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144042141431 = 17167463109583
BaseRepresentation
bin1000011000100110010…
…1001010011011110111
3111202210112200221101002
42012021211022123313
54324444242011211
6150101054553515
713256333000126
oct2061145123367
9452715627332
10144042141431
11560a70408a1
1223abb50889b
1310777149b66
146d863d1abd
153b30a1d03b
hex218994a6f7

144042141431 has 16 divisors (see below), whose sum is σ = 153761255424. Its totient is φ = 134465003904.

The previous prime is 144042141379. The next prime is 144042141437. The reversal of 144042141431 is 134141240441.

It is a happy number.

144042141431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144042141431 - 234 = 126862272247 is a prime.

It is a super-2 number, since 2×1440421414312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144042141394 and 144042141403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042141437) 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, 1259666 + ... + 1369248.

It is an arithmetic number, because the mean of its divisors is an integer number (9610078464).

Almost surely, 2144042141431 is an apocalyptic number.

144042141431 is a deficient number, since it is larger than the sum of its proper divisors (9719113993).

144042141431 is a wasteful number, since it uses less digits than its factorization.

144042141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110230.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 144042141431 its reverse (134141240441), we get a palindrome (278183381872).

The spelling of 144042141431 in words is "one hundred forty-four billion, forty-two million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 17 167 463 2839 7871 77321 109583 1314457 1862911 18300361 50736929 311106137 862527793 8473067143 144042141431