1680993484800
1,680,993,484,800 is an even composite number composed of five prime numbers multiplied together.
1680993484800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eight divisors.
Prime factorization of 1680993484800:
216 × 3 × 52 × 7 × 48857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 48857)See below for interesting mathematical facts about the number 1680993484800 from the Numbermatics database.
Names of 1680993484800
- Cardinal: 1680993484800 can be written as One trillion, six hundred eighty billion, nine hundred ninety-three million, four hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.6809934848 × 1012
Factors of 1680993484800
Divisors of 1680993484800
- Number of divisors d(n): 408
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1024 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2048 2100 2240 2400 2560 2688 2800 3072 3200 3360 3584 3840 4096 4200 4480 4800 5120 5376 5600 6144 6400 6720 7168 7680 8192 8400 8960 9600 10240 10752 11200 12288 12800 13440 14336 15360 16384 16800 17920 19200 20480 21504 22400 24576 25600 26880 28672 30720 32768 33600 35840 38400 40960 43008 44800 48857 49152 51200 53760 57344 61440 65536 67200 71680 76800 81920 86016 89600 97714 98304 102400 107520 114688 122880 134400 143360 146571 153600 163840 172032 179200 195428 196608 204800 215040 229376 244285 245760 268800 286720 293142 307200 327680 341999 344064 358400 390856 409600 430080 458752 488570 491520 537600 573440 586284 614400 683998 688128 716800 732855 781712 819200 860160 977140 983040 1025997 1075200 1146880 1172568 1221425 1228800 1367996 1376256 1433600 1465710 1563424 1638400 1709995 1720320 1954280 2051994 2150400 2293760 2345136 2442850 2457600 2735992 2867200 2931420 3126848 3419990 3440640 3664275 3908560 4103988 4300800 4690272 4885700 4915200 5129985 5471984 5734400 5862840 6253696 6839980 6881280 7328550 7817120 8207976 8549975 8601600 9380544 9771400 10259970 10943968 11468800 11725680 12507392 13679960 14657100 15634240 16415952 17099950 17203200 18761088 19542800 20519940 21887936 23451360 25014784 25649925 27359920 29314200 31268480 32831904 34199900 34406400 37522176 39085600 41039880 43775872 46902720 50029568 51299850 54719840 58628400 62536960 65663808 68399800 75044352 78171200 82079760 87551744 93805440 100059136 102599700 109439680 117256800 125073920 131327616 136799600 150088704 156342400 164159520 175103488 187610880 200118272 205199400 218879360 234513600 250147840 262655232 273599200 300177408 312684800 328319040 350206976 375221760 400236544 410398800 437758720 469027200 500295680 525310464 547198400 600354816 625369600 656638080 700413952 750443520 800473088 820797600 875517440 938054400 1000591360 1050620928 1094396800 1200709632 1250739200 1313276160 1400827904 1500887040 1600946176 1641595200 1751034880 1876108800 2001182720 2101241856 2188793600 2401419264 2501478400 2626552320 2801655808 3001774080 3201892352 3283190400 3502069760 3752217600 4002365440 4202483712 4377587200 4802838528 5002956800 5253104640 5603311616 6003548160 6566380800 7004139520 7504435200 8004730880 8404967424 8755174400 9605677056 10005913600 10506209280 11206623232 12007096320 13132761600 14008279040 15008870400 16009461760 16809934848 17510348800 20011827200 21012418560 22413246464 24014192640 26265523200 28016558080 30017740800 33619869696 35020697600 40023654400 42024837120 48028385280 52531046400 56033116160 60035481600 67239739392 70041395200 80047308800 84049674240 105062092800 112066232320 120070963200 140082790400 168099348480 210124185600 240141926400 280165580800 336198696960 420248371200 560331161600 840496742400 1680993484800
- Sum of all divisors σ(n): 6352635982656
- Sum of proper divisors (its aliquot sum) s(n): 4671642497856
- 1680993484800 is an abundant number, because the sum of its proper divisors (4671642497856) is greater than itself. Its abundance is 2990649013056
Bases of 1680993484800
- Binary: 110000111011000110000010100000000000000002
- Hexadecimal: 0x18763050000
- Base-36: LG8K4A2O
Squares and roots of 1680993484800
- 1680993484800 squared (16809934848002) is 2825739095940047831040000
- 1680993484800 cubed (16809934848003) is 4750049010019862535378611208192000000
-
The
square root of 1680993484800 is 1296531.3281213069 -
The
cube root of 1680993484800 is 11890.1867755511
Scales and comparisons
How big is 1680993484800?- 1,680,993,484,800 seconds is equal to 53,450 years, 20 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 1,680,993,484,800 would take you about one hundred thirty-three thousand, six hundred twenty-five 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 1680993484800 cubic inches would be around 990.8 feet tall.
Recreational maths with 1680993484800
- 1680993484800 backwards is 0084843990861
- 1680993484800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1680993484800's digits is 60
- More coming soon!
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