14064431628288000
14,064,431,628,288,000 is an even composite number composed of five prime numbers multiplied together.
14064431628288000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 14064431628288000:
218 × 3 × 53 × 312 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 53 × 53 × 53)See below for interesting mathematical facts about the number 14064431628288000 from the Numbermatics database.
Names of 14064431628288000
- Cardinal: 14064431628288000 can be written as Fourteen quadrillion, sixty-four trillion, four hundred thirty-one billion, six hundred twenty-eight million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.4064431628288 × 1016
Factors of 14064431628288000
Divisors of 14064431628288000
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 53 60 62 64 75 80 93 96 100 106 120 124 125 128 150 155 159 160 186 192 200 212 240 248 250 256 265 300 310 318 320 372 375 384 400 424 465 480 496 500 512 530 600 620 636 640 744 750 768 775 795 800 848 930 960 961 992 1000 1024 1060 1200 1240 1272 1280 1325 1488 1500 1536 1550 1590 1600 1643 1696 1860 1920 1922 1984 2000 2048 2120 2325 2400 2480 2544 2560 2650 2809 2883 2976 3000 3072 3100 3180 3200 3286 3392 3720 3840 3844 3875 3968 3975 4000 4096 4240 4650 4800 4805 4929 4960 5088 5120 5300 5618 5766 5952 6000 6144 6200 6360 6400 6572 6625 6784 7440 7680 7688 7750 7936 7950 8000 8192 8215 8427 8480 9300 9600 9610 9858 9920 10176 10240 10600 11236 11532 11625 11904 12000 12288 12400 12720 12800 13144 13250 13568 14045 14415 14880 15360 15376 15500 15872 15900 16000 16384 16430 16854 16960 18600 19200 19220 19716 19840 19875 20352 20480 21200 22472 23064 23250 23808 24000 24025 24576 24645 24800 25440 25600 26288 26500 27136 28090 28830 29760 30720 30752 31000 31744 31800 32000 32768 32860 33708 33920 37200 38400 38440 39432 39680 39750 40704 40960 41075 42135 42400 44944 46128 46500 47616 48000 48050 49152 49290 49600 50880 50933 51200 52576 53000 54272 56180 57660 59520 61440 61504 62000 63488 63600 64000 65536 65720 67416 67840 70225 72075 74400 76800 76880 78864 79360 79500 81408 81920 82150 84270 84800 87079 89888 92256 93000 95232 96000 96100 98304 98580 99200 101760 101866 102400 105152 106000 108544 112360 115320 119040 120125 122880 123008 123225 124000 126976 127200 128000 131072 131440 134832 135680 140450 144150 148800 148877 152799 153600 153760 157728 158720 159000 162816 163840 164300 168540 169600 174158 179776 184512 186000 190464 192000 192200 196608 197160 198400 203520 203732 204800 205375 210304 210675 212000 217088 224720 230640 238080 240250 245760 246016 246450 248000 253952 254400 254665 256000 261237 262144 262880 269664 271360 280900 288300 297600 297754 305598 307200 307520 315456 317440 318000 325632 327680 328600 337080 339200 348316 351125 359552 360375 369024 372000 380928 384000 384400 393216 394320 396800 407040 407464 409600 410750 420608 421350 424000 434176 435395 446631 449440 461280 476160 480500 491520 492032 492900 496000 507904 508800 509330 512000 522474 525760 539328 542720 561800 576600 595200 595508 611196 614400 615040 616125 630912 634880 636000 651264 655360 657200 674160 678400 696632 702250 719104 720750 738048 744000 744385 761856 763995 768000 768800 786432 788640 793600 814080 814928 819200 821500 841216 842700 848000 868352 870790 893262 898880 922560 952320 961000 983040 984064 985800 992000 1015808 1017600 1018660 1024000 1044948 1051520 1053375 1078656 1085440 1123600 1153200 1190400 1191016 1222392 1228800 1230080 1232250 1261824 1269760 1272000 1273325 1302528 1306185 1310720 1314400 1348320 1356800 1393264 1404500 1438208 1441500 1476096 1488000 1488770 1523712 1527990 1536000 1537600 1577280 1587200 1628160 1629856 1638400 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276423577600 283557089280 285340467200 286141594000 292704092160 293008992256 295371968000 302460895232 304900096000 312932352000 331708293120 333794508800 342408560640 343369912800 345529472000 353822179328 354446361600 356675584000 365880115200 366261240320 378076119040 414635366400 417243136000 428010700800 