134946288120
134,946,288,120 is an even composite number composed of six prime numbers multiplied together.
134946288120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134946288120:
23 × 3 × 5 × 72 × 293 × 941
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 29 × 29 × 29 × 941)See below for interesting mathematical facts about the number 134946288120 from the Numbermatics database.
Names of 134946288120
- Cardinal: 134946288120 can be written as One hundred thirty-four billion, nine hundred forty-six million, two hundred eighty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3494628812 × 1011
Factors of 134946288120
Divisors of 134946288120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 49 56 58 60 70 84 87 98 105 116 120 140 145 147 168 174 196 203 210 232 245 280 290 294 348 392 406 420 435 490 580 588 609 696 735 812 840 841 870 941 980 1015 1160 1176 1218 1421 1470 1624 1682 1740 1882 1960 2030 2436 2523 2823 2842 2940 3045 3364 3480 3764 4060 4205 4263 4705 4872 5046 5646 5684 5880 5887 6090 6587 6728 7105 7528 8120 8410 8526 9410 10092 11292 11368 11774 12180 12615 13174 14115 14210 16820 17052 17661 18820 19761 20184 21315 22584 23548 24360 24389 25230 26348 27289 28230 28420 29435 32935 33640 34104 35322 37640 39522 41209 42630 46109 47096 48778 50460 52696 54578 56460 56840 58870 65870 70644 73167 79044 81867 82418 85260 88305 92218 97556 98805 100920 109156 112920 117740 121945 123627 131740 136445 138327 141288 146334 158088 163734 164836 170520 170723 176610 184436 191023 195112 197610 206045 218312 230545 235480 243890 247254 263480 272890 276654 292668 327468 329672 341446 353220 365835 368872 382046 395220 409335 412090 461090 487780 494508 512169 545780 553308 573069 585336 618135 654936 682892 691635 706440 731670 764092 790440 791381 818670 824180 853615 922180 955115 975560 989016 1024338 1091560 1106616 1146138 1195061 1236270 1337161 1365784 1383270 1463340 1528184 1582762 1637340 1648360 1707230 1844360 1910230 2048676 2292276 2374143 2390122 2472540 2560845 2674322 2766540 2865345 2926680 3165524 3274680 3414460 3585183 3820460 3956905 4011483 4097352 4584552 4748286 4780244 4945080 5121690 5348644 5533080 5539667 5730690 5975305 6331048 6685805 6828920 7170366 7640920 7913810 8022966 9496572 9560488 10243380 10697288 11079334 11461380 11870715 11950610 13371610 14340732 15827620 16045932 16619001 17925915 18993144 20057415 20486760 22158668 22922760 22950049 23741430 23901220 26743220 27698335 28681464 31655240 32091864 33238002 35851830 38777669 40114830 44317336 45900098 47482860 47802440 53486440 55396670 66476004 68850147 71703660 77555338 80229660 83095005 91800196 94965720 110793340 114750245 116333007 132952008 137700294 143407320 155110676 160459320 160650343 166190010 183600392 193888345 221586680 229500490 232666014 275400588 310221352 321300686 332380020 344250735 387776690 459000980 465332028 481951029 550801176 581665035 642601372 664760040 688501470 775553380 803251715 918001960 930664056 963902058 1124552401 1163330070 1285202744 1377002940 1551106760 1606503430 1927804116 2249104802 2326660140 2409755145 2754005880 3213006860 3373657203 3855608232 4498209604 4653320280 4819510290 5622762005 6426013720 6747314406 8996419208 9639020580 11245524010 13494628812 16868286015 19278041160 22491048020 26989257624 33736572030 44982096040 67473144060 134946288120
- Sum of all divisors σ(n): 488271758400
- Sum of proper divisors (its aliquot sum) s(n): 353325470280
- 134946288120 is an abundant number, because the sum of its proper divisors (353325470280) is greater than itself. Its abundance is 218379182160
Bases of 134946288120
- Binary: 11111011010110110110011110001111110002
- Hexadecimal: 0x1F6B6CF1F8
- Base-36: 1PZRJABC
Squares and roots of 134946288120
- 134946288120 squared (1349462881202) is 18210500677366053134400
- 134946288120 cubed (1349462881203) is 2457439471217294568981971483328000
-
The
square root of 134946288120 is 367350.3615351427 -
The
cube root of 134946288120 is 5129.2474088721
Scales and comparisons
How big is 134946288120?- 134,946,288,120 seconds is equal to 4,290 years, 45 weeks, 3 days, 8 hours, 2 minutes.
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To count from 1 to 134,946,288,120 would take you about eight thousand, five hundred eighty-one 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 134946288120 cubic inches would be around 427.4 feet tall.
Recreational maths with 134946288120
- 134946288120 backwards is 021882649431
- The number of decimal digits it has is: 12
- The sum of 134946288120's digits is 48
- More coming soon!
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