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4004023141 = 17415997367
BaseRepresentation
bin1110111010101000…
…1000101101100101
3101100001021110011101
43232222020231211
531200012220031
61501152040101
7201136430566
oct35652105545
911301243141
104004023141
111775191938
12938b33031
134ba6cc981
1429dac016d
151867bc361
hexeea88b65

4004023141 has 16 divisors (see below), whose sum is σ = 4416612480. Its totient is φ = 3614225920.

The previous prime is 4004023109. The next prime is 4004023151. The reversal of 4004023141 is 1413204004.

It is a cyclic number.

It is not a de Polignac number, because 4004023141 - 25 = 4004023109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004023151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7561 + ... + 89806.

It is an arithmetic number, because the mean of its divisors is an integer number (276038280).

Almost surely, 24004023141 is an apocalyptic number.

4004023141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4004023141 is a deficient number, since it is larger than the sum of its proper divisors (412589339).

4004023141 is a wasteful number, since it uses less digits than its factorization.

4004023141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97484.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4004023141 is about 63277.3509322253. The cubic root of 4004023141 is about 1587.9330684979.

Adding to 4004023141 its reverse (1413204004), we get a palindrome (5417227145).

The spelling of 4004023141 in words is "four billion, four million, twenty-three thousand, one hundred forty-one".

Divisors: 1 17 41 59 697 1003 2419 41123 97367 1655239 3992047 5744653 67864799 97659101 235530773 4004023141