13474734624000
13,474,734,624,000 is an even composite number composed of six prime numbers multiplied together.
13474734624000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13474734624000:
28 × 32 × 53 × 13 × 412 × 2141
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 41 × 41 × 2141)See below for interesting mathematical facts about the number 13474734624000 from the Numbermatics database.
Names of 13474734624000
- Cardinal: 13474734624000 can be written as Thirteen trillion, four hundred seventy-four billion, seven hundred thirty-four million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3474734624 × 1013
Factors of 13474734624000
Divisors of 13474734624000
- Number of divisors d(n): 1296
-
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 41 45 48 50 52 60 64 65 72 75 78 80 82 90 96 100 104 117 120 123 125 128 130 144 150 156 160 164 180 192 195 200 205 208 225 234 240 246 250 256 260 288 300 312 320 325 328 360 369 375 384 390 400 410 416 450 468 480 492 500 520 533 576 585 600 615 624 640 650 656 720 738 750 768 780 800 820 832 900 936 960 975 984 1000 1025 1040 1066 1125 1152 1170 1200 1230 1248 1280 1300 1312 1440 1476 1500 1560 1599 1600 1625 1640 1664 1681 1800 1845 1872 1920 1950 1968 2000 2050 2080 2132 2141 2250 2304 2340 2400 2460 2496 2600 2624 2665 2880 2925 2952 3000 3075 3120 3198 3200 3250 3280 3328 3362 3600 3690 3744 3840 3900 3936 4000 4100 4160 4264 4282 4500 4680 4797 4800 4875 4920 4992 5043 5125 5200 5248 5330 5760 5850 5904 6000 6150 6240 6396 6400 6423 6500 6560 6724 7200 7380 7488 7800 7872 7995 8000 8200 8320 8405 8528 8564 9000 9225 9360 9594 9600 9750 9840 9984 10086 10250 10400 10496 10660 10705 11520 11700 11808 12000 12300 12480 12792 12846 13000 13120 13325 13448 14400 14625 14760 14976 15129 15375 15600 15744 15990 16000 16400 16640 16810 17056 17128 18000 18450 18720 19188 19200 19269 19500 19680 20172 20500 20800 21320 21410 21853 23400 23616 23985 24000 24600 24960 25215 25584 25692 26000 26240 26650 26896 27833 28800 29250 29520 29952 30258 30750 31200 31488 31980 32000 32115 32800 33620 34112 34256 36000 36900 37440 38376 38538 39000 39360 39975 40344 41000 41600 42025 42640 42820 43706 46125 46800 47232 47970 48000 49200 49920 50430 51168 51384 52000 52480 53300 53525 53792 55666 57600 58500 59040 60516 61500 62400 63960 64230 65559 65600 66625 67240 68224 68512 72000 73800 74880 75645 76752 77076 78000 78720 79950 80688 82000 83200 83499 84050 85280 85640 87412 87781 92250 93600 94464 95940 96000 96345 98400 100860 102336 102768 104000 106600 107050 107584 109265 111332 117000 118080 119925 121032 123000 124800 126075 127920 128460 131118 131200 133250 134480 136448 137024 139165 144000 147600 149760 151290 153504 154152 156000 157440 159900 160575 161376 164000 166998 168100 170560 171280 174824 175562 184500 187200 191880 192690 196677 196800 199875 201720 204672 205536 208000 210125 213200 214100 215168 218530 222664 234000 236160 239850 242064 246000 249600 250497 252150 255840 256920 262236 262400 263343 266500 267625 268960 274048 278330 288000 295200 302580 307008 308304 312000 319800 321150 322752 327795 328000 333996 336200 341120 342560 349648 351124 369000 374400 378225 383760 385380 393354 393600 399750 403440 409344 411072 416000 417495 420250 426400 428200 430336 437060 438905 445328 468000 472320 479700 481725 484128 492000 500994 504300 511680 513840 524472 526686 533000 535250 537920 546325 548096 556660 590400 599625 605160 614016 616608 624000 630375 639600 642300 645504 655590 656000 667992 672400 682240 685120 695825 699296 702248 738000 748800 756450 767520 770760 786708 787200 790029 799500 802875 806880 822144 834990 840500 852800 856400 874120 877810 890656 936000 959400 963450 968256 983385 984000 1001988 1008600 1023360 1027680 1048944 1053372 1066000 1070500 1075840 1092650 1113320 1141153 1180800 1199250 1210320 1228032 1233216 1248000 1252485 1260750 1279200 1284600 1291008 1311180 1312000 1316715 1335984 1344800 1370240 1391650 1398592 1404496 1476000 1512900 1535040 1541520 1573416 1580058 1599000 1605750 1613760 1638975 1644288 1669980 1681000 1705600 1712800 1748240 1755620 1781312 1872000 1891125 1918800 1926900 1936512 1966770 1968000 2003976 2017200 2046720 2055360 2087475 2097888 2106744 2132000 2141000 2151680 2185300 2194525 2226640 2282306 2361600 2398500 2408625 2420640 2466432 2504970 2521500 