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1332040041 = 32508129129
BaseRepresentation
bin100111101100101…
…0101000101101001
310102211110122102100
41033121111011221
510212000240131
6340102124013
745003103443
oct11731250551
93384418370
101332040041
116239a1442
12312120609
13182c75697
14c8ca1493
157be1d7e6
hex4f655169

1332040041 has 12 divisors (see below), whose sum is σ = 1924502580. Its totient is φ = 887821440.

The previous prime is 1332040037. The next prime is 1332040063. The reversal of 1332040041 is 1400402331.

It can be written as a sum of positive squares in 2 ways, for example, as 255872016 + 1076168025 = 15996^2 + 32805^2 .

It is not a de Polignac number, because 1332040041 - 22 = 1332040037 is a prime.

It is a super-3 number, since 3×13320400413 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1332039996 and 1332040023.

It is not an unprimeable number, because it can be changed into a prime (1332040001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31165 + ... + 60293.

It is an arithmetic number, because the mean of its divisors is an integer number (160375215).

Almost surely, 21332040041 is an apocalyptic number.

It is an amenable number.

1332040041 is a deficient number, since it is larger than the sum of its proper divisors (592462539).

1332040041 is a wasteful number, since it uses less digits than its factorization.

1332040041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34216 (or 34213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1332040041 is about 36497.1237359877. The cubic root of 1332040041 is about 1100.2864380777.

Adding to 1332040041 its reverse (1400402331), we get a palindrome (2732442372).

It can be divided in two parts, 13320 and 40041, that added together give a square (53361 = 2312).

The spelling of 1332040041 in words is "one billion, three hundred thirty-two million, forty thousand, forty-one".

Divisors: 1 3 9 5081 15243 29129 45729 87387 262161 148004449 444013347 1332040041