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3013140480 = 21335731113
BaseRepresentation
bin1011001110011000…
…1110000000000000
321202222202101200120
42303212032000000
522132330443410
61214554020240
7134445162060
oct26346160000
97688671616
103013140480
111306926049
12701117680
1339033567c
142082673a0
151297dc570
hexb398e000

3013140480 has 448 divisors, whose sum is σ = 11474915328. Its totient is φ = 660602880.

The previous prime is 3013140463. The next prime is 3013140497. The reversal of 3013140480 is 840413103.

It is an interprime number because it is at equal distance from previous prime (3013140463) and next prime (3013140497).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3013140480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26664904 + ... + 26665016.

Almost surely, 23013140480 is an apocalyptic number.

3013140480 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 3013140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737457664).

3013140480 is an abundant number, since it is smaller than the sum of its proper divisors (8461774848).

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

3013140480 is a wasteful number, since it uses less digits than its factorization.

3013140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3013140480 is about 54892.0803030820. The cubic root of 3013140480 is about 1444.3522645361.

Adding to 3013140480 its reverse (840413103), we get a palindrome (3853553583).

The spelling of 3013140480 in words is "three billion, thirteen million, one hundred forty thousand, four hundred eighty".