34785816901020

Names of 34785816901020

• Cardinal: 34785816901020 can be written as Thirty-four trillion, seven hundred eighty-five billion, eight hundred sixteen million, nine hundred one thousand and twenty.

Scientific notation

• Scientific notation: 3.478581690102 × 10¹³

Factors of 34785816901020

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 414

Divisors of 34785816901020

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 331 365 438 657 662 730 876 993 1095 1314 1324 1460 1655 1986 2190 2628 2979 3285 3310 3972 4380 4965 5329 5958 6570 6620 9930 10658 11916 13140 14895 15987 19860 21316 24163 26645 29790 31974 47961 48326 53290 59580 63948 72489 79935 95922 96652 106580 109561 120815 144978 159870 191844 217467 219122 239805 241630 289956 319740 328683 362445 434934 438244 479610 483260 547805 657366 724890 869868 959220 986049 1087335 1095610 1314732 1449780 1643415 1763899 1972098 2174670 2191220 3286830 3527798 3944196 4349340 4930245 5291697 6573660 7055596 7997953 8819495 9860490 10583394 15875091 15995906 17638990 19720980 21166788 23993859 26458485 31750182 31991812 35277980 36264691 39989765 47987718 52916970 63500364 71981577 72529382 79375455 79979530 95975436 105833940 108794073 119969295 143963154 145058764 158750910 159959060 181323455 217588146 239938590 287926308 317501820 326382219 359907885 362646910 435176292 479877180 543970365 583850569 652764438 719815770 725293820 1087940730 1167701138 1305528876 1439631540 1631911095 1751551707 2175881460 2335402276 2647322443 2919252845 3263822190 3503103414 5254655121 5294644886 5838505690 6527644380 7006206828 7941967329 8757758535 10509310242 10589289772 11677011380 13236612215 15883934658 17515517070 21018620484 23825901987 26273275605 26473224430 31767869316 35031034140 39709836645 47651803974 52546551210 52946448860 79419673290 95303607948 105093102420 119129509935 158839346580 193254538339 238259019870 386509076678 476518039740 579763615017 773018153356 966272691695 1159527230034 1739290845051 1932545383390 2319054460068 2898818075085 3478581690102 3865090766780 5797636150170 6957163380204 8696454225255 11595272300340 17392908450510 34785816901020
• Sum of all divisors σ(n): 107306405034192
• Sum of proper divisors (its aliquot sum) s(n): 72520588133172
• 34785816901020 is an abundant number, because the sum of its proper divisors (72520588133172) is greater than itself. Its abundance is 37734771232152

Bases of 34785816901020

• Binary: 111111010001100110100010000100111010110011100₂
• Hexadecimal: 0x1FA33442759C
• Base-36: CBWDT8MN0

Squares and roots of 34785816901020

• 34785816901020 squared (34785816901020²) is 1210053057471288676477040400
• 34785816901020 cubed (34785816901020³) is 42092684097715679025594378858309341208000
• The square root of 34785816901020 is 5897950.2287676183
• The cube root of 34785816901020 is 32643.8020424961

Scales and comparisons

• 34,785,816,901,020 seconds is equal to 1,106,081 years, 19 weeks, 4 days, 12 hours, 57 minutes.
• To count from 1 to 34,785,816,901,020 would take you about two million, seven hundred sixty-five thousand, two hundred 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 34785816901020 cubic inches would be around 2720.3 feet tall.

Recreational maths with 34785816901020

• 34785816901020 backwards is 02010961858743
• The number of decimal digits it has is: 14
• The sum of 34785816901020's digits is 54
• More coming soon!