42186147120
42,186,147,120 is an even composite number composed of seven prime numbers multiplied together.
42186147120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42186147120:
24 × 32 × 5 × 13 × 53 × 277 × 307
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 53 × 277 × 307)See below for interesting mathematical facts about the number 42186147120 from the Numbermatics database.
Names of 42186147120
- Cardinal: 42186147120 can be written as Forty-two billion, one hundred eighty-six million, one hundred forty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.218614712 × 1010
Factors of 42186147120
Divisors of 42186147120
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 53 60 65 72 78 80 90 104 106 117 120 130 144 156 159 180 195 208 212 234 240 260 265 277 307 312 318 360 390 424 468 477 520 530 554 585 614 624 636 689 720 780 795 831 848 921 936 954 1040 1060 1108 1170 1228 1272 1378 1385 1535 1560 1590 1662 1842 1872 1908 2067 2120 2216 2340 2385 2456 2493 2544 2756 2763 2770 3070 3120 3180 3324 3445 3601 3684 3816 3991 4134 4155 4240 4432 4605 4680 4770 4912 4986 5512 5526 5540 6140 6201 6360 6648 6890 7202 7368 7632 7982 8268 8310 9210 9360 9540 9972 10335 10803 11024 11052 11080 11973 12280 12402 12465 12720 13296 13780 13815 14404 14681 14736 15964 16271 16536 16620 18005 18420 19080 19944 19955 20670 21606 22104 22160 23946 24560 24804 24930 27560 27630 28808 29362 31005 31928 32409 32542 33072 33240 35919 36010 36840 38160 39888 39910 41340 43212 44043 44208 47892 48813 49608 49860 54015 55120 55260 57616 58724 59865 62010 63856 64818 65084 66480 71838 72020 73405 73680 79820 81355 82680 85039 86424 88086 95784 97626 99216 99720 108030 110520 117448 119730 124020 129636 130168 132129 143676 144040 146439 146810 159640 162045 162710 165360 170078 172848 176172 179595 190853 191568 195252 199440 211523 216060 220215 221040 234896 239460 244065 248040 255117 259272 260336 264258 287352 288080 292878 293620 319280 324090 325420 340156 352344 359190 381706 390504 423046 425195 432120 440430 478920 488130 496080 510234 518544 528516 572559 574704 585756 587240 634569 648180 650840 660645 680312 704688 718380 732195 763412 765351 781008 846092 850390 864240 880860 954265 957840 976260 1020468 1057032 1057615 1105507 1145118 1171512 1174480 1269138 1275585 1296360 1301680 1321290 1360624 1436760 1464390 1526824 1530702 1692184 1700780 1717677 1761720 1903707 1908530 1952520 2040936 2114064 2115230 2211014 2290236 2343024 2538276 2551170 2592720 2642580 2862795 2873520 2928780 3053648 3061404 3172845 3316521 3384368 3401560 3435354 3523440 3807414 3817060 3826755 3905040 4081872 4230460 4422028 4507067 4580472 5076552 5102340 5285160 5527535 5725590 5857560 6122808 6345690 6633042 6803120 6870708 7614828 7634120 7653510 8460920 8588385 8844056 9014134 9160944 9518535 9949563 10153104 10204680 10570320 11055070 11451180 11715120 12245616 12691380 13266084 13521201 13741416 15229656 15268240 15307020 16582605 16921840 17176770 17688112 18028268 19037070 19899126 20409360 22110140 22535335 22902360 25382760 26532168 27042402 27482832 30459312 30614040 33165210 34353540 36056536 38074140 39798252 40563603 44220280 45070670 45804720 49747815 50765520 53064336 54084804 58591871 61228080 66330420 67606005 68707080 72113072 76148280 79596504 81127206 88440560 90141340 99495630 108169608 117183742 132660840 135212010 137414160 152296560 159193008 162254412 175775613 180282680 198991260 202818015 216339216 234367484 265321680 270424020 292959355 324508824 351551226 360565360 397982520 405636030 468734968 527326839 540848040 585918710 649017648 703102452 795965040 811272060 878878065 937469936 1054653678 1081696080 1171837420 1406204904 1622544120 1757756130 2109307356 2343674840 2636634195 2812409808 3245088240 3515512260 4218614712 4687349680 5273268390 7031024520 8437229424 10546536780 14062049040 21093073560 42186147120
- Sum of all divisors σ(n): 156521356992
- Sum of proper divisors (its aliquot sum) s(n): 114335209872
- 42186147120 is an abundant number, because the sum of its proper divisors (114335209872) is greater than itself. Its abundance is 72149062752
Bases of 42186147120
- Binary: 1001110100100111110110000101001100002
- Hexadecimal: 0x9D27D8530
- Base-36: JDOJJG0
Squares and roots of 42186147120
- 42186147120 squared (421861471202) is 1779671008830284294400
- 42186147120 cubed (421861471203) is 75077463003713192354983792128000
-
The
square root of 42186147120 is 205392.6656918401 -
The
cube root of 42186147120 is 3481.1544128847
Scales and comparisons
How big is 42186147120?- 42,186,147,120 seconds is equal to 1,341 years, 20 weeks, 1 day, 14 hours, 12 minutes.
-
To count from 1 to 42,186,147,120 would take you about two thousand, six hundred eighty-two 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 42186147120 cubic inches would be around 290.1 feet tall.
Recreational maths with 42186147120
- 42186147120 backwards is 02174168124
- 42186147120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42186147120's digits is 36
- More coming soon!
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