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4073149440 = 210325372389
BaseRepresentation
bin1111001011000111…
…0101010000000000
3101111212100102121200
43302301311100000
531320211240230
61512101421200
7202636125153
oct36261652000
911455312550
104073149440
111800206508
1295810a800
134cbb238c9
142a8d55c9a
1518c8c4160
hexf2c75400

4073149440 has 264 divisors, whose sum is σ = 14500866120. Its totient is φ = 1056374784.

The previous prime is 4073149417. The next prime is 4073149447. The reversal of 4073149440 is 449413704.

4073149440 is a `hidden beast` number, since 4 + 0 + 73 + 149 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 632623104 + 3440526336 = 25152^2 + 58656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4073149395 and 4073149404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073149447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703766 + ... + 1706154.

Almost surely, 24073149440 is an apocalyptic number.

4073149440 is a gapful number since it is divisible by the number (40) 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 4073149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250433060).

4073149440 is an abundant number, since it is smaller than the sum of its proper divisors (10427716680).

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

4073149440 is a wasteful number, since it uses less digits than its factorization.

4073149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4073149440 is about 63821.2303234590. The cubic root of 4073149440 is about 1597.0191165743.

The spelling of 4073149440 in words is "four billion, seventy-three million, one hundred forty-nine thousand, four hundred forty".