13968117664800
13,968,117,664,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13968117664800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
13968117664800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13968117664800:
25 × 3 × 52 × 13 × 31 × 73 × 181 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 31 × 73 × 181 × 1093)See below for interesting mathematical facts about the number 13968117664800 from the Numbermatics database.
Names of 13968117664800
- Cardinal: 13968117664800 can be written as Thirteen trillion, nine hundred sixty-eight billion, one hundred seventeen million, six hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39681176648 × 1013
Factors of 13968117664800
Divisors of 13968117664800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 65 73 75 78 80 93 96 100 104 120 124 130 146 150 155 156 160 181 186 195 200 208 219 240 248 260 292 300 310 312 325 362 365 372 390 400 403 416 438 465 480 496 520 543 584 600 620 624 650 724 730 744 775 780 800 806 876 905 930 949 975 992 1040 1086 1093 1095 1168 1200 1209 1240 1248 1300 1448 1460 1488 1550 1560 1612 1752 1810 1825 1860 1898 1950 2015 2080 2172 2186 2190 2263 2325 2336 2353 2400 2418 2480 2600 2715 2847 2896 2920 2976 3100 3120 3224 3279 3504 3620 3650 3720 3796 3900 4030 4344 4372 4380 4525 4526 4650 4706 4745 4836 4960 5200 5430 5465 5475 5611 5694 5792 5840 6045 6200 6240 6448 6558 6789 7008 7059 7240 7300 7440 7592 7800 8060 8688 8744 8760 9050 9052 9300 9412 9490 9672 10075 10400 10860 10930 10950 11222 11315 11388 11680 11765 12090 12400 12896 13116 13213 13575 13578 14118 14209 14235 14480 14600 14880 15184 15600 16120 16395 16833 17376 17488 17520 18100 18104 18600 18824 18980 19344 20150 21720 21860 21900 22444 22630 22776 23530 23725 24180 24800 26232 26426 27150 27156 27325 28055 28236 28418 28470 28960 29200 29419 30225 30368 31200 32240 32790 33666 33883 33945 34976 35040 35295 36200 36208 37200 37648 37960 38688 39639 40300 42627 43440 43720 43800 44888 45260 45552 47060 47450 48360 52464 52852 54300 54312 54650 56110 56472 56575 56836 56940 58400 58825 58838 60450 64480 65580 66065 67332 67766 67890 70590 71045 71175 72400 72416 72943 74400 75296 75920 79278 79789 80600 81975 84165 85254 86880 87440 87600 88257 89776 90520 91104 94120 94900 96720 101649 104928 105704 108600 108624 109300 112220 112944 113150 113672 113880 117650 117676 120900 131160 132130 134664 135532 135780 140275 141180 142090 142350 144800 145886 147095 151840 158556 159578 161200 163950 168330 169415 169725 170508 171769 174880 175200 176475 176514 179552 181040 188240 189800 193440 197833 198195 203298 211408 213135 217200 217248 218600 218829 224440 225888 226300 227344 227760 235300 235352 239367 241800 262320 264260 269328 271064 271560 280550 282360 284180 284700 291772 294190 317112 319156 322400 327900 330325 336660 338830 339450 341016 343538 352950 353028 355225 362080 364715 376480 379600 395666 396390 398945 406596 409603 420825 422816 426270 434400 437200 437658 440479 441285 448880 452600 454688 455520 470600 470704 478734 483600 508245 515307 524640 528520 538656 542128 543120 561100 564720 568360 569400 583544 588380 593499 634224 638312 655800 660650 673320 677660 678900 682032 687076 705900 706056 710450 729430 735475 759200 791332 792780 797890 813192 819206 841650 847075 852540 858845 874400 875316 880958 882570 897760 905200 941200 941408 957468 967200 989165 990975 1016490 1030614 1037257 1057040 1065675 1084256 1086240 1094145 1122200 1129440 1136720 1138800 1167088 1176760 1186998 1196835 1228809 1268448 1276624 1311600 1321300 1321437 1346640 1355320 1357800 1364064 1374152 1411800 1412112 1420900 1458860 1470950 1582664 1585560 1595780 1626384 1638412 1683300 1694150 1705080 1717690 1750632 1761916 1765140 1810400 1823575 1882400 1914936 1978330 1981950 1994725 