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451144431 = 3379211507
BaseRepresentation
bin11010111000111…
…110101011101111
31011102220111211000
4122320332223233
51410443110211
6112433331343
714115443613
oct3270765357
91142814730
10451144431
11211728541
12107106b53
137260a88a
1443cb9343
1529917656
hex1ae3eaef

451144431 has 16 divisors (see below), whose sum is σ = 676825600. Its totient is φ = 296954424.

The previous prime is 451144411. The next prime is 451144489. The reversal of 451144431 is 134441154.

It is not a de Polignac number, because 451144431 - 213 = 451136239 is a prime.

It is a super-2 number, since 2×4511444312 = 407062595244627522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 451144395 and 451144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451144411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103621 + ... + 107886.

It is an arithmetic number, because the mean of its divisors is an integer number (42301600).

Almost surely, 2451144431 is an apocalyptic number.

451144431 is a deficient number, since it is larger than the sum of its proper divisors (225681169).

451144431 is a wasteful number, since it uses less digits than its factorization.

451144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211595 (or 211589 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 451144431 is about 21240.1608044760. The cubic root of 451144431 is about 766.9585034101.

Adding to 451144431 its reverse (134441154), we get a palindrome (585585585).

The spelling of 451144431 in words is "four hundred fifty-one million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 79 237 711 2133 211507 634521 1903563 5710689 16709053 50127159 150381477 451144431