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403434403031 = 11293121316009
BaseRepresentation
bin1011101111011101001…
…00000111010011010111
31102120100001000010021002
411313232210013103113
523102213201344111
6505200223213515
741101323562562
oct5675644072327
91376301003232
10403434403031
11146106226210
126623144729b
132c07501b29a
14157523674d9
15a76319963b
hex5dee9074d7

403434403031 has 24 divisors (see below), whose sum is σ = 470447254800. Its totient is φ = 342688483200.

The previous prime is 403434403019. The next prime is 403434403033. The reversal of 403434403031 is 130304434304.

It is not a de Polignac number, because 403434403031 - 230 = 402360661207 is a prime.

It is a super-2 number, since 2×4034344030312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 403434402985 and 403434403003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403434403033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351446 + ... + 964563.

It is an arithmetic number, because the mean of its divisors is an integer number (19601968950).

Almost surely, 2403434403031 is an apocalyptic number.

403434403031 is a deficient number, since it is larger than the sum of its proper divisors (67012851769).

403434403031 is a wasteful number, since it uses less digits than its factorization.

403434403031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316111 (or 1316080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 403434403031 its reverse (130304434304), we get a palindrome (533738837335).

The spelling of 403434403031 in words is "four hundred three billion, four hundred thirty-four million, four hundred three thousand, thirty-one".

Divisors: 1 11 29 31 319 341 899 961 9889 10571 27869 306559 1316009 14476099 38164261 40796279 419806871 448759069 1183092091 1264684649 13014013001 13911531139 36675854821 403434403031