138213376000
138,213,376,000 is an even composite number composed of five prime numbers multiplied together.
138213376000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138213376000:
214 × 53 × 7 × 31 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 311)See below for interesting mathematical facts about the number 138213376000 from the Numbermatics database.
Names of 138213376000
- Cardinal: 138213376000 can be written as One hundred thirty-eight billion, two hundred thirteen million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38213376 × 1011
Factors of 138213376000
Divisors of 138213376000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 125 128 140 155 160 175 200 217 224 248 250 256 280 310 311 320 350 400 434 448 496 500 512 560 620 622 640 700 775 800 868 875 896 992 1000 1024 1085 1120 1240 1244 1280 1400 1550 1555 1600 1736 1750 1792 1984 2000 2048 2170 2177 2240 2480 2488 2560 2800 3100 3110 3200 3472 3500 3584 3875 3968 4000 4096 4340 4354 4480 4960 4976 5120 5425 5600 6200 6220 6400 6944 7000 7168 7750 7775 7936 8000 8192 8680 8708 8960 9641 9920 9952 10240 10850 10885 11200 12400 12440 12800 13888 14000 14336 15500 15550 15872 16000 16384 17360 17416 17920 19282 19840 19904 20480 21700 21770 22400 24800 24880 25600 27125 27776 28000 28672 31000 31100 31744 32000 34720 34832 35840 38564 38875 39680 39808 40960 43400 43540 44800 48205 49600 49760 51200 54250 54425 55552 56000 57344 62000 62200 63488 64000 67487 69440 69664 71680 77128 77750 79360 79616 81920 86800 87080 89600 96410 99200 99520 102400 108500 108850 111104 112000 114688 124000 124400 126976 128000 134974 138880 139328 143360 154256 155500 158720 159232 173600 174160 179200 192820 198400 199040 204800 217000 217700 222208 224000 241025 248000 248800 253952 256000 269948 272125 277760 278656 286720 308512 311000 317440 318464 337435 347200 348320 358400 385640 396800 398080 409600 434000 435400 444416 448000 482050 496000 497600 507904 512000 539896 544250 555520 557312 573440 617024 622000 634880 636928 674870 694400 696640 716800 771280 793600 796160 868000 870800 888832 896000 964100 992000 995200 1024000 1079792 1088500 1111040 1114624 1205125 1234048 1244000 1269760 1273856 1349740 1388800 1393280 1433600 1542560 1587200 1592320 1687175 1736000 1741600 1777664 1792000 1928200 1984000 1990400 2048000 2159584 2177000 2222080 2229248 2410250 2468096 2488000 2539520 2547712 2699480 2777600 2786560 2867200 3085120 3174400 3184640 3374350 3472000 3483200 3555328 3584000 3856400 3968000 3980800 4319168 4354000 4444160 4458496 4820500 4936192 4976000 5095424 5398960 5555200 5573120 6170240 6348800 6369280 6748700 6944000 6966400 7168000 7712800 7936000 7961600 8435875 8638336 8708000 8888320 8916992 9641000 9872384 9952000 10797920 11110400 11146240 12340480 12697600 12738560 13497400 13888000 13932800 14336000 15425600 15872000 15923200 16871750 17276672 17416000 17776640 17833984 19282000 19744768 19904000 21595840 22220800 22292480 24680960 25477120 26994800 27776000 27865600 30851200 31744000 31846400 33743500 34553344 34832000 35667968 38564000 39489536 39808000 43191680 44441600 44584960 49361920 53989600 55552000 55731200 61702400 63488000 63692800 67487000 69106688 69664000 77128000 78979072 79616000 86383360 88883200 89169920 98723840 107979200 111104000 111462400 123404800 127385600 134974000 138213376 139328000 154256000 157958144 159232000 172766720 178339840 197447680 215958400 222208000 222924800 246809600 269948000 276426752 278656000 308512000 318464000 345533440 394895360 431916800 444416000 445849600 493619200 539896000 552853504 557312000 617024000 636928000 691066880 789790720 863833600 891699200 987238400 1079792000 1105707008 1114624000 1234048000 1382133760 1727667200 1974476800 2159584000 2229248000 2468096000 2764267520 3455334400 3948953600 4319168000 4458496000 4936192000 5528535040 6910668800 8638336000 9872384000 13821337600 17276672000 19744768000 27642675200 34553344000 69106688000 138213376000
- Sum of all divisors σ(n): 408277868544
- Sum of proper divisors (its aliquot sum) s(n): 270064492544
- 138213376000 is an abundant number, because the sum of its proper divisors (270064492544) is greater than itself. Its abundance is 131851116544
Bases of 138213376000
- Binary: 100000001011100010100011000000000000002
- Hexadecimal: 0x202E28C000
- Base-36: 1RHSOBGG
Squares and roots of 138213376000
- 138213376000 squared (1382133760002) is 19102937305317376000000
- 138213376000 cubed (1382133760003) is 2640281456484257288421376000000000
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The
square root of 138213376000 is 371770.5959324917 -
The
cube root of 138213376000 is 5170.3112922343
Scales and comparisons
How big is 138213376000?- 138,213,376,000 seconds is equal to 4,394 years, 39 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,213,376,000 would take you about eight thousand, seven hundred eighty-nine 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 138213376000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138213376000
- 138213376000 backwards is 000673312831
- The number of decimal digits it has is: 12
- The sum of 138213376000's digits is 34
- More coming soon!
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