138413166085740
138,413,166,085,740 is an even composite number composed of ten prime numbers multiplied together.
What does the number 138413166085740 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 2304 divisors.
138413166085740 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138413166085740:
22 × 3 × 5 × 7 × 13 × 17 × 292 × 41 × 59 × 733
(2 × 2 × 3 × 5 × 7 × 13 × 17 × 29 × 29 × 41 × 59 × 733)See below for interesting mathematical facts about the number 138413166085740 from the Numbermatics database.
Names of 138413166085740
- Cardinal: 138413166085740 can be written as One hundred thirty-eight trillion, four hundred thirteen billion, one hundred sixty-six million, eighty-five thousand, seven hundred forty.
Scientific notation
- Scientific notation: 1.3841316608574 × 1014
Factors of 138413166085740
Divisors of 138413166085740
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 17 20 21 26 28 29 30 34 35 39 41 42 51 52 58 59 60 65 68 70 78 82 84 85 87 91 102 105 116 118 119 123 130 140 145 156 164 170 174 177 182 195 203 204 205 210 221 236 238 246 255 260 273 287 290 295 340 348 354 357 364 377 390 406 410 413 420 435 442 455 476 492 493 510 533 546 574 580 590 595 609 615 663 697 708 714 733 754 767 780 812 820 826 841 861 870 884 885 910 986 1003 1015 1020 1066 1092 1105 1131 1148 1180 1189 1190 1218 1230 1239 1326 1365 1394 1428 1435 1466 1479 1508 1534 1547 1599 1652 1682 1711 1722 1740 1770 1785 1820 1885 1972 2006 2030 2065 2091 2132 2199 2210 2262 2301 2378 2380 2419 2436 2460 2465 2478 2523 2639 2652 2665 2730 2788 2870 2932 2958 3009 3045 3068 3094 3198 3315 3364 3422 3444 3451 3485 3540 3567 3570 3665 3731 3770 3835 4012 4060 4130 4182 4205 4305 4398 4420 4524 4602 4641 4756 4838 4879 4930 4956 5015 5046 5131 5133 5278 5330 5369 5460 5655 5740 5887 5916 5945 6018 6090 6188 6195 6396 6409 6630 6844 6902 6970 7021 7134 7140 7257 7330 7395 7462 7540 7670 7735 7917 7995 8260 8323 8364 8410 8555 8610 8796 9061 9204 9282 9529 9676 9758 9860 10030 10092 10262 10266 10353 10455 10556 10660 10738 10933 10995 11193 11310 11505 11774 11890 11977 12036 12095 12180 12390 12461 12615 12818 13039 13195 13260 13804 13940 14042 14268 14297 14514 14637 14660 14790 14924 15045 15340 15393 15457 15470 15834 15990 16107 16646 16820 16933 17110 17220 17255 17661 17835 18122 18564 18655 19058 19227 19516 20060 20213 20524 20532 20706 20910 21063 21257 21476 21866 21990 22243 22386 22620 23010 23205 23548 23780 23954 24190 24395 24780 24922 24969 25230 25636 25655 25665 26078 26390 26845 27183 28084 28587 28594 29028 29087 29274 29435 29580 30053 30090 30786 30914 30940 31447 31668 31980 32045 32214 32799 33292 33866 34220 34481 34510 35105 35322 35670 35931 36244 36285 37310 37383 38116 38454 39117 39585 40426 41123 41412 41615 41820 42126 42514 42891 43247 43732 43980 44486 44772 44863 45305 46020 46371 46410 47645 47908 48380 48790 49619 49844 49938 50460 50799 51310 51330 51765 52156 52780 53690 54366 54665 55965 57174 57188 58174 58548 58870 59885 60106 60180 60639 61572 61828 62305 62894 63427 63771 64090 64428 65195 65598 66703 66729 67732 68962 69020 70151 70210 70644 71340 71485 71862 72570 73185 74620 74766 76531 76908 76965 77285 78234 79170 80535 80852 82246 83230 84252 84665 85028 85782 86494 87227 87261 88305 88972 89726 90159 90610 91273 92742 92820 94341 95290 96135 97580 99238 99876 100079 101065 101598 102620 102660 103443 103530 105315 106285 107380 108199 108732 109330 111215 111930 114348 116348 117740 119770 120212 121278 123369 124610 124845 125788 126854 127542 128180 129741 130390 131196 133406 133458 134589 135915 137924 140302 140420 141491 142935 142970 143724 145140 145435 146370 148799 148857 149532 150265 153062 153930 154570 155701 156468 157235 158340 161070 161993 163995 164492 166460 169330 171564 172405 172988 174454 174522 176610 179452 179655 180318 181220 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675186176028 678495912185 681838256580 709811108132 760511901570 781995288620 795477966010 814195094622 843982720035 887263885165 954573559212 988665472041 1064716662198 1125310293380 1163135849460 1172992932930 1193216949015 1318220629388 1356991824370 1521023803140 1590955932020 1628390189244 1647775786735 1687965440070 1774527770330 1977330944082 2035487736555 2129433324396 2306886101429 2345985865860 2386433898030 2661791655495 2713983648740 3295551573470 3375930880140 3549055540660 3954661888164 4070975473110 4613772202858 4772867796060 4943327360205 5323583310990 6591103146940 6920658304287 8141950946220 9227544405716 9886654720410 10647166621980 11534430507145 13841316608574 19773309440820 23068861014290 27682633217148 34603291521435 46137722028580 69206583042870 138413166085740
- Sum of all divisors σ(n): 545650509680640
- Sum of proper divisors (its aliquot sum) s(n): 407237343594900
- 138413166085740 is an abundant number, because the sum of its proper divisors (407237343594900) is greater than itself. Its abundance is 268824177509160
Bases of 138413166085740
- Binary: 111110111100010110100111001100011000110011011002
- Hexadecimal: 0x7DE2D398C66C
- Base-36: 1D2A4PD5KC
Squares and roots of 138413166085740
- 138413166085740 squared (1384131660857402) is 19158204545878645713031347600
- 138413166085740 cubed (1384131660857403) is 2651747747713280062696631361997809343224000
-
The
square root of 138413166085740 is 11764912.4980060943 -
The
cube root of 138413166085740 is 51728.0135418603
Scales and comparisons
How big is 138413166085740?- 138,413,166,085,740 seconds is equal to 4,401,110 years, 28 weeks, 1 day, 2 hours, 29 minutes.
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To count from 1 to 138,413,166,085,740 would take you about eleven million, two thousand, seven hundred seventy-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 138413166085740 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138413166085740
- 138413166085740 backwards is 047580661314831
- The number of decimal digits it has is: 15
- The sum of 138413166085740's digits is 57
- More coming soon!
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The information we have on file for 138413166085740 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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