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414132213430 = 251322347397571
BaseRepresentation
bin1100000011011000011…
…01000001011010110110
31110120221120211012022001
412001230031001122312
523241120321312210
6514125534325514
741630403506305
oct6015415013266
91416846735261
10414132213430
1114a6a5924531
126831805989a
133008b45c300
141608905443c
15ab8c44603a
hex606c3416b6

414132213430 has 192 divisors, whose sum is σ = 863883491328. Its totient is φ = 142539471360.

The previous prime is 414132213427. The next prime is 414132213457. The reversal of 414132213430 is 34312231414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 725275045 + ... + 725275615.

It is an arithmetic number, because the mean of its divisors is an integer number (4499393184).

Almost surely, 2414132213430 is an apocalyptic number.

414132213430 is an abundant number, since it is smaller than the sum of its proper divisors (449751277898).

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

414132213430 is a wasteful number, since it uses less digits than its factorization.

414132213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 414132213430 its reverse (34312231414), we get a palindrome (448444444844).

The spelling of 414132213430 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred thirteen thousand, four hundred thirty".