138148765440
138,148,765,440 is an even composite number composed of six prime numbers multiplied together.
138148765440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138148765440:
28 × 3 × 5 × 73 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 53 × 1979)See below for interesting mathematical facts about the number 138148765440 from the Numbermatics database.
Names of 138148765440
- Cardinal: 138148765440 can be written as One hundred thirty-eight billion, one hundred forty-eight million, seven hundred sixty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3814876544 × 1011
Factors of 138148765440
Divisors of 138148765440
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 53 56 60 64 70 80 84 96 98 105 106 112 120 128 140 147 159 160 168 192 196 210 212 224 240 245 256 265 280 294 318 320 336 343 371 384 392 420 424 448 480 490 530 560 588 636 640 672 686 735 742 768 784 795 840 848 896 960 980 1029 1060 1113 1120 1176 1272 1280 1344 1372 1470 1484 1568 1590 1680 1696 1715 1792 1855 1920 1960 1979 2058 2120 2226 2240 2352 2544 2597 2688 2744 2940 2968 3136 3180 3360 3392 3430 3710 3840 3920 3958 4116 4240 4452 4480 4704 5088 5145 5194 5376 5488 5565 5880 5936 5937 6272 6360 6720 6784 6860 7420 7791 7840 7916 8232 8480 8904 8960 9408 9895 10176 10290 10388 10976 11130 11760 11872 11874 12544 12720 12985 13440 13568 13720 13853 14840 15582 15680 15832 16464 16960 17808 18179 18816 19790 20352 20580 20776 21952 22260 23520 23744 23748 25440 25970 26880 27440 27706 29680 29685 31164 31360 31664 32928 33920 35616 36358 37632 38955 39580 40704 41160 41552 41559 43904 44520 47040 47488 47496 50880 51940 54537 54880 55412 59360 59370 62328 62720 63328 65856 67840 69265 71232 72716 77910 79160 82320 83104 83118 87808 89040 90895 94080 94976 94992 96971 101760 103880 104887 109074 109760 110824 118720 118740 124656 126656 131712 138530 142464 145432 155820 158320 164640 166208 166236 178080 181790 188160 189984 193942 203520 207760 207795 209774 218148 219520 221648 237440 237480 249312 253312 263424 272685 277060 284928 290864 290913 311640 314661 316640 329280 332416 332472 356160 363580 379968 387884 415520 415590 419548 436296 439040 443296 474880 474960 484855 498624 506624 524435 545370 554120 581728 581826 623280 629322 633280 658560 664832 664944 678797 712320 727160 734209 759936 775768 831040 831180 839096 872592 886592 949920 969710 997248 1048870 1090740 1108240 1163456 1163652 1246560 1258644 1266560 1317120 1329888 1357594 1424640 1454320 1454565 1468418 1519872 1551536 1573305 1662080 1662360 1678192 1745184 1773184 1899840 1939420 1994496 2036391 2097740 2181480 2202627 2216480 2326912 2327304 2493120 2517288 2533120 2659776 2715188 2908640 2909130 2936836 3103072 3146610 3324160 3324720 3356384 3393985 3490368 3546368 3671045 3799680 3878840 4072782 4195480 4362960 4405254 4432960 4653824 4654608 4986240 5034576 5139463 5319552 5430376 5817280 5818260 5873672 6206144 6293220 6649440 6712768 6787970 6980736 7342090 7599360 7757680 8145564 8390960 8725920 8810508 8865920 9309216 9972480 10069152 10181955 10278926 10639104 10860752 11013135 11634560 11636520 11747344 12412288 12586440 13298880 13425536 13575940 13961472 14684180 15418389 15515360 16291128 16781920 17451840 17621016 17731840 18618432 20138304 20363910 20557852 21721504 22026270 23269120 23273040 23494688 24824576 25172880 25697315 26597760 26851072 27151880 29368360 30836778 31030720 32582256 33563840 34903680 35242032 35976241 37236864 40276608 40727820 41115704 43443008 44052540 46546080 46989376 50345760 51394630 53195520 54303760 58736720 61673556 62061440 65164512 67127680 69807360 70484064 71952482 74473728 77091945 80553216 81455640 82231408 86886016 88105080 93092160 93978752 100691520 102789260 107928723 108607520 117473440 123347112 124122880 130329024 134255360 140968128 143904964 154183890 162911280 164462816 173772032 176210160 179881205 186184320 187957504 201383040 205578520 215857446 217215040 234946880 246694224 260658048 281936256 287809928 308367780 325822560 328925632 352420320 359762410 372368640 402766080 411157040 431714892 434430080 469893760 493388448 521316096 539643615 563872512 575619856 616735560 651645120 657851264 704840640 719524820 822314080 863429784 868860160 939787520 986776896 1079287230 1151239712 1233471120 1303290240 1315702528 1409681280 1439049640 1644628160 1726859568 1973553792 2158574460 2302479424 2466942240 2606580480 2819362560 2878099280 3289256320 3453719136 3947107584 4317148920 4604958848 4933884480 5756198560 6578512640 6907438272 8634297840 9209917696 9867768960 11512397120 13814876544 17268595680 19735537920 23024794240 27629753088 34537191360 46049588480 69074382720 138148765440
- Sum of all divisors σ(n): 524506752000
- Sum of proper divisors (its aliquot sum) s(n): 386357986560
- 138148765440 is an abundant number, because the sum of its proper divisors (386357986560) is greater than itself. Its abundance is 248209221120
Bases of 138148765440
- Binary: 100000001010100100111011011111000000002
- Hexadecimal: 0x202A4EDF00
- Base-36: 1RGQ7HMO
Squares and roots of 138148765440
- 138148765440 squared (1381487654402) is 19085081392596138393600
- 138148765440 cubed (1381487654403) is 2636580432709072475587224797184000
-
The
square root of 138148765440 is 371683.6900376447 -
The
cube root of 138148765440 is 5169.5055121067
Scales and comparisons
How big is 138148765440?- 138,148,765,440 seconds is equal to 4,392 years, 36 weeks, 4 days, 1 hour, 4 minutes.
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To count from 1 to 138,148,765,440 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 138148765440 cubic inches would be around 430.8 feet tall.
Recreational maths with 138148765440
- 138148765440 backwards is 044567841831
- The number of decimal digits it has is: 12
- The sum of 138148765440's digits is 51
- More coming soon!
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