135838248000
135,838,248,000 is an even composite number composed of seven prime numbers multiplied together.
135838248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 135838248000:
26 × 3 × 53 × 7 × 13 × 37 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 37 × 41 × 41)See below for interesting mathematical facts about the number 135838248000 from the Numbermatics database.
Names of 135838248000
- Cardinal: 135838248000 can be written as One hundred thirty-five billion, eight hundred thirty-eight million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.35838248 × 1011
Factors of 135838248000
Divisors of 135838248000
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 37 39 40 41 42 48 50 52 56 60 64 65 70 74 75 78 80 82 84 91 96 100 104 105 111 112 120 123 125 130 140 148 150 156 160 164 168 175 182 185 192 195 200 205 208 210 222 224 240 246 250 259 260 273 280 287 296 300 312 320 325 328 336 350 364 370 375 390 400 410 416 420 444 448 455 480 481 492 500 518 520 525 533 546 555 560 574 592 600 615 624 650 656 672 700 728 740 750 777 780 800 820 832 840 861 875 888 910 925 960 962 975 984 1000 1025 1036 1040 1050 1066 1092 1110 1120 1148 1184 1200 1230 1248 1295 1300 1312 1344 1365 1400 1435 1443 1456 1480 1500 1517 1554 1560 1599 1600 1625 1640 1680 1681 1722 1750 1776 1820 1850 1924 1950 1968 2000 2050 2072 2080 2100 2132 2184 2220 2240 2275 2296 2368 2400 2405 2460 2496 2590 2600 2624 2625 2665 2730 2775 2800 2870 2886 2912 2960 3000 3034 3075 3108 3120 3198 3250 3280 3360 3362 3367 3444 3500 3552 3640 3700 3731 3848 3885 3900 3936 4000 4100 4144 4160 4200 4264 4305 4368 4440 4550 4551 4592 4625 4800 4810 4875 4920 5043 5125 5180 5200 5250 5330 5460 5550 5600 5740 5772 5824 5920 6000 6068 6150 6216 6240 6396 6475 6500 6560 6720 6724 6734 6825 6888 7000 7104 7175 7215 7280 7400 7462 7585 7696 7770 7800 7872 7995 8000 8200 8288 8400 8405 8528 8610 8736 8880 9100 9102 9184 9250 9620 9750 9840 10086 10101 10250 10360 10400 10500 10619 10660 10920 11100 11193 11200 11375 11480 11544 11767 11840 12000 12025 12136 12300 12432 12480 12792 12950 13000 13120 13325 13448 13468 13650 13776 13875 14000 14350 14430 14560 14800 14924 15170 15375 15392 15540 15600 15990 16400 16576 16800 16810 16835 17056 17220 17472 17760 18200 18204 18368 18500 18655 19240 19425 19500 19680 19721 20172 20202 20500 20720 20800 21000 21238 21320 21525 21840 21853 22200 22386 22750 22755 22960 23088 23534 24000 24050 24272 24600 24864 25215 25584 25900 26000 26650 26896 26936 27300 27552 27750 28000 28700 28860 29120 29600 29848 30340 30750 30784 31080 31200 31857 31980 32375 32800 33600 33620 33670 34112 34125 34440 35301 35520 35875 36075 36400 36408 37000 37310 37925 38480 38850 39000 39360 39442 39975 40344 40404 41000 41440 42000 42025 42476 42640 43050 43680 43706 44400 44772 45500 45510 45920 46176 47068 48100 48544 49200 49728 50430 50505 51168 51800 52000 53095 53300 53792 53872 54600 55104 55500 55965 56000 57400 57720 58835 59163 59200 59696 60125 60680 61500 62160 62197 62400 63714 63960 64750 65559 65600 66625 67240 67340 68250 68880 70602 71750 72150 72800 72816 74000 74620 75850 76960 77700 78000 78884 79950 80688 80808 82000 82880 84000 84050 84175 84952 85280 86100 87360 87412 88800 89544 91000 91020 91840 92352 93275 94136 96200 97088 97125 98400 98605 100860 101010 102336 103600 104000 106190 106600 107584 107625 107744 109200 109265 111000 111930 113775 114800 115440 117670 118326 119392 120250 121360 123000 124320 124394 126075 127428 127920 129500 131118 133250 134480 134680 136500 137760 138047 141204 143500 144300 145600 145632 148000 149240 151700 152971 153920 155400 156000 157768 159285 159900 161376 161616 164000 168000 168100 168350 169904 170560 172200 174824 176505 177600 179088 180375 182000 182040 186550 186591 188272 189625 192400 194250 196800 197210 