12427088314368
12,427,088,314,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 12427088314368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
12427088314368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12427088314368:
214 × 3 × 73 × 13 × 56701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 56701)See below for interesting mathematical facts about the number 12427088314368 from the Numbermatics database.
Names of 12427088314368
- Cardinal: 12427088314368 can be written as Twelve trillion, four hundred twenty-seven billion, eighty-eight million, three hundred fourteen thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2427088314368 × 1013
Factors of 12427088314368
Divisors of 12427088314368
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 182 192 196 208 224 256 273 294 312 336 343 364 384 392 416 448 512 546 588 624 637 672 686 728 768 784 832 896 1024 1029 1092 1176 1248 1274 1344 1372 1456 1536 1568 1664 1792 1911 2048 2058 2184 2352 2496 2548 2688 2744 2912 3072 3136 3328 3584 3822 4096 4116 4368 4459 4704 4992 5096 5376 5488 5824 6144 6272 6656 7168 7644 8192 8232 8736 8918 9408 9984 10192 10752 10976 11648 12288 12544 13312 13377 14336 15288 16384 16464 17472 17836 18816 19968 20384 21504 21952 23296 24576 25088 26624 26754 28672 30576 32928 34944 35672 37632 39936 40768 43008 43904 46592 49152 50176 53248 53508 56701 57344 61152 65856 69888 71344 75264 79872 81536 86016 87808 93184 100352 106496 107016 113402 114688 122304 131712 139776 142688 150528 159744 163072 170103 172032 175616 186368 200704 212992 214032 226804 244608 263424 279552 285376 301056 319488 326144 340206 344064 351232 372736 396907 401408 428064 453608 489216 526848 559104 570752 602112 638976 652288 680412 702464 737113 745472 793814 802816 856128 907216 978432 1053696 1118208 1141504 1190721 1204224 1304576 1360824 1404928 1474226 1490944 1587628 1712256 1814432 1956864 2107392 2211339 2236416 2283008 2381442 2408448 2609152 2721648 2778349 2809856 2948452 3175256 3424512 3628864 3913728 4214784 4422678 4472832 4566016 4762884 5159791 5218304 5443296 5556698 5619712 5896904 6350512 6849024 7257728 7827456 8335047 8429568 8845356 9132032 9525768 10319582 10436608 10886592 11113396 11793808 12701024 13698048 14515456 15479373 15654912 16670094 16859136 17690712 18264064 19051536 19448443 20639164 21773184 22226792 23587616 25402048 27396096 29030912 30958746 31309824 33340188 35381424 36118537 36528128 38103072 38896886 41278328 43546368 44453584 47175232 50804096 54792192 58061824 58345329 61917492 66680376 70762848 72237074 73056256 76206144 77793772 82556656 87092736 88907168 94350464 101608192 108355611 109584384 116123648 116690658 123834984 133360752 141525696 144474148 152412288 155587544 165113312 174185472 177814336 188700928 203216384 216711222 219168768 232247296 233381316 247669968 252829759 266721504 283051392 288948296 304824576 311175088 330226624 348370944 355628672 377401856 406432768 433422444 464494592 466762632 495339936 505659518 533443008 566102784 577896592 609649152 622350176 660453248 696741888 711257344 754803712 758489277 812865536 866844888 928989184 933525264 990679872 1011319036 1066886016 1132205568 1155793184 1219298304 1244700352 1320906496 1393483776 1422514688 1509607424 1516978554 1625731072 1733689776 1867050528 1981359744 2022638072 2133772032 2264411136 2311586368 2438596608 2489400704 2641812992 2786967552 2845029376 3019214848 3033957108 3251462144 3467379552 3734101056 3962719488 4045276144 4267544064 4528822272 4623172736 4877193216 4978801408 5283625984 5690058752 6038429696 6067914216 6502924288 6934759104 7468202112 7925438976 8090552288 8535088128 9057644544 9246345472 9754386432 9957602816 10567251968 11380117504 12076859392 12135828432 13869518208 14936404224 15850877952 16181104576 17070176256 18115289088 18492690944 19508772864 19915205632 21134503936 22760235008 24271656864 27739036416 29872808448 31701755904 32362209152 34140352512 36230578176 36985381888 39830411264 42269007872 45520470016 48543313728 55478072832 59745616896 63403511808 64724418304 68280705024 73970763776 79660822528 84538015744 97086627456 110956145664 119491233792 126807023616 129448836608 136561410048 147941527552 159321645056 194173254912 221912291328 238982467584 253614047232 258897673216 295883055104 318643290112 388346509824 443824582656 477964935168 517795346432 591766110208 776693019648 887649165312 955929870336 1035590692864 1553386039296 1775298330624 2071181385728 3106772078592 4142362771456 6213544157184 12427088314368
- Sum of all divisors σ(n): 41618179321600
- Sum of proper divisors (its aliquot sum) s(n): 29191091007232
- 12427088314368 is an abundant number, because the sum of its proper divisors (29191091007232) is greater than itself. Its abundance is 16764002692864
Bases of 12427088314368
- Binary: 101101001101011010000010111101000000000000002
- Hexadecimal: 0xB4D682F4000
- Base-36: 4EKXBIVPC
Squares and roots of 12427088314368
- 12427088314368 squared (124270883143682) is 154432523973101699595239424
- 12427088314368 cubed (124270883143683) is 1919146614024488150195639801473539244032
-
The
square root of 12427088314368 is 3525207.5562111233 -
The
cube root of 12427088314368 is 23162.7326731027
Scales and comparisons
How big is 12427088314368?- 12,427,088,314,368 seconds is equal to 395,142 years, 50 weeks, 2 days, 16 hours, 12 minutes, 48 seconds.
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To count from 1 to 12,427,088,314,368 would take you about nine hundred eighty-seven thousand, eight hundred fifty-seven 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 12427088314368 cubic inches would be around 1930.2 feet tall.
Recreational maths with 12427088314368
- 12427088314368 backwards is 86341388072421
- The number of decimal digits it has is: 14
- The sum of 12427088314368's digits is 57
- More coming soon!
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