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21432132403344 = 24321337372783023
BaseRepresentation
bin1001101111110000011101…
…01000111000000010010000
32210212220002011020111222100
410313320032220320002100
510302121001343401334
6113325441413440400
74341264135423105
oct467701650700220
983786064214870
1021432132403344
116913353009573
1224a1835940100
13bc606cca7710
1454146c194aac
15272773e37c99
hex137e0ea38090

21432132403344 has 240 divisors, whose sum is σ = 66358450342912. Its totient is φ = 6414473659392.

The previous prime is 21432132403337. The next prime is 21432132403349. The reversal of 21432132403344 is 44330423123412.

21432132403344 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 213 + 2 + 403 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21432132403299 and 21432132403308.

It is not an unprimeable number, because it can be changed into a prime (21432132403349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 258105417 + ... + 258188439.

Almost surely, 221432132403344 is an apocalyptic number.

21432132403344 is a gapful number since it is divisible by the number (24) 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 21432132403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179225171456).

21432132403344 is an abundant number, since it is smaller than the sum of its proper divisors (44926317939568).

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

21432132403344 is a wasteful number, since it uses less digits than its factorization.

21432132403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86814 (or 86805 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 21432132403344 its reverse (44330423123412), we get a palindrome (65762555526756).

The spelling of 21432132403344 in words is "twenty-one trillion, four hundred thirty-two billion, one hundred thirty-two million, four hundred three thousand, three hundred forty-four".