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403142144 = 292513137
BaseRepresentation
bin11000000001110…
…111011000000000
31001002120202001112
4120001313120000
51311201022034
6104000422452
712663436346
oct3001673000
91032522045
10403142144
11197621729
12b3017a28
13656a1862
143b781996
15255d47ce
hex18077600

403142144 has 40 divisors (see below), whose sum is σ = 808963848. Its totient is φ = 200704000.

The previous prime is 403142123. The next prime is 403142161. The reversal of 403142144 is 441241304.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126944 + ... + 130080.

Almost surely, 2403142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404481924).

403142144 is an abundant number, since it is smaller than the sum of its proper divisors (405821704).

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

403142144 is an equidigital number, since it uses as much as digits as its factorization.

403142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 403142144 is about 20078.3999362499. The cubic root of 403142144 is about 738.7305628077.

Adding to 403142144 its reverse (441241304), we get a palindrome (844383448).

The spelling of 403142144 in words is "four hundred three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 2008 3137 4016 6274 8032 12548 16064 25096 32128 50192 64256 100384 128512 200768 401536 787387 803072 1574774 1606144 3149548 6299096 12598192 25196384 50392768 100785536 201571072 403142144