135146429384400
135,146,429,384,400 is an even composite number composed of seven prime numbers multiplied together.
135146429384400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 135146429384400:
24 × 32 × 52 × 72 × 192 × 712 × 421
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 19 × 71 × 71 × 421)See below for interesting mathematical facts about the number 135146429384400 from the Numbermatics database.
Names of 135146429384400
- Cardinal: 135146429384400 can be written as One hundred thirty-five trillion, one hundred forty-six billion, four hundred twenty-nine million, three hundred eighty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.351464293844 × 1014
Factors of 135146429384400
Divisors of 135146429384400
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 35 36 38 40 42 45 48 49 50 56 57 60 63 70 71 72 75 76 80 84 90 95 98 100 105 112 114 120 126 133 140 142 144 147 150 152 168 171 175 180 190 196 200 210 213 225 228 240 245 252 266 280 284 285 294 300 304 315 336 342 350 355 360 361 380 392 399 400 420 421 426 441 450 456 475 490 497 504 525 532 560 568 570 588 600 630 639 665 684 700 710 720 722 735 760 784 798 840 842 852 855 882 900 912 931 950 980 994 1008 1050 1064 1065 1083 1136 1140 1176 1197 1200 1225 1260 1263 1278 1330 1349 1368 1400 1420 1425 1444 1470 1491 1520 1575 1596 1680 1684 1704 1710 1764 1775 1800 1805 1862 1900 1960 1988 1995 2100 2105 2128 2130 2166 2205 2280 2352 2394 2450 2485 2520 2526 2527 2556 2660 2698 2736 2793 2800 2840 2850 2888 2940 2947 2982 3150 3192 3195 3249 3325 3368 3408 3420 3479 3528 3550 3600 3610 3675 3724 3789 3800 3920 3976 3990 4047 4200 4210 4260 4275 4332 4410 4473 4560 4655 4788 4900 4970 5040 5041 5052 5054 5112 5320 5325 5396 5415 5586 5680 5700 5776 5880 5894 5964 5985 6300 6315 6384 6390 6498 6650 6736 6745 6840 6958 7056 7100 7220 7350 7448 7455 7578 7581 7600 7952 7980 7999 8094 8379 8400 8420 8520 8550 8664 8820 8841 8946 9025 9310 9443 9576 9800 9940 9975 10082 10104 10108 10224 10437 10525 10640 10650 10792 10830 11025 11172 11400 11760 11788 11928 11970 12141 12425 12600 12630 12635 12780 12996 13300 13490 13680 13916 13965 14200 14440 14700 14735 14896 14910 15123 15156 15162 15960 15975 15998 16188 16245 16758 16840 17040 17100 17328 17395 17640 17682 17689 17892 18050 18620 18886 18945 19152 19600 19880 19950 20164 20208 20216 20235 20629 20874 21050 21300 21584 21660 22050 22344 22365 22743 22800 23275 23576 23856 23940 23997 24282 24850 25200 25205 25260 25270 25560 25631 25992 26523 26600 26980 27075 27832 27930 28329 28400 28880 29400 29470 29820 29891 29925 30246 30312 30324 31311 31575 31920 31950 31996 32376 32490 33516 33680 33725 34200 34790 35280 35287 35364 35378 35784 36100 37240 37275 37772 37890 37905 39760 39900 39995 40328 40432 40470 41258 41748 41895 42100 42600 43320 44100 44205 44688 44730 45369 45486 46550 47152 47215 47880 47994 48564 49700 50410 50520 50540 51120 51262 51984 52185 53046 53067 53200 53960 54150 55664 55860 55993 56658 58800 58940 59640 59782 59850 60492 60624 60648 60705 61887 62622 63150 63175 63900 63992 64752 64980 66101 67032 67450 68400 69580 69825 70574 70728 70756 71568 71991 72200 73675 74480 74550 75544 75615 75780 75810 76893 79800 79990 80656 80940 81225 82516 83496 83790 84200 84987 85200 86640 86975 88200 88410 88445 89460 89673 90738 90972 93100 94430 94725 95760 95779 95988 97128 99400 100820 101040 101080 101175 102524 103145 104370 105861 106092 106134 107920 108300 111720 111825 111986 113316 113715 117880 119280 119564 119700 119985 120984 121296 121410 123774 125244 126025 126300 126350 127800 127984 128155 129960 132202 132615 134064 134900 139160 139650 141148 141456 141512 141645 143982 144400 147350 149100 149455 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772265310768 790329996400 804443032050 889121245950 900976195896 919363465200 938516870725 951735418200 965331638460 1016138566800 1072590709400 1126220244870 1185494994600 1206664548075 1287108851280 1351464293844 1379045197800 1422593993520 1501626993160 1608886064100 1689330367305 1778242491900 1801952391792 1877033741450 1903470836400 1930663276920 2145181418800 2252440489740 2370989989200 2413329096150 2702928587688 2758090395600 2815550612175 3003253986320 3217772128200 3378660734610 3556484983800 3754067482900 3861326553840 4504880979480 4826658192300 5405857175376 5631101224350 6435544256400 6757321469220 7112969967600 7508134965800 8446651836525 9009761958960 9653316384600 11262202448700 13514642938440 15016269931600 16893303673050 19306632769200 22524404897400 27029285876880 33786607346100 45048809794800 67573214692200 135146429384400
- Sum of all divisors σ(n): 585402826506966
- Sum of proper divisors (its aliquot sum) s(n): 450256397122566
- 135146429384400 is an abundant number, because the sum of its proper divisors (450256397122566) is greater than itself. Its abundance is 315109967738166
Bases of 135146429384400
- Binary: 111101011101010001110101110101010000110110100002
- Hexadecimal: 0x7AEA3AEA86D0
- Base-36: 1BWLEUOES0
Squares and roots of 135146429384400
- 135146429384400 squared (1351464293844002) is 18264557375352615762963360000
- 135146429384400 cubed (1351464293844003) is 2468389713565414491259154061124555584000000
-
The
square root of 135146429384400 is 11625249.6482613223 -
The
cube root of 135146429384400 is 51317.8191595561
Scales and comparisons
How big is 135146429384400?- 135,146,429,384,400 seconds is equal to 4,297,238 years, 21 weeks, 5 days, 13 hours.
-
To count from 1 to 135,146,429,384,400 would take you about ten million, seven hundred forty-three thousand and ninety-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 135146429384400 cubic inches would be around 4276.5 feet tall.
Recreational maths with 135146429384400
- 135146429384400 backwards is 004483924641531
- The number of decimal digits it has is: 15
- The sum of 135146429384400's digits is 54
- More coming soon!
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"Number 135146429384400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 135146429384400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/135146429384400/
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The information we have on file for 135146429384400 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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