Search a number
-
+
3434142412341 = 322337597599661
BaseRepresentation
bin110001111110010010110…
…101101010111000110101
3110011022010021210220021100
4301332102311222320311
5422231110424143331
611145342342040313
7503052151605624
oct61762265527065
913138107726240
103434142412341
111104458955883
12475687419099
131bbab87c80a4
14bc2db7296bb
155e4e376cae6
hex31f92d6ae35

3434142412341 has 48 divisors (see below), whose sum is σ = 5406095560320. Its totient is φ = 2094587890560.

The previous prime is 3434142412301. The next prime is 3434142412343. The reversal of 3434142412341 is 1432142414343.

3434142412341 is a `hidden beast` number, since 3 + 4 + 3 + 414 + 2 + 4 + 1 + 234 + 1 = 666.

It is not a de Polignac number, because 3434142412341 - 26 = 3434142412277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434142412296 and 3434142412305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434142412343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347950 + ... + 4251711.

It is an arithmetic number, because the mean of its divisors is an integer number (112626990840).

Almost surely, 23434142412341 is an apocalyptic number.

It is an amenable number.

3434142412341 is a deficient number, since it is larger than the sum of its proper divisors (1971953147979).

3434142412341 is a wasteful number, since it uses less digits than its factorization.

3434142412341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599786 (or 7599783 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 3434142412341 its reverse (1432142414343), we get a palindrome (4866284826684).

It can be divided in two parts, 3434142 and 412341, that added together give a palindrome (3846483).

The spelling of 3434142412341 in words is "three trillion, four hundred thirty-four billion, one hundred forty-two million, four hundred twelve thousand, three hundred forty-one".

Divisors: 1 3 9 23 37 59 69 111 177 207 333 531 851 1357 2183 2553 4071 6549 7659 12213 19647 50209 150627 451881 7599661 22798983 68396949 174792203 281187457 448379999 524376609 843562371 1345139997 1573129827 2530687113 4035419991 6467311511 10312739977 16590059963 19401934533 30938219931 49770179889 58205803599 92814659793 149310539667 381571379149 1144714137447 3434142412341