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414023031 = 32433710607
BaseRepresentation
bin11000101011010…
…111110101110111
31001212001112211100
4120223113311313
51321442214111
6105025541143
713155065142
oct3053276567
91055045740
10414023031
111a27836a4
12b67a47b3
1367a11356
143cdb5059
1526533756
hex18ad7d77

414023031 has 12 divisors (see below), whose sum is σ = 598227552. Its totient is φ = 275925696.

The previous prime is 414023017. The next prime is 414023033. The reversal of 414023031 is 130320414.

It is not a de Polignac number, because 414023031 - 26 = 414022967 is a prime.

It is a super-2 number, since 2×4140230312 = 342830140396853922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414022995 and 414023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414023033) 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 11 ways as a sum of consecutive naturals, for example, 33730 + ... + 44336.

It is an arithmetic number, because the mean of its divisors is an integer number (49852296).

Almost surely, 2414023031 is an apocalyptic number.

414023031 is a deficient number, since it is larger than the sum of its proper divisors (184204521).

414023031 is a wasteful number, since it uses less digits than its factorization.

414023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14950 (or 14947 counting only the distinct ones).

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

The square root of 414023031 is about 20347.5558974536. Note that the first 3 decimals coincide. The cubic root of 414023031 is about 745.3178116442.

Adding to 414023031 its reverse (130320414), we get a palindrome (544343445).

The spelling of 414023031 in words is "four hundred fourteen million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 4337 10607 13011 31821 39033 95463 46002559 138007677 414023031