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1044148224 = 2123761199
BaseRepresentation
bin111110001111000…
…111000000000000
32200202202020002110
4332033013000000
54114300220344
6251335415320
734606053630
oct7617070000
92622666073
101044148224
11496438019
12251824540
13138426bb2
149c9606c0
1561a023b9
hex3e3c7000

1044148224 has 208 divisors, whose sum is σ = 3250188800. Its totient is φ = 291962880.

The previous prime is 1044148213. The next prime is 1044148229. The reversal of 1044148224 is 4228414401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1044148191 and 1044148200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044148229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5246877 + ... + 5247075.

Almost surely, 21044148224 is an apocalyptic number.

1044148224 is a gapful number since it is divisible by the number (14) 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 1044148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625094400).

1044148224 is an abundant number, since it is smaller than the sum of its proper divisors (2206040576).

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

1044148224 is an equidigital number, since it uses as much as digits as its factorization.

1044148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 1044148224 is about 32313.2824702165. The cubic root of 1044148224 is about 1014.5046719669.

The spelling of 1044148224 in words is "one billion, forty-four million, one hundred forty-eight thousand, two hundred twenty-four".