4968682913646400
4,968,682,913,646,400 is an even composite number composed of six prime numbers multiplied together.
4968682913646400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 4968682913646400:
26 × 52 × 13 × 241 × 6781 × 146173
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 241 × 6781 × 146173)See below for interesting mathematical facts about the number 4968682913646400 from the Numbermatics database.
Names of 4968682913646400
- Cardinal: 4968682913646400 can be written as Four quadrillion, nine hundred sixty-eight trillion, six hundred eighty-two billion, nine hundred thirteen million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.9686829136464 × 1015
Factors of 4968682913646400
Divisors of 4968682913646400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 241 260 320 325 400 416 482 520 650 800 832 964 1040 1205 1300 1600 1928 2080 2410 2600 3133 3856 4160 4820 5200 6025 6266 6781 7712 9640 10400 12050 12532 13562 15424 15665 19280 20800 24100 25064 27124 31330 33905 38560 48200 50128 54248 62660 67810 77120 78325 88153 96400 100256 108496 125320 135620 146173 156650 169525 176306 192800 200512 216992 250640 271240 292346 313300 339050 352612 385600 433984 440765 501280 542480 584692 626600 678100 705224 730865 881530 1002560 1084960 1169384 1253200 1356200 1410448 1461730 1634221 1763060 1900249 2169920 2203825 2338768 2506400 2712400 2820896 2923460 3268442 3526120 3654325 3800498 4407650 4677536 5012800 5424800 5641792 5846920 6536884 7052240 7308650 7600996 8171105 8815300 9355072 9501245 10849600 11693840 13073768 14104480 14617300 15201992 16342210 17630600 19002490 21244873 23387680 26147536 28208960 29234600 30403984 32684420 35227693 35261200 38004980 40855525 42489746 46775360 47506225 52295072 58469200 60807968 65368840 70455386 70522400 76009960 81711050 84979492 95012450 104590144 106224365 116938400 121615936 130737680 140910772 141044800 152019920 163422100 169958984 176138465 190024900 212448730 233876800 261475360 281821544 304039840 326844200 339917968 352276930 380049800 424897460 457960009 522950720 531121825 563643088 608079680 653688400 679835936 704553860 760099600 849794920 880692325 915920018 991199113 1062243650 1127286176 1307376800 1359671872 1409107720 1520199200 1699589840 1761384650 1831840036 1982398226 2124487300 2254572352 2289800045 2614753600 2818215440 3040398400 3399179680 3522769300 3663680072 3964796452 4248974600 4579600090 4955995565 5636430880 6798359360 7045538600 7327360144 7929592904 8497949200 9159200180 9911991130 11272861760 11449000225 12885588469 14091077200 14654720288 15859185808 16995898400 18318400360 19823982260 22898000450 24779977825 25771176938 28182154400 29309440576 31718371616 33991796800 36636800720 39647964520 45796000900 49559955650 51542353876 56364308800 63436743232 64427942345 73273601440 79295929040 91592001800 99119911300 103084707752 128855884690 146547202880 158591858080 183184003600 198239822600 206169415504 238878986233 257711769380 317183716160 322139711725 366368007200 396479645200 412338831008 477757972466 515423538760 644279423450 732736014400 792959290400 824677662016 955515944932 1030847077520 1194394931165 1288558846900 1585918580800 1911031889864 2061694155040 2388789862330 2577117693800 3105426821029 3822063779728 4123388310080 4777579724660 5154235387600 5971974655825 6210853642058 7644127559456 9555159449320 10308470775200 11943949311650 12421707284116 15288255118912 15527134105145 19110318898640 20616941550400 23887898623300 24843414568232 31054268210290 38220637797280 47775797246600 49686829136464 62108536420580 76441275594560 77635670525725 95551594493200 99373658272928 124217072841160 155271341051450 191103188986400 198747316545856 248434145682320 310542682102900 382206377972800 496868291364640 621085364205800 993736582729280 1242170728411600 2484341456823200 4968682913646400
- Sum of all divisors σ(n): 13223205074733808
- Sum of proper divisors (its aliquot sum) s(n): 8254522161087408
- 4968682913646400 is an abundant number, because the sum of its proper divisors (8254522161087408) is greater than itself. Its abundance is 3285839247441008
Bases of 4968682913646400
- Binary: 100011010011011111101101001000001000111000111010000002
- Hexadecimal: 0x11A6FDA411C740
- Base-36: 1CX91F36ZB4
Squares and roots of 4968682913646400
- 4968682913646400 squared (49686829136464002) is 24687809896361678839344232960000
- 4968682913646400 cubed (49686829136464003) is 122665899207402774834051551635195524665344000000
-
The
square root of 4968682913646400 is 70488885.0361984379 -
The
cube root of 4968682913646400 is 170639.8369335519
Scales and comparisons
How big is 4968682913646400?- 4,968,682,913,646,400 seconds is equal to 157,988,747 years, 26 weeks, 3 days, 3 hours, 6 minutes, 40 seconds.
-
To count from 1 to 4,968,682,913,646,400 would take you about four hundred seventy-three million, nine hundred sixty-six thousand, two hundred forty-two 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 4968682913646400 cubic inches would be around 14220 feet tall.
Recreational maths with 4968682913646400
- 4968682913646400 backwards is 0046463192868694
- The number of decimal digits it has is: 16
- The sum of 4968682913646400's digits is 76
- More coming soon!
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