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10342414331244 = 2232287289286979
BaseRepresentation
bin1001011010000000011111…
…1011101010110101101100
31100121201120122012112220200
42112200013323222311230
52323422231032044434
633555123424313500
72115133445213232
oct226400773526554
940551518175820
1010342414331244
11332821429a136
1211b0519772890
135a03932a2448
1427a80b34c952
1512e06b041199
hex96807eead6c

10342414331244 has 18 divisors (see below), whose sum is σ = 26143325115180. Its totient is φ = 3447471443736.

The previous prime is 10342414331213. The next prime is 10342414331273. The reversal of 10342414331244 is 44213341424301.

10342414331244 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 41 + 4 + 331 + 244 = 666.

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: 287289286979 = 10342414331244 / (1 + 0 + 3 + 4 + 2 + 4 + 1 + 4 + 3 + 3 + 1 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 10342414331199 and 10342414331208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143644643454 + ... + 143644643525.

Almost surely, 210342414331244 is an apocalyptic number.

It is an amenable number.

10342414331244 is an abundant number, since it is smaller than the sum of its proper divisors (15800910783936).

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

10342414331244 is a wasteful number, since it uses less digits than its factorization.

10342414331244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287289286989 (or 287289286984 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10342414331244 its reverse (44213341424301), we get a palindrome (54555755755545).

The spelling of 10342414331244 in words is "ten trillion, three hundred forty-two billion, four hundred fourteen million, three hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 287289286979 574578573958 861867860937 1149157147916 1723735721874 2585603582811 3447471443748 5171207165622 10342414331244