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4142022313 = 1113313725253
BaseRepresentation
bin1111011011100010…
…0011111010101001
3101200122221112102211
43312320203322221
531440324203223
61523001525121
7204433415542
oct36670437251
911618845384
104142022313
111836077740
129771a37a1
135101893a0
142b41634c9
1519397ad0d
hexf6e23ea9

4142022313 has 32 divisors (see below), whose sum is σ = 5159089152. Its totient is φ = 3272659200.

The previous prime is 4142022299. The next prime is 4142022349. The reversal of 4142022313 is 3132202414.

It is a cyclic number.

It is not a de Polignac number, because 4142022313 - 229 = 3605151401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142022383) 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, 151395 + ... + 176647.

It is an arithmetic number, because the mean of its divisors is an integer number (161221536).

Almost surely, 24142022313 is an apocalyptic number.

It is an amenable number.

4142022313 is a deficient number, since it is larger than the sum of its proper divisors (1017066839).

4142022313 is a wasteful number, since it uses less digits than its factorization.

4142022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4142022313 is about 64358.5449882143. The cubic root of 4142022313 is about 1605.9701840282.

Adding to 4142022313 its reverse (3132202414), we get a palindrome (7274224727).

The spelling of 4142022313 in words is "four billion, one hundred forty-two million, twenty-two thousand, three hundred thirteen".

Divisors: 1 11 13 31 37 143 341 403 407 481 1147 4433 5291 12617 14911 25253 164021 277783 328289 782843 934361 3611179 8611273 10176959 10277971 12146693 28965191 111946549 133613623 318617101 376547483 4142022313