138344131520

Names of 138344131520

• Cardinal: 138344131520 can be written as One hundred thirty-eight billion, three hundred forty-four million, one hundred thirty-one thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3834413152 × 10¹¹

Factors of 138344131520

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 231

Divisors of 138344131520

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 23 28 31 32 35 38 40 46 47 56 62 64 70 76 80 92 94 95 97 112 115 124 133 140 152 155 160 161 184 188 190 194 217 224 230 235 248 266 280 304 310 320 322 329 368 376 380 388 434 437 448 460 470 485 496 532 560 589 608 620 644 658 665 679 713 736 752 760 776 805 868 874 893 920 940 970 992 1064 1081 1085 1120 1178 1216 1240 1288 1316 1330 1358 1426 1457 1472 1504 1520 1552 1610 1645 1736 1748 1786 1840 1843 1880 1940 1984 2128 2162 2170 2185 2231 2240 2356 2480 2576 2632 2660 2716 2852 2914 2945 3007 3008 3040 3059 3104 3220 3290 3395 3472 3496 3565 3572 3680 3686 3760 3880 4123 4256 4324 4340 4370 4462 4465 4559 4712 4960 4991 5152 5264 5320 5405 5432 5704 5828 5890 6014 6080 6118 6208 6251 6440 6580 6790 6944 6992 7130 7144 7285 7360 7372 7520 7567 7760 8246 8512 8648 8680 8740 8924 8930 9118 9215 9424 9920 9982 10199 10304 10528 10640 10810 10864 11155 11408 11656 11780 12028 12236 12502 12880 12901 13160 13547 13580 13888 13984 14260 14288 14570 14744 15035 15040 15134 15295 15520 15617 16492 17296 17360 17480 17848 17860 18236 18430 18848 19964 20398 20539 20615 21049 21056 21280 21620 21728 22310 22795 22816 23312 23560 24056 24472 24955 25004 25760 25802 26320 27094 27160 27683 27968 28520 28576 29140 29488 30070 30268 30590 31040 31234 31255 31913 32984 33511 34592 34720 34960 35696 35720 36472 36860 37696 37835 39928 40796 41078 41230 42098 42389 42560 43240 43456 44620 45590 45632 46624 47120 48112 48944 49910 50008 50995 51520 51604 52640 54188 54320 55366 57040 57133 57152 58280 58976 60140 60536 61180 62468 62510 63826 64505 65968 67022 67735 69161 69184 69440 69920 71392 71440 72944 73720 75670 78085 79856 81592 82156 82460 84196 84778 86480 86621 89240 91180 93248 94240 94829 96224 97888 99820 100016 101990 102695 103208 104857 105245 105280 108376 108640 110732 114080 114266 116560 117952 120280 121072 122360 124936 125020 127652 129010 131936 134044 135470 138322 138415 139840 141329 142784 142880 143773 145888 147440 151340 156170 159565 159712 163184 164312 164920 167555 168392 169556 172960 173242 178480 182360 188480 189658 192448 193781 195776 199640 200032 203980 205390 206416 209714 210490 211945 216752 217280 221464 228160 228532 233120 234577 240560 242144 244720 249872 250040 255304 258020 263872 268088 270940 276644 276830 282658 285665 285760 287546 291776 294880 296723 302680 312340 319130 319424 326368 328624 329840 335110 336784 339112 345805 345920 346484 356960 364720 379316 387562 399280 399931 400064 407960 410780 412832 419428 420980 423890 433105 433504 442928 457064 466240 469154 474145 481120 484127 484288 489440 499744 500080 510608 516040 524285 536176 541880 553288 553660 565316 571330 575092 589760 593446 605360 606347 624680 636709 638260 652736 657248 659680 670220 673568 678224 691610 692968 706645 713920 718865 729440 733999 758632 775124 798560 799862 815920 821560 825664 838856 841960 847780 866210 867008 885856 914128 938308 948290 962240 968254 968905 978880 989303 999488 1000160 1021216 1032080 1048570 1072352 1083760 1106576 1107320 1130632 1142660 1150184 1172885 1186892 1210720 1212694 1249360 1273418 1276520 1314059 1314496 1319360 1340440 1347136 1356448 1383220 1385936 1413290 1437730 1458880 1467998 1483615 1517264 1550248 1597120 1599724 1631840 1643120 1677712 1683920 1695560 1732420 1771712 1828256 1876616 1896580 1936508 1937810 1978606 1992283 1999655 2000320 2042432 2064160 2097140 2144704 2167520 2213152 2214640 2261264 2285320 2300368 2345770 2373784 2420635 2421440 2425388 2498720 2546836 2553040 2628118 2680880 