13680898358400
13,680,898,358,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13680898358400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13680898358400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13680898358400:
27 × 33 × 52 × 7 × 13 × 1740041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 1740041)See below for interesting mathematical facts about the number 13680898358400 from the Numbermatics database.
Names of 13680898358400
- Cardinal: 13680898358400 can be written as Thirteen trillion, six hundred eighty billion, eight hundred ninety-eight million, three hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36808983584 × 1013
Factors of 13680898358400
Divisors of 13680898358400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 252 260 270 273 280 288 300 312 315 320 325 336 350 351 360 364 378 384 390 400 416 420 432 448 450 455 468 480 504 520 525 540 546 560 576 585 600 624 630 640 650 672 675 700 702 720 728 756 780 800 819 832 840 864 896 900 910 936 945 960 975 1008 1040 1050 1080 1092 1120 1152 1170 1200 1248 1260 1300 1344 1350 1365 1400 1404 1440 1456 1512 1560 1575 1600 1638 1664 1680 1728 1755 1800 1820 1872 1890 1920 1950 2016 2080 2100 2160 2184 2240 2275 2340 2400 2457 2496 2520 2600 2688 2700 2730 2800 2808 2880 2912 2925 3024 3120 3150 3200 3276 3360 3456 3510 3600 3640 3744 3780 3900 4032 4095 4160 4200 4320 4368 4480 4550 4680 4725 4800 4914 4992 5040 5200 5400 5460 5600 5616 5760 5824 5850 6048 6240 6300 6552 6720 6825 7020 7200 7280 7488 7560 7800 8064 8190 8320 8400 8640 8736 8775 9100 9360 9450 9600 9828 10080 10400 10800 10920 11200 11232 11648 11700 12096 12285 12480 12600 13104 13440 13650 14040 14400 14560 14976 15120 15600 16380 16800 17280 17472 17550 18200 18720 18900 19656 20160 20475 20800 21600 21840 22400 22464 23400 24192 24570 24960 25200 26208 27300 28080 28800 29120 30240 31200 32760 33600 34944 35100 36400 37440 37800 39312 40320 40950 41600 43200 43680 44928 46800 49140 50400 52416 54600 56160 58240 60480 61425 62400 65520 67200 70200 72800 74880 75600 78624 81900 86400 87360 93600 98280 100800 104832 109200 112320 120960 122850 124800 131040 140400 145600 151200 157248 163800 174720 187200 196560 201600 218400 224640 245700 262080 280800 291200 302400 314496 327600 374400 393120 436800 491400 524160 561600 604800 655200 786240 873600 982800 1123200 1310400 1572480 1740041 1965600 2620800 3480082 3931200 5220123 6960164 7862400 8700205 10440246 12180287 13920328 15660369 17400410 20880492 22620533 24360574 26100615 27840656 31320738 34800820 36540861 41760984 43501025 45241066 46981107 48721148 52201230 55681312 60901435 62641476 67861599 69601640 73081722 78301845 83521968 87002050 90482132 93962214 97442296 104402460 109622583 111362624 113102665 121802870 125282952 130503075 135723198 139203280 146163444 156603690 158343731 167043936 174004100 180964264 182704305 187924428 194884592 203584797 208804920 219245166 222725248 226205330 234905535 243605740 250565904 261006150 271446396 278406560 292326888 304507175 313207380 316687462 328867749 334087872 339307995 348008200 361928528 365408610 375848856 389769184 391509225 407169594 417609840 438490332 452410660 469811070 475031193 487211480 501131808 522012300 542892792 548112915 556813120 565513325 584653776 609014350 610754391 626414760 633374924 657735498 668175744 678615990 696016400 723857056 730817220 751697712 779538368 783018450 791718655 814339188 835219680 876980664 904821320 913521525 939622140 950062386 974422960 1002263616 1017923985 1044024600 1085785584 1096225830 1113626240 1131026650 1169307552 1174527675 1218028700 1221508782 1252829520 1266749848 1315470996 1357231980 1392032800 1425093579 1447714112 1461634440 1503395424 1559076736 1566036900 1583437310 1628678376 1644338745 1670439360 1696539975 1753961328 1809642640 1827043050 1879244280 1900124772 1948845920 2004527232 2035847970 2088049200 2171571168 2192451660 2262053300 2338615104 2349055350 2375155965 2436057400 2443017564 2505659040 2533499696 2630941992 2714463960 2740564575 2784065600 