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540103322254014 = 23263434730528161
BaseRepresentation
bin111101011001110001001101…
…0101010100011101010111110
32121211100101002011112222201200
41322303202122222203222332
51031243023100444112024
65152412012500320330
7221523114551626611
oct17263423252435276
92554311064488650
10540103322254014
11147103594a47612
12506ab7859a30a6
131a24a6a8b4255c
1497531d6cc6178
1542694d83512c9
hex1eb389aaa3abe

540103322254014 has 24 divisors (see below), whose sum is σ = 1170408355729392. Its totient is φ = 180006057544320.

The previous prime is 540103322254009. The next prime is 540103322254019. The reversal of 540103322254014 is 410452223301045.

It is a happy number.

540103322254014 is a `hidden beast` number, since 5 + 4 + 0 + 103 + 3 + 2 + 2 + 2 + 540 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (540103322254009) and next prime (540103322254019).

It is a super-2 number, since 2×5401033222540142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540103322254014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540103322254019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2365149907 + ... + 2365378254.

It is an arithmetic number, because the mean of its divisors is an integer number (48767014822058).

Almost surely, 2540103322254014 is an apocalyptic number.

540103322254014 is an abundant number, since it is smaller than the sum of its proper divisors (630305033475378).

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

540103322254014 is a wasteful number, since it uses less digits than its factorization.

540103322254014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730534512 (or 4730534509 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 540103322254014 its reverse (410452223301045), we get a palindrome (950555545555059).

The spelling of 540103322254014 in words is "five hundred forty trillion, one hundred three billion, three hundred twenty-two million, two hundred fifty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 6343 12686 19029 38058 57087 114174 4730528161 9461056322 14191584483 28383168966 42574753449 85149506898 30005740125223 60011480250446 90017220375669 180034440751338 270051661127007 540103322254014