Search a number
-
+
424024401131441 = 113110128343503947
BaseRepresentation
bin110000001101001011101111…
…1110011100011011110110001
32001121100100002120110020022122
41200122113133303203132301
5421034203433142201231
64101454042024044025
7155212515642114305
oct14032273763433661
92047310076406278
10424024401131441
1111311a814166530
123b68292a003615
131527a438a72b16
14769cc6781bd05
153404cab29977b
hex181a5dfce37b1

424024401131441 has 32 divisors (see below), whose sum is σ = 483925388414976. Its totient is φ = 368043383160000.

The previous prime is 424024401131417. The next prime is 424024401131447. The reversal of 424024401131441 is 144131104420424.

It is a cyclic number.

It is not a de Polignac number, because 424024401131441 - 222 = 424024396937137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424024401131447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12005171 + ... + 31498776.

It is an arithmetic number, because the mean of its divisors is an integer number (15122668387968).

Almost surely, 2424024401131441 is an apocalyptic number.

It is an amenable number.

424024401131441 is a deficient number, since it is larger than the sum of its proper divisors (59900987283535).

424024401131441 is a wasteful number, since it uses less digits than its factorization.

424024401131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43504373.

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 424024401131441 its reverse (144131104420424), we get a palindrome (568155505551865).

The spelling of 424024401131441 in words is "four hundred twenty-four trillion, twenty-four billion, four hundred one million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 11 31 101 283 341 1111 3113 3131 8773 28583 34441 96503 314413 886073 9746803 43503947 478543417 1348622357 4393898647 12311617001 14834845927 48332885117 135427787011 136210858057 381660127031 1243473317101 1498319438627 4198261397341 13678206488111 38547672830131 424024401131441