13012335086400
13,012,335,086,400 is an even composite number composed of six prime numbers multiplied together.
13012335086400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 13012335086400:
26 × 32 × 52 × 132 × 157 × 34057
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 157 × 34057)See below for interesting mathematical facts about the number 13012335086400 from the Numbermatics database.
Names of 13012335086400
- Cardinal: 13012335086400 can be written as Thirteen trillion, twelve billion, three hundred thirty-five million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.30123350864 × 1013
Factors of 13012335086400
Divisors of 13012335086400
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 157 160 169 180 192 195 200 208 225 234 240 260 288 300 312 314 320 325 338 360 390 400 416 450 468 471 480 507 520 576 585 600 624 628 650 676 720 780 785 800 832 845 900 936 942 960 975 1014 1040 1170 1200 1248 1256 1300 1352 1413 1440 1521 1560 1570 1600 1690 1800 1872 1884 1950 2028 2041 2080 2340 2355 2400 2496 2512 2535 2600 2704 2826 2880 2925 3042 3120 3140 3380 3600 3744 3768 3900 3925 4056 4082 4160 4225 4680 4710 4800 5024 5070 5200 5408 5652 5850 6084 6123 6240 6280 6760 7065 7200 7488 7536 7605 7800 7850 8112 8164 8450 9360 9420 10048 10140 10205 10400 10816 11304 11700 11775 12168 12246 12480 12560 12675 13520 14130 14400 15072 15210 15600 15700 16224 16328 16900 18369 18720 18840 20280 20410 20800 22608 23400 23550 24336 24492 25120 25350 26533 27040 28260 30144 30420 30615 31200 31400 32448 32656 33800 34057 35325 36738 37440 37680 38025 40560 40820 45216 46800 47100 48672 48984 50240 50700 51025 53066 54080 56520 60840 61230 62400 62800 65312 67600 68114 70650 73476 75360 76050 79599 81120 81640 90432 91845 93600 94200 97344 97968 101400 102050 102171 106132 113040 121680 122460 125600 130624 132665 135200 136228 141300 146952 150720 152100 153075 159198 162240 163280 170285 183690 187200 188400 195936 202800 204100 204342 212264 226080 238797 243360 244920 251200 265330 270400 272456 282600 293904 304200 306150 306513 318396 326560 340570 367380 376800 391872 397995 405600 408200 408684 424528 442741 452160 459225 477594 486720 489840 510855 530660 544912 565200 587808 608400 612300 613026 636792 653120 663325 681140 734760 753600 795990 811200 816400 817368 849056 851425 885482 918450 955188 979680 1021710 1061320 1089824 1130400 1175616 1193985 1216800 1224600 1226052 1273584 1326650 1328223 1362280 1469520 1532565 1591980 1632800 1634736 1698112 1702850 1770964 1836900 1910376 1959360 1989975 2043420 2122640 2179648 2213705 2260800 2387970 2433600 2449200 2452104 2547168 2554275 2653300 2656446 2724560 2939040 3065130 3183960 3265600 3269472 3405700 3541928 3673800 3820752 3979950 3984669 4086840 4245280 4427410 4775940 4898400 4904208 5094336 5108550 5306600 5312892 5346949 5449120 5755633 5878080 5969925 6130260 6367920 6538944 6641115 6811400 7083856 7347600 7641504 7662825 7959900 7969338 8173680 8490560 8854820 9551880 9796800 9808416 10217100 10613200 10625784 10693898 10898240 11068525 11511266 11939850 12260520 12735840 13282230 13622800 14167712 14695200 15283008 15325650 15919800 15938676 16040847 16347360 17266899 17709640 19103760 19616832 19923345 20434200 21226400 21251568 21387796 22137050 23022532 23879700 24521040 25471680 26564460 26734745 27245600 28335424 28778165 29390400 30651300 31839600 31877352 32081694 32694720 33205575 34533798 35419280 38207520 39846690 40868400 42452800 42503136 42775592 44274100 46045064 47759400 48122541 49042080 51800697 53128920 53469490 54491200 57556330 61302600 63679200 63754704 64163388 66411150 69067596 69510337 70838560 76415040 79693380 80204235 81736800 85006272 85551184 86334495 88548200 92090128 95518800 96245082 98084160 99616725 103601394 106257840 106938980 115112660 122605200 127358400 127509408 128326776 132822300 133673725 138135192 139020674 141677120 143890825 159386760 160408470 163473600 171102368 172668990 177096400 184180256 