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403013142 = 232721924049
BaseRepresentation
bin11000000001010…
…111111000010110
31001002100012002200
4120001113320112
51311132410032
6103553545330
712662361300
oct3001277026
91032305080
10403013142
11197543814
12b2b75246
1365657c1c
143b74a970
15255ab47c
hex18057e16

403013142 has 72 divisors (see below), whose sum is σ = 1069263000. Its totient is φ = 109081728.

The previous prime is 403013137. The next prime is 403013159. The reversal of 403013142 is 241310304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4734 + ... + 28782.

It is an arithmetic number, because the mean of its divisors is an integer number (14850875).

Almost surely, 2403013142 is an apocalyptic number.

403013142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 403013142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534631500).

403013142 is an abundant number, since it is smaller than the sum of its proper divisors (666249858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

403013142 is a wasteful number, since it uses less digits than its factorization.

403013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24080 counting only the distinct ones).

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

The square root of 403013142 is about 20075.1872220410. The cubic root of 403013142 is about 738.6517586042.

Adding to 403013142 its reverse (241310304), we get a palindrome (644323446).

The spelling of 403013142 in words is "four hundred three million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16758 24049 48098 72147 144294 168343 216441 336686 432882 456931 505029 913862 1010058 1178401 1370793 1515087 2356802 2741586 3030174 3198517 3535203 4112379 6397034 7070406 8224758 9595551 10605609 19191102 21211218 22389619 28786653 44779238 57573306 67168857 134337714 201506571 403013142