3968522246946816
3,968,522,246,946,816 is an even composite number composed of seven prime numbers multiplied together.
3968522246946816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 3968522246946816:
220 × 32 × 13 × 29 × 83 × 89 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 83 × 89 × 151)See below for interesting mathematical facts about the number 3968522246946816 from the Numbermatics database.
Names of 3968522246946816
- Cardinal: 3968522246946816 can be written as Three quadrillion, nine hundred sixty-eight trillion, five hundred twenty-two billion, two hundred forty-six million, nine hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.968522246946816 × 1015
Factors of 3968522246946816
Divisors of 3968522246946816
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 83 87 89 96 104 116 117 128 144 151 156 166 174 178 192 208 232 234 249 256 261 267 288 302 312 332 348 356 377 384 416 453 464 468 498 512 522 534 576 604 624 664 696 712 747 754 768 801 832 906 928 936 996 1024 1044 1068 1079 1131 1152 1157 1208 1248 1328 1359 1392 1424 1494 1508 1536 1602 1664 1812 1856 1872 1963 1992 2048 2088 2136 2158 2262 2304 2314 2407 2416 2496 2581 2656 2718 2784 2848 2988 3016 3072 3204 3237 3328 3393 3471 3624 3712 3744 3926 3984 4096 4176 4272 4316 4379 4524 4608 4628 4814 4832 4992 5162 5312 5436 5568 5696 5889 5976 6032 6144 6408 6474 6656 6786 6942 7221 7248 7387 7424 7488 7743 7852 7968 8192 8352 8544 8632 8758 9048 9216 9256 9628 9664 9711 9984 10324 10413 10624 10872 11136 11392 11778 11952 12064 12288 12533 12816 12948 13137 13312 13439 13572 13884 14442 14496 14774 14848 14976 15486 15704 15936 16384 16704 17088 17264 17516 17667 18096 18432 18512 19256 19328 19422 19968 20648 20826 21248 21663 21744 22161 22272 22784 23229 23556 23904 24128 24576 25066 25632 25896 26274 26624 26878 27144 27768 28884 28992 29548 29696 29952 30972 31291 31408 31872 32768 33408 33553 34176 34528 35032 35334 36192 36864 37024 37599 38512 38656 38844 39411 39936 40317 41296 41652 42496 43326 43488 44322 44544 45568 46458 47112 47808 48256 49152 50132 51264 51792 52548 53248 53756 54288 55536 56927 57768 57984 59096 59392 59904 61944 62582 62816 63744 65536 66483 66816 67106 68352 69056 70064 70668 72384 73728 74048 75198 77024 77312 77688 78822 79872 80634 82592 83304 84992 86652 86976 88644 89088 91136 92916 93873 94224 95616 96031 96512 98304 100264 100659 102528 103584 105096 106496 107512 108576 111072 112797 113854 115536 115968 118192 118784 119808 120951 123888 125164 125632 127488 131072 132966 133632 134212 136704 138112 140128 141336 144768 147456 148096 150396 154048 154624 155376 157644 159744 161268 162929 165184 166608 169984 170781 173304 173952 174707 177288 178176 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10526584209408 11147534401536 11403799560192 11953380261888 12719622586368 13140802142208 13779591135232 14863379202048 15205066080256 15502040027136 15937840349184 16959496781824 17105699340288 19079433879552 20669386702848 22295068803072 22807599120384 23906760523776 25439245172736 26281604284416 27559182270464 31004080054272 33918993563648 34211398680576 38158867759104 41338773405696 44590137606144 45615198240768 47813521047552 50878490345472 55118364540928 62008160108544 68422797361152 76317735518208 82677546811392 101756980690944 110236729081856 124016320217088 136845594722304 152635471036416 165355093622784 220473458163712 248032640434176 305270942072832 330710187245568 440946916327424 496065280868352 661420374491136 992130561736704 1322840748982272 1984261123473408 3968522246946816
- Sum of all divisors σ(n): 13157934737875200
- Sum of proper divisors (its aliquot sum) s(n): 9189412490928384
- 3968522246946816 is an abundant number, because the sum of its proper divisors (9189412490928384) is greater than itself. Its abundance is 5220890243981568
Bases of 3968522246946816
- Binary: 11100001100101011001100101101101000000000000000000002
- Hexadecimal: 0xE195996D00000
- Base-36: 132Q1Y9MGW0
Squares and roots of 3968522246946816
- 3968522246946816 squared (39685222469468162) is 15749168824511805234633932537856
- 3968522246946816 cubed (39685222469468163) is 62500926850996334193012980327979934614338666496
-
The
square root of 3968522246946816 is 62996208.1949923079 -
The
cube root of 3968522246946816 is 158322.6096363199
Scales and comparisons
How big is 3968522246946816?- 3,968,522,246,946,816 seconds is equal to 126,186,732 years, 2 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 3,968,522,246,946,816 would take you about three hundred seventy-eight million, five hundred sixty thousand, one hundred ninety-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 3968522246946816 cubic inches would be around 13193.6 feet tall.
Recreational maths with 3968522246946816
- 3968522246946816 backwards is 6186496422258693
- The number of decimal digits it has is: 16
- The sum of 3968522246946816's digits is 81
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The information we have on file for 3968522246946816 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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