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4013121409 = 111379972671
BaseRepresentation
bin1110111100110011…
…0101111110000001
3101100200101200122021
43233030311332001
531204324341114
61502115041441
7201306653263
oct35714657601
911320350567
104013121409
11177a336570
1293bba0281
134bc566c6b
142a0dabb33
151874b8024
hexef335f81

4013121409 has 16 divisors (see below), whose sum is σ = 4415982336. Its totient is φ = 3616675200.

The previous prime is 4013121407. The next prime is 4013121419. The reversal of 4013121409 is 9041213104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4013121409 - 21 = 4013121407 is a prime.

It is a super-2 number, since 2×40131214092 = 32210286886748290562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4013121407) 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 15 ways as a sum of consecutive naturals, for example, 1501144 + ... + 1503814.

It is an arithmetic number, because the mean of its divisors is an integer number (275998896).

Almost surely, 24013121409 is an apocalyptic number.

It is an amenable number.

4013121409 is a deficient number, since it is larger than the sum of its proper divisors (402860927).

4013121409 is a wasteful number, since it uses less digits than its factorization.

4013121409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4013121409 is about 63349.2021181009. The cubic root of 4013121409 is about 1589.1349023388.

The spelling of 4013121409 in words is "four billion, thirteen million, one hundred twenty-one thousand, four hundred nine".

Divisors: 1 11 137 997 1507 2671 10967 29381 136589 365927 1502479 2662987 4025197 29292857 364829219 4013121409