4148331448128000000
4,148,331,448,128,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4148331448128000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 13104 divisors.
4148331448128000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of thirteen thousand, one hundred four divisors.
Prime factorization of 4148331448128000000:
212 × 3 × 56 × 72 × 192 × 313 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 31 × 31 × 31 × 41)See below for interesting mathematical facts about the number 4148331448128000000 from the Numbermatics database.
Names of 4148331448128000000
- Cardinal: 4148331448128000000 can be written as Four quintillion, one hundred forty-eight quadrillion, three hundred thirty-one trillion, four hundred forty-eight billion, one hundred twenty-eight million.
Scientific notation
- Scientific notation: 4.148331448128 × 1018
Factors of 4148331448128000000
Divisors of 4148331448128000000
- Number of divisors d(n): 13104
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 41 42 48 49 50 56 57 60 62 64 70 75 76 80 82 84 93 95 96 98 100 105 112 114 120 123 124 125 128 133 140 147 150 152 155 160 164 168 175 186 190 192 196 200 205 210 217 224 228 240 245 246 248 250 256 266 280 285 287 294 300 304 310 320 328 336 350 361 372 375 380 384 392 399 400 410 420 434 448 456 465 475 480 490 492 496 500 512 525 532 560 570 574 588 589 600 608 615 620 625 640 651 656 665 672 700 722 735 744 750 760 768 775 779 784 798 800 820 840 861 868 875 896 912 930 931 950 960 961 980 984 992 1000 1024 1025 1050 1064 1083 1085 1120 1140 1148 1176 1178 1200 1216 1225 1230 1240 1250 1271 1280 1302 1312 1330 1344 1400 1425 1435 1444 1470 1488 1500 1519 1520 1536 1550 1558 1568 1596 1600 1640 1680 1722 1736 1750 1767 1792 1805 1824 1860 1862 1875 1900 1920 1922 1960 1968 1984 1995 2000 2009 2048 2050 2100 2128 2166 2170 2240 2280 2296 2325 2337 2352 2356 2375 2400 2432 2450 2460 2480 2500 2527 2542 2560 2604 2624 2625 2660 2688 2793 2800 2850 2870 2883 2888 2940 2945 2976 3000 3038 3040 3072 3075 3100 3116 3125 3136 3192 3200 3255 3280 3325 3360 3444 3472 3500 3534 3584 3610 3648 3675 3720 3724 3750 3800 3813 3840 3844 3875 3895 3920 3936 3968 3990 4000 4018 4096 4100 4123 4200 4256 4305 4332 4340 4375 4480 4557 4560 4592 4650 4655 4674 4704 4712 4750 4800 4805 4864 4900 4920 4960 5000 5054 5084 5120 5125 5208 5248 5250 5320 5376 5415 5425 5453 5586 5600 5700 5740 5766 5776 5880 5890 5952 6000 6027 6076 6080 6125 6144 6150 6200 6232 6250 6272 6355 6384 6400 6510 6560 6650 6720 6727 6888 6944 7000 7068 7125 7168 7175 7220 7296 7350 7440 7448 7500 7581 7595 7600 7626 7680 7688 7750 7790 7840 7872 7936 7980 8000 8036 8200 8246 8400 8512 8610 8664 8680 8750 8835 8897 8960 9025 9114 9120 9184 9300 9310 9348 9375 9408 9424 9500 9600 9610 9728 9800 9840 9920 9975 10000 10045 10108 10168 10240 10250 10416 10496 10500 10640 10752 10830 10850 10906 11172 11191 11200 11400 11480 11532 11552 11625 11685 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4148331448128000000
- Sum of all divisors σ(n): 17967827495334173184
- Sum of proper divisors (its aliquot sum) s(n): 13819496047206173184
- 4148331448128000000 is an abundant number, because the sum of its proper divisors (13819496047206173184) is greater than itself. Its abundance is 9671164599078173184
Bases of 4148331448128000000
- Binary: 111001100100011101010101111001001010000100000001010000000000002
- Hexadecimal: 0x3991D57928405000
- Base-36: VIM4RQJJF6YO
Squares and roots of 4148331448128000000
- 4148331448128000000 squared (41483314481280000002) is 17208653803527749554704384000000000000
- 4148331448128000000 cubed (41483314481280000003) is 71387199753121684505299744433670193152000000000000000000
-
The
square root of 4148331448128000000 is 2036745307.6239061267 -
The
cube root of 4148331448128000000 is 1606785.1758352313
Scales and comparisons
How big is 4148331448128000000?- 4,148,331,448,128,000,000 seconds is equal to 131,904,108,418 years, 41 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 4,148,331,448,128,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4148331448128000000 cubic inches would be around 133898.8 feet tall.
Recreational maths with 4148331448128000000
- 4148331448128000000 backwards is 0000008218441338414
- The number of decimal digits it has is: 19
- The sum of 4148331448128000000's digits is 51
- More coming soon!
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The information we have on file for 4148331448128000000 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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