1353744128000
1,353,744,128,000 is an even composite number composed of five prime numbers multiplied together.
1353744128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1353744128000:
211 × 53 × 113 × 29 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 29 × 137)See below for interesting mathematical facts about the number 1353744128000 from the Numbermatics database.
Names of 1353744128000
- Cardinal: 1353744128000 can be written as One trillion, three hundred fifty-three billion, seven hundred forty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.353744128 × 1012
Factors of 1353744128000
Divisors of 1353744128000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 110 116 121 125 128 137 145 160 176 200 220 232 242 250 256 274 275 290 319 320 352 400 440 464 484 500 512 548 550 580 605 638 640 685 704 725 800 880 928 968 1000 1024 1096 1100 1160 1210 1276 1280 1331 1370 1375 1408 1450 1507 1595 1600 1760 1856 1936 2000 2048 2192 2200 2320 2420 2552 2560 2662 2740 2750 2816 2900 3014 3025 3190 3200 3425 3509 3520 3625 3712 3872 3973 4000 4384 4400 4640 4840 5104 5120 5324 5480 5500 5632 5800 6028 6050 6380 6400 6655 6850 7018 7040 7250 7424 7535 7744 7946 7975 8000 8768 8800 9280 9680 10208 10240 10648 10960 11000 11264 11600 12056 12100 12760 12800 13310 13700 14036 14080 14500 14848 15070 15125 15488 15892 15950 16000 16577 17125 17536 17545 17600 18560 19360 19865 20416 21296 21920 22000 22528 23200 24112 24200 25520 25600 26620 27400 28072 28160 29000 29696 30140 30250 30976 31784 31900 32000 33154 33275 34250 35072 35090 35200 37120 37675 38599 38720 39730 39875 40832 42592 43703 43840 44000 46400 48224 48400 51040 51200 53240 54800 56144 56320 58000 59392 60280 60500 61952 63568 63800 64000 66308 66550 68500 70144 70180 70400 74240 75350 77198 77440 79460 79750 81664 82885 85184 87406 87680 87725 88000 92800 96448 96800 99325 102080 106480 109600 112288 112640 116000 120560 121000 123904 127136 127600 128000 132616 133100 137000 140288 140360 140800 148480 150700 154396 154880 158920 159500 163328 165770 166375 170368 174812 175360 175450 176000 182347 185600 188375 192896 192995 193600 198650 204160 212960 218515 219200 224576 232000 241120 242000 247808 254272 255200 256000 265232 266200 274000 280576 280720 281600 296960 301400 308792 309760 317840 319000 326656 331540 332750 340736 349624 350720 350900 352000 364694 371200 376750 385792 385990 387200 397300 408320 414425 425920 437030 438400 438625 449152 464000 480733 482240 484000 496625 508544 510400 530464 532400 548000 561440 563200 602800 617584 619520 635680 638000 653312 663080 665500 681472 699248 701440 701800 704000 729388 742400 753500 771584 771980 774400 794600 816640 828850 851840 874060 876800 877250 898304 911735 928000 961466 964480 964975 968000 993250 1017088 1020800 1060928 1064800 1092575 1096000 1122880 1205600 1235168 1239040 1271360 1276000 1326160 1331000 1362944 1398496 1402880 1403600 1408000 1458776 1484800 1507000 1543168 1543960 1548800 1589200 1633280 1657700 1703680 1748120 1753600 1754500 1796608 1823470 1856000 1922932 1928960 1929950 1936000 1986500 2034176 2041600 2072125 2121856 2129600 2185150 2192000 2245760 2403665 2411200 2470336 2542720 2552000 2652320 2662000 2725888 2796992 2807200 2816000 2917552 3014000 3086336 3087920 3097600 3178400 3266560 3315400 3407360 3496240 3507200 3509000 3593216 3646940 3712000 3845864 3857920 3859900 3872000 3973000 4068352 4083200 4144250 4243712 4259200 4370300 4384000 4491520 4558675 4807330 4822400 4824875 4940672 5085440 5104000 5288063 5304640 5324000 5462875 5593984 5614400 5835104 6028000 6175840 6195200 6356800 6630800 6814720 6992480 7014400 7018000 7186432 7293880 7424000 7691728 7715840 7719800 7744000 7946000 8136704 8166400 8288500 8487424 8518400 8740600 8768000 8983040 9117350 9614660 9644800 9649750 9881344 10170880 