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331042422040140 = 223517735238500783
BaseRepresentation
bin100101101000101001101000…
…1111110001010011001001100
31121102010100100120121200210010
41023101103101332022121030
5321342244340020241030
63132022442245313220
7126505011552256536
oct11321232176123114
91542110316550703
10331042422040140
1196531336a90078
12311662a5405810
13112942218c69a5
145ba6778352856
15284128e3126b0
hex12d14d1f8a64c

331042422040140 has 192 divisors, whose sum is σ = 996790234761216. Its totient is φ = 81790308016128.

The previous prime is 331042422040117. The next prime is 331042422040199. The reversal of 331042422040140 is 41040224240133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 331042422040098 and 331042422040107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34692189 + ... + 43192971.

It is an arithmetic number, because the mean of its divisors is an integer number (5191615806048).

Almost surely, 2331042422040140 is an apocalyptic number.

331042422040140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331042422040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498395117380608).

331042422040140 is an abundant number, since it is smaller than the sum of its proper divisors (665747812721076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331042422040140 is a wasteful number, since it uses less digits than its factorization.

331042422040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501408 (or 8501406 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 331042422040140 its reverse (41040224240133), we get a palindrome (372082646280273).

The spelling of 331042422040140 in words is "three hundred thirty-one trillion, forty-two billion, four hundred twenty-two million, forty thousand, one hundred forty".