136513891837008000
136,513,891,837,008,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 136513891837008000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
136513891837008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 136513891837008000:
27 × 32 × 53 × 75 × 19 × 17232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 19 × 1723 × 1723)See below for interesting mathematical facts about the number 136513891837008000 from the Numbermatics database.
Names of 136513891837008000
- Cardinal: 136513891837008000 can be written as One hundred thirty-six quadrillion, five hundred thirteen trillion, eight hundred ninety-one billion, eight hundred thirty-seven million, eight thousand.
Scientific notation
- Scientific notation: 1.36513891837008 × 1017
Factors of 136513891837008000
Divisors of 136513891837008000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 49 50 56 57 60 63 64 70 72 75 76 80 84 90 95 96 98 100 105 112 114 120 125 126 128 133 140 144 147 150 152 160 168 171 175 180 190 192 196 200 210 224 225 228 240 245 250 252 266 280 285 288 294 300 304 315 320 336 342 343 350 360 375 380 384 392 399 400 420 441 448 450 456 475 480 490 500 504 525 532 560 570 576 588 600 608 630 640 665 672 684 686 700 720 735 750 760 784 798 800 840 855 875 882 896 900 912 931 950 960 980 1000 1008 1029 1050 1064 1120 1125 1140 1152 1176 1197 1200 1216 1225 1260 1330 1344 1368 1372 1400 1425 1440 1470 1500 1520 1568 1575 1596 1600 1680 1710 1715 1723 1750 1764 1800 1824 1862 1900 1920 1960 1995 2000 2016 2058 2100 2128 2205 2240 2250 2280 2352 2375 2394 2400 2401 2432 2450 2520 2625 2660 2688 2736 2744 2793 2800 2850 2880 2940 3000 3040 3087 3136 3150 3192 3200 3325 3360 3420 3430 3446 3500 3528 3600 3648 3675 3724 3800 3920 3990 4000 4032 4116 4200 4256 4275 4410 4480 4500 4560 4655 4704 4750 4788 4800 4802 4900 5040 5145 5169 5250 5320 5472 5488 5586 5600 5700 5760 5880 5985 6000 6080 6125 6174 6272 6300 6384 6517 6650 6720 6840 6860 6892 7000 7056 7125 7200 7203 7296 7350 7448 7600 7840 7875 7980 8000 8064 8232 8379 8400 8512 8550 8575 8615 8820 9000 9120 9310 9408 9500 9576 9600 9604 9800 9975 10080 10290 10338 10500 10640 10944 10976 11025 11172 11200 11400 11760 11970 12000 12005 12061 12160 12250 12348 12600 12768 13034 13300 13440 13680 13720 13784 13965 14000 14112 14250 14400 14406 14700 14896 15200 15435 15507 15680 15750 15960 16000 16464 16625 16758 16800 16807 17024 17100 17150 17230 17640 18000 18240 18375 18620 18816 19000 19152 19208 19551 19600 19950 20160 20580 20676 21000 21280 21375 21609 21888 21952 22050 22344 22400 22800 23275 23520 23940 24000 24010 24122 24500 24696 25200 25536 25725 25845 26068 26600 27360 27440 27568 27930 28000 28224 28500 28800 28812 29400 29792 29925 30400 30870 31014 31360 31500 31920 32585 32737 32928 33250 33516 33600 33614 34200 34300 34460 35280 36000 36015 36183 36480 36750 37240 38000 38304 38416 39102 39200 39900 40320 41160 41352 41895 42000 42560 42750 42875 43075 43218 43904 44100 44688 45600 45619 46550 47040 47880 48000 48020 48244 49000 49392 49875 50400 50421 51072 51450 51690 52136 53200 54720 54880 55125 55136 55860 56000 56448 57000 57624 58653 58800 59584 59850 60025 60305 60800 61740 62028 63000 63840 65170 65474 65856 66500 67032 67200 67228 68400 68600 68920 69825 70560 72000 72030 72366 73500 74480 76000 76608 76832 77175 77535 78204 78400 79800 82320 82704 83790 84000 84035 84427 85120 85500 85750 86150 86436 88200 89376 91200 91238 93100 94080 95760 96040 96488 97755 98000 98211 98784 99750 100800 100842 102900 103380 104272 106400 108045 108549 109440 109760 110250 110272 111720 112000 114000 115248 116375 117306 117600 119168 119700 120050 120610 123480 124056 126000 127680 128625 129225 130340 130948 131712 133000 134064 134456 136800 136857 137200 137840 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1197490279272000 1218874034259000 1300132303209600 1365138918370080 1392998896296000 1422019706635500 1436988335126400 1516821020411200 1625165379012000 1706423647962600 1796235418908000 1820185224493440 1896026275514000 1950198454814400 2133029559953250 2166887172016000 2275231530616800 2394980558544000 2437748068518000 2730277836740160 2785997792592000 2844039413271000 3033642040822400 3250330758024000 3412847295925200 3592470837816000 3792052551028000 3900396909628800 4266059119906500 4550463061233600 4875496137036000 5460555673480320 5688078826542000 6500661516048000 6825694591850400 7184941675632000 7584105102056000 8532118239813000 9100926122467200 9750992274072000 11376157653084000 13651389183700800 15168210204112000 17064236479626000 19501984548144000 22752315306168000 27302778367401600 34128472959252000 45504630612336000 68256945918504000 136513891837008000
- Sum of all divisors σ(n): 602412687662947200
- Sum of proper divisors (its aliquot sum) s(n): 465898795825939200
- 136513891837008000 is an abundant number, because the sum of its proper divisors (465898795825939200) is greater than itself. Its abundance is 329384903988931200
Bases of 136513891837008000
- Binary: 1111001001111111010101001010011011101100111011000100000002
- Hexadecimal: 0x1E4FEA94DD9D880
- Base-36: 11C64W4ZIN40
Squares and roots of 136513891837008000
- 136513891837008000 squared (1365138918370080002) is 18636042664486319456838392064000000
- 136513891837008000 cubed (1365138918370080003) is 2544078712569551783838380734769549888704512000000000
-
The
square root of 136513891837008000 is 369477863.7983715527 -
The
cube root of 136513891837008000 is 514903.2297983537
Scales and comparisons
How big is 136513891837008000?- 136,513,891,837,008,000 seconds is equal to 4,340,719,495 years, 11 weeks, 4 days, 16 hours.
-
To count from 1 to 136,513,891,837,008,000 would take you about thirteen billion, twenty-two million, one hundred fifty-eight thousand, four hundred eighty-five 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 136513891837008000 cubic inches would be around 42908.6 feet tall.
Recreational maths with 136513891837008000
- 136513891837008000 backwards is 000800738198315631
- 136513891837008000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136513891837008000's digits is 63
- More coming soon!
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"Number 136513891837008000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 136513891837008000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/136513891837008000/
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Numbermatics. 2024. "Number 136513891837008000 - Facts about the integer". https://numbermatics.com/n/136513891837008000/
The information we have on file for 136513891837008000 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 136513891837008000, math, Factors of 136513891837008000, curriculum, school, college, exams, university, Prime factorization of 136513891837008000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quadrillion, five hundred thirteen trillion, eight hundred ninety-one billion, eight hundred thirty-seven million, eight thousand.