138326088600
138,326,088,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138326088600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138326088600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138326088600:
23 × 32 × 52 × 72 × 53 × 127 × 233
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 53 × 127 × 233)See below for interesting mathematical facts about the number 138326088600 from the Numbermatics database.
Names of 138326088600
- Cardinal: 138326088600 can be written as One hundred thirty-eight billion, three hundred twenty-six million, eighty-eight thousand, six hundred.
Scientific notation
- Scientific notation: 1.383260886 × 1011
Factors of 138326088600
Divisors of 138326088600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 49 50 53 56 60 63 70 72 75 84 90 98 100 105 106 120 126 127 140 147 150 159 168 175 180 196 200 210 212 225 233 245 252 254 265 280 294 300 315 318 350 360 371 381 392 420 424 441 450 466 477 490 504 508 525 530 588 600 630 635 636 699 700 735 742 762 795 840 882 889 900 932 954 980 1016 1050 1060 1113 1143 1165 1176 1225 1260 1270 1272 1325 1398 1400 1470 1484 1524 1575 1590 1631 1764 1778 1800 1855 1864 1905 1908 1960 2097 2100 2120 2205 2226 2286 2330 2385 2450 2520 2540 2597 2650 2667 2796 2940 2968 3048 3150 3175 3180 3262 3339 3495 3528 3556 3675 3710 3810 3816 3975 4194 4200 4410 4445 4452 4572 4660 4770 4893 4900 5080 5194 5300 5334 5565 5592 5715 5825 5880 6223 6300 6350 6360 6524 6678 6731 6990 7112 7350 7420 7620 7791 7950 8001 8155 8388 8820 8890 8904 9144 9275 9320 9525 9540 9786 9800 10388 10485 10600 10668 11025 11130 11417 11430 11650 11925 12349 12446 12600 12700 12985 13048 13335 13356 13462 13980 14679 14700 14840 15240 15582 15900 16002 16310 16695 16776 17475 17640 17780 18550 18669 19050 19080 19572 20193 20776 20970 21336 22050 22225 22260 22834 22860 23300 23373 23850 24465 24698 24892 25400 25970 26670 26712 26924 27825 27960 28575 29358 29400 29591 31115 31164 31800 32004 32620 33390 33655 34251 34950 35560 37047 37100 37338 38100 38955 39144 40005 40386 40775 41940 44100 44450 44520 45668 45720 46600 46746 47117 47700 48930 49396 49784 51940 52425 53340 53848 55650 56007 57085 57150 58716 59182 60579 61745 62230 62328 64008 64925 65240 66675 66780 67310 68502 69900 73395 74094 74200 74676 76200 77910 80010 80772 81550 83475 83880 86443 88200 88773 88900 91336 93345 93492 94234 95400 97860 98792 100965 102753 103880 104850 106680 111141 111300 112014 114170 114300 116865 117432 118364 121158 122325 123490 124460 129850 133350 133560 134620 137004 139800 141351 146790 147955 148188 149352 155575 155820 160020 161544 163100 166950 168275 171255 172886 177546 177800 185235 186690 186984 188468 194775 195720 200025 201930 205506 207137 209700 222282 222600 224028 228340 228600 233730 235585 236728 242316 244650 246980 248920 259329 259700 266319 266700 269240 274008 280035 282702 285425 293580 295910 296376 302895 308725 311150 311640 320040 326200 329819 333900 336550 342510 345772 355092 366975 370470 373380 376936 389550 400050 403860 411012 414274 419400 424053 432215 443865 444564 448056 456680 466725 467460 471170 484632 489300 493960 504825 513765 518658 519400 532638 533400 555705 560070 565404 570850 584325 587160 591820 605101 605790 617450 621411 622300 659638 667800 673100 685020 691544 706755 710184 733950 739775 740940 746760 777987 779100 800100 807720 822024 828548 848106 856275 864430 887730 889128 926175 933450 934920 942340 978600 989457 1009650 1027530 1035685 1037316 1065276 1111410 1120140 1130808 1141700 1168650 1177925 1183640 1210202 1211580 1234900 1242822 1244600 1296645 1319276 1331595 1346200 1370040 1400175 1413510 1449959 1467900 1479550 1481880 1514475 1555974 1558200 1568323 1600200 1649095 1657096 1696212 1712550 1728860 1775460 1815303 1852350 1864233 1866900 1884680 1978914 2019300 2055060 2071370 2074632 2120265 2130552 2161075 2219325 2222820 2240280 2283400 2337300 2355850 2420404 2423160 2469800 2485644 2568825 2593290 2638552 2663190 2778525 2800350 2827020 2899918 