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34123151541 = 340143976451
BaseRepresentation
bin11111110001111001…
…011111100010110101
310021002002201200222110
4133301321133202311
51024341011322131
623402001321233
72315414000553
oct376171374265
9107062650873
1034123151541
11135206a1896
126743936219
1332aa67503b
141919c98bd3
15d4aac8646
hex7f1e5f8b5

34123151541 has 16 divisors (see below), whose sum is σ = 45628440768. Its totient is φ = 22683360000.

The previous prime is 34123151539. The next prime is 34123151567. The reversal of 34123151541 is 14515132143.

It is not a de Polignac number, because 34123151541 - 21 = 34123151539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123151499 and 34123151508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123151581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5286366 + ... + 5292816.

It is an arithmetic number, because the mean of its divisors is an integer number (2851777548).

Almost surely, 234123151541 is an apocalyptic number.

It is an amenable number.

34123151541 is a deficient number, since it is larger than the sum of its proper divisors (11505289227).

34123151541 is a wasteful number, since it uses less digits than its factorization.

34123151541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252.

The product of its digits is 7200, while the sum is 30.

Adding to 34123151541 its reverse (14515132143), we get a palindrome (48638283684).

The spelling of 34123151541 in words is "thirty-four billion, one hundred twenty-three million, one hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 3 401 1203 4397 6451 13191 19353 1763197 2586851 5289591 7760553 28365047 85095141 11374383847 34123151541