138117218304

Names of 138117218304

• Cardinal: 138117218304 can be written as One hundred thirty-eight billion, one hundred seventeen million, two hundred eighteen thousand, three hundred four.

Scientific notation

• Scientific notation: 1.38117218304 × 10¹¹

Factors of 138117218304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 205

Divisors of 138117218304

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 23 24 26 32 37 39 46 48 52 64 69 74 78 92 96 104 111 127 128 138 148 156 184 192 208 222 254 256 276 296 299 312 368 381 384 416 444 481 508 512 552 592 598 624 736 762 768 832 851 888 897 962 1016 1024 1104 1184 1196 1248 1443 1472 1524 1536 1651 1664 1702 1776 1794 1924 2032 2048 2208 2368 2392 2496 2553 2886 2921 2944 3048 3072 3302 3328 3404 3552 3588 3848 4064 4096 4416 4699 4736 4784 4953 4992 5106 5772 5842 5888 6096 6144 6604 6656 6808 7104 7176 7696 8128 8192 8763 8832 9398 9472 9568 9906 9984 10212 11063 11544 11684 11776 12192 12288 13208 13312 13616 14097 14208 14352 15392 16256 16384 17526 17664 18796 18944 19136 19812 19968 20424 22126 23088 23368 23552 24384 24576 26416 26624 27232 28194 28416 28704 30784 32512 32768 33189 35052 35328 37592 37888 37973 38272 39624 39936 40848 44252 46176 46736 47104 48768 49152 52832 53248 54464 56388 56832 57408 61087 61568 65024 66378 70104 70656 75184 75776 75946 76544 79248 79872 81696 88504 92352 93472 94208 97536 98304 105664 106496 108077 108928 112776 113664 113919 114816 122174 123136 130048 132756 140208 141312 150368 151552 151892 153088 158496 159744 163392 177008 183261 184704 186944 188416 195072 211328 212992 216154 217856 225552 227328 227838 229632 244348 246272 260096 265512 280416 282624 300736 303104 303784 306176 316992 319488 324231 326784 354016 366522 369408 373888 376832 390144 422656 425984 432308 435712 451104 454656 455676 459264 488696 492544 520192 531024 560832 565248 601472 606208 607568 612352 633984 638976 648462 653568 708032 733044 738816 747776 753664 780288 845312 864616 871424 902208 909312 911352 918528 977392 985088 1040384 1062048 1121664 1130496 1202944 1212416 1215136 1224704 1267968 1277952 1296924 1307136 1405001 1416064 1466088 1477632 1495552 1560576 1690624 1729232 1742848 1804416 1818624 1822704 1837056 1954784 1970176 2080768 2124096 2243328 2260992 2405888 2430272 2449408 2535936 2593848 2614272 2810002 2832128 2932176 2955264 2991104 3121152 3381248 3458464 3485696 3608832 3637248 3645408 3674112 3909568 3940352 4161536 4215003 4248192 4486656 4811776 4860544 4898816 5071872 5187696 5228544 5620004 5664256 5864352 5910528 5982208 6242304 6762496 6916928 6971392 7217664 7290816 7348224 7819136 7880704 8430006 8496384 8973312 9623552 9721088 9797632 10143744 10375392 10457088 11240008 11328512 11728704 11821056 11964416 12484608 13524992 13833856 13942784 14435328 14581632 14696448 15638272 15761408 16860012 16992768 17946624 19247104 19442176 20287488 20750784 20914176 22480016 22657024 23457408 23642112 23928832 27049984 27667712 27885568 28870656 29163264 29392896 31276544 33720024 33985536 35893248 38494208 38884352 40574976 41501568 41828352 44960032 45314048 46914816 47284224 47857664 54099968 55335424 57741312 58326528 62553088 67440048 67971072 71786496 76988416 77768704 81149952 83003136 83656704 89920064 90628096 93829632 95715328 110670848 115482624 116653056 125106176 134880096 135942144 143572992 153976832 155537408 162299904 166006272 179840128 181256192 187659264 221341696 230965248 233306112 250212352 269760192 271884288 287145984 311074816 332012544 359680256 362512384 375318528 442683392 461930496 466612224 500424704 539520384 543768576 622149632 664025088 719360512 750637056 885366784 933224448 1000849408 1079040768 1087537152 1244299264 1328050176 1438721024 1501274112 1770733568 1866448896 2001698816 2158081536 2656100352 2877442048 3002548224 3541467136 3732897792 4316163072 5312200704 5754884096 6005096448 8632326144 10624401408 11509768192 17264652288 23019536384 34529304576 46039072768 69058609152 138117218304
• Sum of all divisors σ(n): 428416450560
• Sum of proper divisors (its aliquot sum) s(n): 290299232256
• 138117218304 is an abundant number, because the sum of its proper divisors (290299232256) is greater than itself. Its abundance is 152182013952

Bases of 138117218304

• Binary: 10000000101000011011011000000000000000₂
• Hexadecimal: 0x20286D8000
• Base-36: 1RG7FBPC

Squares and roots of 138117218304

• 138117218304 squared (138117218304²) is 19076365992034792636416
• 138117218304 cubed (138117218304³) is 2634774606168870979727240372158464
• The square root of 138117218304 is 371641.2494651259
• The cube root of 138117218304 is 5169.1119858279

Scales and comparisons

• 138,117,218,304 seconds is equal to 4,391 years, 36 weeks, 2 days, 21 hours, 58 minutes, 24 seconds.
• To count from 1 to 138,117,218,304 would take you about eight thousand, seven hundred eighty-three 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 138117218304 cubic inches would be around 430.8 feet tall.

Recreational maths with 138117218304

• 138117218304 backwards is 403812711831
• 138117218304 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138117218304's digits is 39
• More coming soon!