138270664000
138,270,664,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138270664000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138270664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138270664000:
26 × 53 × 7 × 23 × 31 × 3463
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 23 × 31 × 3463)See below for interesting mathematical facts about the number 138270664000 from the Numbermatics database.
Names of 138270664000
- Cardinal: 138270664000 can be written as One hundred thirty-eight billion, two hundred seventy million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38270664 × 1011
Factors of 138270664000
Divisors of 138270664000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 31 32 35 40 46 50 56 62 64 70 80 92 100 112 115 124 125 140 155 160 161 175 184 200 217 224 230 248 250 280 310 320 322 350 368 400 434 448 460 496 500 560 575 620 644 700 713 736 775 800 805 868 875 920 992 1000 1085 1120 1150 1240 1288 1400 1426 1472 1550 1600 1610 1736 1750 1840 1984 2000 2170 2240 2300 2480 2576 2800 2852 2875 3100 3220 3463 3472 3500 3565 3680 3875 4000 4025 4340 4600 4960 4991 5152 5425 5600 5704 5750 6200 6440 6926 6944 7000 7130 7360 7750 8000 8050 8680 9200 9920 9982 10304 10850 11200 11408 11500 12400 12880 13852 13888 14000 14260 15500 16100 17315 17360 17825 18400 19964 20125 21700 22816 23000 24241 24800 24955 25760 27125 27704 28000 28520 31000 32200 34630 34720 35650 36800 39928 40250 43400 45632 46000 48482 49600 49910 51520 54250 55408 56000 57040 62000 64400 69260 69440 71300 79649 79856 80500 86575 86800 89125 92000 96964 99820 107353 108500 110816 114080 121205 124000 124775 128800 138520 142600 159298 159712 161000 173150 173600 178250 184000 193928 199640 214706 217000 221632 228160 242410 248000 249550 257600 277040 285200 318596 319424 322000 346300 347200 356500 387856 398245 399280 429412 432875 434000 484820 499100 536765 554080 557543 570400 606025 623875 637192 644000 692600 713000 751471 775712 796490 798560 858824 865750 868000 969640 998200 1073530 1108160 1115086 1140800 1212050 1247750 1274384 1288000 1385200 1426000 1502942 1551424 1592980 1597120 1717648 1731500 1736000 1939280 1991225 1996400 2147060 2230172 2424100 2469119 2495500 2548768 2683825 2770400 2787715 2852000 3005884 3030125 3185960 3435296 3463000 3757355 3878560 3982450 3992800 4294120 4460344 4848200 4938238 4991000 5097536 5367650 5540800 5575430 5704000 6011768 6060250 6371920 6870592 6926000 7514710 7757120 7964900 7985600 8588240 8920688 9696400 9876476 9956125 9982000 10735300 11150860 12023536 12120500 12345595 12743840 13419125 13852000 13938575 15029420 15929800 17176480 17283833 17841376 18786775 19392800 19752952 19912250 19964000 21470600 22301720 24047072 24241000 24691190 25487680 26838250 27704000 27877150 30058840 31859600 34352960 34567666 35682752 37573550 38785600 39505904 39824500 39928000 42941200 44603440 48094144 48482000 49382380 53676500 55754300 60117680 61727975 63719200 69135332 69692875 75147100 79011808 79649000 85882400 86419165 89206880 93933875 96964000 98764760 107353000 111508600 120235360 123455950 127438400 138270664 139385750 150294200 158023616 159298000 171764800 172838330 178413760 187867750 193928000 197529520 214706000 223017200 240470720 246911900 276541328 278771500 300588400 308639875 318596000 345676660 375735500 395059040 429412000 432095825 446034400 493823800 553082656 557543000 601176800 617279750 637192000 691353320 751471000 790118080 858824000 864191650 892068800 987647600 1106165312 1115086000 1202353600 1234559500 1382706640 1502942000 1728383300 1975295200 2160479125 2230172000 2469119000 2765413280 3005884000 3456766600 3950590400 4320958250 4460344000 4938238000 5530826560 6011768000 6913533200 8641916500 9876476000 13827066400 17283833000 19752952000 27654132800 34567666000 69135332000 138270664000
- Sum of all divisors σ(n): 421655150592
- Sum of proper divisors (its aliquot sum) s(n): 283384486592
- 138270664000 is an abundant number, because the sum of its proper divisors (283384486592) is greater than itself. Its abundance is 145113822592
Bases of 138270664000
- Binary: 100000001100011001001011100101010000002
- Hexadecimal: 0x203192E540
- Base-36: 1RIQS75S
Squares and roots of 138270664000
- 138270664000 squared (1382706640002) is 19118776523000896000000
- 138270664000 cubed (1382706640003) is 2643565924702945162514944000000000
-
The
square root of 138270664000 is 371847.6354637745 -
The
cube root of 138270664000 is 5171.0255402273
Scales and comparisons
How big is 138270664000?- 138,270,664,000 seconds is equal to 4,396 years, 30 weeks, 21 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,270,664,000 would take you about eight thousand, seven hundred ninety-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 138270664000 cubic inches would be around 430.9 feet tall.
Recreational maths with 138270664000
- 138270664000 backwards is 000466072831
- The number of decimal digits it has is: 12
- The sum of 138270664000's digits is 37
- More coming soon!
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