13133628144000
13,133,628,144,000 is an even composite number composed of seven prime numbers multiplied together.
13133628144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13133628144000:
27 × 33 × 53 × 7 × 132 × 31 × 829
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 829)See below for interesting mathematical facts about the number 13133628144000 from the Numbermatics database.
Names of 13133628144000
- Cardinal: 13133628144000 can be written as Thirteen trillion, one hundred thirty-three billion, six hundred twenty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3133628144 × 1013
Factors of 13133628144000
Divisors of 13133628144000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 31 32 35 36 39 40 42 45 48 50 52 54 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 100 104 105 108 112 117 120 124 125 126 128 130 135 140 144 150 155 156 160 168 169 175 180 182 186 189 192 195 200 208 210 216 217 224 225 234 240 248 250 252 260 270 273 279 280 288 300 310 312 315 320 325 336 338 350 351 360 364 372 375 378 384 390 400 403 416 420 432 434 448 450 455 465 468 480 496 500 504 507 520 525 540 546 558 560 576 585 600 620 624 630 640 650 651 672 675 676 700 702 720 728 744 750 756 775 780 800 806 819 829 832 837 840 845 864 868 875 896 900 910 930 936 945 960 975 992 1000 1008 1014 1040 1050 1080 1085 1092 1116 1120 1125 1152 1170 1183 1200 1209 1240 1248 1260 1300 1302 1344 1350 1352 1365 1395 1400 1404 1440 1456 1488 1500 1512 1521 1550 1560 1575 1600 1612 1625 1638 1658 1664 1674 1680 1690 1728 1736 1750 1755 1800 1820 1860 1872 1890 1920 1950 1953 1984 2000 2015 2016 2028 2080 2100 2160 2170 2184 2232 2240 2250 2275 2325 2340 2366 2400 2418 2457 2480 2487 2496 2520 2535 2600 2604 2625 2688 2700 2704 2730 2790 2800 2808 2821 2880 2912 2925 2976 3000 3024 3042 3100 3120 3150 3200 3224 3250 3255 3276 3316 3348 3360 3375 3380 3456 3472 3500 3510 3549 3600 3627 3640 3720 3744 3780 3875 3900 3906 3968 4000 4030 4032 4056 4095 4145 4160 4185 4200 4225 4320 4340 4368 4464 4480 4500 4550 4563 4650 4680 4725 4732 4800 4836 4875 4914 4960 4974 4992 5040 5070 5200 5208 5239 5250 5400 5408 5425 5460 5580 5600 5616 5642 5760 5803 5824 5850 5859 5915 5952 6000 6045 6048 6084 6200 6240 6300 6448 6500 6510 6552 6632 6696 6720 6750 6760 6825 6944 6975 7000 7020 7098 7200 7254 7280 7440 7461 7488 7560 7605 7750 7800 7812 7875 8000 8060 8064 8112 8190 8290 8320 8370 8400 8450 8463 8640 8680 8736 8775 8928 9000 9100 9126 9300 9360 9450 9464 9600 9672 9750 9765 9828 9920 9948 10075 10080 10140 10400 10416 10478 10500 10647 10777 10800 10816 10850 10881 10920 11160 11200 11232 11284 11375 11606 11625 11648 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3026181600 3040191700 3108551040 3127054320 3138262400 3157122150 3168547200 3207235200 3238074000 3257348250 3258964800 3283407036 3309886125 3362424000 3367596960 3389323392 3474504800 3507913500 3530545200 3608139600 3621072000 3648230040 3700656000 3741774400 3752465184 3782727000 3800239625 3885688800 3891445376 3908817900 3922828000 3960684000 4009044000 4034908800 4041116352 4073706000 4104258795 4169405760 4209496200 4236654240 4317432000 4343131000 4377876048 4413181500 4490129280 4510174500 4560287550 4655664000 4677218000 4690581480 4707393600 4810852800 4857111000 4864306720 4886022375 5003286912 5043636000 5051395440 5180918400 5211757200 5261870250 5280912000 5295817800 5345392000 5431608000 5472345060 5550984000 5612661600 5648872320 5773023360 5837168064 5863226850 5884242000 6013566000 6052363200 6080383400 6254108640 6314244300 6476148000 6514696500 6517929600 6566814072 6619772250 6724848000 6735193920 6840431325 6949009600 7015827000 7061090400 7216279200 7296460080 7483548800 7504930368 7565454000 7600479250 7771377600 7817635800 7845656000 7892805375 7921368000 8018088000 8082232704 8147412000 8208517590 8338811520 8418992400 8473308480 8634864000 8686262000 8755752096 8826363000 9020349000 9120575100 9354436000 9381162960 