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4412160144 = 24327171971307
BaseRepresentation
bin1000001101111110…
…00011100010010000
3102101111020221212200
410012333003202100
533014003111034
62005451523200
7214223512440
oct40677034220
912344227780
104412160144
111964605247
12a31759500
1355412cb62
142dbda2120
151ac53ba99
hex106fc3890

4412160144 has 240 divisors, whose sum is σ = 15029359488. Its totient is φ = 1179537408.

The previous prime is 4412160133. The next prime is 4412160149. The reversal of 4412160144 is 4410612144.

4412160144 is a `hidden beast` number, since 4 + 4 + 12 + 1 + 601 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (4412160149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3375139 + ... + 3376445.

Almost surely, 24412160144 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 4412160144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514679744).

4412160144 is an abundant number, since it is smaller than the sum of its proper divisors (10617199344).

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

4412160144 is a wasteful number, since it uses less digits than its factorization.

4412160144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4412160144 is about 66424.0930988147. The cubic root of 4412160144 is about 1640.1507079428.

Adding to 4412160144 its reverse (4410612144), we get a palindrome (8822772288).

The spelling of 4412160144 in words is "four billion, four hundred twelve million, one hundred sixty thousand, one hundred forty-four".