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10342142410356 = 2232287281733621
BaseRepresentation
bin1001011001111111011110…
…1110010111111001110100
31100121200212200112112120200
42112133313232113321310
52323421201424112411
633555040432200500
72115123634012041
oct226376756277164
940550780475520
1010342142410356
113328094853a29
1211b0462699130
135a034bb56203
1427a7c31a81c8
1512e05222be56
hex967f7b97e74

10342142410356 has 18 divisors (see below), whose sum is σ = 26142637759602. Its totient is φ = 3447380803440.

The previous prime is 10342142410331. The next prime is 10342142410357. The reversal of 10342142410356 is 65301424124301.

10342142410356 is a `hidden beast` number, since 10 + 3 + 42 + 14 + 241 + 0 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10116407196900 + 225735213456 = 3180630^2 + 475116^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 287281733621 = 10342142410356 / (1 + 0 + 3 + 4 + 2 + 1 + 4 + 2 + 4 + 1 + 0 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10342142410356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342142410357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143640866775 + ... + 143640866846.

Almost surely, 210342142410356 is an apocalyptic number.

It is an amenable number.

10342142410356 is an abundant number, since it is smaller than the sum of its proper divisors (15800495349246).

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

10342142410356 is a wasteful number, since it uses less digits than its factorization.

10342142410356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287281733631 (or 287281733626 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10342142410356 its reverse (65301424124301), we get a palindrome (75643566534657).

The spelling of 10342142410356 in words is "ten trillion, three hundred forty-two billion, one hundred forty-two million, four hundred ten thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 287281733621 574563467242 861845200863 1149126934484 1723690401726 2585535602589 3447380803452 5171071205178 10342142410356