2032980 2048015 2061228 2074514 2114080 2131350 2188290 2202395 2206425 2244400 2273440 2277600 2334176 2353520 2373996 2393670 2457618 2473459 2541225 2553248 2571829 2576535 2623200 2642600 2642874 2693280 2710640 2715600 2748304 2823600 2824224 2841800 2917720 2941900 2967495 3111771 3165328 3171120 3191560 3252768 3276824 3366600 3388300 3410160 3435380 3501264 3523832 3530280 3647150 3829872 3956660 3963900 3989450 4065960 4096030 4122456 4149028 4262700 4294225 4376580 4404790 4412850 4488800 4707040 4747992 4787340 4915236 4945825 4946918 5082450 5143658 5153070 5186285 5285200 5285748 5324839 5421280 5431200 5470725 5496608 5647200 5683600 5835440 5883800 5934990 5984175 6132823 6144045 6223542 6330656 6342240 6383120 6553648 6607185 6733200 6776600 6820320 6870760 7002528 7047664 7060560 7294300 7420377 7659744 7715487 7913320 7927800 7978900 8131920 8192060 8244912 8298056 8525400 8588450 8753160 8809580 8825700 9495984 9574680 9830472 9891650 9893836 10164900 10240075 10287316 10306140 10372570 10570400 10571496 10649678 10941450 11011975 11367200 11670880 11767600 11869980 11968350 12265646 12288090 12367295 12447084 12766240 12859145 12882675 13107296 13214370 13466400 13553200 13741520 14095328 14121120 14441809 14588600 14837475 14840754 15430974 15558855 15826640 15855600 15957800 15974517 16263840 16384120 16489824 16596112 17050800 17176900 17506320 17619160 17651400 18398469 18991968 19149360 19660944 19783300 19787672 20329800 20480150 20574632 20612280 20745140 21142992 21299356 21882900 22023950 23535200 23739960 23936700 24531292 24576180 24734590 24894168 25718290 25765350 25931425 26428740 26624195 27106400 27483040 28883618 29177200 29674950 29681508 30664115 30720225 30861948 31117710 31653280 31711200 31915600 31949034 32154967 32768240 33035925 33192224 34101600 34353800 35012640 35238320 35302800 36796938 37101885 38298720 38577435 39321888 39566600 39575344 40659600 40960300 41149264 41224560 41490280 42285984 42598712 43325427 43765800 44047900 47479920 47873400 49062584 49152360 49469180 49788336 51436580 51530700 51862850 52857480 53248390 57767236 58354400 59349900 59363016 61328230 61440450 61723896 61836475 62235420 63831200 63898068 64295725 64309934 65536480 66071850 68707600 70476640 70605600 72209045 73593876 74203770 77154870 77794275 79133200 79150688 79726699 79872585 81319200 81920600 82298528 82449120 82980560 85197424 86650854 87531600 88095800 91992345 94959840 95746800 96464901 98125168 98304720 98938360 99576672 102873160 103061400 103725700 105714960 106496780 115534472 118699800 118726032 122656460 122880900 123447792 123672950 124470840 127796136 128591450 128619868 132143700 133120975 137415200 144418090 147187752 148407540 153320575 154309740 155588550 158266400 159453398 159745170 160774835 163841200 165961120 170394848 173301708 175063200 176191600 183984690 185509425 187743517 191493600 192887175 192929802 196250336 196609440 197876720 205746320 206122800 207451400 211429920 212993560 216627135 231068944 237399600 237452064 239180097 245312920 245761800 246895584 247345900 248941680 255592272 257182900 257239736 264287400 266241950 288836180 294375504 296815080 306641150 308619480 311177100 318906796 319490340 321549670 327682400 346603416 352383200 361045225 367969380 371018850 375487034 385774350 385859604 395753440 398633495 399362925 411492640 412245600 414902800 425987120 433254270 447696079 459961725 462137888 474799200 478360194 482324505 490625840 491523600 494691800 497883360 511184544 514365800 514479472 528574800 532483900 563230551 577672360 588751008 593630160 613282300 617238960 622354200 637813592 638980680 643099340 693206832 722090450 735938760 742037700 750974068 771548700 771719208 797266990 798725850 803874175 829805600 851974240 866508540 895392158 919923450 938717585 956720388 964649010 