138380813220

Names of 138380813220

• Cardinal: 138380813220 can be written as One hundred thirty-eight billion, three hundred eighty million, eight hundred thirteen thousand, two hundred twenty.

Scientific notation

• Scientific notation: 1.3838081322 × 10¹¹

Factors of 138380813220

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 788

Divisors of 138380813220

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 53 58 60 65 78 87 106 116 130 145 156 159 169 174 195 212 260 265 290 318 338 348 377 390 435 507 530 580 636 676 683 689 754 780 795 845 870 1014 1060 1131 1366 1378 1508 1537 1590 1690 1740 1885 2028 2049 2067 2197 2262 2535 2732 2756 3074 3180 3380 3415 3445 3770 4098 4134 4394 4524 4611 4901 5070 5655 6148 6591 6830 6890 7540 7685 8196 8268 8788 8879 8957 9222 9802 10140 10245 10335 10985 11310 13182 13660 13780 14703 15370 17758 17914 18444 19604 19807 19981 20490 20670 21970 22620 23055 24505 26364 26637 26871 29406 30740 32955 35516 35828 36199 39614 39962 40980 41340 43940 44395 44785 46110 49010 53274 53742 58812 59421 59943 63713 65910 72398 73515 79228 79924 88790 89570 92220 98020 99035 99905 106548 107484 108597 115427 116441 118842 119886 127426 131820 133185 134355 144796 147030 177580 179140 180995 191139 198070 199810 217194 230854 232882 237684 239772 254852 257491 259753 266370 268710 294060 297105 299715 318565 346281 349323 361990 382278 396140 399620 434388 461708 465764 470587 514982 519506 532740 537420 542985 577135 582205 594210 599430 637130 692562 698646 723980 764556 772473 779259 941174 955695 1029964 1039012 1049771 1085970 1154270 1164410 1188420 1198860 1274260 1287455 1298765 1385124 1397292 1411761 1500551 1544946 1558518 1731405 1746615 1882348 1911390 2099542 2171940 2308540 2328820 2352935 2574910 2597530 2823522 3001102 3089892 3117036 3149313 3347383 3376789 3462810 3493230 3822780 3862365 3896295 4199084 4501653 4705870 5149820 5195060 5248855 5647044 6002204 6117631 6298626 6694766 6753578 6925620 6986460 7058805 7502755 7724730 7792590 9003306 9411740 10042149 10130367 10497710 12235262 12597252 13389532 13507156 13647023 14117610 15005510 15449460 15585180 15746565 16736915 16883945 18006612 18352893 20084298 20260734 20995420 22508265 24470524 27294046 28235220 30011020 30588155 31493130 33473830 33767890 36705786 40168596 40521468 40941069 43515979 45016530 50210745 50651835 54588092 61176310 62986260 66947660 67535780 68235115 73411572 79529203 81882138 87031958 90033060 91764465 100421490 101303670 122352620 130547937 136470230 159058406 163764276 174063916 177411299 183528930 200842980 202607340 204705345 217579895 238587609 261095874 272940460 318116812 354822598 367057860 397646015 409410690 435159790 477175218 522191748 532233897 652739685 709645196 795292030 818821380 870319580 887056495 954350436 1064467794 1192938045 1305479370 1590584060 1774112990 2128935588 2306346887 2385876090 2610958740 2661169485 3548225980 4612693774 4771752180 5322338970 6919040661 9225387548 10644677940 11531734435 13838081322 23063468870 27676162644 34595203305 46126937740 69190406610 138380813220
• Sum of all divisors σ(n): 443054707200
• Sum of proper divisors (its aliquot sum) s(n): 304673893980
• 138380813220 is an abundant number, because the sum of its proper divisors (304673893980) is greater than itself. Its abundance is 166293080760

Bases of 138380813220

• Binary: 10000000111000001000111010001110100100₂
• Hexadecimal: 0x203823A3A4
• Base-36: 1RKKD2UC

Squares and roots of 138380813220

• 138380813220 squared (138380813220²) is 19149249467428526768400
• 138380813220 cubed (138380813220³) is 2649888713855411436437730598248000
• The square root of 138380813220 is 371995.7166688883
• The cube root of 138380813220 is 5172.3982904377

Scales and comparisons

• 138,380,813,220 seconds is equal to 4,400 years, 4 weeks, 1 day, 18 hours, 47 minutes.
• To count from 1 to 138,380,813,220 would take you about eight thousand, eight hundred 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 138380813220 cubic inches would be around 431 feet tall.

Recreational maths with 138380813220

• 138380813220 backwards is 022318083831
• 138380813220 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138380813220's digits is 39
• More coming soon!