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1144227840 = 21135717313
BaseRepresentation
bin100010000110011…
…1000100000000000
32221202001210111220
41010030320200000
54320410242330
6305312435040
740232530140
oct10414704000
92852053456
101144227840
11537983348
1227b248a80
131530979c2
14abd72920
156a6c0710
hex44338800

1144227840 has 384 divisors, whose sum is σ = 4443828480. Its totient is φ = 245366784.

The previous prime is 1144227803. The next prime is 1144227841. The reversal of 1144227840 is 487224411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1144227841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655524 + ... + 3655836.

It is an arithmetic number, because the mean of its divisors is an integer number (11572470).

Almost surely, 21144227840 is an apocalyptic number.

1144227840 is a gapful number since it is divisible by the number (10) 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 1144227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221914240).

1144227840 is an abundant number, since it is smaller than the sum of its proper divisors (3299600640).

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

1144227840 is a wasteful number, since it uses less digits than its factorization.

1144227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 1144227840 is about 33826.4369983006. The cubic root of 1144227840 is about 1045.9337334800.

The spelling of 1144227840 in words is "one billion, one hundred forty-four million, two hundred twenty-seven thousand, eight hundred forty".