138134676960
138,134,676,960 is an even composite number composed of seven prime numbers multiplied together.
138134676960 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 138134676960:
25 × 32 × 5 × 72 × 23 × 47 × 1811
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 23 × 47 × 1811)See below for interesting mathematical facts about the number 138134676960 from the Numbermatics database.
Names of 138134676960
- Cardinal: 138134676960 can be written as One hundred thirty-eight billion, one hundred thirty-four million, six hundred seventy-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3813467696 × 1011
Factors of 138134676960
Divisors of 138134676960
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 28 30 32 35 36 40 42 45 46 47 48 49 56 60 63 69 70 72 80 84 90 92 94 96 98 105 112 115 120 126 138 140 141 144 147 160 161 168 180 184 188 196 207 210 224 230 235 240 245 252 276 280 282 288 294 315 322 329 336 345 360 368 376 392 414 420 423 441 460 470 480 483 490 504 552 560 564 588 630 644 658 672 690 705 720 735 736 752 784 805 828 840 846 882 920 940 966 980 987 1008 1035 1081 1104 1120 1127 1128 1176 1260 1288 1316 1380 1410 1440 1449 1470 1504 1568 1610 1645 1656 1680 1692 1764 1811 1840 1880 1932 1960 1974 2016 2070 2115 2162 2205 2208 2254 2256 2303 2352 2415 2520 2576 2632 2760 2820 2898 2940 2961 3220 3243 3290 3312 3360 3381 3384 3528 3622 3680 3760 3864 3920 3948 4140 4230 4324 4410 4508 4512 4606 4704 4830 4935 5040 5152 5264 5405 5433 5520 5635 5640 5796 5880 5922 6440 6486 6580 6624 6762 6768 6909 7056 7244 7245 7520 7567 7728 7840 7896 8280 8460 8648 8820 9016 9055 9212 9660 9729 9870 10080 10143 10528 10810 10866 11040 11270 11280 11515 11592 11760 11844 12677 12880 12972 13160 13524 13536 13818 14112 14488 14490 14805 15134 15456 15792 16215 16299 16560 16905 16920 17296 17640 18032 18110 18424 19320 19458 19740 20286 20727 21620 21732 22540 22560 22701 23030 23184 23520 23688 25354 25760 25944 26320 27048 27165 27636 28976 28980 29610 30268 31584 32430 32598 33120 33810 33840 34545 34592 35280 36064 36220 36848 37835 38031 38640 38916 39480 40572 41454 41653 43240 43464 45080 45402 46060 46368 47376 48645 50708 50715 51888 52640 52969 54096 54330 55272 57952 57960 59220 60536 63385 64860 65196 67620 67680 68103 69090 70560 72440 73696 75670 76062 77280 77832 78960 81144 81495 82908 83306 85117 86480 86928 88739 90160 90804 92120 94752 97290 101416 101430 103635 103776 105938 108192 108660 110544 113505 114093 115920 118440 121072 124959 126770 129720 130392 135240 136206 138180 144880 151340 152124 155664 157920 158907 162288 162990 165816 166612 170234 172960 173856 177478 180320 181608 184240 190155 194580 202832 202860 207270 208265 211876 217320 221088 227010 228186 231840 236880 242144 249918 253540 255351 259440 260784 264845 266217 270480 272412 276360 289760 291571 302680 304248 311328 317814 324576 325980 331632 333224 340468 340515 354956 363216 368480 374877 380310 389160 405664 405720 414540 416530 423752 425585 434640 443695 454020 456372 473760 476721 499836 507080 510702 518880 521568 529690 532434 540960 544824 552720 570465 583142 595819 605360 608496 624795 635628 651960 663264 666448 680936 681030 709912 726432 749754 760620 766053 778320 794535 798651 811440 829080 833060 847504 851170 869280 874713 887390 908040 912744 953442 999672 1014160 1021404 1059380 1064868 1089648 1105440 1140930 1166284 1191638 1210720 1216992 1249590 1271256 1276755 1303920 1331085 1332896 1361872 1362060 1419824 1457855 1499508 1521240 1532106 1556640 1589070 1597302 1622880 1658160 1666120 1695008 1702340 1749426 1774780 1787457 1816080 1825488 1874385 1906884 1957691 1999344 2028320 2040997 2042808 2118760 2129736 2179296 2281860 2332568 2383276 2383605 2499180 2542512 2553510 2607840 2624139 2662170 2723744 2724120 2839648 2915710 2979095 2999016 3042480 3064212 3178140 3194604 3316320 3332240 3404680 3498852 3549560 3574914 3632160 3650976 3748770 3813768 3830265 3915382 3993255 3998688 4081994 4085616 