138123354517300

Names of 138123354517300

• Cardinal: 138123354517300 can be written as One hundred thirty-eight trillion, one hundred twenty-three billion, three hundred fifty-four million, five hundred seventeen thousand, three hundred.

Scientific notation

• Scientific notation: 1.381233545173 × 10¹⁴

Factors of 138123354517300

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1385

Divisors of 138123354517300

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 10 17 20 25 29 34 41 50 58 68 82 85 100 116 145 164 170 205 290 340 410 425 493 580 697 725 820 850 986 1025 1189 1291 1394 1450 1681 1700 1972 2050 2378 2465 2582 2788 2900 3362 3485 4100 4756 4930 5164 5945 6455 6724 6970 8405 9860 11890 12325 12910 13940 16810 17425 20213 21947 23780 24650 25820 28577 29725 32275 33620 34850 37439 40426 42025 43894 48749 49300 52931 57154 59450 64550 69700 74878 80852 84050 87788 97498 101065 105862 109735 114308 118900 129100 142885 149756 168100 187195 194996 202130 211724 219470 243745 264655 285770 374390 404260 438940 487490 505325 529310 548675 571540 636463 714425 748780 828733 899827 935975 974980 1010650 1058620 1097350 1218725 1272926 1323275 1428850 1534999 1657466 1666681 1799654 1871950 2021300 2170171 2194700 2437450 2545852 2646550 2857700 3069998 3182315 3314932 3333362 3599308 3743900 4143665 4340342 4499135 4874900 5293100 6139996 6364630 6666724 7674995 8287330 8333405 8680684 8998270 10850855 12729260 15349990 15911575 16574660 16666810 17996540 20718325 21701710 22495675 26094983 28333577 30699980 31823150 33333620 36892907 38374975 41436650 41667025 43403420 44991350 48333749 52189966 54254275 56667154 62934959 63646300 68333921 73785814 76749950 82873300 83334050 89982700 96667498 104379932 108508550 113334308 125869918 130474915 136667842 141667885 147571628 153499900 166668100 184464535 193334996 217017100 241668745 251739836 260949830 273335684 283335770 314674795 341669605 368929070 483337490 521899660 566671540 629349590 652374575 683339210 708339425 737858140 821673733 922322675 966674980 1069894303 1161676657 1208343725 1258699180 1304749150 1366678420 1416678850 1573373975 1643347466 1708348025 1844645350 1981683709 2139788606 2323353314 2416687450 2609498300 2801690761 2833357700 3146747950 3286694932 3416696050 3689290700 3963367418 4108368665 4279577212 4646706628 4833374900 5349471515 5603381522 5808383285 6293495900 6833392100 7926734836 8216737330 9908418545 10698943030 11206763044 11616766570 14008453805 16433474660 19816837090 20541843325 21397886060 23233533140 26747357575 28016907610 29041916425 33688623053 39633674180 41083686650 47628742937 49542092725 53494715150 56033815220 58083832850 67377246106 70042269025 81249032069 82167373300 95257485874 99084185450 106989430300 116167665700 134754492212 140084538050 162498064138 168443115265 190514971748 198168370900 238143714685 280169076100 324996128276 336886230530 406245160345 476287429370 673772461060 812490320690 842215576325 952574858740 1190718573425 1381233545173 1624980641380 1684431152650 2031225801725 2381437146850 2762467090346 3368862305300 4062451603450 4762874293700 5524934180692 6906167725865 8124903206900 13812335451730 27624670903460 34530838629325 69061677258650 138123354517300
• Sum of all divisors σ(n): 336765650189220
• Sum of proper divisors (its aliquot sum) s(n): 198642295671920
• 138123354517300 is an abundant number, because the sum of its proper divisors (198642295671920) is greater than itself. Its abundance is 60518941154620

Bases of 138123354517300

• Binary: 11111011001111101011001011110110010111100110100₂
• Hexadecimal: 0x7D9F597B2F34
• Base-36: 1CYKZR1G6S

Squares and roots of 138123354517300

• 138123354517300 squared (138123354517300²) is 19078061063111738315999290000
• 138123354517300 cubed (138123354517300³) is 2635125791722879960923836027285092717000000
• The square root of 138123354517300 is 11752589.2686377841
• The cube root of 138123354517300 is 51691.8853506731

Scales and comparisons

• 138,123,354,517,300 seconds is equal to 4,391,895 years, 22 weeks, 2 days, 13 hours, 1 minute, 40 seconds.
• To count from 1 to 138,123,354,517,300 would take you about ten million, nine hundred seventy-nine thousand, seven hundred thirty-eight 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 138123354517300 cubic inches would be around 4307.7 feet tall.

Recreational maths with 138123354517300

• 138123354517300 backwards is 003715453321831
• The number of decimal digits it has is: 15
• The sum of 138123354517300's digits is 46
• More coming soon!