27960 28560 28800 29064 29358 29410 29824 30275 30600 31140 31688 32620 32640 33216 33552 33600 34272 34600 34950 35292 35649 35700 36330 37280 38080 38752 38925 39144 39610 40309 40320 40775 40800 41174 41520 41940 42840 43596 44115 44736 45696 46600 47056 47532 47600 48440 48930 48960 49824 50400 51900 52192 52425 52938 53550 54400 54495 55360 55454 55920 57120 58128 58716 58820 59415 60550 61200 61761 62280 63376 65240 66432 67104 67200 68544 69200 69900 70584 71298 71400 72660 73395 73525 74560 76160 77504 77850 78288 79220 80618 81550 81600 82348 83040 83181 83880 85680 87192 88230 89472 90825 93200 94112 95064 95200 96880 97860 97920 99025 99648 100800 102935 103800 104384 104850 105876 107100 108990 110720 110908 111840 114240 116256 117432 117640 118830 120927 121100 122325 122400 123522 124560 126752 130480 132345 134208 137088 138400 138635 139800 141168 142596 142800 145320 146790 147050 149120 155008 155700 156576 158440 161236 163100 163200 164696 166080 166362 167760 171360 174384 176460 178245 181650 185283 186400 188224 190128 190400 193760 195720 198050 199296 201545 201600 205870 207600 208768 209700 211752 214200 217980 220575 221816 223680 228480 232512 234864 235280 237660 241854 242200 244650 244800 247044 249120 249543 253504 260960 264690 268416 272475 276800 277270 279600 282163 282336 285192 285600 290640 293580 294100 297075 308805 311400 313152 316880 322472 326200 329392 332160 332724 335520 342720 348768 352920 356490 362781 363300 366975 370566 372800 376448 380256 380800 387520 391440 396100 403090 411740 415200 415905 419400 423504 428400 435960 441150 443632 447360 465024 469728 470560 475320 483708 484400 489300 489600 494088 498240 499086 507008 514675 521920 529380 544950 553600 554540 559200 564326 564672 570384 571200 581280 587160 588200 594150 604635 617610 622800 626304 633760 644944 652400 658784 661725 665448 671040 685253 685440 693175 697536 705840 712980 725562 726600 733950 741132 745600 760512 775040 782880 792200 806180 823480 830400 831810 838800 846489 847008 856800 871920 882300 887264 891225 926415 939456 941120 950640 967416 968800 978600 988176 996480 998172 1007725 1029350 1043840 1058760 1089900 1109080 1118400 1128652 1129344 1140768 1142400 1162560 1174320 1176400 1188300 1209270 1235220 1245600 1247715 1267520 1289888 1304800 1317568 1323450 1330896 1342080 1370506 1386350 1395072 1410815 1411680 1425960 1451124 1453200 1467900 1482264 1521024 1544025 1565760 1584400 1612360 1646960 1660800 1663620 1677600 1692978 1694016 1713600 1743840 1764600 1774528 1782450 1813905 1852830 1878912 1882240 1901280 1934832 1937600 1957200 1976352 1996344 2015450 2055759 2058700 2079525 2117520 2179800 2218160 2236800 2257304 2281536 2325120 2348640 2352800 2376600 2418540 2470440 2491200 2495430 2535040 2539467 2579776 2609600 2635136 2646900 2661792 2741012 2772700 2821630 2823360 2851920 2902248 2906400 2935800 2964528 3023175 3088050 3131520 3168800 3224720 3293920 3327240 3355200 3385956 3388032 3426265 3427200 3487680 3529200 3549056 3564900 3627810 3705660 3802560 3869664 3875200 3914400 3952704 3992688 4030900 4111518 4117400 4159050 4232445 4235040 4359600 4436320 4514608 4563072 4632075 4697280 4705600 4753200 4796771 4837080 4940880 4982400 4990860 5078934 5159552 5219200 5293800 5323584 5482024 5545400 5643260 5646720 5703840 5804496 5812800 5871600 5929056 6046350 6167277 6176100 6238575 6337600 6449440 6587840 6654480 6710400 6771912 6852530 6975360 7054075 7058400 7129800 7255620 7411320 7605120 7739328 7828800 7905408 7985376 8061800 8223036 8234800 8318100 8464890 8470080 8719200 8872640 9029216 9069525 9264150 9394560 9411200 9506400 9593542 9674160 9881760 9981720 10157868 10278795 10587600 10647168 10964048 11090800 11286520 11407680 11608992 11625600 11743200 11858112 12092700 12334554 12352200 12477150 12675200 12697335 12898880 13175680 13308960 13543824 13705060 14108150 14116800 14259600 14390313 14511240 14822640 