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42841962289 = 72295692
BaseRepresentation
bin100111111001100101…
…000111011100110001
311002120201201011212001
4213321211013130301
51200220020243124
631403055534001
73044443446100
oct477145073461
9132521634761
1042841962289
1117195197405
12837782a301
134069ab2559
142105bd6037
1511ab25eb44
hex9f9947731

42841962289 has 9 divisors (see below), whose sum is σ = 49838253867. Its totient is φ = 36720440064.

The previous prime is 42841962281. The next prime is 42841962341. The reversal of 42841962289 is 98226914824.

The square root of 42841962289 is 206983.

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., 22927107889 + 19914854400 = 151417^2 + 141120^2 .

It is not a de Polignac number, because 42841962289 - 23 = 42841962281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42841962281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1434097 + ... + 1463665.

It is an arithmetic number, because the mean of its divisors is an integer number (5537583763).

Almost surely, 242841962289 is an apocalyptic number.

42841962289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42841962289 is the 206983-rd square number.

42841962289 is the 103492-nd centered octagonal number.

It is an amenable number.

42841962289 is a deficient number, since it is larger than the sum of its proper divisors (6996291578).

42841962289 is an frugal number, since it uses more digits than its factorization.

42841962289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59152 (or 29576 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 55.

The spelling of 42841962289 in words is "forty-two billion, eight hundred forty-one million, nine hundred sixty-two thousand, two hundred eighty-nine".

Divisors: 1 7 49 29569 206983 1448881 874325761 6120280327 42841962289