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20340114432 = 2103114153277
BaseRepresentation
bin10010111100010111…
…011000010000000000
31221111112111212112120
4102330113120100000
5313124032130212
613202155124240
71320022056111
oct227427302000
957445455476
1020340114432
118698512030
123b37a43680
131bc1cac391
14dad53c208
157e0a5088c
hex4bc5d8400

20340114432 has 352 divisors, whose sum is σ = 61950801024. Its totient is φ = 5878579200.

The previous prime is 20340114409. The next prime is 20340114461. The reversal of 20340114432 is 23441104302.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73429878 + ... + 73430154.

Almost surely, 220340114432 is an apocalyptic number.

20340114432 is a gapful number since it is divisible by the number (22) 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 20340114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30975400512).

20340114432 is an abundant number, since it is smaller than the sum of its proper divisors (41610686592).

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

20340114432 is a wasteful number, since it uses less digits than its factorization.

20340114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20340114432 its reverse (23441104302), we get a palindrome (43781218734).

The spelling of 20340114432 in words is "twenty billion, three hundred forty million, one hundred fourteen thousand, four hundred thirty-two".