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34024234125 = 353724739397
BaseRepresentation
bin11111101100000000…
…001001110010001101
310020211012121011210110
4133230000021302031
51024140200443000
623344105230233
72313103134600
oct375400116215
9106735534713
1034024234125
111347a87a762
126716792379
13329302021b
14190aaaa337
15d42089850
hex7ec009c8d

34024234125 has 96 divisors (see below), whose sum is σ = 67262787072. Its totient is φ = 15222614400.

The previous prime is 34024234117. The next prime is 34024234141. The reversal of 34024234125 is 52143242043.

It is not a de Polignac number, because 34024234125 - 23 = 34024234117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34024234092 and 34024234101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 843927 + ... + 883323.

It is an arithmetic number, because the mean of its divisors is an integer number (700654032).

Almost surely, 234024234125 is an apocalyptic number.

34024234125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34024234125 is a deficient number, since it is larger than the sum of its proper divisors (33238552947).

34024234125 is a wasteful number, since it uses less digits than its factorization.

34024234125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39476 (or 39459 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34024234125 its reverse (52143242043), we get a palindrome (86167476168).

The spelling of 34024234125 in words is "thirty-four billion, twenty-four million, two hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 47 49 75 105 125 141 147 175 235 245 329 375 525 705 735 875 987 1175 1225 1645 2303 2625 3525 3675 4935 5875 6125 6909 8225 11515 17625 18375 24675 34545 39397 41125 57575 118191 123375 172725 196985 275779 287875 590955 827337 863625 984925 1378895 1851659 1930453 2954775 4136685 4924625 5554977 5791359 6894475 9258295 9652265 12961613 14773875 20683425 27774885 28956795 34472375 38884839 46291475 48261325 64808065 90731291 103417125 138874425 144783975 194424195 231457375 241306625 272193873 324040325 453656455 694372125 723919875 972120975 1360969365 1620201625 2268282275 4860604875 6804846825 11341411375 34024234125