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24342544524342 = 2311379968281951
BaseRepresentation
bin1011000100011101100001…
…01110000010010000110110
310012012010100210010000000210
411202032300232002100312
511142312012344234332
6123434451030050250
75061455642320452
oct542166056022066
9105163323100023
1024342544524342
117835684858820
1228918b8aa9986
1310776521aba15
14602284bcb662
152c33135a9ecc
hex1623b0b82436

24342544524342 has 32 divisors (see below), whose sum is σ = 54546438841344. Its totient is φ = 7177163004000.

The previous prime is 24342544524341. The next prime is 24342544524349.

24342544524342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24342544524291 and 24342544524300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24342544524341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4984138534 + ... + 4984143417.

It is an arithmetic number, because the mean of its divisors is an integer number (1704576213792).

Almost surely, 224342544524342 is an apocalyptic number.

24342544524342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24342544524342 is an abundant number, since it is smaller than the sum of its proper divisors (30203894317002).

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

24342544524342 is a wasteful number, since it uses less digits than its factorization.

24342544524342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968282004.

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 2434254 and 4524342, that added together give a palindrome (6958596).

The spelling of 24342544524342 in words is "twenty-four trillion, three hundred forty-two billion, five hundred forty-four million, five hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 9968281951 19936563902 29904845853 59809691706 109651101461 219302202922 328953304383 368826432187 657906608766 737652864374 1106479296561 2212958593122 4057090754057 8114181508114 12171272262171 24342544524342