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5410253142 = 233734941011
BaseRepresentation
bin1010000100111100…
…11110100101010110
3111222001100100002000
411002132132211112
542040011100032
62252504300130
7251033251530
oct50236364526
914861310060
105410253142
112326a46298
12106ba71646
13682b50028
14394774850
15219e92e7c
hex14279e956

5410253142 has 64 divisors (see below), whose sum is σ = 13780032000. Its totient is φ = 1541319840.

The previous prime is 5410253119. The next prime is 5410253201. The reversal of 5410253142 is 2413520145.

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

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 31 ways as a sum of consecutive naturals, for example, 111417 + ... + 152427.

It is an arithmetic number, because the mean of its divisors is an integer number (215313000).

Almost surely, 25410253142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5410253142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890016000).

5410253142 is an abundant number, since it is smaller than the sum of its proper divisors (8369778858).

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

5410253142 is a wasteful number, since it uses less digits than its factorization.

5410253142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41378 (or 41372 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5410253142 is about 73554.4229941341. The cubic root of 5410253142 is about 1755.5203249350.

Adding to 5410253142 its reverse (2413520145), we get a palindrome (7823773287).

The spelling of 5410253142 in words is "five billion, four hundred ten million, two hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 349 378 698 1047 2094 2443 3141 4886 6282 7329 9423 14658 18846 21987 41011 43974 65961 82022 123033 131922 246066 287077 369099 574154 738198 861231 1107297 1722462 2214594 2583693 5167386 7751079 14312839 15502158 28625678 42938517 85877034 100189873 128815551 200379746 257631102 300569619 386446653 601139238 772893306 901708857 1803417714 2705126571 5410253142