138903427438240
138,903,427,438,240 is an even composite number composed of seven prime numbers multiplied together.
138903427438240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138903427438240:
25 × 5 × 37 × 61 × 181 × 449 × 4733
(2 × 2 × 2 × 2 × 2 × 5 × 37 × 61 × 181 × 449 × 4733)See below for interesting mathematical facts about the number 138903427438240 from the Numbermatics database.
Names of 138903427438240
- Cardinal: 138903427438240 can be written as One hundred thirty-eight trillion, nine hundred three billion, four hundred twenty-seven million, four hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3890342743824 × 1014
Factors of 138903427438240
Divisors of 138903427438240
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 61 74 80 122 148 160 181 185 244 296 305 362 370 449 488 592 610 724 740 898 905 976 1184 1220 1448 1480 1796 1810 1952 2245 2257 2440 2896 2960 3592 3620 4490 4514 4733 4880 5792 5920 6697 7184 7240 8980 9028 9466 9760 11041 11285 13394 14368 14480 16613 17960 18056 18932 22082 22570 23665 26788 27389 28960 33226 33485 35920 36112 37864 44164 45140 47330 53576 54778 55205 66452 66970 71840 72224 75728 81269 83065 88328 90280 94660 107152 109556 110410 132904 133940 136945 151456 162538 166130 175121 176656 180560 189320 214304 219112 220820 265808 267880 273890 288713 325076 332260 350242 353312 361120 378640 406345 408517 438224 441640 531616 535760 547780 577426 650152 664520 700484 757280 812690 817034 856673 875605 876448 883280 1013393 1071520 1095560 1154852 1300304 1329040 1400968 1443565 1625380 1634068 1713346 1751210 1766560 2026786 2042585 2125117 2191120 2309704 2600608 2658080 2801936 2887130 3006953 3250760 3268136 3426692 3502420 4053572 4085170 4250234 4283365 4382240 4619408 4957409 5066965 5603872 5774260 6013906 6501520 6536272 6853384 7004840 8107144 8170340 8500468 8566730 9238816 9914818 10133930 10625585 10682381 11548520 12027812 13003040 13072544 13706768 14009680 15034765 16214288 16340680 17000936 17133460 19829636 20267860 21251170 21364762 23097040 24055624 24787045 27413536 28019360 30069530 31696901 32428576 32681360 34001872 34266920 39659272 40535720 42502340 42729524 46194080 48111248 49574090 52257053 53411905 60139060 63393802 65362720 68003744 68533840 78629329 79318544 81071440 85004680 85459048 96222496 99148180 104514106 106823810 120278120 126787604 129632137 137067680 157258658 158484505 158637088 162142880 170009360 170918096 183424133 198296360 209028212 213647620 240556240 253575208 259264274 261285265 314517316 316969010 340018720 341836192 366848266 384646177 393146645 396592720 418056424 427295240 481112480 507150416 518528548 522570530 629034632 633938020 648160685 733696532 769292354 786293290 793185440 836112848 854590480 917120665 1014300832 1037057096 1045141060 1258069264 1267876040 1296321370 1467393064 1538584708 1572586580 1672225696 1709180960 1834241330 1923230885 1933510961 2074114192 2090282120 2516138528 2535752080 2592642740 2934786128 3077169416 3145173160 3668482660 3846461770 3867021922 4148228384 4180564240 4796389069 5071504160 5185285480 5869572256 6154338832 6290346320 7336965320 7692923540 7734043844 8361128480 9592778138 9667554805 10370570960 12308677664 12580692640 14231908549 14673930640 15385847080 15468087688 19185556276 19335109610 20741141920 23463416797 23981945345 28463817098 29347861280 30771694160 30936175376 38371112552 38670219220 46926833594 47963890690 56927634196 61543388320 61872350752 71159542745 76742225104 77340438440 93853667188 95927781380 113855268392 117317083985 142319085490 153484450208 154680876880 187707334376 191855562760 227710536784 234634167970 284638170980 309361753760 375414668752 383711125520 455421073568 469268335940 569276341960 750829337504 767422251040 868146421489 938536671880 1138552683920 1736292842978 1877073343760 2277105367840 3472585685956 3754146687520 4340732107445 6945171371912 8681464214890 13890342743824 17362928429780 27780685487648 34725856859560 69451713719120 138903427438240
- Sum of all divisors σ(n): 345286215892800
- Sum of proper divisors (its aliquot sum) s(n): 206382788454560
- 138903427438240 is an abundant number, because the sum of its proper divisors (206382788454560) is greater than itself. Its abundance is 67479361016320
Bases of 138903427438240
- Binary: 111111001010100111110010111001101010110101000002
- Hexadecimal: 0x7E54F97356A0
- Base-36: 1D8JCQBE74
Squares and roots of 138903427438240
- 138903427438240 squared (1389034274382402) is 19294162154090404889014297600
- 138903427438240 cubed (1389034274382403) is 2680025252752332929310219627199500980224000
-
The
square root of 138903427438240 is 11785729.8220449633 -
The
cube root of 138903427438240 is 51789.0153556431
Scales and comparisons
How big is 138903427438240?- 138,903,427,438,240 seconds is equal to 4,416,699 years, 17 weeks, 3 days, 7 hours, 30 minutes, 40 seconds.
-
To count from 1 to 138,903,427,438,240 would take you about eleven million, forty-one thousand, seven hundred forty-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 138903427438240 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138903427438240
- 138903427438240 backwards is 042834724309831
- The number of decimal digits it has is: 15
- The sum of 138903427438240's digits is 58
- More coming soon!
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