34142688000
34,142,688,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 34142688000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
34142688000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 34142688000:
28 × 33 × 53 × 43 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 919)See below for interesting mathematical facts about the number 34142688000 from the Numbermatics database.
Names of 34142688000
- Cardinal: 34142688000 can be written as Thirty-four billion, one hundred forty-two million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 3.4142688 × 1010
Factors of 34142688000
Divisors of 34142688000
- Number of divisors d(n): 576
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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 43 45 48 50 54 60 64 72 75 80 86 90 96 100 108 120 125 128 129 135 144 150 160 172 180 192 200 215 216 225 240 250 256 258 270 288 300 320 344 360 375 384 387 400 430 432 450 480 500 516 540 576 600 640 645 675 688 720 750 768 774 800 860 864 900 919 960 1000 1032 1075 1080 1125 1152 1161 1200 1280 1290 1350 1376 1440 1500 1548 1600 1720 1728 1800 1838 1920 1935 2000 2064 2150 2160 2250 2304 2322 2400 2580 2700 2752 2757 2880 3000 3096 3200 3225 3375 3440 3456 3600 3676 3840 3870 4000 4128 4300 4320 4500 4595 4644 4800 5160 5375 5400 5504 5514 5760 5805 6000 6192 6400 6450 6750 6880 6912 7200 7352 7740 8000 8256 8271 8600 8640 9000 9190 9288 9600 9675 10320 10750 10800 11008 11028 11520 11610 12000 12384 12900 13500 13760 13785 14400 14704 15480 16000 16125 16512 16542 17200 17280 18000 18380 18576 19200 19350 20640 21500 21600 22056 22975 23220 24000 24768 24813 25800 27000 27520 27570 28800 29025 29408 30960 32000 32250 33024 33084 34400 34560 36000 36760 37152 38700 39517 41280 41355 43000 43200 44112 45950 46440 48000 48375 49536 49626 51600 54000 55040 55140 57600 58050 58816 61920 64500 66168 68800 68925 72000 73520 74304 77400 79034 82560 82710 86000 86400 88224 91900 92880 96000 96750 99072 99252 103200 108000 110280 114875 116100 117632 118551 123840 124065 129000 132336 137600 137850 144000 145125 147040 148608 154800 158068 165120 165420 172000 172800 176448 183800 185760 193500 197585 198504 206400 206775 216000 220560 229750 232200 235264 237102 247680 248130 258000 264672 275200 275700 288000 290250 294080 297216 309600 316136 330840 344000 344625 352896 355653 367600 371520 387000 395170 397008 412800 413550 432000 441120 459500 464400 474204 495360 496260 516000 529344 551400 580500 588160 592755 619200 620325 632272 661680 688000 689250 705792 711306 735200 743040 774000 790340 794016 825600 827100 864000 882240 919000 928800 948408 987925 992520 1032000 1033875 1058688 1066959 1102800 1161000 1176320 1185510 1238400 1240650 1264544 1323360 1376000 1378500 1422612 1470400 1486080 1548000 1580680 1588032 1654200 1764480 1778265 1838000 1857600 1896816 1975850 1985040 2064000 2067750 2117376 2133918 2205600 2322000 2371020 2476800 2481300 2529088 2646720 2757000 2845224 2940800 2963775 3096000 3101625 3161360 3176064 3308400 3528960 3556530 3676000 3715200 3793632 3951700 3970080 4128000 4135500 4267836 4411200 4644000 4742040 4939625 4962600 5058176 5293440 5334795 5514000 5690448 5881600 5927550 6192000 6203250 6322720 6352128 6616800 7113060 7352000 7430400 7587264 7903400 7940160 8271000 8535672 8822400 8891325 9288000 9484080 9879250 9925200 10116352 10586880 10669590 11028000 11380896 11855100 12384000 12406500 12645440 13233600 14226120 14704000 14818875 15174528 15806800 15880320 16542000 17071344 17644800 17782650 18576000 18968160 19758500 19850400 21339180 22056000 22761792 23710200 24813000 25290880 26467200 26673975 28452240 29408000 29637750 30349056 31613600 31760640 33084000 34142688 35565300 37152000 37936320 39517000 39700800 42678360 44112000 44456625 45523584 47420400 49626000 50581760 52934400 53347950 56904480 59275500 63227200 66168000 68285376 71130600 75872640 79034000 79401600 85356720 88224000 88913250 91047168 94840800 99252000 106695900 113808960 118551000 126454400 132336000 133369875 136570752 142261200 151745280 158068000 158803200 170713440 177826500 189681600 198504000 213391800 227617920 237102000 252908800 264672000 266739750 273141504 284522400 316136000 341426880 355653000 379363200 397008000 426783600 455235840 474204000 533479500 569044800 632272000 682853760 711306000 758726400 794016000 853567200 948408000 1066959000 1138089600 1264544000 1365707520 1422612000 1707134400 1896816000 2133918000 2276179200 2845224000 3414268800 3793632000 4267836000 5690448000 6828537600 8535672000 11380896000 17071344000 34142688000
- Sum of all divisors σ(n): 129076147200
- Sum of proper divisors (its aliquot sum) s(n): 94933459200
- 34142688000 is an abundant number, because the sum of its proper divisors (94933459200) is greater than itself. Its abundance is 60790771200
Bases of 34142688000
- Binary: 111111100110001000000010011000000002
- Hexadecimal: 0x7F3101300
- Base-36: FONOAO0
Squares and roots of 34142688000
- 34142688000 squared (341426880002) is 1165723143865344000000
- 34142688000 cubed (341426880003) is 39800921595373554204672000000000
-
The
square root of 34142688000 is 184777.4012156249 -
The
cube root of 34142688000 is 3244.1373756355
Scales and comparisons
How big is 34142688000?- 34,142,688,000 seconds is equal to 1,085 years, 32 weeks, 6 days.
-
To count from 1 to 34,142,688,000 would take you about two thousand, one hundred seventy-one 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 34142688000 cubic inches would be around 270.3 feet tall.
Recreational maths with 34142688000
- 34142688000 backwards is 00088624143
- 34142688000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34142688000's digits is 36
- More coming soon!
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