12013246401112800
12,013,246,401,112,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 12013246401112800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
12013246401112800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 12013246401112800:
25 × 32 × 52 × 71 × 97 × 242268977
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 71 × 97 × 242268977)See below for interesting mathematical facts about the number 12013246401112800 from the Numbermatics database.
Names of 12013246401112800
- Cardinal: 12013246401112800 can be written as Twelve quadrillion, thirteen trillion, two hundred forty-six billion, four hundred one million, one hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.20132464011128 × 1016
Factors of 12013246401112800
Divisors of 12013246401112800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 71 72 75 80 90 96 97 100 120 142 144 150 160 180 194 200 213 225 240 284 288 291 300 355 360 388 400 426 450 480 485 568 582 600 639 710 720 776 800 852 873 900 970 1065 1136 1164 1200 1278 1420 1440 1455 1552 1704 1746 1775 1800 1940 2130 2272 2328 2400 2425 2556 2840 2910 3104 3195 3408 3492 3550 3600 3880 4260 4365 4656 4850 5112 5325 5680 5820 6390 6816 6887 6984 7100 7200 7275 7760 8520 8730 9312 9700 10224 10650 11360 11640 12780 13774 13968 14200 14550 15520 15975 17040 17460 19400 20448 20661 21300 21825 23280 25560 27548 27936 28400 29100 31950 34080 34435 34920 38800 41322 42600 43650 46560 51120 55096 56800 58200 61983 63900 68870 69840 77600 82644 85200 87300 102240 103305 110192 116400 123966 127800 137740 139680 165288 170400 172175 174600 206610 220384 232800 247932 255600 275480 309915 330576 344350 349200 413220 495864 511200 516525 550960 619830 661152 688700 698400 826440 991728 1033050 1101920 1239660 1377400 1549575 1652880 1983456 2066100 2479320 2754800 3099150 3305760 4132200 4958640 5509600 6198300 8264400 9917280 12396600 16528800 24793200 49586400 242268977 484537954 726806931 969075908 1211344885 1453613862 1938151816 2180420793 2422689770 2907227724 3634034655 3876303632 4360841586 4845379540 5814455448 6056724425 7268069310 7752607264 8721683172 9690759080 10902103965 11628910896 12113448850 14536138620 17201097367 17443366344 18170173275 19381518160 21804207930 23257821792 23500090769 24226897700 29072277240 34402194734 34886732688 36340346550 38763036320 43608415860 47000181538 48453795400 51603292101 54510519825 58144554480 68804389468 69773465376 70500272307 72680693100 86005486835 87216831720 94000363076 96907590800 103206584202 109021039650 116289108960 117500453845 137608778936 141000544614 145361386200 154809876303 172010973670 174433663440 188000726152 193815181600 206413168404 211500816921 218042079300 235000907690 258016460505 275217557872 282001089228 290722772400 309619752606 344021947340 348867326880 352501361535 376001452304 412826336808 423001633842 430027434175 436084158600 470001815380 516032921010 550435115744 564002178456 581445544800 587502269225 619239505212 688043894680 705002723070 752002904608 774049381515 825652673616 846003267684 860054868350 872168317200 940003630760 1032065842020 1057504084605 1128004356912 1175004538450 1238479010424 1290082302525 1376087789360 1410005446140 1548098763030 1651305347232 1668506444599 1692006535368 1720109736700 1744336634400 1762506807675 1880007261520 2064131684040 2115008169210 2256008713824 2350009076900 2476958020848 2580164605050 2752175578720 2820010892280 3096197526060 3337012889198 3384013070736 3440219473400 3525013615350 3760014523040 3870246907575 4128263368080 4230016338420 4700018153800 4953916041696 5005519333797 5160329210100 5287520423025 5640021784560 6192395052120 6674025778396 6768026141472 6880438946800 7050027230700 7740493815150 8256526736160 8342532222995 8460032676840 9400036307600 10011038667594 10320658420200 10575040846050 11280043569120 12384790104240 13348051556792 13760877893600 14100054461400 15016558001391 15480987630300 16685064445990 16920065353680 18800072615200 20022077335188 20641316840400 21150081692100 24769580208480 25027596668985 26696103113584 28200108922800 30033116002782 30961975260600 33370128891980 33840130707360 40044154670376 41282633680800 41712661114975 42300163384200 50055193337970 53392206227168 56400217845600 60066232005564 61923950521200 66740257783960 75082790006955 80088309340752 83425322229950 84600326768400 100110386675940 120132464011128 123847901042400 125137983344925 133480515567920 150165580013910 160176618681504 166850644459900 169200653536800 200220773351880 240264928022256 250275966689850 266961031135840 300331160027820 333701288919800 375413950034775 400441546703760 480529856044512 500551933379700 600662320055640 667402577839600 750827900069550 800883093407520 1001103866759400 1201324640111280 1334805155679200 1501655800139100 2002207733518800 2402649280222560 3003311600278200 4004415467037600 6006623200556400 12013246401112800
- Sum of all divisors σ(n): 43401223733710752
- Sum of proper divisors (its aliquot sum) s(n): 31387977332597952
- 12013246401112800 is an abundant number, because the sum of its proper divisors (31387977332597952) is greater than itself. Its abundance is 19374730931485152
Bases of 12013246401112800
- Binary: 1010101010110111111011111001000101011001101010111000002
- Hexadecimal: 0x2AADFBE4566AE0
- Base-36: 3AAC97IE480
Squares and roots of 12013246401112800
- 12013246401112800 squared (120132464011128002) is 144318089093849641189078323840000
- 12013246401112800 cubed (120132464011128003) is 1733728764422165633699622773904120534769152000000
-
The
square root of 12013246401112800 is 109604956.0973991723 -
The
cube root of 12013246401112800 is 229027.0583328797
Scales and comparisons
How big is 12013246401112800?- 12,013,246,401,112,800 seconds is equal to 381,984,076 years, 7 weeks, 3 days, 14 hours.
-
To count from 1 to 12,013,246,401,112,800 would take you about one billion, one hundred forty-five million, nine hundred fifty-two thousand, two hundred twenty-eight 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 12013246401112800 cubic inches would be around 19085.6 feet tall.
Recreational maths with 12013246401112800
- 12013246401112800 backwards is 00821110464231021
- 12013246401112800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12013246401112800's digits is 36
- More coming soon!
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