4138978188649693312

Names of 4138978188649693312

• Cardinal: 4138978188649693312 can be written as Four quintillion, one hundred thirty-eight quadrillion, nine hundred seventy-eight trillion, one hundred eighty-eight billion, six hundred forty-nine million, six hundred ninety-three thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.138978188649693312 × 10¹⁸

Factors of 4138978188649693312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4172215

Divisors of 4138978188649693312

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 107 112 128 154 176 214 224 308 352 428 448 616 704 749 856 896 1177 1232 1408 1498 1712 2354 2464 2996 3424 4708 4928 5992 6848 8239 9416 9856 11984 13696 16478 18832 23968 32956 37664 47936 65912 75328 95872 131824 150656 263648 527296 1054592 1432699 2739389 2865398 5478778 5730796 10028893 10957556 11461592 15759689 19175723 20057786 21915112 22923184 30133279 31519378 38351446 40115572 43830224 45846368 60266558 63038756 76702892 80231144 87660448 91692736 110317823 120533116 126077512 153298793 153405784 160462288 175320896 183385472 210932953 220635646 241066232 252155024 293114623 306597586 306811568 320924576 350641792 421865906 441271292 482132464 504310048 586229246 613195172 613623136 641849152 843731812 882542584 964264928 1008620096 1073091551 1172458492 1226390344 1227246272 1283698304 1686286723 1687463624 1765085168 1928529856 2017240192 2051802361 2146183102 2344916984 2452780688 2454492544 3224260853 3372573446 3374927248 3530170336 3857059712 4103604722 4292366204 4689833968 4905561376 6448521706 6745146892 6749854496 7060340672 8207209444 8584732408 9379667936 9811122752 11804007061 12897043412 13490293784 13499708992 14120681344 16414418888 17169464816 18759335872 19622245504 22569825971 23608014122 25794086824 26980587568 26999417984 32828837776 34338929632 37518671744 45139651942 47216028244 51588173648 53961175136 65657675552 68677859264 90279303884 94432056488 103176347296 107922350272 131315351104 137355718528 180558607768 188864112976 206352694592 215844700544 262630702208 361117215536 377728225952 412705389184 722234431072 755456451904 1444468862144 1510912903808 2888937724288 3924719880911 7849439761822 15698879523644 27473039166377 31397759047288 43171918690021 54946078332754 62795518094576 86343837380042 109892156665508 125591036189152 172687674760084 219784313331016 251182072378304 302203430830147 345375349520168 419945027257477 439568626662032 502364144756608 604406861660294 690750699040336 839890054514954 879137253324064 1208813723320588 1381501398080672 1679780109029908 1758274506648128 2417627446641176 2763002796161344 2939615190802339 3359560218059816 3516549013296256 4619395299832247 4835254893282352 5526005592322688 5879230381604678 6719120436119632 9238790599664494 9670509786564704 11758460763209356 13438240872239264 18477581199328988 19341019573129408 23516921526418712 26876481744478528 32335767098825729 36955162398657976 38682039146258816 47033843052837424 53752963488957056 64671534197651458 73910324797315952 94067686105674848 129343068395302916 147820649594631904 188135372211349696 258686136790605832 295641299189263808 376270744422699392 517372273581211664 591282598378527616 1034744547162423328 2069489094324846656 4138978188649693312
• Sum of all divisors σ(n): 10376342440283520000
• Sum of proper divisors (its aliquot sum) s(n): 6237364251633826688
• 4138978188649693312 is an abundant number, because the sum of its proper divisors (6237364251633826688) is greater than itself. Its abundance is 2098386062984133376

Bases of 4138978188649693312

• Binary: 11100101110000100110101011101110111011100011100000000010000000₂
• Hexadecimal: 0x39709ABBBB8E0080
• Base-36: VG21BEGG1HTS

Squares and roots of 4138978188649693312

• 4138978188649693312 squared (4138978188649693312²) is 17131140446117896238937058711657529344
• 4138978188649693312 cubed (4138978188649693312³) is 70905416653176549184183215862373256314701181921240547328
• The square root of 4138978188649693312 is 2034447883.0016003415
• The cube root of 4138978188649693312 is 1605576.6587798683

Scales and comparisons

• 4,138,978,188,649,693,312 seconds is equal to 131,606,703,698 years, 48 weeks, 11 hours, 41 minutes, 52 seconds.
• To count from 1 to 4,138,978,188,649,693,312 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 4138978188649693312 cubic inches would be around 133798.1 feet tall.

Recreational maths with 4138978188649693312

• 4138978188649693312 backwards is 2133969468818798314
• The number of decimal digits it has is: 19
• The sum of 4138978188649693312's digits is 100
• More coming soon!