13432738659200
13,432,738,659,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13432738659200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13432738659200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13432738659200:
27 × 52 × 7 × 17 × 29 × 257 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 29 × 257 × 4733)See below for interesting mathematical facts about the number 13432738659200 from the Numbermatics database.
Names of 13432738659200
- Cardinal: 13432738659200 can be written as Thirteen trillion, four hundred thirty-two billion, seven hundred thirty-eight million, six hundred fifty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.34327386592 × 1013
Factors of 13432738659200
Divisors of 13432738659200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 50 56 58 64 68 70 80 85 100 112 116 119 128 136 140 145 160 170 175 200 203 224 232 238 257 272 280 290 320 340 350 400 406 425 448 464 476 493 514 544 560 580 595 640 680 700 725 800 812 850 896 928 952 986 1015 1028 1088 1120 1160 1190 1285 1360 1400 1450 1600 1624 1700 1799 1856 1904 1972 2030 2056 2176 2240 2320 2380 2465 2570 2720 2800 2900 2975 3200 3248 3400 3451 3598 3712 3808 3944 4060 4112 4369 4480 4640 4733 4760 4930 5075 5140 5440 5600 5800 5950 6425 6496 6800 6902 7196 7453 7616 7888 8120 8224 8738 8995 9280 9466 9520 9860 10150 10280 10880 11200 11600 11900 12325 12850 12992 13600 13804 14392 14906 15232 15776 16240 16448 17255 17476 17990 18560 18932 19040 19720 20300 20560 21845 22400 23200 23665 23800 24650 25700 25984 27200 27608 28784 29812 30583 31552 32480 32896 33131 34510 34952 35980 37265 37864 38080 39440 40600 41120 43690 44975 46400 47330 47600 49300 51400 52171 54400 55216 57568 59624 61166 63104 64960 66262 69020 69904 71960 74530 75728 76160 78880 80461 81200 82240 86275 87380 89950 92800 94660 95200 98600 102800 104342 109225 110432 115136 118325 119248 122332 126701 129920 132524 137257 138040 139808 143920 149060 151456 152915 157760 160922 162400 164480 165655 172550 174760 179900 186325 189320 190400 197200 205600 208684 218450 220864 230272 236650 238496 244664 253402 260855 265048 274514 276080 279616 287840 298120 302912 305830 315520 321844 324800 331310 345100 349520 359800 372650 378640 380800 394400 402305 411200 417368 436900 441728 473300 476992 489328 506804 521710 530096 549028 552160 559232 563227 575680 596240 605824 611660 633505 643688 649600 662620 686285 690200 699040 719600 745300 757280 764575 788800 804610 822400 828275 834736 873800 886907 946600 953984 960799 978656 1013608 1043420 1060192 1098056 1104320 1126454 1151360 1192480 1216381 1223320 1267010 1287376 1304275 1325240 1372570 1380400 1398080 1439200 1490600 1514560 1529150 1577600 1609220 1656550 1669472 1747600 1773814 1893200 1921598 1957312 2011525 2027216 2086840 2120384 2196112 2208640 2252908 2333369 2384960 2432762 2446640 2534020 2574752 2608550 2650480 2745140 2760800 2796160 2816135 2878400 2981200 3029120 3058300 3167525 3218440 3313100 3338944 3431425 3495200 3547628 3786400 3843196 3914624 4023050 4054432 4173680 4240768 4392224 4434535 4505816 4666738 4769920 4803995 4865524 4893280 5068040 5149504 5217100 5300960 5490280 5521600 5632270 5756800 5962400 6081905 6116600 6335050 6436880 6626200 6677888 6862850 6990400 7095256 7572800 7686392 8046100 8108864 8347360 8514667 8784448 8869070 9011632 9333476 9607990 9731048 9786560 10136080 10299008 10434200 10601920 10980560 11043200 11264540 11666845 11924800 12163810 12233200 12670100 12873760 13252400 13725700 13980800 14080675 14190512 15145600 15372784 16092200 16217728 16333583 16694720 17029334 17568896 17738140 18023264 18666952 19215980 19462096 19573120 20272160 20678477 20868400 21203840 21961120 22172675 22529080 23333690 23849600 24019975 24327620 24466400 25340200 25747520 26504800 27451400 28161350 28381024 30409525 30745568 32184400 32667166 33389440 34058668 35275049 35476280 36046528 37333904 38431960 38924192 40544320 41356954 41736800 42573335 43922240 44345350 45058160 46667380 48039950 48655240 48932800 50680400 51495040 53009600 54902800 56322700 56762048 58334225 60819050 