138038284800
138,038,284,800 is an even composite number composed of five prime numbers multiplied together.
138038284800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138038284800:
29 × 32 × 52 × 13 × 92173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 92173)See below for interesting mathematical facts about the number 138038284800 from the Numbermatics database.
Names of 138038284800
- Cardinal: 138038284800 can be written as One hundred thirty-eight billion, thirty-eight million, two hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380382848 × 1011
Factors of 138038284800
Divisors of 138038284800
- Number of divisors d(n): 360
-
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 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 360 384 390 400 416 450 468 480 512 520 576 585 600 624 640 650 720 768 780 800 832 900 936 960 975 1040 1152 1170 1200 1248 1280 1300 1440 1536 1560 1600 1664 1800 1872 1920 1950 2080 2304 2340 2400 2496 2560 2600 2880 2925 3120 3200 3328 3600 3744 3840 3900 4160 4608 4680 4800 4992 5200 5760 5850 6240 6400 6656 7200 7488 7680 7800 8320 9360 9600 9984 10400 11520 11700 12480 12800 14400 14976 15600 16640 18720 19200 19968 20800 23040 23400 24960 28800 29952 31200 33280 37440 38400 41600 46800 49920 57600 59904 62400 74880 83200 92173 93600 99840 115200 124800 149760 166400 184346 187200 249600 276519 299520 368692 374400 460865 499200 553038 737384 748800 829557 921730 1106076 1198249 1382595 1474768 1497600 1659114 1843460 2212152 2304325 2396498 2765190 2949536 3318228 3594747 3686920 4147785 4424304 4608650 4792996 5530380 5899072 5991245 6636456 6912975 7189494 7373840 8295570 8848608 9217300 9585992 10784241 11060760 11798144 11982490 13272912 13825950 14378988 14747680 16591140 17697216 17973735 18434600 19171984 20738925 21568482 22121520 23596288 23964980 26545824 27651900 28757976 29495360 29956225 33182280 35394432 35947470 36869200 38343968 41477850 43136964 44243040 47192576 47929960 53091648 53921205 55303800 57515952 58990720 59912450 66364560 70788864 71894940 73738400 76687936 82955700 86273928 88486080 89868675 95859920 106183296 107842410 110607600 115031904 117981440 119824900 132729120 141577728 143789880 147476800 153375872 165911400 172547856 176972160 179737350 191719840 212366592 215684820 221215200 230063808 235962880 239649800 265458240 269606025 287579760 294953600 306751744 331822800 345095712 353944320 359474700 383439680 424733184 431369640 442430400 460127616 479299600 530916480 539212050 575159520 589907200 613503488 663645600 690191424 707888640 718949400 766879360 862739280 884860800 920255232 958599200 1061832960 1078424100 1150319040 1179814400 1327291200 1380382848 1437898800 1533758720 1725478560 1769721600 1840510464 1917198400 2123665920 2156848200 2300638080 2654582400 2760765696 2875797600 3067517440 3450957120 3539443200 3834396800 4313696400 4601276160 5309164800 5521531392 5751595200 6901914240 7668793600 8627392800 9202552320 10618329600 11503190400 13803828480 15337587200 17254785600 23006380800 27607656960 34509571200 46012761600 69019142400 138038284800
- Sum of all divisors σ(n): 532006759284
- Sum of proper divisors (its aliquot sum) s(n): 393968474484
- 138038284800 is an abundant number, because the sum of its proper divisors (393968474484) is greater than itself. Its abundance is 255930189684
Bases of 138038284800
- Binary: 100000001000111011100100010010000000002
- Hexadecimal: 0x2023B91200
- Base-36: 1REWFI80
Squares and roots of 138038284800
- 138038284800 squared (1380382848002) is 19054568070525911040000
- 138038284800 cubed (1380382848003) is 2630259894060242193918984192000000
-
The
square root of 138038284800 is 371535.0384553253 -
The
cube root of 138038284800 is 5168.1270884153
Scales and comparisons
How big is 138038284800?- 138,038,284,800 seconds is equal to 4,389 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 138,038,284,800 would take you about eight thousand, seven hundred seventy-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 138038284800 cubic inches would be around 430.7 feet tall.
Recreational maths with 138038284800
- 138038284800 backwards is 008482830831
- 138038284800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138038284800's digits is 45
- More coming soon!
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