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34420241142 = 233791058839
BaseRepresentation
bin100000000011100110…
…110011001011110110
310021211210202102022000
4200003212303023312
51030443040204032
623451253120130
72325652136160
oct400346631366
9107753672260
1034420241142
1113663368691
126807329046
1333270941c1
141947511930
15d66c0ee7c
hex8039b32f6

34420241142 has 32 divisors (see below), whose sum is σ = 87416486400. Its totient is φ = 9834354504.

The previous prime is 34420241137. The next prime is 34420241147. The reversal of 34420241142 is 24114202443.

34420241142 is a `hidden beast` number, since 3 + 4 + 4 + 202 + 411 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (34420241137) and next prime (34420241147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420241147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45529042 + ... + 45529797.

It is an arithmetic number, because the mean of its divisors is an integer number (2731765200).

Almost surely, 234420241142 is an apocalyptic number.

34420241142 is an abundant number, since it is smaller than the sum of its proper divisors (52996245258).

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

34420241142 is a wasteful number, since it uses less digits than its factorization.

34420241142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91058857 (or 91058851 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34420241142 its reverse (24114202443), we get a palindrome (58534443585).

The spelling of 34420241142 in words is "thirty-four billion, four hundred twenty million, two hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 91058839 182117678 273176517 546353034 637411873 819529551 1274823746 1639059102 1912235619 2458588653 3824471238 4917177306 5736706857 11473413714 17210120571 34420241142