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1434014202132 = 2233177911718443
BaseRepresentation
bin10100110111100001111…
…010000011100100010100
312002002102220201021222000
4110313201322003210110
5141443330113432012
63014435501035300
7205414131413061
oct24674172034424
95062386637860
101434014202132
115031866a5846
121b1b08555b30
13a52c4823ab5
144d599c23c68
152747e3b6ddc
hex14de1e83914

1434014202132 has 192 divisors, whose sum is σ = 3990215577600. Its totient is φ = 443760145920.

The previous prime is 1434014202079. The next prime is 1434014202151. The reversal of 1434014202132 is 2312024104341.

1434014202132 is a `hidden beast` number, since 1 + 4 + 3 + 401 + 42 + 0 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1434014202096 and 1434014202105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169842303 + ... + 169850745.

It is an arithmetic number, because the mean of its divisors is an integer number (20782372800).

Almost surely, 21434014202132 is an apocalyptic number.

1434014202132 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 1434014202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995107788800).

1434014202132 is an abundant number, since it is smaller than the sum of its proper divisors (2556201375468).

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

1434014202132 is a wasteful number, since it uses less digits than its factorization.

1434014202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1434014202132 its reverse (2312024104341), we get a palindrome (3746038306473).

The spelling of 1434014202132 in words is "one trillion, four hundred thirty-four billion, fourteen million, two hundred two thousand, one hundred thirty-two".