13648798078752
13,648,798,078,752 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13648798078752 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
13648798078752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13648798078752:
25 × 3 × 23 × 31 × 181 × 683 × 1613
(2 × 2 × 2 × 2 × 2 × 3 × 23 × 31 × 181 × 683 × 1613)See below for interesting mathematical facts about the number 13648798078752 from the Numbermatics database.
Names of 13648798078752
- Cardinal: 13648798078752 can be written as Thirteen trillion, six hundred forty-eight billion, seven hundred ninety-eight million, seventy-eight thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.3648798078752 × 1013
Factors of 13648798078752
Divisors of 13648798078752
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 181 184 186 248 276 362 368 372 496 543 552 683 713 724 736 744 992 1086 1104 1366 1426 1448 1488 1613 2049 2139 2172 2208 2732 2852 2896 2976 3226 4098 4163 4278 4344 4839 5464 5611 5704 5792 6452 8196 8326 8556 8688 9678 10928 11222 11408 12489 12904 15709 16392 16652 16833 17112 17376 19356 21173 21856 22444 22816 24978 25808 31418 32784 33304 33666 34224 37099 38712 42346 44888 47127 49956 50003 51616 62836 63519 65568 66608 67332 68448 74198 77424 84692 89776 94254 99912 100006 111297 123623 125672 127038 129053 133216 134664 148396 150009 154848 169384 179552 188508 199824 200012 222594 247246 251344 254076 258106 269328 291953 296792 300018 338768 370869 377016 387159 399648 400024 445188 486979 494492 502688 508152 516212 538656 583906 593584 600036 677536 741738 754032 774318 800048 875859 890376 973958 988984 1016304 1032424 1101679 1150069 1167812 1187168 1200072 1460937 1483476 1508064 1548636 1600096 1751718 1780752 1947916 1977968 2032608 2064848 2203358 2300138 2335624 2400144 2843329 2921874 2966952 3097272 3305037 3450207 3503436 3561504 3832313 3895832 3955936 4129696 4406716 4600276 4671248 4800288 5686658 5843748 5933904 6194544 6610074 6714919 6900414 7006872 7664626 7791664 8529987 8813432 9050543 9200552 9342496 11373316 11496939 11687496 11867808 12389088 13220148 13429838 13800828 14013744 15329252 15583328 17059974 17626864 18101086 18401104 20144757 22746632 22993878 23374992 25338617 26440296 26859676 27151629 27601656 28027488 30658504 34119948 34152049 35253728 36202172 36802208 40289514 45493264 45987756 46749984 50677234 52880592 53719352 54303258 55203312 61317008 68239896 68304098 72404344 76015851 80579028 88143199 90986528 91975512 101354468 102456147 105761184 107438704 108606516 110406624 122634016 136479792 136608196 144808688 152031702 161158056 176286398 183951024 199403899 202708936 204912294 208162489 214877408 217213032 264429597 272959584 273216392 289617376 304063404 322316112 352572796 367902048 398807798 405417872 409824588 416324978 434426064 528859194 546432784 598211697 608126808 624487467 644632224 705145592 785497127 797615596 810835744 819649176 832649956 868852128 1057718388 1092865568 1196423394 1216253616 1248974934 1410291184 1570994254 1595231192 1639298352 1665299912 2115436776 2356491381 2392846788 2432507232 2497949868 2820582368 3141988508 3190462384 3278596704 3330599824 4230873552 4586289677 4712982762 4785693576 4995899736 6181520869 6283977016 6380924768 6661199648 8461747104 9172579354 9425965524 9571387152 9991799472 12363041738 12567954032 13758869031 18345158708 18544562607 18851931048 19142774304 19983598944 24726083476 25135908064 27517738062 36690317416 37089125214 37703862096 49452166952 55035476124 73380634832 74178250428 75407724192 98904333904 110070952248 142174979987 146761269664 148356500856 197808667808 220141904496 284349959974 296713001712 426524939961 440283808992 568699919948 593426003424 853049879922 1137399839896 1706099759844 2274799679792 3412199519688 4549599359584 6824399039376 13648798078752
- Sum of all divisors σ(n): 38885956042752
- Sum of proper divisors (its aliquot sum) s(n): 25237157964000
- 13648798078752 is an abundant number, because the sum of its proper divisors (25237157964000) is greater than itself. Its abundance is 11588359885248
Bases of 13648798078752
- Binary: 110001101001110110111100001011010111001000002
- Hexadecimal: 0xC69DBC2D720
- Base-36: 4U665Z31C
Squares and roots of 13648798078752
- 13648798078752 squared (136487980787522) is 186289688994544286393877504
- 13648798078752 cubed (136487980787523) is 2542630349240043654742534130930833195008
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The
square root of 13648798078752 is 3694427.9772045901 -
The
cube root of 13648798078752 is 23898.1786271835
Scales and comparisons
How big is 13648798078752?- 13,648,798,078,752 seconds is equal to 433,989 years, 29 weeks, 23 hours, 39 minutes, 12 seconds.
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To count from 1 to 13,648,798,078,752 would take you about one million, eighty-four thousand, nine hundred seventy-three 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 13648798078752 cubic inches would be around 1991.5 feet tall.
Recreational maths with 13648798078752
- 13648798078752 backwards is 25787089784631
- The number of decimal digits it has is: 14
- The sum of 13648798078752's digits is 75
- More coming soon!
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