137993774464000
137,993,774,464,000 is an even composite number composed of eight prime numbers multiplied together.
137993774464000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 137993774464000:
210 × 53 × 7 × 13 × 29 × 37 × 61 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 29 × 37 × 61 × 181)See below for interesting mathematical facts about the number 137993774464000 from the Numbermatics database.
Names of 137993774464000
- Cardinal: 137993774464000 can be written as One hundred thirty-seven trillion, nine hundred ninety-three billion, seven hundred seventy-four million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.37993774464 × 1014
Factors of 137993774464000
Divisors of 137993774464000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 37 40 50 52 56 58 61 64 65 70 74 80 91 100 104 112 116 122 125 128 130 140 145 148 160 175 181 182 185 200 203 208 224 232 244 250 256 259 260 280 290 296 305 320 325 350 362 364 370 377 400 406 416 427 448 455 464 481 488 500 512 518 520 560 580 592 610 640 650 700 724 725 728 740 754 793 800 812 832 854 875 896 905 910 925 928 962 976 1000 1015 1024 1036 1040 1073 1120 1160 1184 1220 1267 1280 1295 1300 1400 1448 1450 1456 1480 1508 1525 1586 1600 1624 1625 1664 1708 1750 1769 1792 1810 1820 1850 1856 1885 1924 1952 2000 2030 2072 2080 2135 2146 2240 2257 2275 2320 2353 2368 2405 2440 2534 2560 2590 2600 2639 2800 2896 2900 2912 2960 3016 3050 3172 3200 3248 3250 3328 3367 3416 3500 3538 3584 3620 3625 3640 3700 3712 3770 3848 3904 3965 4000 4060 4144 4160 4270 4292 4480 4514 4525 4550 4625 4640 4706 4736 4810 4880 5068 5075 5120 5180 5200 5249 5278 5365 5551 5600 5792 5800 5824 5920 6032 6100 6335 6344 6400 6475 6496 6500 6656 6697 6734 6832 7000 7076 7168 7240 7250 7280 7400 7424 7511 7540 7625 7696 7808 7930 8000 8120 8288 8320 8540 8584 8845 8960 9028 9050 9100 9250 9280 9412 9425 9472 9620 9760 10136 10150 10360 10400 10498 10556 10675 10730 11041 11102 11200 11285 11375 11584 11600 11648 11765 11840 12025 12064 12200 12383 12670 12688 12800 12950 12992 13000 13195 13312 13394 13468 13664 13949 14000 14152 14480 14500 14560 14800 14848 15022 15080 15250 15392 15616 15799 15860 16000 16240 16471 16576 16640 16835 17080 17168 17690 17920 18056 18100 18200 18500 18560 18824 18850 18944 19240 19520 19825 20272 20300 20720 20800 20996 21112 21350 21460 22082 22204 22400 22570 22625 22750 22997 23168 23200 23296 23530 23680 24050 24128 24400 24766 25340 25375 25376 25600 25900 25984 26000 26245 26390 26788 26825 26936 27328 27755 27898 28000 28304 28960 29000 29120 29341 29600 29696 30044 30160 30500 30784 31232 31598 31675 31720 32000 32375 32480 32942 33152 33280 33485 33670 34160 34336 35380 35840 36112 36200 36400 36743 37000 37120 37555 37648 37700 37888 38480 39040 39650 40544 40600 41440 41600 41992 42224 42700 42920 44164 44225 44408 44800 45140 45250 45500 45994 46336 46400 46592 46879 47060 47125 47360 48100 48256 48800 49532 50680 50750 50752 51800 51968 52000 52490 52780 53375 53576 53650 53872 54656 55205 55510 55796 56000 56425 56608 57920 58000 58240 58682 58825 59200 60088 60125 60320 61000 61568 61915 62464 63196 63350 63440 64000 64750 64960 65453 65884 65975 66304 66560 66970 67340 68237 68320 68672 69745 70760 72224 72400 72800 73486 74000 74240 75110 75296 75400 76960 77287 78080 78995 79300 81088 81200 82355 82880 83200 83984 84175 84448 85400 85840 87061 88328 88450 88816 89600 90280 90500 91000 91988 92672 92800 93184 93758 94120 94250 94720 96200 96512 97600 97643 99064 99125 101360 101500 101504 103600 103936 104000 104980 105560 106750 107152 107300 107744 109312 110410 111020 111592 112000 112850 113216 114985 115840 116000 116480 117364 117650 118400 120176 120250 120640 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6536272000 6572384000 6634316080 6659931200 6797722880 6807112000 6960593920 7069353200 7172233600 7284299750 7320624640 7330736000 7435009400 7459122944 7582075520 7623965440 7642544000 7700545450 7800665600 8037848000 8079260800 8196838400 8292895100 8324914000 8377984000 8497153600 8624610904 8700742400 8734336000 8836691500 8965292000 9048772096 9150780800 9186112000 9293761750 9323903680 9477594400 9516812032 9529956800 9750832000 9856698176 9892736000 