135377371008000
135,377,371,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135377371008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3960 divisors.
135377371008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, nine hundred sixty divisors.
Prime factorization of 135377371008000:
210 × 34 × 53 × 112 × 31 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 59 × 59)See below for interesting mathematical facts about the number 135377371008000 from the Numbermatics database.
Names of 135377371008000
- Cardinal: 135377371008000 can be written as One hundred thirty-five trillion, three hundred seventy-seven billion, three hundred seventy-one million, eight thousand.
Scientific notation
- Scientific notation: 1.35377371008 × 1014
Factors of 135377371008000
Divisors of 135377371008000
- Number of divisors d(n): 3960
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 59 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 118 120 121 124 125 128 132 135 144 150 155 160 162 165 176 177 180 186 192 198 200 216 220 225 236 240 242 248 250 256 264 270 275 279 288 295 297 300 310 320 324 330 341 352 354 360 363 372 375 384 396 400 405 432 440 450 465 472 480 484 495 496 500 512 528 531 540 550 558 576 590 594 600 605 620 640 648 649 660 675 682 704 708 720 726 744 750 768 775 792 800 810 825 837 864 880 885 891 900 930 944 960 968 990 992 1000 1023 1024 1056 1062 1080 1089 1100 1116 1125 1152 1180 1188 1200 1210 1240 1280 1296 1298 1320 1350 1364 1375 1395 1408 1416 1440 1452 1475 1485 1488 1500 1536 1550 1584 1593 1600 1620 1650 1674 1705 1728 1760 1770 1782 1800 1815 1829 1860 1888 1920 1936 1947 1980 1984 2000 2025 2046 2112 2124 2160 2178 2200 2232 2250 2304 2325 2360 2376 2400 2420 2475 2480 2511 2560 2592 2596 2640 2655 2700 2728 2750 2790 2816 2832 2880 2904 2950 2970 2976 3000 3025 3069 3072 3100 3168 3186 3200 3240 3245 3267 3300 3348 3375 3410 3456 3481 3520 3540 3564 3600 3630 3658 3720 3751 3776 3840 3872 3875 3894 3960 3968 4000 4050 4092 4125 4185 4224 4248 4320 4356 4400 4425 4455 4464 4500 4608 4650 4720 4752 4779 4800 4840 4950 4960 5022 5115 5120 5184 5192 5280 5310 5400 5445 5456 5487 5500 5580 5632 5664 5760 5808 5841 5900 5940 5952 6000 6050 6138 6200 6336 6372 6400 6480 6490 6534 6600 6696 6750 6820 6912 6962 6975 7040 7080 7128 7139 7200 7260 7316 7375 7425 7440 7502 7552 7680 7744 7750 7788 7920 7936 7965 8000 8100 8184 8250 8370 8448 8496 8525 8640 8712 8800 8850 8910 8928 9000 9075 9145 9207 9216 9300 9440 9504 9558 9600 9680 9735 9801 9900 9920 10044 10125 10230 10368 10384 10443 10560 10620 10800 10890 10912 10974 11000 11160 11253 11264 11328 11520 11616 11625 11682 11800 11880 11904 12000 12100 12276 12375 12400 12555 12672 12744 12800 12960 12980 13068 13200 13275 13392 13500 13640 13824 13924 13950 14080 14160 14256 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683724096000 705090474000 727835328000 752096505600 764843904000 769189608000 820468915200 835662784000 846108568800 873402393600 902515806720 940120632000 1002795340800 1025586144000 1057635711000 1083018968064 1091752992000 1118821248000 1128144758400 1147265856000 1230703372800 1253494176000 1353773710080 1367448192000 1410180948000 1455670656000 1504193011200 1538379216000 1671325568000 1692217137600 1805031613440 1880241264000 2051172288000 2115271422000 2183505984000 2256289516800 2294531712000 2461406745600 2506988352000 2707547420160 2820361896000 3008386022400 3076758432000 3384434275200 3760482528000 4102344576000 4230542844000 4367011968000 4512579033600 5013976704000 5415094840320 5640723792000 6153516864000 6768868550400 7520965056000 8461085688000 9025158067200 11281447584000 12307033728000 13537737100800 15041930112000 16922171376000 22562895168000 27075474201600 33844342752000 45125790336000 67688685504000 135377371008000
- Sum of all divisors σ(n): 582311487069312
- Sum of proper divisors (its aliquot sum) s(n): 446934116061312
- 135377371008000 is an abundant number, because the sum of its proper divisors (446934116061312) is greater than itself. Its abundance is 311556745053312
Bases of 135377371008000
- Binary: 111101100100000000000000001110000001100000000002
- Hexadecimal: 0x7B20001C0C00
- Base-36: 1BZJI7CW00
Squares and roots of 135377371008000
- 135377371008000 squared (1353773710080002) is 18327032581037678936064000000
- 135377371008000 cubed (1353773710080003) is 2481065489198841686954722839232512000000000
-
The
square root of 135377371008000 is 11635178.1682963497 -
The
cube root of 135377371008000 is 51347.0335858717
Scales and comparisons
How big is 135377371008000?- 135,377,371,008,000 seconds is equal to 4,304,581 years, 33 weeks, 5 days.
-
To count from 1 to 135,377,371,008,000 would take you about ten million, seven hundred sixty-one thousand, four hundred fifty-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 135377371008000 cubic inches would be around 4278.9 feet tall.
Recreational maths with 135377371008000
- 135377371008000 backwards is 000800173773531
- 135377371008000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135377371008000's digits is 45
- More coming soon!
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"Number 135377371008000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 135377371008000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/135377371008000/
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The information we have on file for 135377371008000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 135377371008000, math, Factors of 135377371008000, curriculum, school, college, exams, university, Prime factorization of 135377371008000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, three hundred seventy-seven billion, three hundred seventy-one million, eight thousand.