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34151040105 = 3571331431372
BaseRepresentation
bin11111110011100011…
…111000010001101001
310021011001012120220020
4133303203320101221
51024420131240410
623404435151053
72316203023410
oct376343702151
9107131176806
1034151040105
111353540a996
126751145489
1332b338ac50
14191d878477
15d4d286a70
hex7f38f8469

34151040105 has 192 divisors, whose sum is σ = 71557398528. Its totient is φ = 13522360320.

The previous prime is 34151040103. The next prime is 34151040107. The reversal of 34151040105 is 50104015143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34151040103) and next prime (34151040107).

It is not a de Polignac number, because 34151040105 - 21 = 34151040103 is a prime.

It is a super-2 number, since 2×341510401052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34151040103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249277597 + ... + 249277733.

It is an arithmetic number, because the mean of its divisors is an integer number (372694784).

Almost surely, 234151040105 is an apocalyptic number.

34151040105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34151040105 is an abundant number, since it is smaller than the sum of its proper divisors (37406358423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34151040105 is a wasteful number, since it uses less digits than its factorization.

34151040105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 34151040105 its reverse (50104015143), we get a palindrome (84255055248).

The spelling of 34151040105 in words is "thirty-four billion, one hundred fifty-one million, forty thousand, one hundred five".