138295296000
138,295,296,000 is an even composite number composed of five prime numbers multiplied together.
138295296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138295296000:
214 × 33 × 53 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 61)See below for interesting mathematical facts about the number 138295296000 from the Numbermatics database.
Names of 138295296000
- Cardinal: 138295296000 can be written as One hundred thirty-eight billion, two hundred ninety-five million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38295296 × 1011
Factors of 138295296000
Divisors of 138295296000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 61 64 72 75 80 82 90 96 100 108 120 122 123 125 128 135 144 150 160 164 180 183 192 200 205 216 225 240 244 246 250 256 270 288 300 305 320 328 360 366 369 375 384 400 410 432 450 480 488 492 500 512 540 549 576 600 610 615 640 656 675 720 732 738 750 768 800 820 864 900 915 960 976 984 1000 1024 1025 1080 1098 1107 1125 1152 1200 1220 1230 1280 1312 1350 1440 1464 1476 1500 1525 1536 1600 1640 1647 1728 1800 1830 1845 1920 1952 1968 2000 2048 2050 2160 2196 2214 2250 2304 2400 2440 2460 2501 2560 2624 2700 2745 2880 2928 2952 3000 3050 3072 3075 3200 3280 3294 3375 3456 3600 3660 3690 3840 3904 3936 4000 4096 4100 4320 4392 4428 4500 4575 4608 4800 4880 4920 5002 5120 5125 5248 5400 5490 5535 5760 5856 5904 6000 6100 6144 6150 6400 6560 6588 6750 6912 7200 7320 7380 7503 7625 7680 7808 7872 8000 8192 8200 8235 8640 8784 8856 9000 9150 9216 9225 9600 9760 9840 10004 10240 10250 10496 10800 10980 11070 11520 11712 11808 12000 12200 12288 12300 12505 12800 13120 13176 13500 13725 13824 14400 14640 14760 15006 15250 15360 15375 15616 15744 16000 16384 16400 16470 17280 17568 17712 18000 18300 18432 18450 19200 19520 19680 20008 20480 20500 20992 21600 21960 22140 22509 22875 23040 23424 23616 24000 24400 24576 24600 25010 25600 26240 26352 27000 27450 27648 27675 28800 29280 29520 30012 30500 30720 30750 31232 31488 32000 32800 32940 34560 35136 35424 36000 36600 36864 36900 37515 38400 39040 39360 40016 40960 41000 41175 41984 43200 43920 44280 45018 45750 46080 46125 46848 47232 48000 48800 49152 49200 50020 51200 52480 52704 54000 54900 55296 55350 57600 58560 59040 60024 61000 61440 61500 62464 62525 62976 64000 65600 65880 67527 68625 69120 70272 70848 72000 73200 73728 73800 75030 76800 78080 78720 80032 81920 82000 82350 83968 86400 87840 88560 90036 91500 92160 92250 93696 94464 96000 97600 98400 100040 102400 104960 105408 108000 109800 110592 110700 112545 115200 117120 118080 120048 122000 122880 123000 124928 125050 125952 128000 131200 131760 135054 137250 138240 138375 140544 141696 144000 146400 147456 147600 150060 153600 156160 157440 160064 164000 164700 167936 172800 175680 177120 180072 183000 184320 184500 187392 187575 188928 192000 195200 196800 200080 204800 205875 209920 210816 216000 219600 221184 221400 225090 230400 234240 236160 240096 244000 245760 246000 249856 250100 251904 256000 262400 263520 270108 274500 276480 276750 281088 283392 288000 292800 295200 300120 307200 312320 312625 314880 320128 328000 329400 335872 337635 345600 351360 354240 360144 366000 368640 369000 374784 375150 377856 384000 390400 393600 400160 409600 411750 419840 421632 432000 439200 442368 442800 450180 460800 468480 472320 480192 488000 492000 499712 500200 503808 512000 524800 527040 540216 549000 552960 553500 562176 562725 566784 576000 585600 590400 600240 614400 624640 625250 629760 640256 656000 658800 671744 675270 691200 702720 708480 720288 732000 737280 738000 749568 750300 755712 768000 780800 787200 800320 823500 839680 843264 864000 878400 885600 900360 921600 936960 937875 944640 960384 976000 984000 999424 1000400 1007616 1024000 1049600 1054080 1080432 1098000 1105920 1107000 1124352 1125450 1133568 1152000 1171200 1180800 1200480 1228800 1249280 1250500 1259520 1280512 1312000 1317600 1350540 1382400 1405440 1416960 1440576 1464000 1476000 1499136 1500600 1511424 1536000 1561600 1574400 1600640 1647000 1679360 1686528 1688175 1728000 1756800 1771200 1800720 1843200 1873920 1875750 1889280 1920768 1952000 1968000 2000800 2015232 2048000 2099200 2108160 2160864 2196000 2211840 2214000 2248704 2250900 2267136 2304000 2342400 2361600 2400960 