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1141002240 = 2123572379
BaseRepresentation
bin100010000000010…
…0101000000000000
32221111222220211020
41010000211000000
54314044032430
6305115345440
740163234100
oct10400450000
92844886736
101141002240
1153607a964
1227a152280
13152508771
14ab773200
156a284b10
hex44025000

1141002240 has 312 divisors, whose sum is σ = 4258009440. Its totient is φ = 260112384.

The previous prime is 1141002229. The next prime is 1141002241. The reversal of 1141002240 is 422001411.

It is a super-2 number, since 2×11410022402 = 2603772223370035200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141002241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010371 + ... + 3010749.

Almost surely, 21141002240 is an apocalyptic number.

1141002240 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 1141002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129004720).

1141002240 is an abundant number, since it is smaller than the sum of its proper divisors (3117007200).

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

1141002240 is an equidigital number, since it uses as much as digits as its factorization.

1141002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1141002240 is about 33778.7246650906. The cubic root of 1141002240 is about 1044.9499728041.

Adding to 1141002240 its reverse (422001411), we get a palindrome (1563003651).

The spelling of 1141002240 in words is "one billion, one hundred forty-one million, two thousand, two hundred forty".