2558400 2569200 2622360 2633430 2671968 2689600 2731625 2740480 2783300 2797184 2808992 2952000 3025800 3070080 3083040 3146832 3160116 3198000 3211500 3227520 3277950 3339960 3362000 3411200 3423459 3425600 3479125 3496480 3511240 3562624 3599021 3744000 3782250 3837600 3853800 3873024 3933540 3936000 3950145 4007952 4034400 4110720 4174950 4195776 4213488 4264000 4282000 4370600 4389050 4453280 4564612 4797000 4817250 4841280 4916925 4932864 5009940 5043000 5116800 5138400 5244720 5266860 5343936 5379200 5463250 5566600 5594368 5617984 5705765 5904000 6051600 6140160 6166080 6262425 6293664 6320232 6396000 6423000 6455040 6555900 6583575 6679920 6724000 6846918 6851200 6958250 6992960 7022480 7125248 7198042 7564500 7675200 7707600 7867080 7900290 8015904 8068800 8194875 8221440 8349900 8391552 8426976 8528000 8564000 8741200 8778100 8906560 9129224 9594000 9634500 9682560 9833850 10019880 10086000 10233600 10270377 10276800 10437375 10489440 10533720 10687872 10758400 10797063 10926500 10972625 11133200 11235968 11411530 11808000 12103200 12332160 12524850 12587328 12640464 12792000 12846000 13111800 13167150 13359840 13448000 13693836 13702400 13916500 13985920 14044960 14396084 15129000 15350400 15415200 15734160 15800580 16031808 16137600 16389750 16699800 16783104 16853952 17056000 17117295 17128000 17482400 17556200 17813120 17995105 18258448 19188000 19269000 19365120 19667700 19750725 20039760 20172000 20540754 20553600 20874750 20978880 21067440 21375744 21594126 21853000 21945250 22266400 22471936 22823060 24206400 24584625 24664320 25049700 25174656 25280928 25584000 25692000 26223600 26334300 26719680 26896000 27387672 27833000 27971840 28089920 28528825 28792168 30258000 30700800 30830400 31312125 31468320 31601160 32063616 32275200 32391189 32779500 32917875 33399600 33707904 34234590 34256000 34964800 35112400 35626240 35990210 36516896 38376000 38538000 39335400 39501450 40079520 40344000 41081508 41107200 41749500 41957760 42134880 43188252 43706000 43890500 44532800 45646120 46787273 48412800 49169250 50099400 50349312 50561856 51168000 51351885 51384000 52447200 52668600 53439360 53792000 53985315 54775344 55666000 56179840 57057650 57584336 60516000 61660800 62624250 62936640 63202320 64127232 64782378 65559000 65835750 66799200 67415808 68469180 68512000 69929600 70224800 71980420 73033792 76752000 77076000 78670800 79002900 80159040 80688000 82163016 83499000 83915520 84269760 85586475 86376504 87412000 87781000 89065600 89975525 91292240 93574546 96825600 98338500 98753625 100198800 101123712 102703770 102768000 104894400 105337200 106878720 107970630 109550688 111332000 112359680 114115300 115168672 121032000 123321600 125248500 125873280 126404640 129564756 131118000 131671500 133598400 136938360 139859200 140361819 140449600 142644125 143960840 146067584 153504000 154152000 157341600 158005800 160318080 161376000 161955945 164326032 166998000 168539520 171172950 172753008 174824000 175562000 178131200 179951050 182584480 187149092 196677000 197507250 200397600 202247424 205407540 205536000 209788800 210674400 215941260 219101376 222664000 228230600 230337344 233936365 242064000 250497000 251746560 252809280 256759425 259129512 262236000 263343000 267196800 269926575 273876720 280723638 280899200 285288250 287921680 292135168 308304000 314683200 316011600 320636160 323911890 328652064 333996000 337079040 342345900 345506016 349648000 351124000 359902100 365168960 374298184 393354000 395014500 400795200 410815080 419577600 421085457 421348800 427932375 431882520 438202752 445328000 449877625 456461200 460674688 467872730 484128000 500994000 505618560 513518850 518259024 524472000 526686000 534393600 539853150 547753440 561447276 561798400 570576500 575843360 616608000 629366400 632023200 647823780 657304128 667992000 684691800 691012032 699296000 701809095 702248000 719804200 730337920 748596368 786708000 790029000 801590400 809779725 821630160 842170914 842697600 855864750 863765040 876405504 890656000 899755250 912922400 921349376 935745460 1001988000 1011237120 1027037700 1036518048 1048944000 1053372000 1079706300 1095506880 1122894552 1141153000 1151686720 1169681825 1258732800 1264046400 1283797125 1295647560 1314608256 1335984000 1349632875 1369383600 1382024064 1403618190 1404496000 1439608400 1460675840 1497192736 1573416000 1580058000 1603180800 1619559450 1643260320 