138431082240
138,431,082,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 138431082240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138431082240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138431082240:
28 × 33 × 5 × 11 × 449 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 449 × 811)See below for interesting mathematical facts about the number 138431082240 from the Numbermatics database.
Names of 138431082240
- Cardinal: 138431082240 can be written as One hundred thirty-eight billion, four hundred thirty-one million, eighty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3843108224 × 1011
Factors of 138431082240
Divisors of 138431082240
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 128 132 135 144 160 165 176 180 192 198 216 220 240 256 264 270 288 297 320 330 352 360 384 396 432 440 449 480 495 528 540 576 594 640 660 704 720 768 792 811 864 880 898 960 990 1056 1080 1152 1188 1280 1320 1347 1408 1440 1485 1584 1622 1728 1760 1796 1920 1980 2112 2160 2245 2304 2376 2433 2640 2694 2816 2880 2970 3168 3244 3456 3520 3592 3840 3960 4041 4055 4224 4320 4490 4752 4866 4939 5280 5388 5760 5940 6336 6488 6735 6912 7040 7184 7299 7920 8082 8110 8448 8640 8921 8980 9504 9732 9878 10560 10776 11520 11880 12123 12165 12672 12976 13470 14080 14368 14598 14817 15840 16164 16220 17280 17842 17960 19008 19464 19756 20205 21120 21552 21897 23760 24246 24330 24695 25344 25952 26763 26940 28736 29196 29634 31680 32328 32440 34560 35684 35920 36495 38016 38928 39512 40410 42240 43104 43794 44451 44605 47520 48492 48660 49390 51904 53526 53880 57472 58392 59268 60615 63360 64656 64880 71368 71840 72990 74085 76032 77856 79024 80289 80820 86208 87588 88902 89210 95040 96984 97320 98780 103808 107052 107760 109485 114944 116784 118536 121230 126720 129312 129760 133353 133815 142736 143680 145980 148170 155712 158048 160578 161640 172416 175176 177804 178420 190080 193968 194640 197560 207616 214104 215520 218970 222255 233568 237072 240867 242460 258624 259520 266706 267630 285472 287360 291960 296340 311424 316096 321156 323280 344832 350352 355608 356840 364139 380160 387936 389280 395120 401445 428208 431040 437940 444510 467136 474144 481734 484920 517248 519040 533412 535260 570944 574720 583920 592680 622848 632192 642312 646560 666765 700704 711216 713680 728278 775872 778560 790240 802890 856416 862080 875880 889020 934272 948288 963468 969840 1034496 1038080 1066824 1070520 1092417 1141888 1167840 1185360 1204335 1264384 1284624 1293120 1333530 1401408 1422432 1427360 1456556 1551744 1557120 1580480 1605780 1712832 1724160 1751760 1778040 1820695 1868544 1896576 1926936 1939680 2133648 2141040 2184834 2283776 2335680 2370720 2408670 2569248 2586240 2667060 2802816 2844864 2854720 2913112 3103488 3114240 3160960 3211560 3277251 3425664 3503520 3556080 3641390 3793152 3853872 3879360 4005529 4267296 4282080 4369668 4671360 4741440 4817340 5138496 5172480 5334120 5462085 5605632 5689728 5709440 5826224 6321920 6423120 6554502 6851328 7007040 7112160 7282780 7707744 7758720 8011058 8534592 8564160 8739336 9342720 9482880 9634680 9831753 10276992 10668240 10924170 11379456 11418880 11652448 12016587 12846240 13109004 14014080 14224320 14565560 15415488 15517440 16022116 16386255 17069184 17128320 17478672 18965760 19269360 19663506 20027645 20553984 21336480 21848340 23304896 24033174 25692480 26218008 28028160 28448640 29131120 30830976 32044232 32772510 34138368 34256640 34957344 36049761 38538720 39327012 40055290 42672960 43696680 46609792 48066348 49158765 51384960 52436016 56897280 58262240 60082935 61661952 64088464 65545020 69914688 72099522 77077440 78654024 80110580 85345920 87393360 93219584 96132696 98317530 102769920 104872032 108149283 116524480 120165870 128176928 131090040 139829376 144199044 154154880 157308048 160221160 170691840 174786720 180248805 192265392 196635060 209744064 216298566 233048960 240331740 256353856 262180080 279658752 288398088 308309760 314616096 320442320 349573440 360497610 384530784 393270120 419488128 432597132 466097920 480663480 512707712 524360160 540746415 576796176 629232192 640884640 699146880 720995220 769061568 786540240 838976256 865194264 961326960 1025415424 1048720320 1081492830 1153592352 1258464384 1281769280 1398293760 1441990440 1538123136 1573080480 1730388528 1922653920 2097440640 2162985660 2307184704 2516928768 2563538560 2883980880 3076246272 3146160960 3460777056 3845307840 4194881280 4325971320 4614369408 5127077120 5767961760 6292321920 6921554112 7690615680 8651942640 9228738816 11535923520 12584643840 13843108224 15381231360 17303885280 23071847040 27686216448 34607770560 46143694080 69215541120 138431082240
- Sum of all divisors σ(n): 537751872000
- Sum of proper divisors (its aliquot sum) s(n): 399320789760
- 138431082240 is an abundant number, because the sum of its proper divisors (399320789760) is greater than itself. Its abundance is 260889707520
Bases of 138431082240
- Binary: 100000001110110010001010101111000000002
- Hexadecimal: 0x203B22AF00
- Base-36: 1RLEAIO0
Squares and roots of 138431082240
- 138431082240 squared (1384310822402) is 19163164530137643417600
- 138431082240 cubed (1384310822403) is 2652777605050135074461580263424000
-
The
square root of 138431082240 is 372063.2771989195 -
The
cube root of 138431082240 is 5173.0245331201
Scales and comparisons
How big is 138431082240?- 138,431,082,240 seconds is equal to 4,401 years, 35 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 138,431,082,240 would take you about eight thousand, eight hundred 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 138431082240 cubic inches would be around 431.1 feet tall.
Recreational maths with 138431082240
- 138431082240 backwards is 042280134831
- 138431082240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138431082240's digits is 36
- More coming soon!
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