135216481504000
135,216,481,504,000 is an even composite number composed of seven prime numbers multiplied together.
135216481504000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135216481504000:
28 × 53 × 13 × 31 × 53 × 181 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 31 × 53 × 181 × 1093)See below for interesting mathematical facts about the number 135216481504000 from the Numbermatics database.
Names of 135216481504000
- Cardinal: 135216481504000 can be written as One hundred thirty-five trillion, two hundred sixteen billion, four hundred eighty-one million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.35216481504 × 1014
Factors of 135216481504000
Divisors of 135216481504000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 53 62 64 65 80 100 104 106 124 125 128 130 155 160 181 200 208 212 248 250 256 260 265 310 320 325 362 400 403 416 424 496 500 520 530 620 640 650 689 724 775 800 806 832 848 905 992 1000 1040 1060 1093 1240 1280 1300 1325 1378 1448 1550 1600 1612 1625 1643 1664 1696 1810 1984 2000 2015 2080 2120 2186 2353 2480 2600 2650 2756 2896 3100 3200 3224 3250 3286 3328 3392 3445 3620 3875 3968 4000 4030 4160 4240 4372 4525 4706 4960 5200 5300 5465 5512 5611 5792 6200 6400 6448 6500 6572 6625 6784 6890 7240 7750 7936 8000 8060 8215 8320 8480 8744 9050 9412 9593 9920 10075 10400 10600 10930 11024 11222 11584 11765 12400 12896 13000 13144 13250 13568 13780 14209 14480 15500 16000 16120 16430 16640 16960 17225 17488 18100 18824 19186 19840 20150 20800 21200 21359 21860 22048 22444 22625 23168 23530 24800 25792 26000 26288 26500 27325 27560 28055 28418 28960 31000 32000 32240 32860 33883 33920 34450 34976 36200 37648 38372 39680 40300 41075 41600 42400 42718 43720 44096 44888 45250 46336 47060 47965 49600 50375 51584 52000 52576 53000 54650 55120 56110 56836 57920 57929 58825 62000 64480 65720 67766 67840 68900 69952 71045 72400 72943 75296 76744 80600 82150 83200 84800 85436 86125 87440 88192 89776 90500 94120 95930 99200 100750 103168 104000 105152 106000 106795 109300 110240 112220 113672 115840 115858 117650 124000 124709 128960 131440 135532 136625 137800 139904 140275 142090 144800 145886 150592 153488 161200 164300 169415 169600 170872 172250 174880 176384 179552 181000 188240 191860 197833 198400 201500 205375 208000 210304 212000 213590 218600 220480 224440 227344 231680 231716 235300 239825 248000 249418 257920 262880 271064 273250 275600 279808 280550 284180 289600 289645 291772 294125 297383 301184 306976 322400 328600 338830 339200 341744 344500 349760 355225 359104 362000 364715 376480 383720 395666 403000 410750 416000 420608 424000 427180 437200 440479 440960 448880 454688 463432 470600 479650 496000 498836 515840 525760 533975 542128 546500 551200 561100 568360 579200 579290 583544 588250 594766 602368 613952 623545 644800 657200 677660 683488 689000 699520 701375 710450 718208 724000 729430 752960 753077 767440 791332 806000 821500 847075 848000 854360 874400 880958 881920 897760 909376 926864 941200 959300 989165 992000 997672 1051520 1067950 1084256 1093000 1102400 1122200 1136720 1158400 1158580 1167088 1176500 1189532 1199125 1227904 1247090 1289600 1314400 1355320 1366976 1378000 1399040 1402750 1420900 1436416 1448000 1448225 1458860 1486915 1505920 1506154 1534880 1582664 1612000 1643000 1694150 1696000 1708720 1748800 1761916 1776125 1795520 1795799 1818752 1823575 1853728 1882400 1918600 1978330 1995344 2103040 2135900 2168512 2186000 2202395 2204800 2244400 2273440 2317160 2334176 2353000 2379064 2398250 2455808 2494180 2571829 2579200 2628800 2669875 2710640 2733952 2756000 2805500 2841800 2896000 2896450 2917720 2973830 3011840 3012308 3069760 3117725 3165328 3224000 3286000 3388300 3417440 3497600 3523832 3552250 3591040 3591598 3637504 3647150 3707456 3764800 3765385 3837200 3865979 3956660 3990688 4235375 4271800 4337024 4372000 4404790 4409600 4488800 4546880 4634320 4668352 4706000 4758128 4796500 4945825 4988360 5143658 5257600 5339750 5421280 5467904 5512000 5611000 5683600 5792000 5792900 5835440 