15478656 15657600 15970752 16123600 16446072 16469600 16636200 16929780 16940160 17131325 17438400 17745280 18058432 18139050 18528300 19012800 19187084 19348320 19763520 19963440 20315736 20557590 21162225 21175200 21928096 22181600 22573040 22815360 23217984 23486400 23716224 23983855 24185400 24669108 24704400 24954300 25394670 25797760 26617920 27087648 27410120 28216300 28233600 28519200 28780626 29022480 29645280 30836385 31941504 32247200 32892144 32939200 33272400 33859560 34262650 34876800 36116864 36278100 37056600 38025600 38374168 38696640 39527040 39926880 40631472 41115180 42324450 42350400 43170939 43856192 44363200 45146080 46435968 46972800 47967710 48370800 49338216 49408800 49908600 50789340 51393975 53235840 54175296 54820240 56432600 57038400 57561252 58044960 59290560 61672770 63486675 64494400 65784288 65878400 66544800 67719120 68525300 71951565 72556200 74113200 76748336 77393280 79853760 81262944 82230360 84648900 84700800 86341878 87712384 88726400 90292160 95935420 96741600 98676432 98817600 99817200 101578680 102787950 108350592 109640480 112865200 114076800 115122504 116089920 118581120 119919275 123345540 126973350 128988800 131568576 133089600 135438240 137050600 143903130 145112400 148226400 153496672 154181925 159707520 162525888 164460720 169297800 172683756 180584320 191870840 193483200 197352864 197635200 199634400 203157360 205575900 215854695 219280960 225730400 230245008 232179840 239838550 246691080 253946700 263137152 266179200 270876480 274101200 287806260 290224800 296452800 306993344 308363850 325051776 328921440 338595600 345367512 359757825 383741680 386966400 394705728 399268800 406314720 411151800 431709390 438561920 451460800 460490016 479677100 493382160 507893400 541752960 548202400 575612520 580449600 592905600 613986688 616727700 657842880 677191200 690735024 719515650 767483360 789411456 798537600 812629440 822303600 863418780 902921600 920980032 959354200 986764320 1015786800 1079273475 1096404800 1151225040 1160899200 1233455400 1315685760 1354382400 1381470048 1439031300 1534966720 1625258880 1644607200 1726837560 1841960064 1918708400 1973528640 2031573600 2158546950 2192809600 2302450080 2466910800 2708764800 2762940096 2878062600 3069933440 3289214400 3453675120 3837416800 3947057280 4063147200 4317093900 4604900160 4933821600 5525880192 5756125200 6578428800 6907350240 7674833600 8126294400 8634187800 9209800320 9867643200 11512250400 13814700480 15349667200 17268375600 19735286400 23024500800 27629400960 34536751200 46049001600 69073502400 138147004800
- Sum of all divisors σ(n): 602521882560
- Sum of proper divisors (its aliquot sum) s(n): 464374877760
- 138147004800 is an abundant number, because the sum of its proper divisors (464374877760) is greater than itself. Its abundance is 326227872960
Bases of 138147004800
- Binary: 100000001010100011010000000001100000002
- Hexadecimal: 0x202A340180
- Base-36: 1RGP5R40
Squares and roots of 138147004800
- 138147004800 squared (1381470048002) is 19084594935211223040000
- 138147004800 cubed (1381470048003) is 2636479628120680518320750592000000
-
The
square root of 138147004800 is 371681.3215645897 -
The
cube root of 138147004800 is 5169.4835510543
Scales and comparisons
How big is 138147004800?- 138,147,004,800 seconds is equal to 4,392 years, 33 weeks, 4 days, 16 hours.
-
To count from 1 to 138,147,004,800 would take you about eight thousand, seven hundred eighty-five 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 138147004800 cubic inches would be around 430.8 feet tall.
Recreational maths with 138147004800
- 138147004800 backwards is 008400741831
- 138147004800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138147004800's digits is 36
- More coming soon!
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The information we have on file for 138147004800 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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