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3045114144 = 2532294361139
BaseRepresentation
bin1011010110000000…
…1100000100100000
321212012220211022100
42311200030010200
522214022123034
61222055210400
7135314020542
oct26540140440
97765824270
103045114144
111322984366
1270b976a00
13396b4bab7
1420c5cb692
1512c506099
hexb580c120

3045114144 has 288 divisors, whose sum is σ = 9383774400. Its totient is φ = 934778880.

The previous prime is 3045114131. The next prime is 3045114151. The reversal of 3045114144 is 4414115403.

3045114144 is a `hidden beast` number, since 3 + 0 + 4 + 511 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21907227 + ... + 21907365.

It is an arithmetic number, because the mean of its divisors is an integer number (32582550).

Almost surely, 23045114144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691887200).

3045114144 is an abundant number, since it is smaller than the sum of its proper divisors (6338660256).

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

3045114144 is a wasteful number, since it uses less digits than its factorization.

3045114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3045114144 is about 55182.5528949142. The cubic root of 3045114144 is about 1449.4431701013.

Adding to 3045114144 its reverse (4414115403), we get a palindrome (7459229547).

The spelling of 3045114144 in words is "three billion, forty-five million, one hundred fourteen thousand, one hundred forty-four".