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4142313 = 337231101
BaseRepresentation
bin1111110011010011101001
321210110012000
433303103221
52030023223
6224441213
750131500
oct17632351
97713160
104142313
11237a1aa
121479209
13b20596
1479b837
1556c543
hex3f34e9

4142313 has 48 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 2268000.

The previous prime is 4142311. The next prime is 4142363. The reversal of 4142313 is 3132414.

It is not a de Polignac number, because 4142313 - 21 = 4142311 is a prime.

4142313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4142311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40963 + ... + 41063.

It is an arithmetic number, because the mean of its divisors is an integer number (155040).

Almost surely, 24142313 is an apocalyptic number.

It is an amenable number.

4142313 is a deficient number, since it is larger than the sum of its proper divisors (3299607).

4142313 is a wasteful number, since it uses less digits than its factorization.

4142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4142313 is about 2035.2673043116. The cubic root of 4142313 is about 160.6007752129.

Adding to 4142313 its reverse (3132414), we get a palindrome (7274727).

The spelling of 4142313 in words is "four million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 31 49 63 93 101 147 189 217 279 303 441 651 707 837 909 1323 1519 1953 2121 2727 3131 4557 4949 5859 6363 9393 13671 14847 19089 21917 28179 41013 44541 65751 84537 133623 153419 197253 460257 591759 1380771 4142313