135505344000
135,505,344,000 is an even composite number composed of five prime numbers multiplied together.
135505344000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135505344000:
29 × 3 × 53 × 13 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 233 × 233)See below for interesting mathematical facts about the number 135505344000 from the Numbermatics database.
Names of 135505344000
- Cardinal: 135505344000 can be written as One hundred thirty-five billion, five hundred five million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.35505344 × 1011
Factors of 135505344000
Divisors of 135505344000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 233 240 250 256 260 300 312 320 325 375 384 390 400 416 466 480 500 512 520 600 624 640 650 699 750 768 780 800 832 932 960 975 1000 1040 1165 1200 1248 1280 1300 1398 1500 1536 1560 1600 1625 1664 1864 1920 1950 2000 2080 2330 2400 2496 2560 2600 2796 3000 3029 3120 3200 3250 3328 3495 3728 3840 3900 4000 4160 4660 4800 4875 4992 5200 5592 5825 6000 6058 6240 6400 6500 6656 6990 7456 7680 7800 8000 8320 9087 9320 9600 9750 9984 10400 11184 11650 12000 12116 12480 12800 13000 13980 14912 15145 15600 16000 16640 17475 18174 18640 19200 19500 19968 20800 22368 23300 24000 24232 24960 26000 27960 29125 29824 30290 31200 32000 33280 34950 36348 37280 38400 39000 41600 44736 45435 46600 48000 48464 49920 52000 54289 55920 58250 59648 60580 62400 64000 69900 72696 74560 75725 78000 83200 87375 89472 90870 93200 96000 96928 99840 104000 108578 111840 116500 119296 121160 124800 139800 145392 149120 151450 156000 162867 166400 174750 178944 181740 186400 192000 193856 208000 217156 223680 227175 233000 242320 249600 271445 279600 290784 298240 302900 312000 325734 349500 357888 363480 372800 378625 387712 416000 434312 447360 454350 466000 484640 499200 542890 559200 581568 596480 605800 624000 651468 699000 705757 726960 745600 757250 775424 814335 832000 868624 894720 908700 932000 969280 1085780 1118400 1135875 1163136 1211600 1248000 1302936 1357225 1398000 1411514 1453920 1491200 1514500 1550848 1628670 1737248 1789440 1817400 1864000 1938560 2117271 2171560 2236800 2271750 2326272 2423200 2496000 2605872 2714450 2796000 2823028 2907840 2982400 3029000 3257340 3474496 3528785 3634800 3728000 3877120 4071675 4234542 4343120 4473600 4543500 4652544 4846400 5211744 5428900 5592000 5646056 5815680 6058000 6514680 6786125 6948992 7057570 7269600 7456000 7754240 8143350 8469084 8686240 8947200 9087000 9692800 10423488 10586355 10857800 11184000 11292112 11631360 12116000 13029360 13572250 13897984 14115140 14539200 14912000 16286700 16938168 17372480 17643925 18174000 19385600 20358375 20846976 21172710 21715600 22368000 22584224 23262720 24232000 26058720 27144500 27795968 28230280 29078400 32573400 33876336 34744960 35287850 36348000 38771200 40716750 41693952 42345420 43431200 44736000 45168448 48464000 52117440 52931775 54289000 56460560 58156800 65146800 67752672 69489920 70575700 72696000 81433500 83387904 84690840 86862400 88219625 90336896 96928000 104234880 105863550 108578000 112921120 116313600 130293600 135505344 138979840 141151400 145392000 162867000 169381680 173724800 176439250 180673792 193856000 208469760 211727100 217156000 225842240 260587200 264658875 271010688 282302800 290784000 325734000 338763360 347449600 352878500 361347584 416939520 423454200 434312000 451684480 521174400 529317750 542021376 564605600 581568000 651468000 677526720 694899200 705757000 846908400 868624000 903368960 1042348800 1058635500 1084042752 1129211200 1302936000 1355053440 1411514000 1693816800 1737248000 1806737920 2084697600 2117271000 2258422400 2605872000 2710106880 2823028000 3387633600 3474496000 4234542000 4516844800 5211744000 5420213760 5646056000 6775267200 8469084000 9033689600 10423488000 11292112000 13550534400 16938168000 22584224000 27101068800 33876336000 45168448000 67752672000 135505344000
- Sum of all divisors σ(n): 487268125344
- Sum of proper divisors (its aliquot sum) s(n): 351762781344
- 135505344000 is an abundant number, because the sum of its proper divisors (351762781344) is greater than itself. Its abundance is 216257437344
Bases of 135505344000
- Binary: 11111100011001011111101110110000000002
- Hexadecimal: 0x1F8CBF7600
- Base-36: 1Q90DSLC
Squares and roots of 135505344000
- 135505344000 squared (1355053440002) is 18361698252558336000000
- 135505344000 cubed (1355053440003) is 2488108238137116199747584000000000
-
The
square root of 135505344000 is 368110.5051475711 -
The
cube root of 135505344000 is 5136.3208037113
Scales and comparisons
How big is 135505344000?- 135,505,344,000 seconds is equal to 4,308 years, 33 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 135,505,344,000 would take you about eight thousand, six hundred seventeen 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 135505344000 cubic inches would be around 428 feet tall.
Recreational maths with 135505344000
- 135505344000 backwards is 000443505531
- 135505344000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135505344000's digits is 30
- More coming soon!
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