199875 201720 202020 207200 210125 212380 213200 215250 215488 218400 218530 222000 223860 227550 229600 230880 235340 236652 238784 240500 242720 246000 248640 248788 252150 252525 254856 255840 259000 262236 265475 266500 268960 269360 273000 275520 276094 279825 282408 287000 288600 291264 294175 295815 296000 298480 303400 305942 310800 310985 312000 315536 318570 319800 322752 323232 327795 328000 336200 336700 339808 344400 349648 353010 358176 360750 364000 364080 373100 373182 376544 379250 384800 388500 394420 399750 403440 404040 414141 414400 420250 420875 424760 426400 430500 435379 436800 437060 444000 447720 455100 458913 459200 461760 466375 470680 473304 481000 485440 492000 493025 497576 504300 505050 509712 511680 518000 524472 530950 533000 537920 538720 546000 546325 552188 559650 564816 568875 574000 577200 588350 591630 596960 606800 611884 621600 621970 630375 631072 637140 639600 646464 655590 672400 673400 679616 688800 690235 699296 706020 716352 721500 728000 728160 746200 746364 753088 758500 764855 769600 777000 788840 796425 799500 806880 808080 808561 828282 840500 841750 849520 852800 861000 870758 874120 882525 888000 895440 910200 917826 932750 932955 941360 946608 962000 984000 986050 995152 1008600 1010100 1019424 1036000 1048944 1061900 1066000 1077440 1092000 1092650 1104376 1119300 1129632 1137750 1148000 1154400 1176700 1183260 1193920 1213600 1223768 1243200 1243940 1260750 1262144 1262625 1274280 1279200 1306137 1311180 1327375 1344800 1346800 1377600 1380470 1398592 1399125 1412040 1443000 1456320 1470875 1479075 1492400 1492728 1517000 1529710 1554000 1554925 1577680 1592850 1599000 1613760 1616160 1617122 1638975 1656564 1681000 1683500 1699040 1722000 1741516 1748240 1765050 1790880 1820400 1835652 1865500 1865910 1882720 1893216 1924000 1972100 1990304 2017200 2020200 2038848 2070705 2072000 2097888 2123800 2132000 2176895 2184000 2185300 2208752 2238600 2259264 2275500 2294565 2296000 2308800 2353400 2366520 2425683 2427200 2447536 2465125 2487880 2521500 2525250 2548560 2558400 2612274 2622360 2654750 2689600 2693600 2731625 2760940 2798250 2824080 2886000 2941750 2958150 2984800 2985456 3034000 3059420 3108000 3109850 3155360 3185700 3198000 3232320 3234244 3277950 3313128 3362000 3367000 3398080 3444000 3451175 3483032 3496480 3530100 3581760 3640800 3671304 3731000 3731820 3765440 3786432 3824275 3848000 3944200 3980608 3982125 4034400 4040400 4042805 4141410 4195776 4247600 4264000 4353790 4370600 4412625 4417504 4477200 4551000 4589130 4664775 4706800 4733040 4851366 4895072 4930250 4975760 5043000 5050500 5097120 5224548 5244720 5309500 5387200 5463250 5521880 5596500 5648160 5659927 5772000 5883500 5916300 5969600 5970912 6068000 6118840 6216000 6219700 6310720 6371400 6396000 6468488 6530685 6555900 6626256 6724000 6734000 6888000 6902350 6966064 6992960 7060200 7281600 7342608 7395375 7462000 7463640 7648550 7774625 7888400 7964250 8068800 8080800 8085610 8194875 8282820 8495200 8707580 8741200 8825250 8835008 8954400 9102000 9178260 9329550 9413600 9466080 9702732 9790144 9860500 9951520 10086000 10101000 10194240 10353525 10449096 10489440 10619000 10884475 10926500 11043760 11193000 11296320 11319854 11472825 11544000 11767000 11832600 11941824 12128415 12136000 12237680 12439400 12742800 12792000 12936976 13061370 13111800 13252512 13448000 13468000 13804700 13932128 14120400 14685216 14790750 14924000 14927280 15297100 15549250 15776800 15928500 16161600 16171220 16389750 16565640 16979781 16990400 17255875 17415160 17482400 17650500 17908800 18204000 18356520 18659100 18827200 18932160 19121375 19405464 19721000 19903040 20172000 20202000 20214025 20707050 20898192 20978880 21238000 21768950 21853000 22087520 22386000 22639708 22945650 23323875 23534000 23665200 24256830 24475360 24878800 25485600 25873952 