9414787200 9621705600 9714222000 9728613440 9772044750 10087272000 10102790880 10423514400 10523740500 10591635600 10863216000 10944690120 11101968000 11225323200 11400718875 11674336128 11726453700 11768484000 12027132000 12104726400 12160766800 12508217280 12628488600 12952296000 13029393000 13133628144 13239544500 13470387840 13680862650 13898019200 14031654000 14122180800 14432558400 14592920160 14658067125 15009860736 15130908000 15200958500 15542755200 15635271600 15691312000 15785610750 15842736000 16036176000 16294824000 16417035180 16837984800 16946616960 17372524000 17511504192 17652726000 18040698000 18241150200 18708872000 18762325920 19428444000 19457226880 19544089500 20174544000 20205581760 20521293975 20847028800 21047481000 21183271200 21889380240 22450646400 22801437750 23452907400 23536968000 24054264000 24321533600 25016434560 25256977200 25904592000 26058786000 26267256288 26479089000 27361725300 28063308000 28244361600 28865116800 29185840320 29316134250 30261816000 30401917000 31270543200 31571221500 32589648000 32834070360 33675969600 34202156625 34745048000 35023008384 35305452000 36081396000 36482300400 37417744000 37524651840 38856888000 39088179000 40411163520 41042587950 41694057600 42094962000 42366542400 43778760480 45602875500 46905814800 47073936000 48108528000 48643067200 50513954400 52117572000 52534512576 52958178000 54723450600 56126616000 58371680640 58632268500 60523632000 60803834000 62541086400 63142443000 65668140720 67351939200 68404313250 69490096000 70610904000 72162792000 72964600800 75049303680 77713776000 78176358000 82085175900 84189924000 84733084800 87557520960 91205751000 93811629600 97286134400 101027908800 102606469875 104235144000 105069025152 105916356000 109446901200 112253232000 117264537000 121607668000 125082172800 126284886000 131336281440 136808626500 141221808000 144325584000 145929201600 156352716000 164170351800 168379848000 175115041920 182411502000 187623259200 202055817600 205212939750 208470288000 211832712000 218893802400 234529074000 243215336000 252569772000 262672562880 273617253000 291858403200 312705432000 328340703600 336759696000 364823004000 375246518400 410425879500 423665424000 437787604800 469058148000 486430672000 505139544000 525345125760 547234506000 625410864000 656681407200 729646008000 820851759000 875575209600 938116296000 1010279088000 1094469012000 1313362814400 1459292016000 1641703518000 1876232592000 2188938024000 2626725628800 3283407036000 4377876048000 6566814072000 13133628144000
- Sum of all divisors σ(n): 61871966208000
- Sum of proper divisors (its aliquot sum) s(n): 48738338064000
- 13133628144000 is an abundant number, because the sum of its proper divisors (48738338064000) is greater than itself. Its abundance is 35604709920000
Bases of 13133628144000
- Binary: 101111110001111010010011110101111001100000002
- Hexadecimal: 0xBF1E93D7980
- Base-36: 4NLI73HC0
Squares and roots of 13133628144000
- 13133628144000 squared (131336281440002) is 172492188224868884736000000
- 13133628144000 cubed (131336281440003) is 2265448257890283385278621609984000000000
-
The
square root of 13133628144000 is 3624034.7879125001 -
The
cube root of 13133628144000 is 23593.6376510043
Scales and comparisons
How big is 13133628144000?- 13,133,628,144,000 seconds is equal to 417,608 years, 39 weeks.
-
To count from 1 to 13,133,628,144,000 would take you about one million, forty-four thousand and twenty-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 13133628144000 cubic inches would be around 1966.1 feet tall.
Recreational maths with 13133628144000
- 13133628144000 backwards is 00044182633131
- 13133628144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13133628144000's digits is 36
- More coming soon!
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The information we have on file for 13133628144000 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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