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35354325434142 = 23111331935336353
BaseRepresentation
bin10000000100111100100100…
…00000100011111100011110
311122011211200201121220102210
420002132102000203330132
514113221124302343032
6203105315231301250
710306160066553651
oct1002362200437436
9148154621556383
1035354325434142
11102a075a027620
123b6baa407a826
131695b8b258000
148a3230c2d898
154149a91592cc
hex202792023f1e

35354325434142 has 256 divisors, whose sum is σ = 88211439590400. Its totient is φ = 9342033592320.

The previous prime is 35354325434081. The next prime is 35354325434159. The reversal of 35354325434142 is 24143452345353.

It is a junction number, because it is equal to n+sod(n) for n = 35354325434091 and 35354325434100.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 972510238 + ... + 972546590.

It is an arithmetic number, because the mean of its divisors is an integer number (344575935900).

Almost surely, 235354325434142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35354325434142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44105719795200).

35354325434142 is an abundant number, since it is smaller than the sum of its proper divisors (52857114156258).

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

35354325434142 is a wasteful number, since it uses less digits than its factorization.

35354325434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36780 (or 36754 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 48.

Adding to 35354325434142 its reverse (24143452345353), we get a palindrome (59497777779495).

The spelling of 35354325434142 in words is "thirty-five trillion, three hundred fifty-four billion, three hundred twenty-five million, four hundred thirty-four thousand, one hundred forty-two".