135127072768000
135,127,072,768,000 is an even composite number composed of four prime numbers multiplied together.
135127072768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred fifty-six divisors.
Prime factorization of 135127072768000:
218 × 53 × 71 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 71 × 241 × 241)See below for interesting mathematical facts about the number 135127072768000 from the Numbermatics database.
Names of 135127072768000
- Cardinal: 135127072768000 can be written as One hundred thirty-five trillion, one hundred twenty-seven billion, seventy-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.35127072768 × 1014
Factors of 135127072768000
Divisors of 135127072768000
- Number of divisors d(n): 456
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 241 250 256 284 320 355 400 482 500 512 568 640 710 800 964 1000 1024 1136 1205 1280 1420 1600 1775 1928 2000 2048 2272 2410 2560 2840 3200 3550 3856 4000 4096 4544 4820 5120 5680 6025 6400 7100 7712 8000 8192 8875 9088 9640 10240 11360 12050 12800 14200 15424 16000 16384 17111 17750 18176 19280 20480 22720 24100 25600 28400 30125 30848 32000 32768 34222 35500 36352 38560 40960 45440 48200 51200 56800 58081 60250 61696 64000 65536 68444 71000 72704 77120 81920 85555 90880 96400 102400 113600 116162 120500 123392 128000 131072 136888 142000 145408 154240 163840 171110 181760 192800 204800 227200 232324 241000 246784 256000 262144 273776 284000 290405 290816 308480 327680 342220 363520 385600 409600 427775 454400 464648 482000 493568 512000 547552 568000 580810 581632 616960 655360 684440 727040 771200 819200 855550 908800 929296 964000 987136 1024000 1095104 1136000 1161620 1163264 1233920 1310720 1368880 1452025 1454080 1542400 1638400 1711100 1817600 1858592 1928000 1974272 2048000 2138875 2190208 2272000 2323240 2326528 2467840 2737760 2904050 2908160 3084800 3276800 3422200 3635200 3717184 3856000 3948544 4096000 4123751 4277750 4380416 4544000 4646480 4653056 4935680 5475520 5808100 5816320 6169600 6553600 6844400 7260125 7270400 7434368 7712000 7897088 8192000 8247502 8555500 8760832 9088000 9292960 9306112 9871360 10951040 11616200 11632640 12339200 13688800 14520250 14540800 14868736 15424000 15794176 16384000 16495004 17111000 17521664 18176000 18585920 18612224 19742720 20618755 21902080 23232400 23265280 24678400 27377600 29040500 29081600 29737472 30848000 31588352 32768000 32990008 34222000 35043328 36352000 37171840 39485440 41237510 43804160 46464800 46530560 49356800 54755200 58081000 58163200 59474944 61696000 63176704 65980016 68444000 70086656 72704000 74343680 78970880 82475020 87608320 92929600 93061120 98713600 103093775 109510400 116162000 116326400 118949888 123392000 131960032 136888000 140173312 145408000 148687360 157941760 164950040 175216640 185859200 197427200 206187550 219020800 232324000 232652800 237899776 246784000 263920064 273776000 280346624 290816000 297374720 315883520 329900080 350433280 371718400 394854400 412375100 438041600 464648000 465305600 475799552 493568000 515468875 527840128 547552000 560693248 581632000 594749440 659800160 700866560 743436800 789708800 824750200 876083200 929296000 951599104 987136000 1030937750 1055680256 1095104000 1121386496 1163264000 1189498880 1319600320 1401733120 1486873600 1579417600 1649500400 1752166400 1858592000 1903198208 1974272000 2061875500 2111360512 2190208000 2242772992 2326528000 2378997760 2639200640 2803466240 2973747200 3299000800 3504332800 3717184000 3806396416 3948544000 4123751000 4222721024 4380416000 4485545984 4757995520 5278401280 5606932480 5947494400 6598001600 7008665600 7434368000 7612792832 7897088000 8247502000 8445442048 8760832000 9515991040 10556802560 11213864960 11894988800 13196003200 14017331200 14868736000 15225585664 16495004000 16890884096 17521664000 19031982080 21113605120 22427729920 23789977600 26392006400 28034662400 29737472000 32990008000 33781768192 35043328000 38063964160 42227210240 47579955200 52784012800 56069324800 59474944000 65980016000 67563536384 70086656000 76127928320 84454420480 95159910400 105568025600 112138649600 118949888000 131960032000 135127072768 140173312000 168908840960 190319820800 211136051200 237899776000 263920064000 270254145536 280346624000 337817681920 380639641600 422272102400 475799552000 527840128000 540508291072 560693248000 675635363840 844544204800 951599104000 1055680256000 1081016582144 1351270727680 1689088409600 1903198208000 2111360512000 2702541455360 3378176819200 4222721024000 5405082910720 6756353638400 8445442048000 13512707276800 16890884096000 27025414553600 33781768192000 67563536384000 135127072768000
- Sum of all divisors σ(n): 343451991553632
- Sum of proper divisors (its aliquot sum) s(n): 208324918785632
- 135127072768000 is an abundant number, because the sum of its proper divisors (208324918785632) is greater than itself. Its abundance is 73197846017632
Bases of 135127072768000
- Binary: 111101011100101101110010010110000000000000000002
- Hexadecimal: 0x7AE5B92C0000
- Base-36: 1BWCIQ8XZ4
Squares and roots of 135127072768000
- 135127072768000 squared (1351270727680002) is 18259325794848367181824000000
- 135127072768000 cubed (1351270727680003) is 2467329245375094751704314734968832000000000
-
The
square root of 135127072768000 is 11624417.0936868917 -
The
cube root of 135127072768000 is 51315.3690103055
Scales and comparisons
How big is 135127072768000?- 135,127,072,768,000 seconds is equal to 4,296,622 years, 48 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 135,127,072,768,000 would take you about ten million, seven hundred forty-one thousand, five hundred fifty-seven 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 135127072768000 cubic inches would be around 4276.3 feet tall.
Recreational maths with 135127072768000
- 135127072768000 backwards is 000867270721531
- The number of decimal digits it has is: 15
- The sum of 135127072768000's digits is 49
- More coming soon!
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