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34142510043 = 3327731714401
BaseRepresentation
bin11111110011000011…
…010101101111011011
310021010110011012212000
4133303003111233123
51024410440310133
623403532252043
72316040355415
oct376303255733
9107113135760
1034142510043
1113530614154
12674a311023
1332b1692485
14191c6979b5
15d4c64e413
hex7f30d5bdb

34142510043 has 32 divisors (see below), whose sum is σ = 50927776320. Its totient is φ = 22606387200.

The previous prime is 34142510029. The next prime is 34142510071. The reversal of 34142510043 is 34001524143.

It is a happy number.

34142510043 is a `hidden beast` number, since 3 + 4 + 142 + 510 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 34142510043 - 214 = 34142493659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34142509989 and 34142510016.

It is not an unprimeable number, because it can be changed into a prime (34142510093) 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 31 ways as a sum of consecutive naturals, for example, 2363643 + ... + 2378043.

It is an arithmetic number, because the mean of its divisors is an integer number (1591493010).

Almost surely, 234142510043 is an apocalyptic number.

34142510043 is a deficient number, since it is larger than the sum of its proper divisors (16785266277).

34142510043 is a wasteful number, since it uses less digits than its factorization.

34142510043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15004 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 34142510043 in words is "thirty-four billion, one hundred forty-two million, five hundred ten thousand, forty-three".

Divisors: 1 3 9 27 277 317 831 951 2493 2853 7479 8559 14401 43203 87809 129609 263427 388827 790281 2370843 3989077 4565117 11967231 13695351 35901693 41086053 107705079 123258159 1264537409 3793612227 11380836681 34142510043