642807766394868040

Names of 642807766394868040

• Cardinal: 642807766394868040 can be written as Six hundred forty-two quadrillion, eight hundred seven trillion, seven hundred sixty-six billion, three hundred ninety-four million, eight hundred sixty-eight thousand and forty.

Scientific notation

• Scientific notation: 6.4280776639486804 × 10¹⁷

Factors of 642807766394868040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 528020

Divisors of 642807766394868040

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 5 8 10 20 40 53 106 212 265 307 424 530 614 709 1060 1228 1418 1535 2120 2456 2657 2836 3070 3545 5314 5672 6140 7090 10628 12280 13285 14180 16271 21256 26570 28360 32542 37577 53140 65084 75154 81355 106280 130168 140821 150308 162710 187885 217663 281642 300616 325420 375770 435326 524287 563284 650840 704105 751540 815699 870652 1048574 1088315 1126568 1408210 1503080 1631398 1741304 1883813 2097148 2176630 2621435 2816420 3262796 3767626 4078495 4194296 4353260 5242870 5632840 6525592 7535252 8156990 8706520 9419065 10485740 11536139 15070504 16313980 18838130 20971480 23072278 27787211 32627960 37676260 43232047 46144556 55574422 57680695 75352520 86464094 92289112 99842089 111148844 115361390 138936055 160956109 172928188 199684178 216160235 222297688 230722780 277872110 321912218 345856376 371719483 399368356 432320470 461445560 499210445 555744220 578330591 643824436 743438966 798736712 804780545 864640940 998420890 1111488440 1156661182 1287648872 1393030559 1486877932 1609561090 1729281880 1858597415 1996841780 2313322364 2786061118 2891652955 2973755864 3219122180 3717194830 3993683560 4626644728 5572122236 5783305910 6438244360 6965152795 7434389660 8530673777 11144244472 11566611820 13930305590 14868779320 17061347554 19701132599 23133223640 27860611180 30651521323 34122695108 39402265198 42653368885 55721222360 61303042646 68245390216 73830619627 78804530396 85306737770 98505662995 114117881281 122606085292 147661239254 153257606615 157609060792 170613475540 197011325990 228235762562 245212170584 295322478508 306515213230 341226951080 369153098135 394022651980 427660381613 456471525124 570589406405 590644957016 613030426460 738306196270 788045303960 855320763226 912943050248 987658666331 1141178812810 1226060852920 1476612392540 1710641526452 1975317332662 2138301908065 2282357625620 2953224785080 3421283052904 3950634665324 4276603816130 4564715251240 4938293331655 6048247707893 7901269330648 8553207632260 9876586663310 12096495415786 17106415264520 19753173326620 22666000225489 24192990831572 30241238539465 39506346653240 45332000450978 48385981663144 52345909315543 60482477078930 90664000901956 104691818631086 113330001127445 120964954157860 181328001803912 209383637262172 226660002254890 241929908315720 261729546577715 303211210563617 418767274524344 453320004509780 523459093155430 606422421127234 906640009019560 1046918186310860 1212844842254468 1516056052818085 2093836372621720 2425689684508936 3032112105636170 6064224211272340 12128448422544680 16070194159871701 32140388319743402 64280776639486804 80350970799358505 128561553278973608 160701941598717010 321403883197434020 642807766394868040
• Sum of all divisors σ(n): 1481051733177139200
• Sum of proper divisors (its aliquot sum) s(n): 838243966782271160
• 642807766394868040 is an abundant number, because the sum of its proper divisors (838243966782271160) is greater than itself. Its abundance is 195436200387403120

Bases of 642807766394868040

• Binary: 100011101011101101100100000111111110110101000001000101001000₂
• Hexadecimal: 0x8EBB641FED41148
• Base-36: 4VTCC36YT0EG

Squares and roots of 642807766394868040

• 642807766394868040 squared (642807766394868040²) is 413201824537559241470318049013441600
• 642807766394868040 cubed (642807766394868040³) is 265609341901272633681759624459080105058027218246464000
• The square root of 642807766394868040 is 801752933.5118569057
• The cube root of 642807766394868040 is 863032.2769868259

Scales and comparisons

• 642,807,766,394,868,040 seconds is equal to 20,439,298,636 years, 20 weeks, 7 hours, 20 minutes, 40 seconds.
• To count from 1 to 642,807,766,394,868,040 would take you about sixty-one billion, three hundred seventeen million, eight hundred ninety-five thousand, nine hundred 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 642807766394868040 cubic inches would be around 71919.4 feet tall.

Recreational maths with 642807766394868040

• 642807766394868040 backwards is 040868493667708246
• The number of decimal digits it has is: 18
• The sum of 642807766394868040's digits is 88
• More coming soon!