138145527520
138,145,527,520 is an even composite number composed of seven prime numbers multiplied together.
138145527520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138145527520:
25 × 5 × 73 × 11 × 13 × 29 × 607
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 13 × 29 × 607)See below for interesting mathematical facts about the number 138145527520 from the Numbermatics database.
Names of 138145527520
- Cardinal: 138145527520 can be written as One hundred thirty-eight billion, one hundred forty-five million, five hundred twenty-seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3814552752 × 1011
Factors of 138145527520
Divisors of 138145527520
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 29 32 35 40 44 49 52 55 56 58 65 70 77 80 88 91 98 104 110 112 116 130 140 143 145 154 160 176 182 196 203 208 220 224 232 245 260 280 286 290 308 319 343 352 364 377 385 392 406 416 440 455 464 490 520 539 560 572 580 607 616 637 638 686 715 728 754 770 784 812 880 910 928 980 1001 1015 1040 1078 1120 1144 1160 1214 1232 1274 1276 1372 1421 1430 1456 1508 1540 1568 1595 1624 1715 1760 1820 1885 1960 2002 2030 2080 2156 2233 2288 2320 2428 2464 2548 2552 2639 2695 2744 2842 2860 2912 3016 3035 3080 3185 3190 3248 3430 3640 3770 3773 3920 4004 4060 4147 4249 4312 4459 4466 4576 4640 4856 5005 5096 5104 5278 5390 5488 5684 5720 6032 6070 6160 6370 6380 6496 6677 6860 7007 7105 7280 7540 7546 7840 7891 8008 8120 8294 8498 8624 8918 8932 9712 9947 10010 10192 10208 10556 10780 10976 11165 11368 11440 12064 12140 12320 12740 12760 13195 13354 13720 14014 14210 14560 15080 15092 15631 15782 16016 16240 16588 16996 17248 17603 17836 17864 18473 18865 19424 19894 20020 20384 20735 21112 21245 21560 22295 22330 22736 22880 24280 25480 25520 26390 26708 27440 28028 28420 29029 29743 30160 30184 31262 31564 32032 32480 33176 33385 33992 35035 35206 35672 35728 36946 37730 39455 39788 40040 41470 42224 42490 43120 44590 44660 45472 46739 48560 49049 49735 50960 51040 52780 53416 54880 55237 56056 56840 58058 59486 60320 60368 62524 63128 66352 66770 67984 70070 70412 71344 71456 73892 75460 78155 78910 79576 80080 82940 84448 84980 86240 86801 88015 89180 89320 92365 93478 97120 98098 99470 101920 105560 106832 109417 110474 112112 113680 116116 118972 120736 123221 125048 126256 129311 132704 133540 135968 140140 140824 142688 145145 147784 148715 150920 156310 157820 159152 160160 165880 169960 173602 176030 178360 178640 184730 186956 193633 196196 198940 203203 208201 211120 213664 218834 220948 224224 227360 228839 232232 233695 237944 245245 246442 250096 252512 258622 267080 276185 280280 281648 290290 295568 297430 301840 312620 315640 318304 327173 331760 339920 347204 352060 356720 357280 369460 373912 386659 387266 392392 397880 406406 416402 422240 434005 437668 441896 457678 464464 467390 475888 490490 492884 500192 517244 534160 547085 552370 560560 563296 580580 591136 594860 603680 607607 616105 625240 631280 646555 654346 663520 679840 694408 704120 713440 738920 747824 773318 774532 784784 795760 812812 832804 862547 868010 875336 883792 915356 928928 934780 951776 968165 980980 985768 1016015 1034488 1041005 1068320 1094170 1104740 1121120 1144195 1161160 1189720 1215214 1232210 1250480 1262560 1293110 1308692 1355431 1388816 1408240 1422421 1477840 1495648 1546636 1549064 1569568 1591520 1601873 1625624 1635865 1665608 1725094 1736020 1750672 1767584 1830712 1869560 1933295 1936330 1961960 1971536 2032030 2068976 2082010 2188340 2209480 2288390 2290211 2322320 2379440 2430428 2464420 2500960 2517229 2586220 2617384 2706613 2710862 2777632 2816480 2844842 2955680 