4170733 4237520 4259472 4373565 4563720 4665136 4766552 4767210 4998360 5085024 5107020 5248278 5324340 5362371 5448240 5831420 5873073 5958190 5998032 6084960 6122991 6128424 6356280 6389208 6664480 6809360 6997704 7099120 7149828 7497540 7627536 7660530 7830764 7986510 8163988 8171232 8341466 8475040 8518944 8747130 8937285 9127440 9330272 9533104 9534420 9788455 9996720 10204985 10214040 10496556 10648680 10724742 10896480 11662840 11746146 11916380 11996064 12245982 12256848 12512199 12712560 12778416 13120695 13618720 13703837 13995408 14198240 14299656 14995080 15255072 15321060 15661528 15973020 16327976 16682932 17494260 17619219 17874570 18254880 18368973 19066208 19068840 19576910 19993440 20409970 20428080 20853665 20993112 21297360 21449484 23325680 23492292 23832760 24491964 24513696 25024398 25425120 25556832 26241390 26811855 27407674 27990816 28599312 29365365 29990160 30614955 30642120 31323056 31946040 32655952 33365864 34988520 35238438 35749140 36737946 37536597 38137680 39153820 40819940 40856160 41111511 41707330 41986224 42594720 42898968 46651360 46984584 47665520 48983928 50048796 52482780 53623710 54815348 57198624 58730730 59980320 61229910 61284240 62560995 62646112 63892080 65311904 66731728 68519185 69977040 70476876 71498280 73475892 75073194 76275360 78307640 81639880 82223022 83414660 83972448 85797936 88096095 91844865 93969168 95331040 95926859 97967856 100097592 104965560 107247420 109630696 117461460 122459820 122568480 123334533 125121990 127784160 133463456 137038370 139954080 140953752 142996560 146951784 150146388 156615280 163279760 164446044 166829320 171595872 176192190 183689730 187682985 187938336 191853718 195935712 200195184 205557555 209931120 214494840 219261392 234922920 244919640 246669066 250243980 274076740 281907504 285993120 287780577 293903568 300292776 313230560 326559520 328892088 333658640 352384380 367379460 375365970 383707436 400390368 411115110 419862240 428989680 438522784 469845840 479634295 489839280 493338132 500487960 548153480 563815008 575561154 587807136 600585552 616672665 657784176 667317280 704768760 734758920 750731940 767414872 822230220 857979360 863341731 939691680 959268590 979678560 986676264 1000975920 1096306960 1151122308 1201171104 1233345330 1315568352 1409537520 1438902885 1469517840 1501463880 1534829744 1644460440 1726683462 1918537180 1973352528 2001951840 2192613920 2302244616 2466690660 2819075040 2877805770 2939035680 3002927760 3069659488 3288920880 3453366924 3837074360 3946705056 4316708655 4604489232 4933381320 5755611540 6005855520 6577841760 6906733848 7674148720 8633417310 9208978464 9866762640 11511223080 13813467696 15348297440 17266834620 19733525280 23022446160 27626935392 34533669240 46044892320 69067338480 138134676960
- Sum of all divisors σ(n): 584683287552
- Sum of proper divisors (its aliquot sum) s(n): 446548610592
- 138134676960 is an abundant number, because the sum of its proper divisors (446548610592) is greater than itself. Its abundance is 308413933632
Bases of 138134676960
- Binary: 100000001010010111011111100101111000002
- Hexadecimal: 0x202977E5E0
- Base-36: 1RGHTIW0
Squares and roots of 138134676960
- 138134676960 squared (1381346769602) is 19081188978843554841600
- 138134676960 cubed (1381346769603) is 2635773875605266722422459969536000
-
The
square root of 138134676960 is 371664.7373103883 -
The
cube root of 138134676960 is 5169.3297765491
Scales and comparisons
How big is 138134676960?- 138,134,676,960 seconds is equal to 4,392 years, 13 weeks, 1 day, 23 hours, 36 minutes.
-
To count from 1 to 138,134,676,960 would take you about eight thousand, seven hundred eighty-four 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 138134676960 cubic inches would be around 430.8 feet tall.
Recreational maths with 138134676960
- 138134676960 backwards is 069676431831
- The number of decimal digits it has is: 12
- The sum of 138134676960's digits is 54
- More coming soon!
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