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123312441344 = 21160211153
BaseRepresentation
bin111001011010111111…
…1101000100000000000
3102210021212010001210012
41302311333220200000
54010020441110334
6132352101324052
711623540312541
oct1626577504000
9383255101705
10123312441344
1148329727354
121ba95106628
13b822534531
145d7b2404c8
15331abb49ce
hex1cb5fe8800

123312441344 has 24 divisors (see below), whose sum is σ = 246564675630. Its totient is φ = 61656219648.

The previous prime is 123312441331. The next prime is 123312441349. The reversal of 123312441344 is 443144213321.

It can be written as a sum of positive squares in only one way, i.e., 67101721600 + 56210719744 = 259040^2 + 237088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 123312441344.

It is not an unprimeable number, because it can be changed into a prime (123312441349) by changing a digit.

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 as a sum of consecutive naturals, namely, 30103529 + ... + 30107624.

Almost surely, 2123312441344 is an apocalyptic number.

It is an amenable number.

123312441344 is a deficient number, since it is larger than the sum of its proper divisors (123252234286).

123312441344 is an frugal number, since it uses more digits than its factorization.

123312441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60211175 (or 60211155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 123312441344 its reverse (443144213321), we get a palindrome (566456654665).

The spelling of 123312441344 in words is "one hundred twenty-three billion, three hundred twelve million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 60211153 120422306 240844612 481689224 963378448 1926756896 3853513792 7707027584 15414055168 30828110336 61656220672 123312441344