429212391000 439513488384 442277724160 443057952000 453691342848 457350144000 457826550400 472595148800 487840153600 500691763200 518294208000 530733268992 535013376000 549391860480 552847155200 567114178560 570680934400 572283188000 585408184320 586017984512 590743936000 604921790464 609800192000 625864704000 663416586240 686739825600 691058944000 707644358656 708892723200 713351168000 731760230400 732522480640 756152238080 829270732800 834486272000 856021401600 858424782000 879026976768 884555448320 886115904000 907382685696 914700288000 915653100800 945190297600 975680307200 1001383526400 1036588416000 1061466537984 1070026752000 1098783720960 1105694310400 1134228357120 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7032215814144 7088927232000 7317602304000 7325224806400 7561522380800 8292707328000 8560214016000 8790269767680 8845554483200 9073826856960 9156531008000 9376287752192 9451902976000 10614665379840 10987837209600 11056943104000 11342283571200 11720359690240 13268331724800 13734796512000 14064431628288 14177854464000 14635204608000 14650449612800 15123044761600 16585414656000 17580539535360 17691108966400 18147653713920 18313062016000 18752575504384 18903805952000 21975674419200 22113886208000 22684567142400 23440719380480 26536663449600 27469593024000 28128863256576 28355708928000 29300899225600 30246089523200 33170829312000 35161079070720 36626124032000 37505151008768 37807611904000 43951348838400 44227772416000 45369134284800 46881438760960 53073326899200 54939186048000 56257726513152 56711417856000 58601798451200 66341658624000 70322158141440 73252248064000 75615223808000 87902697676800 88455544832000 90738268569600 93762877521920 109878372096000 112515453026304 113422835712000 117203596902400 132683317248000 140644316282880 146504496128000 151230447616000 175805395353600 187525755043840 219756744192000 226845671424000 234407193804800 265366634496000 281288632565760 293008992256000 351610790707200 439513488384000 453691342848000 468814387609600 562577265131520 586017984512000 703221581414400 879026976768000 937628775219200 1172035969024000 1406443162828800 1758053953536000 2344071938048000 2812886325657600 3516107907072000 4688143876096000 7032215814144000 14064431628288000
- Sum of all divisors σ(n): 49295015461748160
- Sum of proper divisors (its aliquot sum) s(n): 35230583833460160
- 14064431628288000 is an abundant number, because the sum of its proper divisors (35230583833460160) is greater than itself. Its abundance is 21166152205172160
Bases of 14064431628288000
- Binary: 1100011111011110000110101010110010110000000000000000002
- Hexadecimal: 0x31F786AB2C0000
- Base-36: 3UHFAOYMADC
Squares and roots of 14064431628288000
- 14064431628288000 squared (140644316282880002) is 197808237026787843001810944000000
- 14064431628288000 cubed (140644316282880003) is 2782060425175444394624283200854658383872000000000
-
The
square root of 14064431628288000 is 118593556.4366293891 -
The
cube root of 14064431628288000 is 241383.3972993947
Scales and comparisons
How big is 14064431628288000?- 14,064,431,628,288,000 seconds is equal to 447,205,421 years, 33 weeks, 13 hours, 20 minutes.
-
To count from 1 to 14,064,431,628,288,000 would take you about one billion, three hundred forty-one million, six hundred sixteen thousand, two hundred sixty-four 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 14064431628288000 cubic inches would be around 20115.3 feet tall.
Recreational maths with 14064431628288000
- 14064431628288000 backwards is 00088282613446041
- The number of decimal digits it has is: 17
- The sum of 14064431628288000's digits is 57
- More coming soon!
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"Number 14064431628288000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 14064431628288000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/14064431628288000/
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The information we have on file for 14064431628288000 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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