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144420101431 = 109212795713
BaseRepresentation
bin1000011010000000011…
…0111101110100110111
3111210202212220022000121
42012200012331310313
54331233021221211
6150202355552411
713301602415254
oct2064006756467
9453685808017
10144420101431
1156280422831
1223ba5bbb707
1310807542628
146dc069a42b
153b53ccb271
hex21a01bdd37

144420101431 has 12 divisors (see below), whose sum is σ = 146906441472. Its totient is φ = 141966929664.

The previous prime is 144420101417. The next prime is 144420101461. The reversal of 144420101431 is 134101024441.

144420101431 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 144420101431 - 29 = 144420100919 is a prime.

It is a super-2 number, since 2×1444201014312 (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 = 144420101396 and 144420101405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144420101401) 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 11 ways as a sum of consecutive naturals, for example, 1461031 + ... + 1556743.

It is an arithmetic number, because the mean of its divisors is an integer number (12242203456).

Almost surely, 2144420101431 is an apocalyptic number.

144420101431 is a deficient number, since it is larger than the sum of its proper divisors (2486340041).

144420101431 is an equidigital number, since it uses as much as digits as its factorization.

144420101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96058 (or 95949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 144420101431 its reverse (134101024441), we get a palindrome (278521125872).

The spelling of 144420101431 in words is "one hundred forty-four billion, four hundred twenty million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 109 127 11881 13843 95713 1508887 10432717 12155551 1137166153 1324955059 144420101431