Base | Representation |
---|---|
bin | 1100001110100011100… |
… | …01000100111010010000 |
3 | 1111011102122211210012011 |
4 | 12013101301010322100 |
5 | 23340412032143044 |
6 | 521001112112304 |
7 | 42232145456053 |
oct | 6072161047220 |
9 | 1434378753164 |
10 | 420131131024 |
11 | 1521a4086070 |
12 | 69511095694 |
13 | 308062394a7 |
14 | 16497a60a9a |
15 | addde18134 |
hex | 61d1c44e90 |
420131131024 has 40 divisors (see below), whose sum is σ = 888117888960. Its totient is φ = 190944297600.
The previous prime is 420131131009. The next prime is 420131131027.
420131131024 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 420131130986 and 420131131004.
It is not an unprimeable number, because it can be changed into a prime (420131131027) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266394 + ... + 1563334.
It is an arithmetic number, because the mean of its divisors is an integer number (22202947224).
Almost surely, 2420131131024 is an apocalyptic number.
420131131024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
420131131024 is an abundant number, since it is smaller than the sum of its proper divisors (467986757936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420131131024 is a wasteful number, since it uses less digits than its factorization.
420131131024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304999 (or 304993 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
It can be divided in two parts, 420131 and 131024, that added together give a palindrome (551155).
The spelling of 420131131024 in words is "four hundred twenty billion, one hundred thirty-one million, one hundred thirty-one thousand, twenty-four".
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