138348067000
138,348,067,000 is an even composite number composed of seven prime numbers multiplied together.
138348067000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 138348067000:
23 × 53 × 11 × 13 × 29 × 73 × 457
(2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 29 × 73 × 457)See below for interesting mathematical facts about the number 138348067000 from the Numbermatics database.
Names of 138348067000
- Cardinal: 138348067000 can be written as One hundred thirty-eight billion, three hundred forty-eight million, sixty-seven thousand.
Scientific notation
- Scientific notation: 1.38348067 × 1011
Factors of 138348067000
Divisors of 138348067000
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 8 10 11 13 20 22 25 26 29 40 44 50 52 55 58 65 73 88 100 104 110 116 125 130 143 145 146 200 220 232 250 260 275 286 290 292 319 325 365 377 440 457 500 520 550 572 580 584 638 650 715 725 730 754 803 914 949 1000 1100 1144 1160 1276 1300 1375 1430 1450 1460 1508 1595 1606 1625 1825 1828 1885 1898 2117 2200 2285 2552 2600 2750 2860 2900 2920 3016 3190 3212 3250 3575 3625 3650 3656 3770 3796 4015 4147 4234 4570 4745 5027 5500 5720 5800 5941 6380 6424 6500 7150 7250 7300 7540 7592 7975 8030 8294 8468 9125 9140 9425 9490 10054 10439 10585 11000 11425 11882 12760 13000 13253 14300 14500 14600 15080 15950 16060 16588 16936 17875 18250 18280 18850 18980 20075 20108 20735 20878 21170 22850 23287 23725 23764 25135 26506 27521 28600 29000 29705 31900 32120 33176 33361 35750 36500 37700 37960 39875 40150 40216 41470 41756 42340 45700 46574 47125 47450 47528 50270 52195 52925 53012 55042 57125 59410 63800 65351 66265 66722 71500 73000 75400 79750 80300 82940 83512 84680 91400 93148 94250 94900 100375 100540 103675 104390 105850 106024 110084 114250 116435 118625 118820 125675 130702 132530 133444 137605 143000 145783 148525 159500 160600 165880 166805 172289 186296 188500 189800 200750 201080 207350 208780 211700 220168 228500 232870 237250 237640 251350 260975 261404 264625 265060 266888 275210 291566 297050 302731 319000 326755 331325 333610 344578 366971 377000 401500 414700 417560 423400 433693 457000 465740 474500 502700 518375 521950 522808 529250 530120 550420 582175 583132 594100 605462 628375 653510 662650 667220 688025 689156 728915 733942 742625 803000 829400 834025 861445 867386 931480 949000 967469 1005400 1036750 1043900 1058500 1100840 1164350 1166264 1188200 1210924 1256750 1304875 1307020 1325300 1334440 1376050 1378312 1457830 1467884 1485250 1513655 1633775 1656625 1668050 1722890 1734772 1834855 1895179 1934938 2073500 2087800 2117000 2168465 2328700 2421848 2513500 2609750 2614040 2650600 2752100 2910875 2915660 2935768 2970500 3027310 3267550 3313250 3336100 3440125 3445780 3469544 3644575 3669710 3790358 3869876 4147000 4170125 4307225 4336930 4657400 4770623 4837345 5027000 5219500 5504200 5821750 5831320 5941000 6054620 6535100 6626500 6672200 6880250 6891560 7289150 7339420 7568275 7580716 7739752 8168875 8340250 8614450 8673860 9174275 9475895 9541246 9674690 10439000 10642159 10842325 11643500 12109240 12577097 13070200 13253000 13760500 14578300 14678840 15136550 15161432 16337750 16680500 17228900 17347720 18222875 18348550 18951790 19082492 19349380 21284318 21536125 21684650 23287000 23853115 24186725 25154194 27521000 29156600 30273100 32675500 33361000 34457800 36445750 36697100 37841375 37903580 38164984 38698760 42568636 43072250 43369300 45871375 47379475 47706230 48373450 50308388 53210795 54211625 60546200 62885485 65351000 72891500 73394200 75682750 75807160 85137272 86144500 86738600 91742750 94758950 95412460 96746900 100616776 106421590 108423250 119265575 120933625 125770970 138348067 145783000 151365500 172289000 183485500 189517900 190824920 193493800 212843180 216846500 236897375 238531150 241867250 251541940 266053975 276696134 302731000 314427425 366971000 379035800 425686360 433693000 473794750 477062300 483734500 503083880 532107950 553392268 596327875 628854850 691740335 947589500 954124600 967469000 1064215900 1106784536 1192655750 1257709700 1330269875 1383480670 1572137125 1895179000 2128431800 2385311500 2515419400 2660539750 2766961340 3144274250 3458701675 4770623000 5321079500 5533922680 6288548500 6917403350 10642159000 12577097000 13834806700 17293508375 27669613400 34587016750 69174033500 138348067000
- Sum of all divisors σ(n): 399708691200
- Sum of proper divisors (its aliquot sum) s(n): 261360624200
- 138348067000 is an abundant number, because the sum of its proper divisors (261360624200) is greater than itself. Its abundance is 123012557200
Bases of 138348067000
- Binary: 100000001101100010111111111000101110002
- Hexadecimal: 0x20362FF8B8
- Base-36: 1RK0V7P4
Squares and roots of 138348067000
- 138348067000 squared (1383480670002) is 19140187642636489000000
- 138348067000 cubed (1383480670003) is 2648007962376045036816763000000000
-
The
square root of 138348067000 is 371951.6998213613 -
The
cube root of 138348067000 is 5171.9902621605
Scales and comparisons
How big is 138348067000?- 138,348,067,000 seconds is equal to 4,399 years, 2 weeks, 18 hours, 36 minutes, 40 seconds.
-
To count from 1 to 138,348,067,000 would take you about eight thousand, seven hundred ninety-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 138348067000 cubic inches would be around 431 feet tall.
Recreational maths with 138348067000
- 138348067000 backwards is 000760843831
- 138348067000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138348067000's digits is 40
- More coming soon!
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