5947660 6024616 6132823 6139520 6235450 6330656 6448000 6572000 6776600 6834880 6995200 7047664 7104500 7182080 7183196 7241125 7294300 7414912 7434575 7529600 7530770 7674400 7731958 7913320 7981376 8470750 8543600 8674048 8744000 8809580 8977600 8978995 9093760 9117875 9268640 9336704 9412000 9516256 9593000 9891650 9976720 10287316 10485149 10515200 10679500 10842560 11011975 11024000 11222000 11367200 11585800 11670880 11895320 12049232 12265646 12279040 12470900 12661312 12859145 12896000 13144000 13553200 13669760 14095328 14209000 14366392 14482250 14588600 14829824 14869150 15059200 15061540 15348800 15463916 15588625 15826640 15962752 16941500 17087200 17488000 17619160 17955200 17957990 18187520 18235750 18537280 18673408 18824000 18826925 19032512 19186000 19329895 19783300 19953440 20574632 20970298 21359000 21685120 22023950 22048000 22444000 22734400 23171600 23341760 23345387 23790640 24098464 24531292 24729125 24941800 25322624 25718290 26288000 27106400 27339520 28190656 28418000 28732784 28964500 29177200 29738300 30123080 30664115 30697600 30927832 31177250 31653280 31925504 33883000 34174400 34976000 35238320 35910400 35915980 36471500 37074560 37172875 37648000 37653850 38065024 38372000 38659790 39566600 39906880 41149264 41940596 42718000 43370240 44047900 44888000 44894975 45468800 46343200 46683520 46690774 47581280 48196928 49062584 49458250 49883600 50645248 51436580 52425745 52576000 54212800 55059875 56381312 56836000 57465568 57929000 58354400 59476600 60246160 61328230 61395200 61855664 62354500 63306560 64295725 67766000 68348800 70476640 71831960 72943000 74149120 74345750 75296000 75307700 76130048 76744000 77319580 79133200 79726699 79813760 82298528 83881192 85436000 88095800 89776000 89789950 90937600 92686400 93367040 93381548 94134625 95162560 96393856 96649475 98125168 98916500 99767200 102873160 104851490 108425600 110119750 112762624 113672000 114931136 115858000 116708800 116726935 118953200 120492320 122656460 123711328 124709000 126613120 128591450 135532000 136306937 136697600 140953280 143663920 145886000 148691500 150615400 153320575 153488000 154639160 158266400 159453398 159627520 164597056 167762384 170872000 176191600 179552000 179579900 185372800 186763096 188269250 190325120 192787712 193298950 196250336 197833000 199534400 205746320 209702980 216851200 220239500 224474875 227344000 229862272 231716000 233417600 233453870 237906400 240984640 245312920 247422656 249418000 253226240 257182900 262128725 271064000 272613874 281906560 287327840 291772000 297383000 301230800 306641150 306976000 309278320 316532800 318906796 321478625 325039619 329194112 335524768 341744000 352383200 359159800 370745600 373526192 376538500 380650240 386597900 392500672 395666000 398633495 399068800 411492640 419405960 440479000 448949750 454688000 459724544 463432000 466835200 466907740 475812800 481969280 483247375 490625840 494845312 498836000 514365800 524257450 542128000 545227748 563813120 574655680 583544000 583634675 594766000 602461600 613282300 618556640 633065600 637813592 642957250 650079238 658388224 671049536 681534685 683488000 704766400 718319600 747052384 753077000 766602875 773195800 785001344 791332000 797266990 798137600 822985280 838811920 880958000 897899500 926864000 933815480 951625600 963938560 966494750 981251680 989690624 997672000 1028731600 1048514900 1084256000 1090455496 1149311360 1167088000 1167269350 1189532000 1204923200 1226564600 1237113280 1266131200 1275627184 1285914500 1300158476 1310643625 1342099072 1363069370 1409532800 1436639200 1494104768 1506154000 1533205750 1546391600 1570002688 1582664000 1594533980 1625198095 1645970560 1677623840 1761916000 1795799000 1853728000 1867630960 1903251200 1932989500 1962503360 1993167475 1995344000 2057463200 2097029800 2180910992 2298622720 2334176000 2334538700 2379064000 2409846400 2453129200 2474226560 2551254368 2571829000 2600316952 2621287250 2684198144 2726138740 2819065600 2873278400 2918173375 2988209536 3012308000 3066411500 3092783200 3165328000 