135609331200
135,609,331,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 135609331200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
135609331200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135609331200:
29 × 3 × 52 × 7 × 613 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 613 × 823)See below for interesting mathematical facts about the number 135609331200 from the Numbermatics database.
Names of 135609331200
- Cardinal: 135609331200 can be written as One hundred thirty-five billion, six hundred nine million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.356093312 × 1011
Factors of 135609331200
Divisors of 135609331200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 613 640 672 700 768 800 823 840 896 960 1050 1120 1200 1226 1280 1344 1400 1536 1600 1646 1680 1792 1839 1920 2100 2240 2400 2452 2469 2560 2688 2800 3065 3200 3292 3360 3584 3678 3840 4115 4200 4291 4480 4800 4904 4938 5376 5600 5761 6130 6400 6584 6720 7356 7680 8230 8400 8582 8960 9195 9600 9808 9876 10752 11200 11522 12260 12345 12800 12873 13168 13440 14712 15325 16460 16800 17164 17283 17920 18390 19200 19616 19752 20575 21455 22400 23044 24520 24690 25746 26336 26880 28805 29424 30650 32920 33600 34328 34566 36780 38400 39232 39504 41150 42910 44800 45975 46088 49040 49380 51492 52672 53760 57610 58848 61300 61725 64365 65840 67200 68656 69132 73560 78464 79008 82300 85820 86415 89600 91950 92176 98080 98760 102984 105344 107275 115220 117696 122600 123450 128730 131680 134400 137312 138264 144025 147120 156928 158016 164600 171640 172830 183900 184352 196160 197520 205968 210688 214550 230440 235392 245200 246900 257460 263360 268800 274624 276528 288050 294240 313856 316032 321825 329200 343280 345660 367800 368704 392320 395040 411936 421376 429100 432075 460880 470784 490400 493800 504499 514920 526720 549248 553056 576100 588480 632064 643650 658400 686560 691320 735600 737408 784640 790080 823872 858200 864150 921760 941568 980800 987600 1008998 1029840 1053440 1098496 1106112 1152200 1176960 1264128 1287300 1316800 1373120 1382640 1471200 1474816 1513497 1569280 1580160 1647744 1716400 1728300 1843520 1961600 1975200 2017996 2059680 2106880 2196992 2212224 2304400 2353920 2522495 2574600 2633600 2746240 2765280 2942400 2949632 3026994 3160320 3295488 3432800 3456600 3531493 3687040 3923200 3950400 4035992 4119360 4424448 4608800 4707840 5044990 5149200 5267200 5492480 5530560 5884800 6053988 6320640 6590976 6865600 6913200 7062986 7374080 7567485 7846400 7900800 8071984 8238720 8848896 9217600 10089980 10298400 10534400 10594479 10984960 11061120 11769600 12107976 12612475 13731200 13826400 14125972 14748160 15134970 15801600 16143968 16477440 17657465 18435200 20179960 20596800 21188958 22122240 23539200 24215952 25224950 27462400 27652800 28251944 30269940 31603200 32287936 32954880 35314930 36870400 37837425 40359920 41193600 42377916 44244480 48431904 50449900 52972395 54924800 55305600 56503888 60539880 64575872 70629860 73740800 75674850 80719840 82387200 84755832 88287325 96863808 100899800 105944790 110611200 113007776 121079760 129151744 141259720 151349700 161439680 164774400 169511664 176574650 193727616 201799600 211889580 221222400 226015552 242159520 258303488 264861975 282519440 302699400 322879360 339023328 353149300 387455232 403599200 423779160 452031104 484319040 529723950 565038880 605398800 645758720 678046656 706298600 774910464 807198400 847558320 904062208 968638080 1059447900 1130077760 1210797600 1291517440 1356093312 1412597200 1614396800 1695116640 1808124416 1937276160 2118895800 2260155520 2421595200 2712186624 2825194400 3228793600 3390233280 3874552320 4237791600 4520311040 4843190400 5424373248 5650388800 6457587200 6780466560 8475583200 9040622080 9686380800 11300777600 13560933120 16951166400 19372761600 22601555200 27121866240 33902332800 45203110400 67804665600 135609331200
- Sum of all divisors σ(n): 513431947776
- Sum of proper divisors (its aliquot sum) s(n): 377822616576
- 135609331200 is an abundant number, because the sum of its proper divisors (377822616576) is greater than itself. Its abundance is 242213285376
Bases of 135609331200
- Binary: 11111100100101111001000101110000000002
- Hexadecimal: 0x1F92F22E00
- Base-36: 1QAQALMO
Squares and roots of 135609331200
- 135609331200 squared (1356093312002) is 18389890708511293440000
- 135609331200 cubed (1356093312003) is 2493840779822310651045347328000000
-
The
square root of 135609331200 is 368251.7226028957 -
The
cube root of 135609331200 is 5137.6343436669
Scales and comparisons
How big is 135609331200?- 135,609,331,200 seconds is equal to 4,311 years, 49 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 135,609,331,200 would take you about eight thousand, six hundred twenty-three 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 135609331200 cubic inches would be around 428.1 feet tall.
Recreational maths with 135609331200
- 135609331200 backwards is 002133906531
- The number of decimal digits it has is: 12
- The sum of 135609331200's digits is 33
- More coming soon!
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