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134004004242 = 232338092269
BaseRepresentation
bin111110011001101000…
…0101101010110010010
3110210212222011201212020
41330303100231112102
54143420011113432
6141321030512310
712452513146053
oct1746320552622
9423788151766
10134004004242
1151915848849
1221b79805696
13c837598a04
1466b318272a
15374462a22c
hex1f3342d592

134004004242 has 64 divisors (see below), whose sum is σ = 280659168000. Its totient is φ = 42654294144.

The previous prime is 134004004237. The next prime is 134004004271. The reversal of 134004004242 is 242400400431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59057484 + ... + 59059752.

It is an arithmetic number, because the mean of its divisors is an integer number (4385299500).

Almost surely, 2134004004242 is an apocalyptic number.

134004004242 is an abundant number, since it is smaller than the sum of its proper divisors (146655163758).

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

134004004242 is an equidigital number, since it uses as much as digits as its factorization.

134004004242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 134004004242 its reverse (242400400431), we get a palindrome (376404404673).

The spelling of 134004004242 in words is "one hundred thirty-four billion, four million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 529 809 1058 1587 1618 2269 2427 3174 4538 4854 6807 12167 13614 18607 24334 36501 37214 52187 55821 73002 104374 111642 156561 313122 427961 855922 1200301 1283883 1835621 2400602 2567766 3600903 3671242 5506863 7201806 9843103 11013726 19686206 27606923 29529309 42219283 55213846 59058618 82820769 84438566 126657849 165641538 253315698 971043509 1942087018 2913130527 5826261054 22334000707 44668001414 67002002121 134004004242