3189067960 3250396190 3291941120 3355247680 3407673425 3523832000 3591598000 3735261920 3865979000 3925006720 3986334950 3990688000 4114926400 4194059600 4225515047 4361821984 4669077400 4758128000 4819692800 4906258400 4948453120 5102508736 5143658000 5200633904 5242574500 5452277480 5746556800 5836346750 5976419072 6024616000 6132823000 6185566400 6330656000 6378135920 6500792380 6710495360 6815346850 7047664000 7183196000 7470523840 7731958000 7850013440 7972669900 8125990475 8229852800 8388119200 8451030094 8723643968 9338154800 9516256000 9812516800 9965837375 10205017472 10287316000 10401267808 10485149000 10904554960 11493113600 11672693500 12049232000 12265646000 12371132800 12756271840 13001584760 13420990720 13630693700 14095328000 14366392000 14941047680 15463916000 15945339800 16251980950 16459705600 16776238400 16902060188 17038367125 17447287936 18676309600 19625033600 19931674750 20410034944 20574632000 20802535616 20970298000 21127575235 21809109920 23345387000 24098464000 24531292000 24742265600 25512543680 26003169520 27261387400 28732784000 29882095360 30927832000 31890679600 32503961900 33552476800 33804120376 34076734250 34894575872 37352619200 39250067200 39863349500 40629952375 41149264000 41605071232 41940596000 42255150470 43618219840 46690774000 49062584000 51025087360 52006339040 54522774800 57465568000 61855664000 63781359200 65007923800 67104953600 67608240752 68153468500 74705238400 79726699000 81259904750 82298528000 83210142464 83881192000 84510300940 87236439680 93381548000 98125168000 102050174720 104012678080 105637876175 109045549600 123711328000 127562718400 130015847600 135216481504 136306937000 149410476800 159453398000 162519809500 167762384000 169020601880 174472879360 186763096000 196250336000 208025356160 211275752350 218091099200 255125436800 260031695200 270432963008 272613874000 318906796000 325039619000 335524768000 338041203760 373526192000 416050712320 422551504700 436182198400 510250873600 520063390400 528189380875 540865926016 545227748000 637813592000 650079238000 676082407520 747052384000 845103009400 872364396800 1040126780800 1056378761750 1081731852032 1090455496000 1275627184000 1300158476000 1352164815040 1690206018800 2080253561600 2112757523500 2180910992000 2551254368000 2600316952000 2704329630080 3380412037600 4225515047000 4361821984000 5200633904000 5408659260160 6760824075200 8451030094000 10401267808000 13521648150400 16902060188000 27043296300800 33804120376000 67608240752000 135216481504000
- Sum of all divisors σ(n): 383977681790976
- Sum of proper divisors (its aliquot sum) s(n): 248761200286976
- 135216481504000 is an abundant number, because the sum of its proper divisors (248761200286976) is greater than itself. Its abundance is 113544718782976
Bases of 135216481504000
- Binary: 111101011111010100010100101100100001011000000002
- Hexadecimal: 0x7AFA8A590B00
- Base-36: 1BXHLDWG74
Squares and roots of 135216481504000
- 135216481504000 squared (1352164815040002) is 18283496870321574102016000000
- 135216481504000 cubed (1352164815040003) is 2472230116394279011097411873112064000000000
-
The
square root of 135216481504000 is 11628262.1876185781 -
The
cube root of 135216481504000 is 51326.6843612171
Scales and comparisons
How big is 135216481504000?- 135,216,481,504,000 seconds is equal to 4,299,465 years, 44 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,216,481,504,000 would take you about ten million, seven hundred forty-eight thousand, six hundred sixty-four 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 135216481504000 cubic inches would be around 4277.2 feet tall.
Recreational maths with 135216481504000
- 135216481504000 backwards is 000405184612531
- 135216481504000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135216481504000's digits is 40
- More coming soon!
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The information we have on file for 135216481504000 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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