26122740 26223600 26505024 26936000 27609400 27864256 28240800 28299635 29370432 29581500 29848000 29854560 30594200 31098500 31553600 31857000 32342440 32653425 32779500 33131280 33959562 34511750 34830320 34964800 35301000 36408000 36713040 37318200 38242750 38810928 39442000 40344000 40404000 40428050 41414100 41796384 42476000 43537900 43706000 44175040 44772000 45279416 45891300 46647750 47068000 47330400 48513660 48950720 49757600 50971200 51747904 51767625 52245480 52447200 54422375 55218800 56481600 56599270 57364125 59163000 59709120 60642075 61188400 62197000 63714000 64684880 65306850 65559000 66262560 67919124 69023500 69660640 70602000 73426080 74636400 76485500 77621856 78884000 80808000 80856100 82828200 83592768 84898905 84952000 87075800 87412000 89544000 90558832 91782600 93295500 94136000 94660800 97027320 99515200 101070125 103535250 104490960 104894400 108844750 110437600 113198540 114728250 118326000 121284150 122376800 124394000 127428000 129369760 130613700 131118000 132525120 135838248 138047000 139321280 141204000 141498175 146852160 149272800 152971000 155243712 157768000 161712200 163267125 165656400 169797810 174151600 174824000 181117664 183565200 186591000 194054640 202140250 207070500 208981920 217689500 220875200 226397080 229456500 236652000 242568300 244753600 248788000 254856000 258739520 261227400 262236000 271676496 276094000 282408000 282996350 298545600 303210375 305942000 323424400 326534250 331312800 339595620 348303200 362235328 367130400 373182000 388109280 404280500 414141000 417963840 424494525 435379000 452794160 458913000 473304000 485136600 497576000 522454800 524472000 543352992 552188000 565992700 606420750 611884000 646848800 653068500 662625600 679191240 696606400 707490875 734260800 746364000 776218560 808561000 828282000 848989050 870758000 905588320 917826000 970273200 1044909600 1086705984 1104376000 1131985400 1212841500 1223768000 1293697600 1306137000 1358382480 1414981750 1492728000 1617122000 1656564000 1697978100 1741516000 1811176640 1835652000 1940546400 2089819200 2122472625 2263970800 2425683000 2612274000 2716764960 2829963500 3234244000 3313128000 3395956200 3483032000 3671304000 3881092800 4244945250 4527941600 4851366000 5224548000 5433529920 5659927000 6468488000 6791912400 8489890500 9055883200 9702732000 10449096000 11319854000 13583824800 16979781000 19405464000 22639708000 27167649600 33959562000 45279416000 67919124000 135838248000
- Sum of all divisors σ(n): 581132557824
- Sum of proper divisors (its aliquot sum) s(n): 445294309824
- 135838248000 is an abundant number, because the sum of its proper divisors (445294309824) is greater than itself. Its abundance is 309456061824
Bases of 135838248000
- Binary: 11111101000001001011100101100010000002
- Hexadecimal: 0x1FA0972C40
- Base-36: 1QEIL2YO
Squares and roots of 135838248000
- 135838248000 squared (1358382480002) is 18452029619709504000000
- 135838248000 cubed (1358382480003) is 2506491375585445292308992000000000
-
The
square root of 135838248000 is 368562.4071985639 -
The
cube root of 135838248000 is 5140.5235982929
Scales and comparisons
How big is 135838248000?- 135,838,248,000 seconds is equal to 4,319 years, 12 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 135,838,248,000 would take you about eight thousand, six hundred thirty-eight 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 135838248000 cubic inches would be around 428.4 feet tall.
Recreational maths with 135838248000
- 135838248000 backwards is 000842838531
- 135838248000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135838248000's digits is 42
- More coming soon!
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The information we have on file for 135838248000 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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