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369142520041 = 191231812
BaseRepresentation
bin1010101111100101001…
…10111101100011101001
31022021211011202222020201
411113302212331203221
522022000441120131
6441325353152201
735445460435411
oct5276246754351
91267734688221
10369142520041
11132609368a49
125b6610bb661
1328a6b719469
1413c1bd09641
159907891761
hex55f29bd8e9

369142520041 has 9 divisors (see below), whose sum is σ = 371202015639. Its totient is φ = 367094398200.

The previous prime is 369142520039. The next prime is 369142520051. The reversal of 369142520041 is 140025241963.

It is a happy number.

The square root of 369142520041 is 607571.

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

It can be written as a sum of positive squares in only one way, i.e., 27549028441 + 341593491600 = 165979^2 + 584460^2 .

It is not a de Polignac number, because 369142520041 - 21 = 369142520039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (369142520051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116044471 + ... + 116047651.

Almost surely, 2369142520041 is an apocalyptic number.

369142520041 is the 607571-st square number.

369142520041 is the 303786-th centered octagonal number.

It is an amenable number.

369142520041 is a deficient number, since it is larger than the sum of its proper divisors (2059495598).

369142520041 is an frugal number, since it uses more digits than its factorization.

369142520041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 369142520041 in words is "three hundred sixty-nine billion, one hundred forty-two million, five hundred twenty thousand, forty-one".

Divisors: 1 191 3181 36481 607571 10118761 116046061 1932683351 369142520041