13945328640000
13,945,328,640,000 is an even composite number composed of five prime numbers multiplied together.
13945328640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13945328640000:
213 × 32 × 54 × 472 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 47 × 47 × 137)See below for interesting mathematical facts about the number 13945328640000 from the Numbermatics database.
Names of 13945328640000
- Cardinal: 13945328640000 can be written as Thirteen trillion, nine hundred forty-five billion, three hundred twenty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.394532864 × 1013
Factors of 13945328640000
Divisors of 13945328640000
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 72 75 80 90 94 96 100 120 125 128 137 141 144 150 160 180 188 192 200 225 235 240 250 256 274 282 288 300 320 360 375 376 384 400 411 423 450 470 480 500 512 548 564 576 600 625 640 685 705 720 750 752 768 800 822 846 900 940 960 1000 1024 1096 1125 1128 1152 1175 1200 1233 1250 1280 1370 1410 1440 1500 1504 1536 1600 1644 1692 1800 1875 1880 1920 2000 2048 2055 2115 2192 2209 2250 2256 2304 2350 2400 2466 2500 2560 2740 2820 2880 3000 3008 3072 3200 3288 3384 3425 3525 3600 3750 3760 3840 4000 4096 4110 4230 4384 4418 4500 4512 4608 4700 4800 4932 5000 5120 5480 5625 5640 5760 5875 6000 6016 6144 6165 6400 6439 6576 6627 6768 6850 7050 7200 7500 7520 7680 8000 8192 8220 8460 8768 8836 9000 9024 9216 9400 9600 9864 10000 10240 10275 10575 10960 11045 11250 11280 11520 11750 12000 12032 12288 12330 12800 12878 13152 13254 13536 13700 14100 14400 15000 15040 15360 16000 16440 16920 17125 17536 17625 17672 18000 18048 18432 18800 19200 19317 19728 19881 20000 20480 20550 21150 21920 22090 22500 22560 23040 23500 24000 24064 24576 24660 25600 25756 26304 26508 27072 27400 28200 28800 29375 30000 30080 30720 30825 32000 32195 32880 33135 33840 34250 35072 35250 35344 36000 36096 36864 37600 38400 38634 39456 39762 40000 40960 41100 42300 43840 44180 45000 45120 46080 47000 48000 48128 49320 51200 51375 51512 52608 52875 53016 54144 54800 55225 56400 57600 57951 58750 60000 60160 61440 61650 64000 64390 65760 66270 67680 68500 70144 70500 70688 72000 72192 73728 75200 76800 77268 78912 79524 80000 82200 84600 85625 87680 88125 88360 90000 90240 92160 94000 96000 96256 96585 98640 99405 102400 102750 103024 105216 105750 106032 108288 109600 110450 112800 115200 115902 117500 120000 120320 122880 123300 128000 128780 131520 132540 135360 137000 140288 141000 141376 144000 144384 150400 153600 154125 154536 157824 159048 160000 160975 164400 165675 169200 171250 175360 176250 176720 180000 180480 184320 188000 192000 192512 193170 197280 198810 204800 205500 206048 210432 211500 212064 216576 219200 220900 225600 230400 231804 235000 240000 240640 246600 256000 256875 257560 263040 264375 265080 270720 274000 276125 280576 282000 282752 288000 288768 289755 300800 302633 307200 308250 309072 315648 318096 320000 321950 328800 331350 338400 342500 350720 352500 353440 360000 360960 368640 376000 384000 385024 386340 394560 397620 411000 412096 420864 423000 424128 433152 438400 441800 451200 460800 463608 470000 480000 481280 482925 493200 497025 512000 513750 515120 526080 528750 530160 541440 548000 552250 561152 564000 565504 576000 577536 579510 601600 605266 614400 616500 618144 631296 636192 640000 643900 657600 662700 676800 685000 701440 705000 706880 720000 721920 752000 768000 770625 772680 789120 795240 804875 822000 824192 828375 841728 846000 848256 866304 876800 883600 902400 907899 921600 927216 940000 960000 962560 965850 986400 994050 1024000 1027500 1030240 1052160 1057500 1060320 1082880 1096000 1104500 1122304 1128000 1131008 1152000 1155072 1159020 1203200 1210532 1233000 1236288 1262592 1272384 1280000 1287800 1315200 1325400 1353600 1370000 1380625 1402880 1410000 1413760 1440000 1443840 1448775 1504000 1513165 1536000 1541250 1545360 1578240 1590480 1609750 1644000 1648384 1656750 1683456 1692000 1696512 1732608 1753600 1767200 1804800 1815798 1843200 1854432 1880000 1920000 1925120 1931700 1972800 1988100 