138213169344000
138,213,169,344,000 is an even composite number composed of seven prime numbers multiplied together.
138213169344000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 138213169344000:
29 × 34 × 53 × 17 × 53 × 127 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 53 × 127 × 233)See below for interesting mathematical facts about the number 138213169344000 from the Numbermatics database.
Names of 138213169344000
- Cardinal: 138213169344000 can be written as One hundred thirty-eight trillion, two hundred thirteen billion, one hundred sixty-nine million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38213169344 × 1014
Factors of 138213169344000
Divisors of 138213169344000
- Number of divisors d(n): 3200
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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 27 30 32 34 36 40 45 48 50 51 53 54 60 64 68 72 75 80 81 85 90 96 100 102 106 108 120 125 127 128 135 136 144 150 153 159 160 162 170 180 192 200 204 212 216 225 233 240 250 254 255 256 265 270 272 288 300 306 318 320 324 340 360 375 381 384 400 405 408 424 425 432 450 459 466 477 480 500 508 510 512 530 540 544 576 600 612 635 636 640 648 675 680 699 720 750 762 765 768 795 800 810 816 848 850 864 900 901 918 932 954 960 1000 1016 1020 1060 1080 1088 1125 1143 1152 1165 1200 1224 1270 1272 1275 1280 1296 1325 1350 1360 1377 1398 1431 1440 1500 1524 1530 1536 1590 1600 1620 1632 1696 1700 1728 1800 1802 1836 1864 1905 1908 1920 2000 2025 2032 2040 2097 2120 2125 2159 2160 2176 2250 2286 2295 2304 2330 2385 2400 2448 2540 2544 2550 2560 2592 2650 2700 2703 2720 2754 2796 2862 2880 3000 3048 3060 3175 3180 3200 3240 3264 3375 3392 3400 3429 3456 3495 3600 3604 3672 3728 3810 3816 3825 3840 3961 3975 4000 4050 4064 4080 4194 4240 4250 4293 4318 4320 4352 4500 4505 4572 4590 4608 4660 4770 4800 4896 5080 5088 5100 5184 5300 5400 5406 5440 5508 5592 5715 5724 5760 5825 6000 6096 6120 6291 6350 6360 6375 6400 6477 6480 6528 6625 6731 6750 6784 6800 6858 6885 6912 6990 7155 7200 7208 7344 7456 7620 7632 7650 7680 7922 7950 8000 8100 8109 8128 8160 8388 8480 8500 8586 8636 8640 8704 9000 9010 9144 9180 9320 9525 9540 9600 9792 10125 10160 10176 10200 10287 10368 10485 10600 10795 10800 10812 10880 11016 11184 11430 11448 11475 11520 11650 11883 11925 12000 12192 12240 12349 12582 12700 12720 12750 12800 12954 12960 13056 13250 13462 13500 13515 13568 13600 13716 13770 13824 13980 14310 14400 14416 14688 14912 15240 15264 15300 15844 15875 15900 16000 16200 16218 16256 16320 16776 16960 17000 17145 17172 17272 17280 17475 18000 18020 18288 18360 18640 18873 19050 19080 19125 19200 19431 19584 19805 19875 20193 20250 20320 20352 20400 20574 20736 20970 21200 21465 21590 21600 21624 21760 22032 22368 22525 22860 22896 22950 23040 23300 23766 23850 24000 24327 24384 24480 24698 25164 25400 25440 25500 25908 25920 26112 26500 26924 27000 27030 27136 27200 27432 27540 27960 28575 28620 28800 28832 29125 29376 29591 29824 30480 30528 30600 31455 31688 31750 31800 32000 32385 32400 32436 32512 32640 33552 33655 33920 34000 34290 34344 34425 34544 34560 34950 35649 35775 36000 36040 36576 36720 37047 37280 37746 38100 38160 38250 38400 38862 39168 39610 39750 40386 40500 40545 40640 40704 40800 41148 41472 41940 42400 42930 43180 43200 43248 43520 44064 44736 45050 45720 45792 45900 46600 47532 47625 47700 48000 48654 48768 48960 49396 50328 50800 50880 51000 51435 51816 51840 52425 53000 53848 53975 54000 54060 54400 54864 55080 55920 57150 57240 57375 57600 57664 58250 58293 58752 59182 59415 59625 59648 60579 60960 61056 61200 61745 62910 63376 63500 63600 64000 64770 64800 64872 65024 65280 67104 67310 67575 67840 68000 68580 68688 68850 69088 69120 69900 71298 71550 72000 72080 72981 73152 73440 74094 74560 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204760250880 213291928000 215958077100 217316304000 217658534400 225838512000 230355282240 239953419000 254068326000 255950313600 260779564800 269947596375 271006214400 272073168000 276426338688 287944102800 289755072000 296594784000 301118016000 307140376320 319937892000 325207457280 325974456000 338757768000 341267084800 345532923360 359930128500 362764224000 368568451584 383925470400 406509321600 426583856000 431916154200 434632608000 451677024000 460710564480 479906838000 508136652000 511900627200 521559129600 539895192750 542012428800 544146336000 552852677376 575888205600 593189568000 614280752640 639875784000 651948912000 677515536000 691065846720 719860257000 767850940800 813018643200 853167712000 863832308400 869265216000 903354048000 921421128960 959813676000 1016273304000 1023801254400 1079790385500 1088292672000 1105705354752 1151776411200 1279751568000 1303897824000 1355031072000 1382131693440 1439720514000 1535701881600 1626037286400 1706335424000 1727664616800 1842842257920 1919627352000 2032546608000 2159580771000 2303552822400 2559503136000 2607795648000 2710062144000 2764263386880 2879441028000 3071403763200 3455329233600 3839254704000 4065093216000 4319161542000 4607105644800 5119006272000 5528526773760 5758882056000 6910658467200 7678509408000 8130186432000 8638323084000 9214211289600 11517764112000 13821316934400 15357018816000 17276646168000 23035528224000 27642633868800 34553292336000 46071056448000 69106584672000 138213169344000
- Sum of all divisors σ(n): 562182981414912
- Sum of proper divisors (its aliquot sum) s(n): 423969812070912
- 138213169344000 is an abundant number, because the sum of its proper divisors (423969812070912) is greater than itself. Its abundance is 285756642726912
Bases of 138213169344000
- Binary: 111110110110100010000101101110010101110000000002
- Hexadecimal: 0x7DB442DCAE00
- Base-36: 1CZQ94GW00
Squares and roots of 138213169344000
- 138213169344000 squared (1382131693440002) is 19102880180113221390336000000
- 138213169344000 cubed (1382131693440003) is 2640269613292129889115872693059584000000000
-
The
square root of 138213169344000 is 11756409.7131734907 -
The
cube root of 138213169344000 is 51703.0871535787
Scales and comparisons
How big is 138213169344000?- 138,213,169,344,000 seconds is equal to 4,394,751 years, 13 weeks, 5 days.
-
To count from 1 to 138,213,169,344,000 would take you about ten million, nine hundred eighty-six thousand, eight hundred seventy-eight 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 138213169344000 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138213169344000
- 138213169344000 backwards is 000443961312831
- 138213169344000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138213169344000's digits is 45
- More coming soon!
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"Number 138213169344000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138213169344000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138213169344000/
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The information we have on file for 138213169344000 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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