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401001144 = 23343388567
BaseRepresentation
bin10111111001101…
…100101010111000
31000221112222011020
4113321230222320
51310124014034
6103442502440
712636311355
oct2771545270
91027488136
10401001144
1119639a105
12b2364a20
13651021ab
143b38562c
1525310249
hex17e6cab8

401001144 has 32 divisors (see below), whose sum is σ = 1025819520. Its totient is φ = 130558176.

The previous prime is 401001121. The next prime is 401001193. The reversal of 401001144 is 441100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193252 + ... + 195315.

It is an arithmetic number, because the mean of its divisors is an integer number (32056860).

Almost surely, 2401001144 is an apocalyptic number.

It is an amenable number.

401001144 is an abundant number, since it is smaller than the sum of its proper divisors (624818376).

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

401001144 is a wasteful number, since it uses less digits than its factorization.

401001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388619 (or 388615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 401001144 is about 20025.0129587973. The cubic root of 401001144 is about 737.4204952694.

Adding to 401001144 its reverse (441100104), we get a palindrome (842101248).

The spelling of 401001144 in words is "four hundred one million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 388567 777134 1165701 1554268 2331402 3108536 4662804 9325608 16708381 33416762 50125143 66833524 100250286 133667048 200500572 401001144