134378428017120
134,378,428,017,120 is an even composite number composed of seven prime numbers multiplied together.
134378428017120 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 134378428017120:
25 × 3 × 5 × 7 × 67 × 1031 × 578971
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 67 × 1031 × 578971)See below for interesting mathematical facts about the number 134378428017120 from the Numbermatics database.
Names of 134378428017120
- Cardinal: 134378428017120 can be written as One hundred thirty-four trillion, three hundred seventy-eight billion, four hundred twenty-eight million, seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3437842801712 × 1014
Factors of 134378428017120
Divisors of 134378428017120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 67 70 80 84 96 105 112 120 134 140 160 168 201 210 224 240 268 280 335 336 402 420 469 480 536 560 670 672 804 840 938 1005 1031 1072 1120 1340 1407 1608 1680 1876 2010 2062 2144 2345 2680 2814 3093 3216 3360 3752 4020 4124 4690 5155 5360 5628 6186 6432 7035 7217 7504 8040 8248 9380 10310 10720 11256 12372 14070 14434 15008 15465 16080 16496 18760 20620 21651 22512 24744 28140 28868 30930 32160 32992 36085 37520 41240 43302 45024 49488 56280 57736 61860 69077 72170 75040 82480 86604 98976 108255 112560 115472 123720 138154 144340 164960 173208 207231 216510 225120 230944 247440 276308 288680 345385 346416 414462 433020 483539 494880 552616 577360 578971 690770 692832 828924 866040 967078 1036155 1105232 1154720 1157942 1381540 1450617 1657848 1732080 1736913 1934156 2072310 2210464 2315884 2417695 2763080 2894855 2901234 3315696 3464160 3473826 3868312 4052797 4144620 4631768 4835390 5526160 5789710 5802468 6631392 6947652 7253085 7736624 8105594 8289240 8684565 9263536 9670780 11052320 11579420 11604936 12158391 13895304 14506170 15473248 16211188 16578480 17369130 18527072 19341560 20263985 23158840 23209872 24316782 27790608 29012340 32422376 33156960 34738260 38683120 38791057 40527970 46317680 46419744 48633564 55581216 58024680 60791955 64844752 69476520 77366240 77582114 81055940 92635360 97267128 116049360 116373171 121583910 129689504 138953040 155164228 162111880 193955285 194534256 232098720 232746342 243167820 271537399 277906080 310328456 324223760 387910570 389068512 465492684 486335640 543074798 581865855 596919101 620656912 648447520 775821140 814612197 930985368 972671280 1086149596 1163731710 1193838202 1241313824 1357686995 1551642280 1629224394 1790757303 1861970736 1945342560 2172299192 2327463420 2387676404 2715373990 2984595505 3103284560 3258448788 3581514606 3723941472 4073060985 4178433707 4344598384 4654926840 4775352808 5430747980 5969191010 6206569120 6516897576 7163029212 8146121970 8356867414 8689196768 8953786515 9309853680 9550705616 10861495960 11938382020 12535301121 13033795152 14326058424 16292243940 16713734828 17907573030 18619707360 19101411232 20892168535 21722991920 23876764040 25070602242 26067590304 28652116848 32584487880 33427469656 35815146060 39993579767 41784337070 43445983840 47753528080 50141204484 57304233696 62676505605 65168975760 66854939312 71630292120 79987159534 83568674140 95507056160 100282408968 119980739301 125353011210 130337951520 133709878624 143260584240 159974319068 167137348280 199967898835 200564817936 239961478602 250706022420 279955058369 286521168480 319948638136 334274696560 399935797670 401129635872 479922957204 501412044840 559910116738 599903696505 639897276272 668549393120 799871595340 839865175107 959845914408 1002824089680 1119820233476 1199807393010 1279794552544 1399775291845 1599743190680 1679730350214 1919691828816 2005648179360 2239640466952 2399614786020 2799550583690 3199486381360 3359460700428 3839383657632 4199325875535 4479280933904 4799229572040 5599101167380 6398972762720 6718921400856 8398651751070 8958561867808 9598459144080 11198202334760 13437842801712 16797303502140 19196918288160 22396404669520 26875685603424 33594607004280 44792809339040 67189214008560 134378428017120
- Sum of all divisors σ(n): 491459743014912
- Sum of proper divisors (its aliquot sum) s(n): 357081314997792
- 134378428017120 is an abundant number, because the sum of its proper divisors (357081314997792) is greater than itself. Its abundance is 222702886980672
Bases of 134378428017120
- Binary: 111101000110111011010100111011110101001111000002
- Hexadecimal: 0x7A376A77A9E0
- Base-36: 1BMSLIHR6O
Squares and roots of 134378428017120
- 134378428017120 squared (1343784280171202) is 18057561916352301375013094400
- 134378428017120 cubed (1343784280171203) is 2426546784141235212964449504427827376128000
-
The
square root of 134378428017120 is 11592170.9794636829 -
The
cube root of 134378428017120 is 51220.4259139911
Scales and comparisons
How big is 134378428017120?- 134,378,428,017,120 seconds is equal to 4,272,818 years, 18 weeks, 1 day, 19 hours, 52 minutes.
-
To count from 1 to 134,378,428,017,120 would take you about ten million, six hundred eighty-two thousand and forty-five 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 134378428017120 cubic inches would be around 4268.4 feet tall.
Recreational maths with 134378428017120
- 134378428017120 backwards is 021710824873431
- The number of decimal digits it has is: 15
- The sum of 134378428017120's digits is 51
- More coming soon!
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