2850187158 2895428224 2923268880 3006790848 3053771955 3132073800 3166874620 3257356752 3288677490 3340878720 3393079950 3507922656 3619285280 3654086100 3758488560 3800249544 3897691840 3958593275 4071695940 4176098400 4275280737 4343142336 4384903320 4524106600 4677230208 4698110700 4750311930 4872114800 4886035128 5011318080 5066999392 5089619925 5261883984 5428927920 5481129150 5568131200 5700374316 5846537760 6013581696 6107543910 6264147600 6333749240 6514713504 6577354980 6786159900 7015845312 7125467895 7238570560 7308172200 7516977120 7600499088 7795383680 7917186550 8143391880 8221693725 8352196800 8550561474 8686284672 8769806640 9048213200 9396221400 9500623860 9744229600 9772070256 10022636160 10133998784 10179239850 10523767968 10857855840 10962258300 11400748632 11693075520 11875779825 12215087820 12528295200 12667498480 13029427008 13154709960 13572319800 14031690624 14250935790 14477141120 14616344400 15033954240 15200998176 15268859775 15834373100 16286783760 16443387450 16704393600 17101122948 17539613280 18096426400 18792442800 19001247720 19488459200 19544140512 20267997568 20358479700 21047535936 21376403685 21715711680 21924516600 22801497264 23386151040 23751559650 24430175640 25056590400 25334996960 26058854016 26309419920 27144639600 28501871580 29232688800 30067908480 30401996352 30537719550 31668746200 32573567520 32886774900 34202245896 35079226560 35627339475 36192852800 37584885600 38002495440 38976918400 39088281024 40716959400 42095071872 42752807370 43431423360 43849033200 45602994528 47503119300 48860351280 50113180800 50669993920 52618839840 54289279200 57003743160 58465377600 60803992704 61075439100 63337492400 65147135040 65773549800 68404491792 70158453120 71254678950 72385705600 75169771200 76004990880 78176562048 81433918800 85505614740 87698066400 91205989056 95006238600 97720702560 101339987840 105237679680 106882018425 108578558400 114007486320 116930755200 122150878200 126674984800 130294270080 131547099600 136808983584 142509357900 150339542400 152009981760 162867837600 171011229480 175396132800 182411978112 190012477200 195441405120 210475359360 213764036850 217157116800 228014972640 244301756400 253349969600 263094199200 273617967168 285018715800 304019963520 325735675200 342022458960 350792265600 380024954400 390882810240 427528073700 456029945280 488603512800 506699939200 526188398400 547235934336 570037431600 651471350400 684044917920 760049908800 855056147400 912059890560 977207025600 1052376796800 1140074863200 1368089835840 1520099817600 1710112294800 1954414051200 2280149726400 2736179671680 3420224589600 4560299452800 6840449179200 13680898358400
- Sum of all divisors σ(n): 61622543404800
- Sum of proper divisors (its aliquot sum) s(n): 47941645046400
- 13680898358400 is an abundant number, because the sum of its proper divisors (47941645046400) is greater than itself. Its abundance is 34260746688000
Bases of 13680898358400
- Binary: 110001110001010101010001011000111100100000002
- Hexadecimal: 0xC7155163C80
- Base-36: 4UKX1NHC0
Squares and roots of 13680898358400
- 13680898358400 squared (136808983584002) is 187166979892871814850560000
- 13680898358400 cubed (136808983584003) is 2560612427963075819650655045320704000000
-
The
square root of 13680898358400 is 3698769.8439346019 -
The
cube root of 13680898358400 is 23916.8991424139
Scales and comparisons
How big is 13680898358400?- 13,680,898,358,400 seconds is equal to 435,010 years, 13 weeks.
-
To count from 1 to 13,680,898,358,400 would take you about one million, eighty-seven thousand, five 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 13680898358400 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680898358400
- 13680898358400 backwards is 00485389808631
- 13680898358400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680898358400's digits is 63
- More coming soon!
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The information we have on file for 13680898358400 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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