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42941371729 = 47244092
BaseRepresentation
bin100111111111100000…
…010101010101010001
311002211122202200222011
4213333200111111101
51200420442343404
631421010342521
73050061431404
oct477740252521
9132748680864
1042941371729
1117236315173
1283a4b8aa41
13408457a2c9
1421150b1d3b
1511b4d49604
hex9ff815551

42941371729 has 9 divisors (see below), whose sum is σ = 43884410587. Its totient is φ = 42018193264.

The previous prime is 42941371727. The next prime is 42941371741. The reversal of 42941371729 is 92717314924.

The square root of 42941371729 is 207223.

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., 3228853329 + 39712518400 = 56823^2 + 199280^2 .

It is not a de Polignac number, because 42941371729 - 21 = 42941371727 is a prime.

It is a super-2 number, since 2×429413717292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42941371721) 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 8 ways as a sum of consecutive naturals, for example, 9737277 + ... + 9741685.

Almost surely, 242941371729 is an apocalyptic number.

42941371729 is the 207223-rd square number.

42941371729 is the 103612-nd centered octagonal number.

It is an amenable number.

42941371729 is a deficient number, since it is larger than the sum of its proper divisors (943038858).

42941371729 is an frugal number, since it uses more digits than its factorization.

42941371729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 4456 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

Multiplying 42941371729 by its sum of digits (49), we get a square (2104127214721 = 14505612).

The spelling of 42941371729 in words is "forty-two billion, nine hundred forty-one million, three hundred seventy-one thousand, seven hundred twenty-nine".

Divisors: 1 47 2209 4409 207223 9739481 19439281 913646207 42941371729