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3412031331141 = 333138910479437
BaseRepresentation
bin110001101001101100111…
…010100101101101000101
3110002012001022220121001000
4301221230322211231011
5421400320010044031
611131244320523513
7501340213533216
oct61515472455505
913065038817030
103412031331141
1110a604180a254
12471336480599
131b99a39528a4
14bb200d1140d
155db4c4eb3e6
hex31a6cea5b45

3412031331141 has 32 divisors (see below), whose sum is σ = 5231335449600. Its totient is φ = 2195651430720.

The previous prime is 3412031331119. The next prime is 3412031331151. The reversal of 3412031331141 is 1411331302143.

3412031331141 is a `hidden beast` number, since 3 + 412 + 0 + 3 + 133 + 114 + 1 = 666.

It is not a de Polignac number, because 3412031331141 - 25 = 3412031331109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412031331151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4914126 + ... + 5565311.

It is an arithmetic number, because the mean of its divisors is an integer number (163479232800).

Almost surely, 23412031331141 is an apocalyptic number.

3412031331141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3412031331141 is a deficient number, since it is larger than the sum of its proper divisors (1819304118459).

3412031331141 is a wasteful number, since it uses less digits than its factorization.

3412031331141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479866 (or 10479860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3412031331141 its reverse (1411331302143), we get a palindrome (4823362633284).

The spelling of 3412031331141 in words is "three trillion, four hundred twelve billion, thirty-one million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 31 93 279 389 837 1167 3501 10503 12059 36177 108531 325593 10479437 31438311 94314933 282944799 324862547 974587641 2923762923 4076500993 8771288769 12229502979 36688508937 110065526811 126371530783 379114592349 1137343777047 3412031331141