1684341828 1685395200 1711729500 1727530080 1799510500 1825844800 1871490920 2003976000 2054075400 2073036096 2097888000 2105427285 2106744000 2159412600 2191013760 2245789104 2282306000 2303373440 2339363650 2528092800 2567594250 2591295120 2629216512 2671968000 2699265750 2738767200 2764048128 2807236380 2808992000 2879216800 2994385472 3146832000 3160116000 3239118900 3286520640 3368683656 3423459000 3455060160 3509045475 3599021000 3651689600 3742981840 4007952000 4048898625 4108150800 4146072192 4210854570 4213488000 4318825200 4382027520 4491578208 4564612000 4606746880 4678727300 5056185600 5135188500 5182590240 5398531500 5477534400 5614472760 5758433600 5848409125 5988770944 6293664000 6320232000 6478237800 6573041280 6737367312 6846918000 6910120320 7018090950 7198042000 7303379200 7485963680 8015904000 8097797250 8216301600 8292144384 8421709140 8426976000 8637650400 8983156416 9129224000 9357454600 10270377000 10365180480 10527136425 10797063000 10955068800 11228945520 11516867200 11696818250 11977541888 12640464000 12956475600 13146082560 13474734624 13693836000 13820240640 14036181900 14396084000 14971927360 16195594500 16432603200 16843418280 17275300800 17545227375 17966312832 18258448000 18714909200 20540754000 20730360960 21054272850 21594126000 21910137600 22457891040 23033734400 23393636500 25280928000 25912951200 26949469248 27387672000 28072363800 28792168000 29943854720 32391189000 32865206400 33686836560 34550601600 35090454750 35932625664 36516896000 37429818400 41081508000 41460721920 42108545700 43188252000 44915782080 46787273000 51825902400 52635682125 53898938496 54775344000 56144727600 57584336000 59887709440 64782378000 65730412800 67373673120 69101203200 70180909500 74859636800 82163016000 84217091400 86376504000 89831564160 93574546000 103651804800 105271364250 107797876992 109550688000 112289455200 115168672000 129564756000 134747346240 140361819000 149719273600 164326032000 168434182800 172753008000 179663128320 187149092000 207303609600 210542728500 224578910400 259129512000 269494692480 280723638000 299438547200 328652064000 336868365600 345506016000 374298184000 421085457000 449157820800 518259024000 538989384960 561447276000 673736731200 748596368000 842170914000 898315641600 1036518048000 1122894552000 1347473462400 1497192736000 1684341828000 2245789104000 2694946924800 3368683656000 4491578208000 6737367312000 13474734624000
- Sum of all divisors σ(n): 53545333815792
- Sum of proper divisors (its aliquot sum) s(n): 40070599191792
- 13474734624000 is an abundant number, because the sum of its proper divisors (40070599191792) is greater than itself. Its abundance is 26595864567792
Bases of 13474734624000
- Binary: 110001000001010101001100010101001101000000002
- Hexadecimal: 0xC4154C54D00
- Base-36: 4RY7H35S0
Squares and roots of 13474734624000
- 13474734624000 squared (134747346240002) is 181568473187224421376000000
- 13474734624000 cubed (134747346240003) is 2446586992282708545173552922624000000000
-
The
square root of 13474734624000 is 3670794.8218335495 -
The
cube root of 13474734624000 is 23796.1523238751
Scales and comparisons
How big is 13474734624000?- 13,474,734,624,000 seconds is equal to 428,454 years, 45 weeks, 5 days, 16 hours.
-
To count from 1 to 13,474,734,624,000 would take you about one million, seventy-one thousand, one hundred thirty-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 13474734624000 cubic inches would be around 1983 feet tall.
Recreational maths with 13474734624000
- 13474734624000 backwards is 00042643747431
- 13474734624000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13474734624000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13474734624000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 13474734624000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13474734624000/
Chicago style:
Numbermatics. 2024. "Number 13474734624000 - Facts about the integer". https://numbermatics.com/n/13474734624000/
The information we have on file for 13474734624000 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!
Keywords: Divisors of 13474734624000, math, Factors of 13474734624000, curriculum, school, college, exams, university, Prime factorization of 13474734624000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred seventy-four billion, seven hundred thirty-four million, six hundred twenty-four thousand.