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1431104444 = 227115997757
BaseRepresentation
bin101010101001100…
…1110101110111100
310200201212122020022
41111103032232330
510412330320234
6354001311312
750315121110
oct12523165674
93621778208
101431104444
11674903a50
1233b335538
1319a64c383
14d80cb740
158598ae2e
hex554cebbc

1431104444 has 48 divisors (see below), whose sum is σ = 3128025600. Its totient is φ = 556570560.

The previous prime is 1431104431. The next prime is 1431104449. The reversal of 1431104444 is 4444011341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431104449) 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, 180614 + ... + 188370.

It is an arithmetic number, because the mean of its divisors is an integer number (65167200).

Almost surely, 21431104444 is an apocalyptic number.

1431104444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564012800).

1431104444 is an abundant number, since it is smaller than the sum of its proper divisors (1696921156).

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

1431104444 is a wasteful number, since it uses less digits than its factorization.

1431104444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1431104444 is about 37829.9411048973. The cubic root of 1431104444 is about 1126.9131414980.

Adding to 1431104444 its reverse (4444011341), we get a palindrome (5875115785).

The spelling of 1431104444 in words is "one billion, four hundred thirty-one million, one hundred four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 599 1198 2396 4193 6589 7757 8386 13178 15514 16772 26356 31028 46123 54299 85327 92246 108598 170654 184492 217196 341308 597289 1194578 2389156 4646443 9292886 18585772 32525101 51110873 65050202 102221746 130100404 204443492 357776111 715552222 1431104444