2935800 2959100 2968371 3025505 3028950 3107055 3111948 3136646 3298190 3392424 3425100 3457720 3533775 3550920 3630606 3704700 3728466 3733800 3889935 3957828 4038600 4110120 4142740 4240530 4322150 4349877 4438650 4445640 4674600 4704969 4711700 4840808 4947285 4971288 5137650 5178425 5186580 5326380 5445909 5557050 5600700 5654040 5799836 5918200 5936742 6051010 6057900 6214110 6223896 6273292 6483225 6596380 6657975 6850200 7067550 7249795 7261212 7409400 7456932 7779870 7841615 7915656 8245475 8285480 8481060 8644300 8699754 8877300 9076515 9321165 9409938 9423400 9894570 10275300 10356850 10373160 10601325 10652760 10891818 10978261 11114100 11201400 11599672 11873484 12102020 12115800 12428220 12546584 12966450 13049631 13192760 13315950 14114907 14135100 14499590 14522424 14841855 14913864 15127525 15535275 15559740 15683230 16490950 16962120 17288600 17399508 17754600 18153030 18642330 18819876 19449675 19789140 20550600 20713700 21202650 21749385 21783636 21956522 22228200 23524845 23746968 24204040 24736425 24856440 25932900 26099262 26631900 27229545 28229814 28270200 28999180 29683710 30255050 31070550 31119480 31366460 32934783 32981900 34799016 36248975 36306060 37284660 37639752 38899350 39208075 39578280 41427400 42405300 43498770 43567272 43913044 45382575 46605825 47049690 49472850 51865800 52198524 53263800 54459090 54891305 56459628 57998360 59367420 60510100 62141100 62732920 65248155 65869566 65963800 70574535 72497950 72612120 74209275 74569320 76847827 77798700 78416150 84810600 86997540 87826088 90765150 93211650 94099380 98804349 98945700 104397048 108746925 108918180 109782610 112919256 117624225 118734840 121020200 124282200 130496310 131739132 136147725 141149070 144995900 148418550 153695654 155597400 156832300 164673915 173995080 181530300 186423300 188198760 197608698 197891400 217493850 217836360 219565220 230543481 235248450 260992620 263478264 272295450 274456525 282298140 289991800 296837100 307391308 313664600 326240775 329347830 352872675 363060600 372846600 384239135 395217396 434987700 439130440 461086962 470496900 494021745 521985240 544590900 548913050 564596280 593674200 614782616 652481550 658695660 691630443 705745350 768478270 790434792 823369575 869975400 922173924 940993800 988043490 1089181800 1097826100 1152717405 1304963100 1317391320 1383260886 1411490700 1536956540 1646739150 1844347848 1921195675 1976086980 2195652200 2305434810 2470108725 2609926200 2766521772 2822981400 3073913080 3293478300 3458152215 3842391350 3952173960 4610869620 4940217450 5533043544 5763587025 6586956600 6916304430 7684782700 9221739240 9880434900 11527174050 13832608860 15369565400 17290761075 19760869800 23054348100 27665217720 34581522150 46108696200 69163044300 138326088600
- Sum of all divisors σ(n): 557302187520
- Sum of proper divisors (its aliquot sum) s(n): 418976098920
- 138326088600 is an abundant number, because the sum of its proper divisors (418976098920) is greater than itself. Its abundance is 280650010320
Bases of 138326088600
- Binary: 100000001101001110000010011011100110002
- Hexadecimal: 0x2034E09B98
- Base-36: 1RJNS520
Squares and roots of 138326088600
- 138326088600 squared (1383260886002) is 19134106787375049960000
- 138326088600 cubed (1383260886003) is 2646746150752302522196386456000000
-
The
square root of 138326088600 is 371922.1539516031 -
The
cube root of 138326088600 is 5171.7163682221
Scales and comparisons
How big is 138326088600?- 138,326,088,600 seconds is equal to 4,398 years, 17 weeks, 5 days, 9 hours, 30 minutes.
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To count from 1 to 138,326,088,600 would take you about eight thousand, seven hundred ninety-six 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 138326088600 cubic inches would be around 431 feet tall.
Recreational maths with 138326088600
- 138326088600 backwards is 006880623831
- 138326088600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138326088600's digits is 45
- More coming soon!
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