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3114132480 = 2103552503
BaseRepresentation
bin1011100110011101…
…1110010000000000
322001000210022200000
42321213132100000
522334204214410
61233002400000
7140112455304
oct27147362000
98030708600
103114132480
111358934908
1272ab00000
133a8235854
14217835d04
151335dadc0
hexb99de400

3114132480 has 264 divisors, whose sum is σ = 11194502592. Its totient is φ = 830103552.

The previous prime is 3114132473. The next prime is 3114132487. The reversal of 3114132480 is 842314113.

3114132480 is a `hidden beast` number, since 3 + 1 + 1 + 413 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3114132473) and next prime (3114132487).

It is a super-2 number, since 2×31141324802 = 19395642205981900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3114132487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242909 + ... + 1245411.

Almost surely, 23114132480 is an apocalyptic number.

3114132480 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 3114132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597251296).

3114132480 is an abundant number, since it is smaller than the sum of its proper divisors (8080370112).

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

3114132480 is an equidigital number, since it uses as much as digits as its factorization.

3114132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3114132480 is about 55804.4127287440. The cubic root of 3114132480 is about 1460.3121369282.

Adding to 3114132480 its reverse (842314113), we get a palindrome (3956446593).

The spelling of 3114132480 in words is "three billion, one hundred fourteen million, one hundred thirty-two thousand, four hundred eighty".