191037600 192490164 199233450 207202788 208531011 212515680 213877960 230225320 240612705 245210400 255018816 256653552 259003485 265644600 267347450 276270384 278041348 287781650 318773520 320816940 342204736 345337980 347551685 354192800 368360512 382075200 384980328 398466900 401021175 414405576 417062022 425031360 427755920 431672475 460450640 481225410 490420800 513307104 518006970 531289200 534694900 552540768 556082696 575563300 625593033 637547040 641633880 690675960 695103370 708385600 769960656 796933800 802042350 828811152 834124044 855511840 863344950 903634381 920901280 962450820 1026614208 1036013940 1042655055 1062578400 1069389800 1105081536 1112165392 1151126600 1203063525 1251186066 1275094080 1283267760 1295017425 1381351920 1390206740 1539921312 1593867600 1604084700 1657622304 1668248088 1711023680 1726689900 1737758425 1807268762 1841802560 1924901640 2072027880 2085310110 2125156800 2138779600 2224330784 2302253200 2406127050 2502372132 2566535520 2590034850 2710903143 2762703840 2780413480 3079842624 3127965165 3187735200 3208169400 3315244608 3336496176 3453379800 3475516850 3614537524 3849803280 4144055760 4170620220 4277559200 4448661568 4518171905 4604506400 4812254100 5004744264 5133071040 5180069700 5213275275 5421806286 5525407680 5560826960 6255930330 6375470400 6416338800 6672992352 6906759600 6951033700 7229075048 7699606560 8132709429 8288111520 8341240440 8555118400 9036343810 9209012800 9624508200 10009488528 10360139400 10426550550 10843612572 11121653920 12511860660 12832677600 13345984704 13554515715 13813519200 13902067400 14458150096 15399213120 15639825825 16265418858 16576223040 16682480880 18072687620 19249016400 20018977056 20720278800 20853101100 21687225144 22243307840 22590859525 25023721320 25665355200 27109031430 27627038400 27804134800 28916300192 31279651650 32530837716 33364961760 36145375240 38498032800 40037954112 40663547145 41440557600 41706202200 43374450288 45181719050 50047442640 54218062860 55608269600 57832600384 62559303300 65061675432 66729923520 67772578575 72290750480 76996065600 81327094290 82881115200 83412404400 86748900576 90363438100 100094885280 108436125720 111216539200 125118606600 130123350864 135545157150 144581500960 162654188580 166824808800 173497801152 180726876200 200189770560 203317735725 216872251440 250237213200 260246701728 271090314300 289163001920 325308377160 333649617600 361453752400 406635471450 433744502880 500474426400 520493403456 542180628600 650616754320 722907504800 813270942900 867489005760 1000948852800 1084361257200 1301233508640 1445815009600 1626541885800 2168722514400 2602467017280 3253083771600 4337445028800 6506167543200 13012335086400
- Sum of all divisors σ(n): 50400643907172
- Sum of proper divisors (its aliquot sum) s(n): 37388308820772
- 13012335086400 is an abundant number, because the sum of its proper divisors (37388308820772) is greater than itself. Its abundance is 24375973734372
Bases of 13012335086400
- Binary: 101111010101101010111001110001001011010000002
- Hexadecimal: 0xBD5AB9C4B40
- Base-36: 4M1S8CB40
Squares and roots of 13012335086400
- 13012335086400 squared (130123350864002) is 169320864400756495464960000
- 13012335086400 cubed (130123350864003) is 2203259824701540456641401489772544000000
-
The
square root of 13012335086400 is 3607261.4385985389 -
The
cube root of 13012335086400 is 23520.7814279455
Scales and comparisons
How big is 13012335086400?- 13,012,335,086,400 seconds is equal to 413,752 years, 2 days, 4 hours.
-
To count from 1 to 13,012,335,086,400 would take you about one million, thirty-four thousand, three hundred eighty 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 13012335086400 cubic inches would be around 1960.1 feet tall.
Recreational maths with 13012335086400
- 13012335086400 backwards is 00468053321031
- 13012335086400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13012335086400's digits is 36
- More coming soon!
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