12638166144000
12,638,166,144,000 is an even composite number composed of five prime numbers multiplied together.
12638166144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 12638166144000:
210 × 3 × 53 × 473 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 47 × 47 × 47 × 317)See below for interesting mathematical facts about the number 12638166144000 from the Numbermatics database.
Names of 12638166144000
- Cardinal: 12638166144000 can be written as Twelve trillion, six hundred thirty-eight billion, one hundred sixty-six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.2638166144 × 1013
Factors of 12638166144000
Divisors of 12638166144000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 125 128 141 150 160 188 192 200 235 240 250 256 282 300 317 320 375 376 384 400 470 480 500 512 564 600 634 640 705 750 752 768 800 940 951 960 1000 1024 1128 1175 1200 1268 1280 1410 1500 1504 1536 1585 1600 1880 1902 1920 2000 2209 2256 2350 2400 2536 2560 2820 3000 3008 3072 3170 3200 3525 3760 3804 3840 4000 4418 4512 4700 4755 4800 5072 5120 5640 5875 6000 6016 6340 6400 6627 7050 7520 7608 7680 7925 8000 8836 9024 9400 9510 9600 10144 11045 11280 11750 12000 12032 12680 12800 13254 14100 14899 15040 15216 15360 15850 16000 17625 17672 18048 18800 19020 19200 20288 22090 22560 23500 23775 24000 24064 25360 25600 26508 28200 29798 30080 30432 31700 32000 33135 35250 35344 36096 37600 38040 38400 39625 40576 44180 44697 45120 47000 47550 48000 48128 50720 53016 55225 56400 59596 60160 60864 63400 64000 66270 70500 70688 72192 74495 75200 76080 76800 79250 81152 88360 89394 90240 94000 95100 96000 101440 103823 106032 110450 112800 118875 119192 120320 121728 126800 128000 132540 141000 141376 144384 148990 150400 152160 158500 162304 165675 176720 178788 180480 188000 190200 192000 202880 207646 212064 220900 223485 225600 237750 238384 240640 243456 253600 265080 276125 282000 282752 297980 300800 304320 311469 317000 324608 331350 353440 357576 360960 372475 376000 380400 384000 405760 415292 424128 441800 446970 451200 475500 476768 486912 507200 519115 530160 552250 564000 565504 595960 601600 608640 622938 634000 662700 700253 706880 715152 721920 744950 752000 760800 811520 828375 830584 848256 883600 893940 902400 951000 953536 973824 1014400 1038230 1060320 1104500 1117425 1128000 1131008 1191920 1203200 1217280 1245876 1268000 1325400 1400506 1413760 1430304 1489900 1504000 1521600 1557345 1623040 1656750 1661168 1696512 1767200 1787880 1804800 1862375 1902000 1907072 2028800 2076460 2100759 2120640 2209000 2234850 2256000 2262016 2383840 2434560 2491752 2536000 2595575 2650800 2801012 2827520 2860608 2979800 3008000 3043200 3114690 3313500 3322336 3393024 3501265 3534400 3575760 3609600 3724750 3804000 3814144 4057600 4152920 4201518 4241280 4418000 4469700 4512000 4767680 4869120 4983504 5072000 5191150 5301600 5587125 5602024 5655040 5721216 5959600 6016000 6086400 6229380 6627000 6644672 6786048 7002530 7068800 7151520 7449500 7608000 7628288 7786725 8115200 8305840 8403036 8482560 8836000 8939400 9024000 9535360 9967008 10144000 10382300 10503795 10603200 11174250 11204048 11310080 11442432 11919200 12172800 12458760 12977875 13254000 13289344 14005060 14137600 14303040 14899000 15216000 15256576 15573450 16611680 16806072 16965120 17506325 17672000 17878800 18048000 19070720 19934016 20288000 20764600 21007590 21206400 22348500 22408096 22884864 23838400 24345600 24917520 25955750 26508000 26578688 28010120 28275200 28606080 29798000 30432000 31146900 32911891 33223360 33612144 33930240 35012650 35344000 35757600 38141440 38933625 39868032 40576000 41529200 42015180 42412800 44697000 44816192 45769728 47676800 49835040 51911500 52518975 53016000 53157376 56020240 56550400 57212160 59596000 60864000 62293800 65823782 