2055000 2060480 2104320 2115000 2120640 2165760 2192000 2209000 2256000 2262016 2304000 2318040 2406400 2414625 2421064 2466000 2472576 2485125 2525184 2544768 2560000 2575600 2630400 2650800 2707200 2723697 2740000 2761250 2805760 2820000 2827520 2880000 2887680 2897550 3008000 3026330 3072000 3082500 3090720 3156480 3180960 3219500 3288000 3296768 3313500 3366912 3384000 3393024 3465216 3507200 3534400 3609600 3631596 3708864 3760000 3840000 3863400 3945600 3976200 4024375 4110000 4120960 4141875 4208640 4230000 4241280 4331520 4384000 4418000 4512000 4524032 4539495 4608000 4636080 4812800 4829250 4842128 4932000 4945152 4970250 5050368 5089536 5120000 5151200 5260800 5301600 5414400 5447394 5480000 5522500 5611520 5640000 5655040 5760000 5775360 5795100 6016000 6052660 6165000 6181440 6312960 6361920 6439000 6576000 6593536 6627000 6768000 6786048 7014400 7068800 7219200 7243875 7263192 7417728 7520000 7565825 7680000 7726800 7891200 7952400 8048750 8220000 8241920 8283750 8417280 8460000 8482560 8663040 8768000 8836000 9024000 9048064 9078990 9216000 9272160 9625600 9658500 9684256 9864000 9890304 9940500 10100736 10179072 10302400 10521600 10603200 10828800 10894788 10960000 11045000 11280000 11310080 11520000 11590200 12032000 12073125 12105320 12330000 12362880 12425625 12625920 12723840 12878000 13152000 13187072 13254000 13536000 13572096 13618485 14028800 14137600 14438400 14487750 14526384 14835456 15040000 15131650 15360000 15453600 15782400 15904800 16097500 16440000 16483840 16567500 16834560 16920000 16965120 17326080 17536000 17672000 18048000 18096128 18157980 18544320 19317000 19368512 19728000 19780608 19881000 20358144 20604800 21043200 21206400 21657600 21789576 21920000 22090000 22560000 22620160 22697475 23040000 23180400 24064000 24146250 24210640 24660000 24725760 24851250 25251840 25447680 25756000 26304000 26374144 26508000 27072000 27144192 27236970 28057600 28275200 28876800 28975500 29052768 29670912 30080000 30263300 30907200 31564800 31809600 32195000 32880000 32967680 33135000 33840000 33930240 35072000 35344000 36096000 36219375 36315960 37088640 37829125 38634000 38737024 39456000 39561216 39762000 40716288 41209600 42086400 42412800 43315200 43579152 43840000 44180000 45120000 45240320 45394950 46080000 46360800 48128000 48292500 48421280 49320000 49451520 49702500 50503680 50895360 51512000 52608000 52748288 53016000 54144000 54288384 54473940 56550400 57951000 58105536 59341824 60160000 60526600 61814400 63129600 63619200 64390000 65760000 65935360 66270000 67680000 67860480 68092425 70144000 70688000 72192000 72438750 72631920 74177280 75658250 77268000 77474048 78912000 79122432 79524000 81432576 82419200 84172800 84825600 86630400 87158304 87680000 88360000 90240000 90480640 90789900 92721600 96585000 96842560 98640000 98903040 99405000 101790720 103024000 105216000 106032000 108288000 108947880 113100800 113487375 115902000 116211072 118683648 120320000 121053200 123628800 126259200 127238400 128780000 131520000 131870720 132540000 135360000 135720960 136184850 140288000 141376000 144384000 144877500 145263840 148354560 151316500 154536000 154948096 157824000 158244864 159048000 162865152 164838400 169651200 174316608 175360000 176720000 180480000 181579800 185443200 189145625 193170000 193685120 197280000 197806080 198810000 203581440 206048000 210432000 212064000 216576000 217895760 226201600 226974750 231804000 232422144 237367296 240640000 242106400 247257600 252518400 254476800 257560000 263040000 263741440 265080000 270720000 271441920 272369700 282752000 289755000 290527680 296709120 302633000 309072000 309896192 315648000 318096000 329676800 339302400 340462125 348633216 350720000 353440000 360960000 363159600 370886400 378291250 386340000 387370240 394560000 395612160 397620000 407162880 412096000 420864000 424128000 433152000 435791520 452403200 453949500 463608000 464844288 474734592 484212800 494515200 508953600 515120000 526080000 530160000 541440000 544739400 565504000 567436875 579510000 581055360 593418240 605266000 618144000 619792384 631296000 636192000 659353600 