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3440737141 = 23219973257
BaseRepresentation
bin1100110100010101…
…0111101101110101
322212210100120000221
43031011113231311
524021312042031
61325230534341
7151156532422
oct31505275565
98783316027
103440737141
11150622a816
128003673b1
1342aaba04a
14248d72d49
15152102a11
hexcd157b75

3440737141 has 12 divisors (see below), whose sum is σ = 3599744652. Its totient is φ = 3288481856.

The previous prime is 3440737129. The next prime is 3440737159. The reversal of 3440737141 is 1417370443.

It can be written as a sum of positive squares in 2 ways, for example, as 1328967025 + 2111770116 = 36455^2 + 45954^2 .

It is not a de Polignac number, because 3440737141 - 215 = 3440704373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3440737097 and 3440737106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440737441) 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 11 ways as a sum of consecutive naturals, for example, 1054785 + ... + 1058041.

It is an arithmetic number, because the mean of its divisors is an integer number (299978721).

Almost surely, 23440737141 is an apocalyptic number.

It is an amenable number.

3440737141 is a deficient number, since it is larger than the sum of its proper divisors (159007511).

3440737141 is a wasteful number, since it uses less digits than its factorization.

3440737141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 3440737141 is about 58657.7969327182. The cubic root of 3440737141 is about 1509.6762812037.

The spelling of 3440737141 in words is "three billion, four hundred forty million, seven hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 23 529 1997 3257 45931 74911 1056413 1722953 6504229 149597267 3440737141