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3014807040 = 2934573167
BaseRepresentation
bin1011001110110010…
…0100111000000000
321210002220001210000
42303230210320000
522133242311130
61215053440000
7134465302620
oct26354447000
97702801700
103014807040
111307864173
127017a0000
1339079a0bb
1420857c880
15129a1b260
hexb3b24e00

3014807040 has 800 divisors, whose sum is σ = 12928886784. Its totient is φ = 656916480.

The previous prime is 3014807023. The next prime is 3014807063. The reversal of 3014807040 is 407084103.

It is a super-2 number, since 2×30148070402 = 18178122976867123200, which contains 22 as substring.

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 = 3014806995 and 3014807013.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 44997087 + ... + 44997153.

Almost surely, 23014807040 is an apocalyptic number.

3014807040 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 3014807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464443392).

3014807040 is an abundant number, since it is smaller than the sum of its proper divisors (9914079744).

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

3014807040 is an equidigital number, since it uses as much as digits as its factorization.

3014807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3014807040 is about 54907.2585365542. The cubic root of 3014807040 is about 1444.6185045909.

The spelling of 3014807040 in words is "three billion, fourteen million, eight hundred seven thousand, forty".