3038035 3093272 3098128 3203746 3251248 3271730 3331216 3450188 3472040 3501344 3661424 3739120 3866590 3872660 3923920 3943072 4064060 4137952 4164020 4253249 4312735 4376680 4418960 4576780 4580422 4644640 4758880 4860856 4928840 5034458 5172440 5234768 5413226 5421724 5689684 6037829 6076070 6186544 6196256 6407492 6502496 6543460 6662432 6777155 6900376 6944080 7112105 7322848 7478240 7733180 7745320 7847840 8009365 8128120 8328040 8506498 8625470 8753360 8837920 9153560 9160844 9488017 9721712 9857680 10068916 10344880 10469536 10826452 10843448 11213111 11379368 11451055 12075658 12152140 12373088 12586145 12814984 13086920 13533065 13554310 13800752 13888160 14224210 15466360 15490640 16018730 16256240 16656080 17012996 17250940 17506720 17620603 18307120 18321688 18976034 19443424 19715360 20137832 20689760 21266245 21652904 21686896 22426222 22758736 22902110 24151316 24304280 25172290 25629968 26173840 27066130 27108620 27601504 28448420 29772743 30189145 30932720 30981280 32037460 32512480 33312160 34025992 34501880 35241206 36614240 36643376 37952068 40275664 42532490 43305808 43373792 44852444 45517472 45804220 47440085 48302632 48608560 50344580 51259936 52347680 54132260 54217240 56065555 56896840 59545486 60378290 61865440 64074920 66416119 68051984 69003760 70482412 73286752 75904136 78491777 80551328 85064980 86611616 88103015 89704888 91608440 94880170 96605264 97217120 100689160 108264520 108434480 112131110 113793680 119090972 120756580 123344221 128149840 132832238 136103968 138007520 140964824 148863715 151808272 156983554 170129960 176206030 179409776 183216880 189760340 193210528 201378320 216529040 216868960 224262220 227587360 238181944 241513160 246688442 256299680 265664476 281929648 297727430 303616544 313967108 332080595 340259920 352412060 358819552 366433760 379520680 392458885 402756640 433058080 448524440 476363888 483026320 493376884 531328952 563859296 595454860 616721105 627934216 664161190 680519840 704824120 759041360 784917770 863409547 897048880 952727776 966052640 986753768 1062657904 1190909720 1233442210 1255868432 1328322380 1409648240 1518082720 1569835540 1726819094 1794097760 1973507536 2125315808 2381819440 2466884420 2511736864 2656644760 2819296480 3139671080 3453638188 3947015072 4317047735 4763638880 4933768840 5313289520 6279342160 6907276376 8634095470 9867537680 10626579040 12558684320 13814552752 17268190940 19735075360 27629105504 34536381880 69072763760 138145527520
- Sum of all divisors σ(n): 463325184000
- Sum of proper divisors (its aliquot sum) s(n): 325179656480
- 138145527520 is an abundant number, because the sum of its proper divisors (325179656480) is greater than itself. Its abundance is 187034128960
Bases of 138145527520
- Binary: 100000001010100001110101110110111000002
- Hexadecimal: 0x202A1D76E0
- Base-36: 1RGOA38G
Squares and roots of 138145527520
- 138145527520 squared (1381455275202) is 19084186773779077350400
- 138145527520 cubed (1381455275203) is 2636395049153917544509891883008000
-
The
square root of 138145527520 is 371679.3342654391 -
The
cube root of 138145527520 is 5169.4651243021
Scales and comparisons
How big is 138145527520?- 138,145,527,520 seconds is equal to 4,392 years, 31 weeks, 1 day, 13 hours, 38 minutes, 40 seconds.
-
To count from 1 to 138,145,527,520 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 138145527520 cubic inches would be around 430.8 feet tall.
Recreational maths with 138145527520
- 138145527520 backwards is 025725541831
- The number of decimal digits it has is: 12
- The sum of 138145527520's digits is 43
- More coming soon!
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