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4001144240 = 24550014303
BaseRepresentation
bin1110111001111100…
…1001110110110000
3101022211212012001102
43232133021312300
531143243103430
61501010223532
7201103110362
oct35637116660
911284765042
104001144240
1117735a5985
12937b84ba8
134b9c32492
1429d570d32
151863ee345
hexee7c9db0

4001144240 has 20 divisors (see below), whose sum is σ = 9302660544. Its totient is φ = 1600457664.

The previous prime is 4001144237. The next prime is 4001144333. The reversal of 4001144240 is 424411004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25007072 + ... + 25007231.

Almost surely, 24001144240 is an apocalyptic number.

4001144240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001144240 is an abundant number, since it is smaller than the sum of its proper divisors (5301516304).

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

4001144240 is a wasteful number, since it uses less digits than its factorization.

4001144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50014316 (or 50014310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4001144240 is about 63254.5985680093. The cubic root of 4001144240 is about 1587.5524015191.

Adding to 4001144240 its reverse (424411004), we get a palindrome (4425555244).

The spelling of 4001144240 in words is "four billion, one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50014303 100028606 200057212 250071515 400114424 500143030 800228848 1000286060 2000572120 4001144240