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14120131024 = 241975697873
BaseRepresentation
bin11010010011010000…
…00001100111010000
31100110001111222100201
431021220001213100
5212404223143044
610253043224544
71006624063516
oct151150014720
940401458321
1014120131024
115a9649a47a
1228a0978154
13144048061c
1497d4284b6
155799627d4
hex349a019d0

14120131024 has 40 divisors (see below), whose sum is σ = 27548448840. Its totient is φ = 7010992128.

The previous prime is 14120131021. The next prime is 14120131027. The reversal of 14120131024 is 42013102141.

It is an interprime number because it is at equal distance from previous prime (14120131021) and next prime (14120131027).

It can be written as a sum of positive squares in 4 ways, for example, as 705858624 + 13414272400 = 26568^2 + 115820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14120130992 and 14120131010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789552 + ... + 1797424.

It is an arithmetic number, because the mean of its divisors is an integer number (688711221).

Almost surely, 214120131024 is an apocalyptic number.

It is an amenable number.

14120131024 is a deficient number, since it is larger than the sum of its proper divisors (13428317816).

14120131024 is a wasteful number, since it uses less digits than its factorization.

14120131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8647 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14120131024 its reverse (42013102141), we get a palindrome (56133233165).

It can be divided in two parts, 141201 and 31024, that added together give a square (172225 = 4152).

The spelling of 14120131024 in words is "fourteen billion, one hundred twenty million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 197 394 569 788 1138 1576 2276 3152 4552 7873 9104 15746 31492 62984 112093 125968 224186 448372 896744 1550981 1793488 3101962 4479737 6203924 8959474 12407848 17918948 24815696 35837896 71675792 882508189 1765016378 3530032756 7060065512 14120131024