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40064121 = 3217318447
BaseRepresentation
bin1001100011010…
…1010001111001
32210101110122100
42120311101321
540224022441
63550414013
7664353006
oct230652171
983343570
1040064121
1120684849
1211501309
1383b9aa6
14546c8ad
1537b5cb6
hex2635479

40064121 has 24 divisors (see below), whose sum is σ = 63258624. Its totient is φ = 24324480.

The previous prime is 40064113. The next prime is 40064161. The reversal of 40064121 is 12146004.

40064121 is a `hidden beast` number, since 4 + 0 + 0 + 641 + 21 = 666.

40064121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40064121 - 23 = 40064113 is a prime.

It is a super-3 number, since 3×400641213 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40064094 and 40064103.

It is not an unprimeable number, because it can be changed into a prime (40064161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520 + ... + 8966.

It is an arithmetic number, because the mean of its divisors is an integer number (2635776).

Almost surely, 240064121 is an apocalyptic number.

It is an amenable number.

40064121 is a deficient number, since it is larger than the sum of its proper divisors (23194503).

40064121 is a wasteful number, since it uses less digits than its factorization.

40064121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40064121 is about 6329.6225005920. The cubic root of 40064121 is about 342.1778340549.

The spelling of 40064121 in words is "forty million, sixty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 8447 25341 76023 143599 261857 430797 785571 1292391 2356713 4451569 13354707 40064121