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144024231125 = 534128102289
BaseRepresentation
bin1000011000100010000…
…0110101110011010101
3111202202022000000001102
42012020200311303111
54324430200344000
6150055215035445
713256024523365
oct2061040656325
9452668000042
10144024231125
1156097a18595
1223ab550bb85
1310773518948
146d83c8c9a5
153b2e1813d5
hex2188835cd5

144024231125 has 16 divisors (see below), whose sum is σ = 184126204080. Its totient is φ = 112409152000.

The previous prime is 144024231083. The next prime is 144024231151. The reversal of 144024231125 is 521132420441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 108948185329 + 35076045796 = 330073^2 + 187286^2 .

It is not a de Polignac number, because 144024231125 - 212 = 144024227029 is a prime.

It is a super-2 number, since 2×1440242311252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14046020 + ... + 14056269.

It is an arithmetic number, because the mean of its divisors is an integer number (11507887755).

Almost surely, 2144024231125 is an apocalyptic number.

It is an amenable number.

144024231125 is a deficient number, since it is larger than the sum of its proper divisors (40101972955).

144024231125 is an equidigital number, since it uses as much as digits as its factorization.

144024231125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28102345 (or 28102335 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 144024231125 its reverse (521132420441), we get a palindrome (665156651566).

The spelling of 144024231125 in words is "one hundred forty-four billion, twenty-four million, two hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 205 1025 5125 28102289 140511445 702557225 1152193849 3512786125 5760969245 28804846225 144024231125