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420433340004011 = 233143791282313537
BaseRepresentation
bin101111110011000011100001…
…1111000011111011010101011
32001010122000221100101200022202
41133212013003320133122223
5420101334440020112021
64050104224321210415
7154362210050142155
oct13746070370373253
92033560840350282
10420433340004011
11111a65861837554
123b1a296aa90a0b
13150799034b2839
1475b7121903ad5
15339168183ca0b
hex17e61c3e1f6ab

420433340004011 has 64 divisors (see below), whose sum is σ = 469333876408320. Its totient is φ = 375261445278720.

The previous prime is 420433340004001. The next prime is 420433340004037. The reversal of 420433340004011 is 110400043334024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 420433340004011 - 214 = 420433339987627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420433340004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31058081435 + ... + 31058094971.

It is an arithmetic number, because the mean of its divisors is an integer number (7333341818880).

Almost surely, 2420433340004011 is an apocalyptic number.

420433340004011 is a deficient number, since it is larger than the sum of its proper divisors (48900536404309).

420433340004011 is a wasteful number, since it uses less digits than its factorization.

420433340004011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26536.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 420433340004011 its reverse (110400043334024), we get a palindrome (530833383338035).

The spelling of 420433340004011 in words is "four hundred twenty trillion, four hundred thirty-three billion, three hundred forty million, four thousand, eleven".

Divisors: 1 23 31 43 79 713 989 1333 1817 2449 3397 12823 13537 30659 56327 78131 105307 294929 311351 397513 419647 551389 582091 1013017 1069423 2422061 9142799 9651881 12681947 13388093 17093059 18044821 23299391 24596729 31403527 33152113 43559731 45985189 173584951 393140357 415030883 722281121 762498599 1001873813 1057659347 1350351661 1425540859 3992453873 5381133481 7464152893 13713211129 31058088203 32787439757 123766070063 171675516539 231388739683 315403855967 425109544999 589668078547 5321941012709 9777519534977 13562365806581 18279710434957 420433340004011