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4004244101 = 1113472332557
BaseRepresentation
bin1110111010101011…
…1110101010000101
3101100001200200021002
43232222332222011
531200041302401
61501200503045
7201141341024
oct35652765205
911301620232
104004244101
111775322950
1293901aa85
134ba779410
1429db3a8bb
15186812a6b
hexeeabea85

4004244101 has 32 divisors (see below), whose sum is σ = 4826884608. Its totient is φ = 3273315840.

The previous prime is 4004244077. The next prime is 4004244103. The reversal of 4004244101 is 1014424004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4004244101 - 230 = 2930502277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004244103) 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 31 ways as a sum of consecutive naturals, for example, 1564715 + ... + 1567271.

It is an arithmetic number, because the mean of its divisors is an integer number (150840144).

Almost surely, 24004244101 is an apocalyptic number.

It is an amenable number.

4004244101 is a deficient number, since it is larger than the sum of its proper divisors (822640507).

4004244101 is a wasteful number, since it uses less digits than its factorization.

4004244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861.

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

The square root of 4004244101 is about 63279.0968725060. The cubic root of 4004244101 is about 1587.9622777227.

Adding to 4004244101 its reverse (1014424004), we get a palindrome (5018668105).

The spelling of 4004244101 in words is "four billion, four million, two hundred forty-four thousand, one hundred one".

Divisors: 1 11 13 47 143 233 517 611 2557 2563 3029 6721 10951 28127 33241 33319 120179 120461 142363 365651 595781 1321969 1562327 1565993 6553591 7745153 17185597 28001707 85196683 308018777 364022191 4004244101