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1144320000 = 212354149
BaseRepresentation
bin100010000110100…
…1111000000000000
32221202020110221020
41010031033000000
54320421220000
6305314425440
740233362625
oct10415170000
92852213836
101144320000
11537a3660a
1227b292280
131530ca935
14abd9834c
156a6dcba0
hex4434f000

1144320000 has 260 divisors, whose sum is σ = 3838302600. Its totient is φ = 303104000.

The previous prime is 1144319987. The next prime is 1144320029. The reversal of 1144320000 is 234411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679926 + ... + 7680074.

Almost surely, 21144320000 is an apocalyptic number.

1144320000 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 1144320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919151300).

1144320000 is an abundant number, since it is smaller than the sum of its proper divisors (2693982600).

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

1144320000 is an frugal number, since it uses more digits than its factorization.

1144320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1144320000 is about 33827.7992189856. The cubic root of 1144320000 is about 1045.9618137456.

Adding to 1144320000 its reverse (234411), we get a palindrome (1144554411).

The spelling of 1144320000 in words is "one billion, one hundred forty-four million, three hundred twenty thousand".