Search a number
-
+
3943035320401 = 37227971029757
BaseRepresentation
bin111001011000001111001…
…110000011100001010001
3111221221122220121011000001
4321120033032003201101
51004100314020223101
612215223323130001
7554606043136042
oct71301716034121
914857586534001
103943035320401
111290260709771
1253822a673901
13227a9916b628
14d8bb5a488c9
156c879e76901
hex3960f383851

3943035320401 has 12 divisors (see below), whose sum is σ = 4053936877788. Its totient is φ = 3835091437632.

The previous prime is 3943035320377. The next prime is 3943035320447. The reversal of 3943035320401 is 1040235303493.

It can be written as a sum of positive squares in 6 ways, for example, as 154153605376 + 3788881715025 = 392624^2 + 1946505^2 .

It is not a de Polignac number, because 3943035320401 - 229 = 3942498449489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3943035320461) 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, 3314215 + ... + 4343971.

It is an arithmetic number, because the mean of its divisors is an integer number (337828073149).

Almost surely, 23943035320401 is an apocalyptic number.

It is an amenable number.

3943035320401 is a deficient number, since it is larger than the sum of its proper divisors (110901557387).

3943035320401 is a wasteful number, since it uses less digits than its factorization.

3943035320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032628 (or 1032591 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 3943035320401 in words is "three trillion, nine hundred forty-three billion, thirty-five million, three hundred twenty thousand, four hundred one".

Divisors: 1 37 1369 2797 103489 1029757 3829093 38101009 1409737333 2880230329 106568522173 3943035320401