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21433132140 = 223572127137419
BaseRepresentation
bin10011111101100000…
…111010010001101100
32001022201012220221220
4103331200322101230
5322343340212030
613502442223340
71356063421500
oct237540722154
961281186856
1021433132140
1190a9498452
1241a1ab4b50
132037586c14
141074780300
158569a7a10
hex4fd83a46c

21433132140 has 288 divisors, whose sum is σ = 71043194880. Its totient is φ = 4813433856.

The previous prime is 21433132111. The next prime is 21433132151. The reversal of 21433132140 is 4123133412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21433132140.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51152851 + ... + 51153269.

It is an arithmetic number, because the mean of its divisors is an integer number (246677760).

Almost surely, 221433132140 is an apocalyptic number.

21433132140 is a gapful number since it is divisible by the number (20) 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 21433132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35521597440).

21433132140 is an abundant number, since it is smaller than the sum of its proper divisors (49610062740).

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

21433132140 is a wasteful number, since it uses less digits than its factorization.

21433132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21433132140 its reverse (4123133412), we get a palindrome (25556265552).

The spelling of 21433132140 in words is "twenty-one billion, four hundred thirty-three million, one hundred thirty-two thousand, one hundred forty".