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144311312424 = 23323261433537
BaseRepresentation
bin1000011001100110011…
…1111110000000101000
3111210111022012020120010
42012121213332000220
54331022143444144
6150143512131520
713266111626166
oct2063147760050
9453438166503
10144311312424
1156224a78a64
1223b75696ba0
13107bab42536
146db005c236
153b4948c5b9
hex21999fe028

144311312424 has 32 divisors (see below), whose sum is σ = 376464294720. Its totient is φ = 46012302336.

The previous prime is 144311312399. The next prime is 144311312429. The reversal of 144311312424 is 424213113441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144311312391 and 144311312400.

It is not an unprimeable number, because it can be changed into a prime (144311312429) 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 in 7 ways as a sum of consecutive naturals, for example, 130716217 + ... + 130717320.

It is an arithmetic number, because the mean of its divisors is an integer number (11764509210).

Almost surely, 2144311312424 is an apocalyptic number.

It is an amenable number.

144311312424 is an abundant number, since it is smaller than the sum of its proper divisors (232152982296).

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

144311312424 is a wasteful number, since it uses less digits than its factorization.

144311312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261433569 (or 261433565 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 144311312424 its reverse (424213113441), we get a palindrome (568524425865).

The spelling of 144311312424 in words is "one hundred forty-four billion, three hundred eleven million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 261433537 522867074 784300611 1045734148 1568601222 2091468296 3137202444 6012971351 6274404888 12025942702 18038914053 24051885404 36077828106 48103770808 72155656212 144311312424