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40104144101 = 773333123561
BaseRepresentation
bin100101010110011001…
…001010110011100101
310211111221000121100102
4211112121022303211
51124113130102401
630231254553445
72616550412630
oct452631126345
9124457017312
1040104144101
111600a82004a
127932968885
133a218173a8
141d2635ac17
15109ac0956b
hex95664ace5

40104144101 has 16 divisors (see below), whose sum is σ = 46477081728. Its totient is φ = 33892473600.

The previous prime is 40104144023. The next prime is 40104144107. The reversal of 40104144101 is 10144140104.

It is a happy number.

40104144101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40104144101 - 210 = 40104143077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40104144107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690361 + ... + 1713921.

It is an arithmetic number, because the mean of its divisors is an integer number (2904817608).

Almost surely, 240104144101 is an apocalyptic number.

It is an amenable number.

40104144101 is a deficient number, since it is larger than the sum of its proper divisors (6372937627).

40104144101 is a wasteful number, since it uses less digits than its factorization.

40104144101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26972.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 40104144101 its reverse (10144140104), we get a palindrome (50248284205).

The spelling of 40104144101 in words is "forty billion, one hundred four million, one hundred forty-four thousand, one hundred one".

Divisors: 1 7 73 511 3331 23317 23561 164927 243163 1702141 1719953 12039671 78481691 549371837 5729163443 40104144101