Search a number
-
+
1431989654112 = 2533172319122193
BaseRepresentation
bin10100110101101001001…
…111000001001001100000
312001220012211011121012000
4110311221033001021200
5141430203322412422
63013502540004000
7205313016140523
oct24655117011140
95056184147160
101431989654112
11502337911966
121b1642530600
13a50612631a4
144d446db8bba
15273b17a5cac
hex14d693c1260

1431989654112 has 384 divisors, whose sum is σ = 4638965022720. Its totient is φ = 427449876480.

The previous prime is 1431989654111. The next prime is 1431989654141. The reversal of 1431989654112 is 2114569891341.

1431989654112 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 9 + 8 + 96 + 541 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431989654111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 64513288 + ... + 64535480.

It is an arithmetic number, because the mean of its divisors is an integer number (12080638080).

Almost surely, 21431989654112 is an apocalyptic number.

1431989654112 is a gapful number since it is divisible by the number (12) 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 1431989654112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319482511360).

1431989654112 is an abundant number, since it is smaller than the sum of its proper divisors (3206975368608).

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

1431989654112 is a wasteful number, since it uses less digits than its factorization.

1431989654112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22443 (or 22429 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 1431989654112 in words is "one trillion, four hundred thirty-one billion, nine hundred eighty-nine million, six hundred fifty-four thousand, one hundred twelve".