3438604468992000000
3,438,604,468,992,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 3438604468992000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 9450 divisors.
3438604468992000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand, four hundred fifty divisors.
Prime factorization of 3438604468992000000:
214 × 3 × 56 × 72 × 114 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 79 × 79)See below for interesting mathematical facts about the number 3438604468992000000 from the Numbermatics database.
Names of 3438604468992000000
- Cardinal: 3438604468992000000 can be written as Three quintillion, four hundred thirty-eight quadrillion, six hundred four trillion, four hundred sixty-eight billion, nine hundred ninety-two million.
Scientific notation
- Scientific notation: 3.438604468992 × 1018
Factors of 3438604468992000000
Divisors of 3438604468992000000
- Number of divisors d(n): 9450
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 79 80 84 88 96 98 100 105 110 112 120 121 125 128 132 140 147 150 154 158 160 165 168 175 176 192 196 200 210 220 224 231 237 240 242 245 250 256 264 275 280 294 300 308 316 320 330 336 350 352 363 375 384 385 392 395 400 420 440 448 462 474 480 484 490 500 512 525 528 539 550 553 560 588 600 605 616 625 632 640 660 672 700 704 726 735 750 768 770 784 790 800 825 840 847 869 875 880 896 924 948 960 968 980 1000 1024 1050 1056 1078 1100 1106 1120 1155 1176 1185 1200 1210 1225 1232 1250 1264 1280 1320 1331 1344 1375 1400 1408 1452 1470 1500 1536 1540 1568 1580 1600 1617 1650 1659 1680 1694 1738 1750 1760 1792 1815 1848 1875 1896 1920 1925 1936 1960 1975 2000 2048 2100 2112 2156 2200 2212 2240 2310 2352 2370 2400 2420 2450 2464 2500 2528 2541 2560 2607 2625 2640 2662 2688 2695 2750 2765 2800 2816 2904 2940 3000 3025 3072 3080 3125 3136 3160 3200 3234 3300 3318 3360 3388 3476 3500 3520 3584 3630 3675 3696 3750 3792 3840 3850 3871 3872 3920 3950 3993 4000 4096 4125 4200 4224 4235 4312 4345 4375 4400 4424 4480 4620 4704 4740 4800 4840 4900 4928 5000 5056 5082 5120 5214 5250 5280 5324 5376 5390 5500 5530 5600 5632 5775 5808 5880 5925 5929 6000 6050 6083 6125 6144 6160 6241 6250 6272 6320 6400 6468 6600 6636 6655 6720 6776 6875 6952 7000 7040 7168 7260 7350 7392 7500 7584 7680 7700 7742 7744 7840 7900 7986 8000 8085 8192 8250 8295 8400 8448 8470 8624 8690 8750 8800 8848 8960 9075 9240 9317 9375 9408 9480 9559 9600 9625 9680 9800 9856 9875 10000 10112 10164 10240 10428 10500 10560 10648 10752 10780 11000 11060 11200 11264 11550 11613 11616 11760 11850 11858 12000 12100 12166 12250 12288 12320 12482 12500 12544 12640 12705 12800 12936 13035 13125 13200 13272 13310 13440 13475 13552 13750 13825 13904 14000 14080 14336 14520 14641 14700 14784 15000 15125 15168 15360 15400 15484 15488 15625 15680 15800 15972 16000 16170 16384 16500 16590 16800 16896 16940 17248 17380 17500 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3438604468992000000
- Sum of all divisors σ(n): 14853969493545448980
- Sum of proper divisors (its aliquot sum) s(n): 11415365024553448980
- 3438604468992000000 is an abundant number, because the sum of its proper divisors (11415365024553448980) is greater than itself. Its abundance is 7976760555561448980
Bases of 3438604468992000000
- Binary: 101111101110000110000010001011110010010101011011000000000000002
- Hexadecimal: 0x2FB8608BC956C000
- Base-36: Q4HVJXF1F11C
Squares and roots of 3438604468992000000
- 3438604468992000000 squared (34386044689920000002) is 11824000694171754289496064000000000000
- 3438604468992000000 cubed (34386044689920000003) is 40658061628343504547877711393994047488000000000000000000
-
The
square root of 3438604468992000000 is 1854347450.9897005815 -
The
cube root of 3438604468992000000 is 1509364.3025342235
Scales and comparisons
How big is 3438604468992000000?- 3,438,604,468,992,000,000 seconds is equal to 109,336,985,811 years, 50 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 3,438,604,468,992,000,000 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 3438604468992000000 cubic inches would be around 125780.4 feet tall.
Recreational maths with 3438604468992000000
- 3438604468992000000 backwards is 0000002998644068343
- 3438604468992000000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3438604468992000000's digits is 66
- More coming soon!
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The information we have on file for 3438604468992000000 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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