137884398048000
137,884,398,048,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137884398048000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
137884398048000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 137884398048000:
28 × 32 × 53 × 17 × 31 × 53 × 61 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 53 × 61 × 281)See below for interesting mathematical facts about the number 137884398048000 from the Numbermatics database.
Names of 137884398048000
- Cardinal: 137884398048000 can be written as One hundred thirty-seven trillion, eight hundred eighty-four billion, three hundred ninety-eight million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.37884398048 × 1014
Factors of 137884398048000
Divisors of 137884398048000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 53 60 61 62 64 68 72 75 80 85 90 93 96 100 102 106 120 122 124 125 128 136 144 150 153 155 159 160 170 180 183 186 192 200 204 212 225 240 244 248 250 255 256 265 272 279 281 288 300 305 306 310 318 320 340 360 366 372 375 384 400 408 424 425 450 465 477 480 488 496 500 510 527 530 544 549 558 562 576 600 610 612 620 636 640 680 720 732 744 750 765 768 775 795 800 816 843 848 850 900 901 915 930 954 960 976 992 1000 1020 1037 1054 1060 1088 1098 1116 1124 1125 1152 1200 1220 1224 1240 1272 1275 1280 1325 1360 1395 1405 1440 1464 1488 1500 1525 1530 1550 1581 1590 1600 1632 1643 1686 1696 1700 1800 1802 1830 1860 1891 1908 1920 1952 1984 2000 2040 2074 2108 2120 2125 2176 2196 2232 2248 2250 2304 2325 2385 2400 2440 2448 2480 2529 2544 2550 2635 2650 2703 2720 2745 2790 2810 2880 2928 2976 3000 3050 3060 3100 3111 3162 3180 3200 3233 3264 3286 3372 3392 3400 3600 3604 3660 3720 3782 3816 3825 3840 3875 3904 3968 3975 4000 4080 4148 4215 4216 4240 4250 4352 4392 4464 4496 4500 4505 4575 4650 4743 4770 4777 4800 4880 4896 4929 4960 5058 5088 5100 5185 5270 5300 5406 5440 5490 5580 5620 5673 5760 5856 5952 6000 6100 6120 6200 6222 6324 6360 6375 6400 6466 6528 6572 6625 6744 6784 6800 6975 7025 7200 7208 7320 7440 7564 7625 7632 7650 7750 7808 7905 7936 7950 8000 8109 8160 8215 8296 8430 8432 8480 8500 8711 8784 8928 8992 9000 9010 9150 9300 9333 9455 9486 9540 9554 9600 9699 9760 9792 9858 9920 10116 10176 10200 10370 10540 10600 10812 10880 10980 11160 11240 11346 11520 11625 11712 11904 11925 12000 12200 12240 12400 12444 12645 12648 12720 12750 12932 13056 13144 13175 13250 13488 13515 13568 13600 13725 13950 14050 14331 14400 14416 14640 14787 14880 14893 15128 15250 15264 15300 15500 15555 15616 15810 15900 16000 16165 16218 16320 16430 16592 16860 16864 16960 17000 17019 17141 17422 17568 17856 17984 18000 18020 18300 18600 18666 18910 18972 19080 19108 19125 19200 19398 19520 19584 19716 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163563936000 168975978000 172355497560 173439494400 177915352320 179536976625 180241043200 183845864064 185328492000 188366664000 191506108400 202771173600 215444371950 216799368000 222394190400 225301304000 226039996800 229807330080 239382635500 245345904000 247104656000 251155552000 253463967000 260159241600 261640224000 270361564800 275768796096 277992738000 282549996000 287259162600 289065824000 296525587200 306409773440 324433877760 325199052000 337951956000 344710995120 359073953250 367691728128 370656984000 376733328000 383012216800 405542347200 430888743900 433598736000 444788380800 450602608000 452079993600 459614660160 478765271000 490691808000 494209312000 506927934000 520318483200 538610929875 540723129600 551537592192 555985476000 565099992000 574518325200 612819546880 650398104000 675903912000 689421990240 718147906500 741313968000 753466656000 766024433600 811084694400 861777487800 867197472000 889576761600 901205216000 919229320320 957530542000 1013855868000 1077221859750 1103075184384 1111970952000 1130199984000 1149036650400 1300796208000 1351807824000 1378843980480 1436295813000 1482627936000 1532048867200 1622169388800 1723554975600 1838458640640 1915061084000 2027711736000 2154443719500 2223941904000 2260399968000 2298073300800 2601592416000 2703615648000 2757687960960 2872591626000 3064097734400 3447109951200 3830122168000 4055423472000 4308887439000 4447883808000 4596146601600 5515375921920 5745183252000 6894219902400 7660244336000 8110846944000 8617774878000 9192293203200 11490366504000 13788439804800 15320488672000 17235549756000 22980733008000 27576879609600 34471099512000 45961466016000 68942199024000 137884398048000
- Sum of all divisors σ(n): 563567437375488
- Sum of proper divisors (its aliquot sum) s(n): 425683039327488
- 137884398048000 is an abundant number, because the sum of its proper divisors (425683039327488) is greater than itself. Its abundance is 287798641279488
Bases of 137884398048000
- Binary: 111110101100111101101101001000011010011000000002
- Hexadecimal: 0x7D67B690D300
- Base-36: 1CVJ7UJ0G0
Squares and roots of 137884398048000
- 137884398048000 squared (1378843980480002) is 19012107225059306210304000000
- 137884398048000 cubed (1378843980480003) is 2621472960351334097908275135086592000000000
-
The
square root of 137884398048000 is 11742418.7477708357 -
The
cube root of 137884398048000 is 51662.0587741469
Scales and comparisons
How big is 137884398048000?- 137,884,398,048,000 seconds is equal to 4,384,297 years, 18 weeks, 2 days, 16 hours.
-
To count from 1 to 137,884,398,048,000 would take you about ten million, nine hundred sixty thousand, seven hundred forty-three 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 137884398048000 cubic inches would be around 4305.2 feet tall.
Recreational maths with 137884398048000
- 137884398048000 backwards is 000840893488731
- The number of decimal digits it has is: 15
- The sum of 137884398048000's digits is 63
- More coming soon!
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"Number 137884398048000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137884398048000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137884398048000/
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The information we have on file for 137884398048000 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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