10208000 10576126 10609280 10648000 10925750 11187968 11228800 11670208 12018325 12056000 12351680 12713600 13261600 13629440 13984960 14036000 14587760 15383456 15431680 15439600 15488000 15892000 16332800 16577000 16974848 17036800 17481200 17536000 17966080 18234700 19229320 19289600 19299500 19762688 20341760 20416000 21152252 21218560 21296000 21851500 22375936 22457600 22793375 23340416 24036650 24112000 24703360 25427200 26440315 26523200 27969920 28072000 29175520 30766912 30879200 30976000 31784000 33154000 33949696 34073600 34962400 35072000 35932160 36469400 38458640 38579200 38599000 39525376 40683520 40832000 42304504 42437120 42592000 43703000 44751872 44915200 45586750 46680832 48073300 48224000 49406720 50854400 52880630 53046400 55939840 56144000 58351040 60091625 61533824 61758400 63568000 66308000 68147200 69924800 72938800 76917280 77158400 77198000 79050752 81664000 84609008 84874240 85184000 87406000 89503744 89830400 91173500 93361664 96146600 96448000 98813440 101708800 105761260 106092800 111879680 112288000 116702080 120183250 123067648 123516800 127136000 132201575 132616000 139849600 145877600 153834560 154396000 169218016 169748480 170368000 174812000 179660800 182347000 186723328 192293200 192896000 197626880 203417600 211522520 212185600 223759360 224576000 233404160 240366500 246135296 247033600 254272000 264403150 265232000 279699200 291755200 307669120 308792000 338436032 340736000 349624000 364694000 373446656 384586400 385792000 395253760 423045040 424371200 447518720 449152000 466808320 480733000 492270592 494067200 508544000 528806300 530464000 559398400 583510400 615338240 617584000 661007875 676872064 699248000 729388000 769172800 846090080 848742400 898304000 933616640 961466000 984541184 988134400 1017088000 1057612600 1060928000 1118796800 1167020800 1230676480 1235168000 1322015750 1353744128 1398496000 1458776000 1538345600 1692180160 1867233280 1922932000 1976268800 2115225200 2121856000 2237593600 2334041600 2461352960 2470336000 2644031500 2707488256 2796992000 2917552000 3076691200 3384360320 3845864000 4230450400 4243712000 4668083200 4922705920 4940672000 5288063000 5414976512 5593984000 5835104000 6153382400 6768720640 7691728000 8460900800 9336166400 9881344000 10576126000 10829953024 11187968000 11670208000 12306764800 13537441280 15383456000 16921801600 21152252000 23340416000 24613529600 27074882560 30766912000 33843603200 42304504000 46680832000 54149765120 61533824000 67687206400 84609008000 123067648000 135374412800 169218016000 270748825600 338436032000 676872064000 1353744128000
- Sum of all divisors σ(n): 3871862467200
- Sum of proper divisors (its aliquot sum) s(n): 2518118339200
- 1353744128000 is an abundant number, because the sum of its proper divisors (2518118339200) is greater than itself. Its abundance is 1164374211200
Bases of 1353744128000
- Binary: 100111011001100010111000000011000000000002
- Hexadecimal: 0x13B31701800
- Base-36: H9WGAUBK
Squares and roots of 1353744128000
- 1353744128000 squared (13537441280002) is 1832623164094480384000000
- 1353744128000 cubed (13537441280003) is 2480902847229683257051185152000000000
-
The
square root of 1353744128000 is 1163505.1044151031 -
The
cube root of 1353744128000 is 11062.3024613667
Scales and comparisons
How big is 1353744128000?- 1,353,744,128,000 seconds is equal to 43,044 years, 45 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 1,353,744,128,000 would take you about one hundred seven thousand, six hundred twelve 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 1353744128000 cubic inches would be around 921.9 feet tall.
Recreational maths with 1353744128000
- 1353744128000 backwards is 0008214473531
- The number of decimal digits it has is: 13
- The sum of 1353744128000's digits is 38
- More coming soon!
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