66446720 67224288 70025300 70688000 71515200 76282880 77867250 79736064 83058400 84030360 84825600 87531625 89394000 89632384 95353600 98735673 99670080 103823000 105037950 106032000 106314752 112040480 114424320 119192000 121728000 124587600 131647564 132893440 134448576 140050600 141376000 143030400 155734500 159472128 164559455 166116800 168060720 169651200 175063250 178788000 179264768 190707200 197471346 199340160 207646000 210075900 212064000 224080960 228848640 238384000 249175200 262594875 263295128 265786880 268897152 280101200 282752000 286060800 311469000 318944256 329118910 332233600 336121440 350126500 357576000 358529536 381414400 394942692 398680320 415292000 420151800 424128000 448161920 476768000 493678365 498350400 525189750 526590256 531573760 537794304 560202400 572121600 622938000 658237820 664467200 672242880 700253000 715152000 717059072 789885384 797360640 822797275 830584000 840303600 848256000 896323840 953536000 987356730 996700800 1050379500 1053180512 1075588608 1120404800 1144243200 1245876000 1316475640 1328934400 1344485760 1400506000 1430304000 1579770768 1594721280 1645594550 1661168000 1680607200 1792647680 1907072000 1974713460 1993401600 2100759000 2106361024 2151177216 2240809600 2468391825 2491752000 2632951280 2657868800 2688971520 2801012000 2860608000 3159541536 3291189100 3322336000 3361214400 3585295360 3949426920 3986803200 4113986375 4201518000 4212722048 4481619200 4936783650 4983504000 5265902560 5377943040 5602024000 5721216000 6319083072 6582378200 6644672000 6722428800 7898853840 7973606400 8227972750 8403036000 8425444096 8963238400 9873567300 9967008000 10531805120 10755886080 11204048000 12341959125 12638166144 13164756400 13289344000 13444857600 15797707680 16455945500 16806072000 16850888192 17926476800 19747134600 19934016000 21063610240 22408096000 24683918250 25276332288 26329512800 26889715200 31595415360 32911891000 33612144000 33701776384 39494269200 39868032000 42127220480 44816192000 49367836500 50552664576 52659025600 53779430400 63190830720 65823782000 67224288000 78988538400 84254440960 89632384000 98735673000 101105329152 105318051200 126381661440 131647564000 134448576000 157977076800 168508881920 197471346000 210636102400 252763322880 263295128000 268897152000 315954153600 394942692000 421272204800 505526645760 526590256000 631908307200 789885384000 842544409600 1053180512000 1263816614400 1579770768000 2106361024000 2527633228800 3159541536000 4212722048000 6319083072000 12638166144000
- Sum of all divisors σ(n): 43088667448320
- Sum of proper divisors (its aliquot sum) s(n): 30450501304320
- 12638166144000 is an abundant number, because the sum of its proper divisors (30450501304320) is greater than itself. Its abundance is 17812335160320
Bases of 12638166144000
- Binary: 101101111110100011010110011101010100000000002
- Hexadecimal: 0xB7E8D675400
- Base-36: 4H9W5TBEO
Squares and roots of 12638166144000
- 12638166144000 squared (126381661440002) is 159723243483347828736000000
- 12638166144000 cubed (126381661440003) is 2018608888201115156907225513984000000000
-
The
square root of 12638166144000 is 3555019.8514213671 -
The
cube root of 12638166144000 is 23293.1390975405
Scales and comparisons
How big is 12638166144000?- 12,638,166,144,000 seconds is equal to 401,854 years, 30 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 12,638,166,144,000 would take you about one million, four thousand, six hundred thirty-six 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 12638166144000 cubic inches would be around 1941.1 feet tall.
Recreational maths with 12638166144000
- 12638166144000 backwards is 00044166183621
- The number of decimal digits it has is: 14
- The sum of 12638166144000's digits is 42
- More coming soon!
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