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34344003141 = 3271564334849
BaseRepresentation
bin11111111111000011…
…111110011001000101
310021122111022010102100
4133333003332121011
51030314031100031
623435531102313
72324035132020
oct377703763105
9107574263370
1034344003141
1113624326978
1267a58a1999
133314350266
14193b3481b7
15d601a0de6
hex7ff0fe645

34344003141 has 24 divisors (see below), whose sum is σ = 56700113600. Its totient is φ = 19623326976.

The previous prime is 34344003107. The next prime is 34344003149. The reversal of 34344003141 is 14130044343.

34344003141 is a `hidden beast` number, since 3 + 4 + 344 + 0 + 0 + 314 + 1 = 666.

It is not a de Polignac number, because 34344003141 - 214 = 34343986757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344003149) 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 23 ways as a sum of consecutive naturals, for example, 968085 + ... + 1002933.

Almost surely, 234344003141 is an apocalyptic number.

It is an amenable number.

34344003141 is a deficient number, since it is larger than the sum of its proper divisors (22356110459).

34344003141 is a wasteful number, since it uses less digits than its factorization.

34344003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50505 (or 50502 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34344003141 its reverse (14130044343), we get a palindrome (48474047484).

The spelling of 34344003141 in words is "thirty-four billion, three hundred forty-four million, three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 15643 34849 46929 104547 109501 140787 243943 313641 328503 731829 985509 2195487 545142907 1635428721 3816000349 4906286163 11448001047 34344003141