981251680 983047200 989383600 1028731600 1028958944 1057149600 1064967800 1083135675 1126461102 1155344720 1187260320 1195900485 1226564600 1234477920 1244708400 1275627184 1277961360 1286198680 1343088237 1386413664 1444180900 1471877520 1484075400 1501948136 1543097400 1543438416 1594533980 1597451700 1607748350 1733017080 1790784316 1839846900 1877435170 1913440776 1929298020 1978767200 1993167475 2057463200 2129935600 2166271350 2238480395 2252922204 2310689440 2391800970 2411622525 2453129200 2489416800 2551254368 2555922720 2572397360 2686176474 2816152755 2888361800 2943755040 2968150800 3003896272 3086194800 3086876832 3189067960 3194903400 3215496700 3466034160 3581568632 3679693800 3754870340 3826881552 3858596040 3986334950 4259871200 4332542700 4476960790 4505844408 4693587925 4783601940 4823245050 4906258400 5144794720 5372352948 5632305510 5776723600 5820049027 5936301600 5979502425 6007792544 6172389600 6378135920 6389806800 6430993400 6715441185 6932068320 7163137264 7359387600 7509740680 7653763104 7717192080 7972669900 8665085400 8953921580 9011688816 9387175850 9567203880 9646490100 10744705896 11192401975 11264611020 11553447200 11640098054 11959004850 12756271840 12779613600 12861986800 13430882370 14080763775 14326274528 14718775200 15019481360 15434384160 15945339800 17330170800 17460147081 17907843160 18023377632 18774351700 19134407760 19292980200 21489411792 22384803950 22529222040 23280196108 23918009700 25723973600 26861764740 28161527550 29100245135 30038962720 31890679600 33577205925 34660341600 34920294162 35815686320 37548703400 38268815520 38585960400 42978823584 44769607900 45058444080 46560392216 47836019400 53723529480 56323055100 58200490270 63781359200 67154411850 69840588324 71631372640 75097406800 77171920800 87300735405 89539215800 90116888160 93120784432 95672038800 107447058960 112646110200 116400980540 134308823700 139681176648 145501225675 150194813600 174601470810 179078431600 186241568864 191344077600 214894117920 225292220400 232801961080 268617647400 279362353296 291002451350 349202941620 358156863200 436503677025 450584440800 465603922160 537235294800 558724706592 582004902700 698405883240 873007354050 931207844320 1074470589600 1164009805400 1396811766480 1746014708100 2328019610800 2793623532960 3492029416200 4656039221600 6984058832400 13968117664800
- Sum of all divisors σ(n): 51565671585792
- Sum of proper divisors (its aliquot sum) s(n): 37597553920992
- 13968117664800 is an abundant number, because the sum of its proper divisors (37597553920992) is greater than itself. Its abundance is 23629436256192
Bases of 13968117664800
- Binary: 110010110100001101001011000100001100001000002
- Hexadecimal: 0xCB434B10C20
- Base-36: 4Y8V4M0IO
Squares and roots of 13968117664800
- 13968117664800 squared (139681176648002) is 195108311097697805159040000
- 13968117664800 cubed (139681176648003) is 2725295846793046590854175197409792000000
-
The
square root of 13968117664800 is 3737394.5021632383 -
The
cube root of 13968117664800 is 24083.1132684955
Scales and comparisons
How big is 13968117664800?- 13,968,117,664,800 seconds is equal to 444,142 years, 48 weeks, 4 days, 12 hours, 40 minutes.
-
To count from 1 to 13,968,117,664,800 would take you about one million, one hundred ten thousand, three hundred fifty-seven 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 13968117664800 cubic inches would be around 2006.9 feet tall.
Recreational maths with 13968117664800
- 13968117664800 backwards is 00846671186931
- 13968117664800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13968117664800's digits is 60
- More coming soon!
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The information we have on file for 13968117664800 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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