2498560 2501000 2519040 2561024 2624000 2635200 2701080 2764800 2810880 2813625 2833920 2881152 2928000 2952000 2998272 3001200 3022848 3072000 3123200 3148800 3201280 3294000 3358720 3373056 3376350 3456000 3513600 3542400 3601440 3686400 3747840 3751500 3778560 3841536 3904000 3936000 4001600 4198400 4216320 4321728 4392000 4428000 4497408 4501800 4534272 4608000 4684800 4723200 4801920 4997120 5002000 5038080 5122048 5248000 5270400 5402160 5529600 5621760 5627250 5667840 5762304 5856000 5904000 6002400 6045696 6144000 6246400 6297600 6402560 6588000 6746112 6752700 6912000 7027200 7084800 7202880 7495680 7503000 7557120 7683072 7808000 7872000 8003200 8396800 8432640 8440875 8643456 8784000 8856000 8994816 9003600 9068544 9216000 9369600 9446400 9603840 10004000 10076160 10244096 10496000 10540800 10804320 11059200 11243520 11254500 11335680 11524608 11712000 11808000 12004800 12492800 12595200 12805120 13176000 13492224 13505400 13824000 14054400 14169600 14405760 14991360 15006000 15114240 15366144 15616000 15744000 16006400 16793600 16865280 16881750 17286912 17568000 17712000 18007200 18137088 18432000 18739200 18892800 19207680 20008000 20488192 20992000 21081600 21608640 22487040 22509000 22671360 23049216 23424000 23616000 24009600 24985600 25190400 25610240 26352000 26984448 27010800 27648000 28108800 28339200 28811520 30012000 30228480 30732288 31232000 31488000 32012800 33730560 33763500 34573824 35136000 35424000 36014400 37478400 37785600 38415360 40016000 40976384 41984000 42163200 43217280 44974080 45018000 45342720 46098432 46848000 47232000 48019200 50380800 51220480 52704000 54021600 55296000 56217600 56678400 57623040 60024000 61464576 62464000 62976000 64025600 67461120 67527000 69147648 70272000 70848000 72028800 74956800 75571200 76830720 80032000 83968000 84326400 86434560 90036000 90685440 92196864 93696000 94464000 96038400 102440960 105408000 108043200 112435200 113356800 115246080 120048000 122929152 124928000 125952000 128051200 134922240 135054000 138295296 140544000 141696000 144057600 151142400 153661440 160064000 168652800 172869120 180072000 184393728 187392000 188928000 192076800 204881920 210816000 216086400 224870400 226713600 230492160 240096000 251904000 256102400 270108000 276590592 281088000 283392000 288115200 307322880 320128000 337305600 345738240 360144000 368787456 374784000 377856000 384153600 421632000 432172800 453427200 460984320 480192000 512204800 540216000 553181184 562176000 566784000 576230400 614645760 640256000 674611200 691476480 720288000 755712000 768307200 843264000 864345600 921968640 960384000 1024409600 1080432000 1106362368 1124352000 1133568000 1152460800 1280512000 1382952960 1440576000 1536614400 1686528000 1728691200 1843937280 1920768000 2160864000 2267136000 2304921600 2561024000 2765905920 2881152000 3073228800 3373056000 3457382400 3841536000 4321728000 4609843200 5122048000 5531811840 5762304000 6914764800 7683072000 8643456000 9219686400 11524608000 13829529600 15366144000 17286912000 23049216000 27659059200 34573824000 46098432000 69147648000 138295296000
- Sum of all divisors σ(n): 532429672320
- Sum of proper divisors (its aliquot sum) s(n): 394134376320
- 138295296000 is an abundant number, because the sum of its proper divisors (394134376320) is greater than itself. Its abundance is 255839080320
Bases of 138295296000
- Binary: 100000001100110000101011000000000000002
- Hexadecimal: 0x20330AC000
- Base-36: 1RJ5G5C0
Squares and roots of 138295296000
- 138295296000 squared (1382952960002) is 19125588895727616000000
- 138295296000 cubed (1382952960003) is 2644978977508963790094336000000000
-
The
square root of 138295296000 is 371880.7550815181 -
The
cube root of 138295296000 is 5171.3325832753
Scales and comparisons
How big is 138295296000?- 138,295,296,000 seconds is equal to 4,397 years, 18 weeks, 6 days.
-
To count from 1 to 138,295,296,000 would take you about eight thousand, seven hundred ninety-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 138295296000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138295296000
- 138295296000 backwards is 000692592831
- 138295296000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138295296000's digits is 45
- More coming soon!
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