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1342177281 = 32149130809
BaseRepresentation
bin101000000000000…
…0000000000000001
310110112112200002200
41100000000000001
510222044133111
6341103303413
745155214204
oct12000000001
93415480080
101342177281
11629695725
123155aab69
131850b4853
14ca37d93b
157cc72256
hex50000001

1342177281 has 6 divisors (see below), whose sum is σ = 1938700530. Its totient is φ = 894784848.

The previous prime is 1342177237. The next prime is 1342177283. The reversal of 1342177281 is 1827712431.

It can be written as a sum of positive squares in only one way, i.e., 838623681 + 503553600 = 28959^2 + 22440^2 .

It is not a de Polignac number, because 1342177281 - 27 = 1342177153 is a prime.

It is a super-2 number, since 2×13421772812 = 3602879707265105922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1342177283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74565396 + ... + 74565413.

It is an arithmetic number, because the mean of its divisors is an integer number (323116755).

It is a Proth number, since it is equal to 5 ⋅ 228 + 1 and 5 < 228.

Almost surely, 21342177281 is an apocalyptic number.

It is an amenable number.

1342177281 is a deficient number, since it is larger than the sum of its proper divisors (596523249).

1342177281 is a wasteful number, since it uses less digits than its factorization.

1342177281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149130815 (or 149130812 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1342177281 is about 36635.7377570044. The cubic root of 1342177281 is about 1103.0705615703.

The spelling of 1342177281 in words is "one billion, three hundred forty-two million, one hundred seventy-seven thousand, two hundred eighty-one".

Divisors: 1 3 9 149130809 447392427 1342177281