138758146846720

Names of 138758146846720

• Cardinal: 138758146846720 can be written as One hundred thirty-eight trillion, seven hundred fifty-eight billion, one hundred forty-six million, eight hundred forty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3875814684672 × 10¹⁴

Factors of 138758146846720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 124977

Divisors of 138758146846720

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 103 124 128 136 155 160 170 206 248 256 272 310 320 340 412 496 512 515 527 544 620 640 680 824 992 1024 1030 1054 1088 1240 1280 1360 1648 1751 1984 2048 2060 2108 2176 2480 2560 2635 2720 3193 3296 3502 3968 4096 4120 4216 4352 4960 5120 5270 5440 6386 6592 7004 7936 8240 8432 8704 8755 9920 10240 10540 10880 12772 13184 14008 15872 15965 16480 16864 17408 17510 19840 20480 21080 21760 25544 26368 28016 31744 31930 32960 33728 34816 35020 39680 42160 43520 51088 52736 54281 56032 63488 63860 65920 67456 69632 70040 79360 84320 87040 102176 105472 108562 112064 124819 126976 127720 131840 134912 140080 158720 168640 174080 204352 210944 217124 224128 249638 255440 263680 269824 271405 280160 317440 337280 348160 408704 421888 434248 448256 499276 510880 527360 539648 542810 560320 624095 634880 674560 817408 868496 896512 998552 1021760 1054720 1079296 1085620 1120640 1248190 1349120 1634816 1736992 1793024 1997104 2043520 2109440 2121923 2158592 2171240 2241280 2496380 2698240 3269632 3473984 3586048 3869389 3994208 4087040 4243846 4342480 4482560 4992760 5396480 6539264 6947968 7172096 7738778 7988416 8174080 8487692 8684960 8965120 9985520 10609615 10792960 12856357 13078528 13895936 15477556 15976832 16348160 16975384 17369920 17930240 19346945 19971040 21219230 25712714 27791872 30955112 31953664 32696320 33950768 34739840 35860480 38693890 39942080 42438460 51425428 55583744 61910224 63907328 64281785 65392640 65779613 67901536 69479680 77387780 79884160 84876920 102850856 111167488 123820448 127814656 128563570 131559226 135803072 138959360 154775560 159768320 169753840 205701712 218558069 222334976 247640896 255629312 257127140 263118452 271606144 277918720 309551120 319536640 328898065 339507680 398547067 411403424 437116138 495281792 511258624 514254280 526236904 543212288 555837440 619102240 639073280 657796130 679015360 797094134 822806848 874232276 990563584 1028508560 1052473808 1086424576 1092790345 1111674880 1238204480 1278146560 1315592260 1358030720 1594188268 1645613696 1748464552 1981127168 1992735335 2057017120 2104947616 2172849152 2185580690 2476408960 2556293120 2631184520 2716061440 3188376536 3291227392 3496929104 3962254336 3985470670 4114034240 4209895232 4345698304 4371161380 4952817920 5262369040 5432122880 6376753072 6582454784 6775300139 6993858208 7924508672 7970941340 8228068480 8419790464 8691396608 8742322760 9905635840 10524738080 10864245760 12753506144 13164909568 13550600278 13987716416 15849017344 15941882680 16456136960 16839580928 17484645520 19811271680 21049476160 21728491520 25507012288 26329819136 27101200556 27975432832 31883765360 32912273920 33679161856 33876500695 34969291040 39622543360 42098952320 43456983040 51014024576 52659638272 54202401112 55950865664 63767530720 65824547840 67358323712 67753001390 69938582080 79245086720 84197904640 102028049152 108404802224 111901731328 127535061440 131649095680 134716647424 135506002780 139877164160 168395809280 204056098304 216809604448 223803462656 255070122880 263298191360 269433294848 271012005560 279754328320 336791618560 408112196608 433619208896 447606925312 510140245760 542024011120 559508656640 673583237120 816224393216 867238417792 895213850624 1020280491520 1084048022240 1119017313280 1347166474240 1632448786432 1734476835584 2040560983040 2168096044480 2238034626560 3468953671168 4081121966080 4336192088960 4476069253120 6937907342336 8162243932160 8672384177920 13875814684672 17344768355840 27751629369344 34689536711680 69379073423360 138758146846720
• Sum of all divisors σ(n): 367475320442880
• Sum of proper divisors (its aliquot sum) s(n): 228717173596160
• 138758146846720 is an abundant number, because the sum of its proper divisors (228717173596160) is greater than itself. Its abundance is 89959026749440

Bases of 138758146846720

• Binary: 11111100011001100100110000011010111000000000000₂
• Hexadecimal: 0x7E33260D7000
• Base-36: 1D6OM204CG

Squares and roots of 138758146846720

• 138758146846720 squared (138758146846720²) is 19253823316335911479174758400
• 138758146846720 cubed (138758146846720³) is 2671624843088939868478350053228777832448000
• The square root of 138758146846720 is 11779564.7986977855
• The cube root of 138758146846720 is 51770.9534940747

Scales and comparisons

• 138,758,146,846,720 seconds is equal to 4,412,079 years, 44 weeks, 5 days, 23 hours, 38 minutes, 40 seconds.
• To count from 1 to 138,758,146,846,720 would take you about eleven million, thirty thousand, one hundred ninety-nine 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 138758146846720 cubic inches would be around 4314.2 feet tall.

Recreational maths with 138758146846720

• 138758146846720 backwards is 027648641857831
• The number of decimal digits it has is: 15
• The sum of 138758146846720's digits is 70
• More coming soon!