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144142474921 = 1722329712
BaseRepresentation
bin1000011000111110001…
…1111001111010101001
3111210001112111102001021
42012033203321322221
54330200433144141
6150115041252441
713261661551444
oct2061743717251
9453045442037
10144142474921
115614873a935
1223b29034121
1310791b793a3
146d9586c65b
153b3973b6d1
hex218f8f9ea9

144142474921 has 27 divisors (see below), whose sum is σ = 160232076823. Its totient is φ = 129631451840.

The previous prime is 144142474909. The next prime is 144142474933. The reversal of 144142474921 is 129474241441.

The square root of 144142474921 is 379661.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (144142474909) and next prime (144142474933).

It can be written as a sum of positive squares in only one way, i.e., 112221650025 + 31920824896 = 334995^2 + 178664^2 .

It is not a de Polignac number, because 144142474921 - 213 = 144142466729 is a prime.

It is a super-2 number, since 2×1441424749212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144142474951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148446966 + ... + 148447936.

Almost surely, 2144142474921 is an apocalyptic number.

144142474921 is the 379661-st square number.

144142474921 is the 189831-st centered octagonal number.

It is an amenable number.

144142474921 is a deficient number, since it is larger than the sum of its proper divisors (16089601902).

144142474921 is an frugal number, since it uses more digits than its factorization.

144142474921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1011 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The spelling of 144142474921 in words is "one hundred forty-four billion, one hundred forty-two million, four hundred seventy-four thousand, nine hundred twenty-one".

Divisors: 1 17 23 289 391 529 971 6647 8993 16507 22333 152881 280619 379661 513659 942841 6454237 8732203 16028297 21685343 148447451 272481049 368650831 498762889 6267064127 8478969113 144142474921