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4003404041 = 71341226171
BaseRepresentation
bin1110111010011111…
…0001100100001001
3101100000002222220202
43232213301210021
531144332412131
61501130501545
7201131241620
oct35647614411
911300088822
104003404041
1117748a978a
129388948b5
134ba543c40
1429d99c6b7
151866e8bcb
hexee9f1909

4003404041 has 24 divisors (see below), whose sum is σ = 5050567872. Its totient is φ = 3090153600.

The previous prime is 4003404011. The next prime is 4003404047. The reversal of 4003404041 is 1404043004.

It is not a de Polignac number, because 4003404041 - 210 = 4003403017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4003404047) 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 23 ways as a sum of consecutive naturals, for example, 139886 + ... + 166056.

It is an arithmetic number, because the mean of its divisors is an integer number (210440328).

Almost surely, 24003404041 is an apocalyptic number.

4003404041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4003404041 is a deficient number, since it is larger than the sum of its proper divisors (1047163831).

4003404041 is a wasteful number, since it uses less digits than its factorization.

4003404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26273 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4003404041 is about 63272.4587873745. The cubic root of 4003404041 is about 1587.8512224811.

Adding to 4003404041 its reverse (1404043004), we get a palindrome (5407447045).

The spelling of 4003404041 in words is "four billion, three million, four hundred four thousand, forty-one".

Divisors: 1 7 13 41 91 287 533 1681 3731 11767 21853 26171 152971 183197 340223 1073011 2381561 7511077 13949143 43993451 97644001 307954157 571914863 4003404041