678604800 680924250 697266432 701440000 706880000 721920000 726319200 741772800 756582500 772680000 774740480 789120000 791224320 795240000 814325760 824192000 848256000 871583040 907899000 927216000 929688576 968425600 989030400 1017907200 1030240000 1052160000 1060320000 1082880000 1089478800 1131008000 1134873750 1159020000 1162110720 1186836480 1210532000 1236288000 1239584768 1262592000 1272384000 1318707200 1357209600 1361848500 1394532864 1413760000 1452638400 1483545600 1513165000 1545360000 1549480960 1578240000 1590480000 1648384000 1696512000 1702310625 1743166080 1815798000 1854432000 1859377152 1936851200 1978060800 2035814400 2060480000 2104320000 2120640000 2165760000 2178957600 2262016000 2269747500 2318040000 2324221440 2373672960 2421064000 2472576000 2479169536 2544768000 2723697000 2789065728 2827520000 2905276800 2967091200 3026330000 3090720000 3098961920 3156480000 3180960000 3296768000 3393024000 3404621250 3486332160 3631596000 3708864000 3718754304 3873702400 3956121600 4071628800 4120960000 4241280000 4357915200 4539495000 4636080000 4648442880 4842128000 4945152000 5089536000 5447394000 5578131456 5655040000 5810553600 5934182400 6052660000 6181440000 6197923840 6312960000 6361920000 6593536000 6786048000 6809242500 6972664320 7263192000 7417728000 7437508608 7747404800 8241920000 8482560000 8715830400 9078990000 9272160000 9296885760 9684256000 9890304000 10179072000 10894788000 11156262912 11310080000 11621107200 11868364800 12105320000 12362880000 12395847680 12723840000 13618485000 13945328640 14526384000 14835456000 15494809600 16483840000 16965120000 17431660800 18157980000 18544320000 18593771520 19368512000 19780608000 20358144000 21789576000 22312525824 23242214400 24210640000 24725760000 25447680000 27236970000 27890657280 29052768000 29670912000 30989619200 32967680000 33930240000 34863321600 36315960000 37088640000 37187543040 38737024000 43579152000 46484428800 48421280000 49451520000 50895360000 54473940000 55781314560 58105536000 59341824000 61979238400 69726643200 72631920000 74177280000 77474048000 87158304000 92968857600 96842560000 98903040000 101790720000 108947880000 111562629120 116211072000 139453286400 145263840000 148354560000 154948096000 174316608000 185937715200 193685120000 217895760000 232422144000 278906572800 290527680000 296709120000 309896192000 348633216000 387370240000 435791520000 464844288000 557813145600 581055360000 697266432000 774740480000 871583040000 929688576000 1162110720000 1394532864000 1549480960000 1743166080000 2324221440000 2789065728000 3486332160000 4648442880000 6972664320000 13945328640000
- Sum of all divisors σ(n): 51808195144134
- Sum of proper divisors (its aliquot sum) s(n): 37862866504134
- 13945328640000 is an abundant number, because the sum of its proper divisors (37862866504134) is greater than itself. Its abundance is 23917537864134
Bases of 13945328640000
- Binary: 110010101110111001100101110000100000000000002
- Hexadecimal: 0xCAEE65C2000
- Base-36: 4XYE8M4G0
Squares and roots of 13945328640000
- 13945328640000 squared (139453286400002) is 194472190877604249600000000
- 13945328640000 cubed (139453286400003) is 2711978613129001276532588544000000000000
-
The
square root of 13945328640000 is 3734344.4725948891 -
The
cube root of 13945328640000 is 24070.0089160817
Scales and comparisons
How big is 13945328640000?- 13,945,328,640,000 seconds is equal to 443,418 years, 16 weeks, 2 days, 16 hours.
-
To count from 1 to 13,945,328,640,000 would take you about one million, one hundred eight thousand, five hundred 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 13945328640000 cubic inches would be around 2005.8 feet tall.
Recreational maths with 13945328640000
- 13945328640000 backwards is 00004682354931
- 13945328640000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13945328640000's digits is 45
- More coming soon!
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The information we have on file for 13945328640000 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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