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541131444 = 2232721110177
BaseRepresentation
bin100000010000010…
…000001010110100
31101201020022210100
4200100100022310
52102012201234
6125410154100
716260353460
oct4020201264
91351208710
10541131444
11258500077
12131282930
1388156929
1451c214a0
1532790399
hex204102b4

541131444 has 72 divisors (see below), whose sum is σ = 1570831808. Its totient is φ = 153861120.

The previous prime is 541131433. The next prime is 541131449. The reversal of 541131444 is 444131145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541131449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48084 + ... + 58260.

Almost surely, 2541131444 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 541131444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785415904).

541131444 is an abundant number, since it is smaller than the sum of its proper divisors (1029700364).

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

541131444 is a wasteful number, since it uses less digits than its factorization.

541131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10400 counting only the distinct ones).

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

The square root of 541131444 is about 23262.2321370929. The cubic root of 541131444 is about 814.8936310927.

Adding to 541131444 its reverse (444131145), we get a palindrome (985262589).

The spelling of 541131444 in words is "five hundred forty-one million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 10177 13293 17724 20354 26586 30531 40708 53172 61062 71239 91593 122124 142478 183186 213717 284956 366372 427434 641151 854868 1282302 2147347 2564604 4294694 6442041 8589388 12884082 15031429 19326123 25768164 30062858 38652246 45094287 60125716 77304492 90188574 135282861 180377148 270565722 541131444