12728706426470400
12,728,706,426,470,400 is an even composite number composed of six prime numbers multiplied together.
12728706426470400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 12728706426470400:
224 × 3 × 52 × 173 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 17 × 29 × 71)See below for interesting mathematical facts about the number 12728706426470400 from the Numbermatics database.
Names of 12728706426470400
- Cardinal: 12728706426470400 can be written as Twelve quadrillion, seven hundred twenty-eight trillion, seven hundred six billion, four hundred twenty-six million, four hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.27287064264704 × 1016
Factors of 12728706426470400
Divisors of 12728706426470400
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 71 75 80 85 87 96 100 102 116 120 128 136 142 145 150 160 170 174 192 200 204 213 232 240 255 256 272 284 289 290 300 320 340 348 355 384 400 408 425 426 435 464 480 493 510 512 544 568 578 580 600 640 680 696 710 725 768 800 816 850 852 867 870 928 960 986 1020 1024 1065 1088 1136 1156 1160 1200 1207 1275 1280 1360 1392 1420 1445 1450 1479 1536 1600 1632 1700 1704 1734 1740 1775 1856 1920 1972 2040 2048 2059 2130 2175 2176 2272 2312 2320 2400 2414 2465 2550 2560 2720 2784 2840 2890 2900 2958 3072 3200 3264 3400 3408 3468 3480 3550 3621 3712 3840 3944 4080 4096 4118 4260 4335 4350 4352 4544 4624 4640 4800 4828 4913 4930 5100 5120 5325 5440 5568 5680 5780 5800 5916 6035 6144 6177 6400 6528 6800 6816 6936 6960 7100 7225 7242 7395 7424 7680 7888 8160 8192 8236 8381 8520 8670 8700 8704 9088 9248 9280 9600 9656 9826 9860 10200 10240 10295 10650 10880 11136 11360 11560 11600 11832 12070 12288 12325 12354 12800 13056 13600 13632 13872 13920 14200 14450 14484 14739 14790 14848 15360 15776 16320 16384 16472 16762 17040 17340 17400 17408 18105 18176 18496 18560 19200 19312 19652 19720 20400 20480 20519 20590 21300 21675 21760 22272 22720 23120 23200 23664 24140 24565 24576 24650 24708 25143 25600 26112 27200 27264 27744 27840 28400 28900 28968 29478 29580 29696 30175 30720 30885 31552 32640 32768 32944 33524 34080 34680 34800 34816 35003 36210 36352 36975 36992 37120 38400 38624 39304 39440 40800 40960 41038 41180 41905 42600 43350 43520 44544 45440 46240 46400 47328 48280 49130 49152 49300 49416 50286 51200 51475 52224 54400 54528 55488 55680 56800 57800 57936 58956 59160 59392 60350 61440 61557 61770 63104 65280 65536 65888 67048 68160 69360 69600 69632 70006 72420 72704 73695 73950 73984 74240 76800 77248 78608 78880 81600 81920 82076 82360 83810 85200 86700 87040 89088 90525 90880 92480 92800 94656 96560 98260 98304 98600 98832 100572 102400 102595 102950 104448 105009 108800 109056 110976 111360 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5486511390720 5505495859200 5602423603200 5849589350400 5852278816768 5975918510080 6181984665600 6215188684800 6239561973760 6454719283200 6629534597120 6858139238400 7171102212096 7315348520960 7340661145600 7469898137600 7487474368512 7799452467200 7955441516544 8286918246400 8606292377600 8778418225152 8808793374720 8963877765120 9144185651200 9359342960640 9944301895680 9983299158016 10545738547200 10607255355392 10973022781440 11010991718400 11204847206400 11699178700800 11951837020160 12430377369600 12479123947520 12909438566400 13259069194240 13716278476800 14630697041920 14681322291200 14939796275200 14974948737024 15598904934400 15910883033088 16573836492800 17556836450304 17927755530240 18288371302400 18718685921280 19888603791360 21214510710784 21946045562880 22021983436800 22409694412800 23398357401600 24860754739200 24958247895040 25818877132800 26518138388480 27432556953600 29261394083840 29879592550400 29949897474048 31197809868800 31821766066176 33147672985600 35855511060480 36576742604800 37437371842560 39777207582720 42429021421568 43892091125760 44043966873600 44819388825600 46796714803200 49721509478400 49916495790080 53036276776960 54865113907200 59759185100800 62395619737600 63643532132352 66295345971200 73153485209600 74874743685120 79554415165440 84858042843136 87784182251520 89638777651200 93593429606400 99443018956800 106072553553920 109730227814400 124791239475200 127287064264704 132590691942400 146306970419200 149749487370240 159108830330880 169716085686272 179277555302400 187186859212800 198886037913600 212145107107840 219460455628800 249582478950400 254574128529408 265181383884800 318217660661760 374373718425600 397772075827200 424290214215680 438920911257600 509148257058816 530362767769600 636435321323520 748747436851200 795544151654400 848580428431360 1060725535539200 1272870642647040 1591088303308800 2121451071078400 2545741285294080 3182176606617600 4242902142156800 6364353213235200 12728706426470400
- Sum of all divisors σ(n): 46913282130988800
- Sum of proper divisors (its aliquot sum) s(n): 34184575704518400
- 12728706426470400 is an abundant number, because the sum of its proper divisors (34184575704518400) is greater than itself. Its abundance is 21455869278048000
Bases of 12728706426470400
- Binary: 1011010011100010110000111010010000000000000000000000002
- Hexadecimal: 0x2D38B0E9000000
- Base-36: 3HBY708UY2O
Squares and roots of 12728706426470400
- 12728706426470400 squared (127287064264704002) is 162019967291268860481802076160000
- 12728706426470400 cubed (127287064264704003) is 2062304598876897950722224414848573100785664000000
-
The
square root of 12728706426470400 is 112821568.9771703185 -
The
cube root of 12728706426470400 is 233486.3109110223
Scales and comparisons
How big is 12728706426470400?- 12,728,706,426,470,400 seconds is equal to 404,733,491 years, 46 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 12,728,706,426,470,400 would take you about one billion, two hundred fourteen million, two hundred thousand, four hundred seventy-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 12728706426470400 cubic inches would be around 19457.2 feet tall.
Recreational maths with 12728706426470400
- 12728706426470400 backwards is 00407462460782721
- 12728706426470400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12728706426470400's digits is 60
- More coming soon!
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"Number 12728706426470400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 12728706426470400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/12728706426470400/
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The information we have on file for 12728706426470400 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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