138280513800
138,280,513,800 is an even composite number composed of seven prime numbers multiplied together.
138280513800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138280513800:
23 × 3 × 52 × 11 × 13 × 233 × 6917
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 233 × 6917)See below for interesting mathematical facts about the number 138280513800 from the Numbermatics database.
Names of 138280513800
- Cardinal: 138280513800 can be written as One hundred thirty-eight billion, two hundred eighty million, five hundred thirteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382805138 × 1011
Factors of 138280513800
Divisors of 138280513800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 25 26 30 33 39 40 44 50 52 55 60 65 66 75 78 88 100 104 110 120 130 132 143 150 156 165 195 200 220 233 260 264 275 286 300 312 325 330 390 429 440 466 520 550 572 600 650 660 699 715 780 825 858 932 975 1100 1144 1165 1300 1320 1398 1430 1560 1650 1716 1864 1950 2145 2200 2330 2563 2600 2796 2860 3029 3300 3432 3495 3575 3900 4290 4660 5126 5592 5720 5825 6058 6600 6917 6990 7150 7689 7800 8580 9087 9320 10252 10725 11650 12116 12815 13834 13980 14300 15145 15378 17160 17475 18174 20504 20751 21450 23300 24232 25630 27668 27960 28600 30290 30756 33319 34585 34950 36348 38445 41502 42900 45435 46600 51260 55336 60580 61512 64075 66638 69170 69900 72696 75725 76087 76890 83004 85800 89921 90870 99957 102520 103755 121160 128150 133276 138340 139800 151450 152174 153780 166008 166595 172925 179842 181740 192225 199914 207510 227175 228261 256300 266552 269763 276680 302900 304348 307560 333190 345850 359684 363480 380435 384450 399828 415020 449605 454350 456522 499785 512600 518775 539526 605800 608696 666380 691700 719368 760870 768900 799656 830040 832975 899210 908700 913044 989131 999570 1037550 1079052 1141305 1332760 1348815 1383400 1521740 1537800 1611661 1665950 1798420 1817400 1826088 1902175 1978262 1999140 2075100 2158104 2248025 2282610 2498925 2697630 2967393 3043480 3223322 3331900 3596840 3804350 3956524 3998280 4150200 4496050 4565220 4834983 4945655 4997850 5395260 5706525 5934786 6446644 6663800 6744075 7608700 7913048 8058305 8992100 9130440 9669966 9891310 9995700 10790520 11413050 11869572 12893288 13488150 14836965 15217400 16116610 17728271 17984200 19339932 19782620 19991400 20951593 22826100 23739144 24174915 24728275 26976300 29673930 32233220 35456542 38679864 39565240 40291525 41903186 45652200 48349830 49456550 53184813 53952600 59347860 62854779 64466440 70913084 74184825 80583050 83806372 88641355 96699660 98913100 104757965 106369626 118695720 120874575 125709558 141826168 148369650 161166100 167612744 177282710 193399320 197826200 209515930 212739252 230467523 241749150 251419116 265924065 296739300 314273895 322332200 354565420 419031860 425478504 443206775 460935046 483498300 502838232 523789825 531848130 593478600 628547790 691402569 709130840 838063720 886413550 921870092 966996600 1047579650 1063696260 1152337615 1257095580 1329620325 1382805138 1571369475 1772827100 1843740184 2095159300 2127392520 2304675230 2514191160 2659240650 2765610276 3142738950 3457012845 3545654200 4190318600 4609350460 5318481300 5531220552 5761688075 6285477900 6914025690 9218700920 10636962600 11523376150 12570955800 13828051380 17285064225 23046752300 27656102760 34570128450 46093504600 69140256900 138280513800
- Sum of all divisors σ(n): 505846373760
- Sum of proper divisors (its aliquot sum) s(n): 367565859960
- 138280513800 is an abundant number, because the sum of its proper divisors (367565859960) is greater than itself. Its abundance is 229285346160
Bases of 138280513800
- Binary: 100000001100100010100100110001000010002
- Hexadecimal: 0x2032293108
- Base-36: 1RIWNBBC
Squares and roots of 138280513800
- 138280513800 squared (1382805138002) is 19121500496791990440000
- 138280513800 cubed (1382805138003) is 2644130913323351689767888072000000
-
The
square root of 138280513800 is 371860.8796310793 -
The
cube root of 138280513800 is 5171.1483244259
Scales and comparisons
How big is 138280513800?- 138,280,513,800 seconds is equal to 4,396 years, 46 weeks, 2 days, 21 hours, 50 minutes.
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To count from 1 to 138,280,513,800 would take you about eight thousand, seven hundred ninety-three 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 138280513800 cubic inches would be around 430.9 feet tall.
Recreational maths with 138280513800
- 138280513800 backwards is 008315082831
- 138280513800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138280513800's digits is 39
- More coming soon!
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