Base | Representation |
---|---|
bin | 100111011010001011… |
… | …000011000110100000 |
3 | 11001020000012111120000 |
4 | 213122023003012200 |
5 | 1143130122110130 |
6 | 31234514020000 |
7 | 3025414602045 |
oct | 473213030640 |
9 | 131200174500 |
10 | 42315035040 |
11 | 16a44809143 |
12 | 824b277600 |
13 | 3cb488cc95 |
14 | 2095c311cc |
15 | 1179d78260 |
hex | 9da2c31a0 |
42315035040 has 120 divisors (see below), whose sum is σ = 149336856900. Its totient is φ = 11284005888.
The previous prime is 42315035027. The next prime is 42315035057. The reversal of 42315035040 is 4053051324.
42315035040 is a `hidden beast` number, since 4 + 2 + 3 + 150 + 3 + 504 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 42269715216 + 45319824 = 205596^2 + 6732^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 42315034995 and 42315035013.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1619565 + ... + 1645484.
Almost surely, 242315035040 is an apocalyptic number.
42315035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
42315035040 is an abundant number, since it is smaller than the sum of its proper divisors (107021821860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42315035040 is a wasteful number, since it uses less digits than its factorization.
42315035040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3265076 (or 3265059 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
Adding to 42315035040 its reverse (4053051324), we get a palindrome (46368086364).
The spelling of 42315035040 in words is "forty-two billion, three hundred fifteen million, thirty-five thousand, forty".
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