61491136 64368800 65334332 68117336 70550098 70952560 72093056 74667808 76863920 77848384 81088640 81667915 82713908 83473600 85146670 87844480 88690700 90116320 93334760 96079900 97310480 97865600 101360800 103392385 106019200 109805600 112645400 113524096 116668450 121638100 122982272 128737600 130668664 136234672 141100196 141905120 144749339 149335616 153727840 155696768 163335830 165427816 166947200 170293340 176375245 177381400 180232640 186669520 192159800 194620960 202721600 206784770 212866675 219611200 225290800 233336900 243276200 246925343 257475200 261337328 272469344 282200392 283810240 289498678 298671232 307455680 326671660 330855632 340586680 352750490 354762800 360465280 373339040 384319600 389241920 405443200 408339575 413569540 425733350 439222400 450581600 466673800 486552400 493850686 516961925 522674656 544938688 564400784 567620480 578997356 599675833 614911360 653343320 661711264 681173360 705500980 709525600 723746695 746678080 768639200 778483840 816679150 827139080 851466700 881876225 901163200 933347600 973104800 987701372 1033923850 1045349312 1089877376 1128801568 1157994712 1199351666 1234626715 1306686640 1323422528 1362346720 1411001960 1419051200 1447493390 1493356160 1537278400 1633358300 1654278160 1702933400 1763752450 1802326400 1866695200 1946209600 1975402744 2067847700 2090698624 2257603136 2315989424 2398703332 2469253430 2613373280 2646845056 2724693440 2822003920 2838102400 2894986780 2998379165 3074556800 3266716600 3308556320 3405866800 3527504900 3618733475 3733390400 3892419200 3950805488 4135695400 4197730831 4515206272 4631978848 4797406664 4938506860 5226746560 5449386880 5644007840 5789973560 5996758330 6173133575 6533433200 6617112640 6811733600 7055009800 7237466950 7466780800 7901610976 8271390800 8395461662 9263957696 9594813328 9877013720 10453493120 11288015680 11579947120 11993516660 12346267150 13066866400 13234225280 13623467200 14110019600 14474933900 14991895825 15803221952 16542781600 16790923324 18527915392 19189626656 19754027440 20988654155 22576031360 23159894240 23987033320 24692534300 26133732800 27246934400 28220039200 28949867800 29983791650 31606443904 33085563200 33581846648 38379253312 39508054880 41977308310 46319788480 47974066640 49385068600 52267465600 56440078400 57899735600 59967583300 66171126400 67163693296 76758506624 79016109760 83954616620 92639576960 95948133280 98770137200 104943270775 112880156800 115799471200 119935166600 134327386592 158032219520 167909233240 191896266560 197540274400 209886541550 231598942400 239870333200 268654773184 335818466480 383792533120 395080548800 419773083100 463197884800 479740666400 537309546368 671636932960 790161097600 839546166200 959481332800 1343273865920 1679092332400 1918962665600 2686547731840 3358184664800 6716369329600 13432738659200
- Sum of all divisors σ(n): 41709365251200
- Sum of proper divisors (its aliquot sum) s(n): 28276626592000
- 13432738659200 is an abundant number, because the sum of its proper divisors (28276626592000) is greater than itself. Its abundance is 14843887932800
Bases of 13432738659200
- Binary: 110000110111100011011001110110111011100000002
- Hexadecimal: 0xC378D9DBB80
- Base-36: 4REWXRVY8
Squares and roots of 13432738659200
- 13432738659200 squared (134327386592002) is 180438467886366213744640000
- 13432738659200 cubed (134327386592003) is 2423782783184009151976356124786688000000
-
The
square root of 13432738659200 is 3665070.0756192917 -
The
cube root of 13432738659200 is 23771.4052100331
Scales and comparisons
How big is 13432738659200?- 13,432,738,659,200 seconds is equal to 427,119 years, 28 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,432,738,659,200 would take you about one million, sixty-seven thousand, seven hundred ninety-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 13432738659200 cubic inches would be around 1981 feet tall.
Recreational maths with 13432738659200
- 13432738659200 backwards is 00295683723431
- The number of decimal digits it has is: 14
- The sum of 13432738659200's digits is 53
- More coming soon!
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