2685251 2712896 2766440 2771872 2826580 2875460 2935996 2967230 3031735 3034528 3100496 3183545 3199448 3250567 3263680 3286240 3355424 3367840 3391120 3464840 3656512 3669995 3753232 3793160 3873016 3875620 3957212 3984566 3999310 4128320 4194280 4335040 4426304 4429280 4456963 4522528 4570640 4600736 4691540 4747568 4841270 4850776 4946515 4997440 5093672 5106080 5256236 5361760 5370502 5532880 5543744 5653160 5750920 5871992 5934460 6063470 6069056 6200992 6367090 6398896 6501134 6570295 6572480 6710848 6735680 6782240 6929680 7339990 7506464 7586320 7746032 7751240 7914424 7969132 7998620 8388560 8858560 8913926 9045056 9141280 9198413 9201472 9383080 9495136 9682540 9701552 9893030 9961415 10187344 10212160 10512472 10723520 10741004 11065760 11306320 11501840 11743984 11868920 12126940 12401984 12734180 12797792 13002268 13140590 13426255 13564480 13859360 13945981 14679980 15012928 15172640 15492064 15502480 15828848 15938264 15997240 16252835 16777120 17827852 18282560 18396826 18766160 18796757 18990272 19365080 19403104 19786060 19922830 20374688 21024944 21482008 22131520 22284815 22612640 22753969 23003680 23487968 23737840 24253880 25468360 25595584 26004536 26281180 26852510 27718720 27891962 29359960 30345280 30984128 31004960 31657696 31876528 31994480 32505670 33554240 35655704 36793652 37532320 37593514 38730160 38806208 39572120 39845660 40749376 42049888 42964016 44569630 45225280 45507938 45992065 46007360 46975936 47475680 48507760 50936720 52009072 52562360 53705020 55783924 58719920 61760773 62009920 63315392 63753056 63988960 65011340 69729905 71311408 73587304 75064640 75187028 77460320 79144240 79691320 84099776 85928032 89139260 91015876 91984130 93983785 94951360 97015520 101873440 104018144 105124720 107410040 111567848 113769845 117439840 123521546 127506112 127977920 130022680 139459810 142622816 147174608 150374056 154920640 158288480 159382640 171856064 178278520 182031752 183968260 187967570 194031040 203746880 208036288 210249440 214820080 223135696 227539690 234879680 247043092 260045360 278919620 285245632 294349216 300748112 308803865 316576960 318765280 356557040 364063504 367936520 375935140 420498880 429640160 432325411 446271392 455079380 494086184 520090720 557839240 588698432 601496224 617607730 637530560 713114080 728127008 735873040 751870280 859280320 864650822 892542784 910158760 988172368 1040181440 1115678480 1202992448 1235215460 1426228160 1456254016 1471746080 1503740560 1729301644 1820317520 1976344736 2161627055 2231356960 2470430920 2943492160 3007481120 3458603288 3640635040 3952689472 4323254110 4462713920 4940861840 6014962240 6917206576 7281270080 8646508220 9881723680 13834413152 17293016440 19763447360 27668826304 34586032880 69172065760 138344131520
• Sum of all divisors σ(n): 440456970240
• Sum of proper divisors (its aliquot sum) s(n): 302112838720
• 138344131520 is an abundant number, because the sum of its proper divisors (302112838720) is greater than itself. Its abundance is 163768707200

Bases of 138344131520

• Binary: 10000000110101111100111110101111000000₂
• Hexadecimal: 0x2035F3EBC0
• Base-36: 1RJYIV28

Squares and roots of 138344131520

• 138344131520 squared (138344131520²) is 19139098726023057510400
• 138344131520 cubed (138344131520³) is 2647781991327198314771301367808000
• The square root of 138344131520 is 371946.4094731927
• The cube root of 138344131520 is 5171.9412204989

Scales and comparisons

• 138,344,131,520 seconds is equal to 4,398 years, 47 weeks, 4 days, 5 hours, 25 minutes, 20 seconds.
• To count from 1 to 138,344,131,520 would take you about eight thousand, seven hundred ninety-seven 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 138344131520 cubic inches would be around 431 feet tall.

Recreational maths with 138344131520

• 138344131520 backwards is 025131443831
• 138344131520 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138344131520's digits is 35
• More coming soon!