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4014144401 = 41671461283
BaseRepresentation
bin1110111101000010…
…1111101110010001
3101100202022122220212
43233100233232101
531210110110101
61502153013505
7201321443621
oct35720575621
911322278825
104014144401
11177a975113
129403b4295
134bc834797
142a1196881
1518761b1bb
hexef42fb91

4014144401 has 8 divisors (see below), whose sum is σ = 4173427104. Its totient is φ = 3857784480.

The previous prime is 4014144389. The next prime is 4014144413. The reversal of 4014144401 is 1044414104.

It is an interprime number because it is at equal distance from previous prime (4014144389) and next prime (4014144413).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4014144401 is a prime.

It is a super-2 number, since 2×40141444012 = 32226710544159297602, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4014144451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 727895 + ... + 733388.

It is an arithmetic number, because the mean of its divisors is an integer number (521678388).

Almost surely, 24014144401 is an apocalyptic number.

4014144401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4014144401 is a deficient number, since it is larger than the sum of its proper divisors (159282703).

4014144401 is a wasteful number, since it uses less digits than its factorization.

4014144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461391.

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4014144401 is about 63357.2758331669. The cubic root of 4014144401 is about 1589.2699206127.

Adding to 4014144401 its reverse (1044414104), we get a palindrome (5058558505).

The spelling of 4014144401 in words is "four billion, fourteen million, one hundred forty-four thousand, four hundred one".

Divisors: 1 41 67 2747 1461283 59912603 97905961 4014144401