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4130340401 = 114723933427
BaseRepresentation
bin1111011000101111…
…1111111000110001
3101122211222000212102
43312023333320301
531424331343101
61521503310145
7204232212515
oct36613777061
911584860772
104130340401
11182a518970
129732ab355
1350a929105
142b27a2145
1519291e86b
hexf62ffe31

4130340401 has 16 divisors (see below), whose sum is σ = 4621086720. Its totient is φ = 3659478480.

The previous prime is 4130340367. The next prime is 4130340419. The reversal of 4130340401 is 1040430314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4130340401 - 26 = 4130340337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4130340421) 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, 106850 + ... + 140276.

It is an arithmetic number, because the mean of its divisors is an integer number (288817920).

Almost surely, 24130340401 is an apocalyptic number.

It is an amenable number.

4130340401 is a deficient number, since it is larger than the sum of its proper divisors (490746319).

4130340401 is a wasteful number, since it uses less digits than its factorization.

4130340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33724.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4130340401 is about 64267.7244112471. The cubic root of 4130340401 is about 1604.4589683374.

Adding to 4130340401 its reverse (1040430314), we get a palindrome (5170770715).

The spelling of 4130340401 in words is "four billion, one hundred thirty million, three hundred forty thousand, four hundred one".

Divisors: 1 11 47 239 517 2629 11233 33427 123563 367697 1571069 7989053 17281759 87879583 375485491 4130340401