10099076000 10246048000 10302656000 10366118875 10458035200 10614905728 10621442000 10655889920 10780763630 10875928000 10891379200 11143808000 11310965120 11438476000 11475573760 11654879600 11729177600 11846993000 11896015040 11912446000 12131320832 12228070400 12320872720 12429632000 12498304000 12860556800 12926817280 13072544000 13144768000 13268632160 13319862400 13595445760 13614224000 14138706400 14344467200 14568599500 14641249280 14661472000 14870018800 14918245888 15164151040 15247930880 15285088000 15401090900 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45753904000 46619518400 47387972000 47584060160 47649784000 49283490880 52290176000 53074528640 53279449600 53903818150 54456896000 56554825600 57377868800 58274398000 58645888000 59480075200 60656604160 61140352000 61604363600 64302784000 64634086400 66343160800 66599312000 67977228800 68996887232 70693532000 71722336000 73206246400 74350094000 74591229440 75820755200 76239654400 77005454500 78006656000 78853585408 80792608000 82928951000 84919245824 84971536000 86246109040 87007424000 90487720960 91507808000 93239036800 94775944000 95168120320 95299568000 98566981760 106149057280 106558899200 107807636300 108913792000 113109651200 116548796000 118960150400 123208727200 128605568000 132686321600 133198624000 134759545375 135954457600 137993774464 141387064000 143444672000 148700188000 149182458880 151641510400 152479308800 154010909000 157707170816 161585216000 165857902000 169943072000 172492218080 174014848000 183015616000 186478073600 189551888000 190336240640 190599136000 197133963520 212298114560 215615272600 226219302400 233097592000 237920300800 246417454400 265372643200 266397248000 269519090750 275987548928 282774128000 286889344000 297400376000 303283020800 308021818000 323170432000 331715804000 339886144000 344984436160 366031232000 372956147200 379103776000 381198272000 394267927040 424596229120 431230545200 452438604800 466195184000 475840601600 492834908800 530745286400 532794496000 539038181500 551975097856 565548256000 594800752000 616043636000 663431608000 679772288000 689968872320 745912294400 758207552000 762396544000 788535854080 862461090400 932390368000 951681203200 985669817600 1061490572800 1078076363000 1103950195712 1131096512000 1189601504000 1232087272000 1326863216000 1379937744640 1516415104000 1724922180800 1864780736000 1971339635200 2122981145600 2156152726000 2262193024000 2379203008000 2464174544000 2653726432000 2759875489280 3449844361600 3729561472000 3942679270400 4312305452000 4758406016000 4928349088000 5307452864000 5519750978560 6899688723200 8624610904000 9856698176000 10614905728000 13799377446400 17249221808000 19713396352000 27598754892800 34498443616000 68996887232000 137993774464000
- Sum of all divisors σ(n): 460074743331840
- Sum of proper divisors (its aliquot sum) s(n): 322080968867840
- 137993774464000 is an abundant number, because the sum of its proper divisors (322080968867840) is greater than itself. Its abundance is 184087194403840
Bases of 137993774464000
- Binary: 111110110000001001011011110100001111100000000002
- Hexadecimal: 0x7D812DE87C00
- Base-36: 1CWXGQF75S
Squares and roots of 137993774464000
- 137993774464000 squared (1379937744640002) is 19042281790821298487296000000
- 137993774464000 cubed (1379937744640003) is 2627716338722528288783548593209344000000000
-
The
square root of 137993774464000 is 11747075.1450733471 -
The
cube root of 137993774464000 is 51675.7154253211
Scales and comparisons
How big is 137993774464000?- 137,993,774,464,000 seconds is equal to 4,387,775 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,993,774,464,000 would take you about ten million, nine hundred sixty-nine thousand, four hundred thirty-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 137993774464000 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137993774464000
- 137993774464000 backwards is 000464477399731
- 137993774464000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137993774464000's digits is 64
- More coming soon!
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The information we have on file for 137993774464000 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!
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